All You Need to Know About Research Methodology


by

Rajasekar, P. Philomination, V. Chinnathambi

Abstract

In this manuscript various components of research are listed and briefly discussed. The topics considered in this write-up cover a part of the research methodology paper of Master of Philosophy (M.Phil.) course and Doctor of Philosophy (Ph.D.) course. The manuscript is intended for students and research scholars of science subjects such as mathematics, physics, chemistry, statistics, biology and computer science. Various stages of research are discussed in detail. Special care has been taken to motivate the young researchers to take up challenging problems. Ten assignment works are given. For the benefit of young researchers a short interview with three eminent scientists is included at the end of the manuscript.

I. What is research?

Research is a logical and systematic search for new and useful information on a particular topic. It is an investigation of finding solutions to scientific and social problems through objective and systematic analysis. It is a search for knowledge, that is, a discovery of hidden truths. Here knowledge means information about mat­ters. The information might be collected from different sources like experience, human beings, books, journals, nature, etc. A research can lead to new contributions to the existing knowledge. Only through research is it possi­ble to make progress in a field. Research is done with the help of study, experiment, observation, analysis, compar­ison and reasoning. Research is in fact ubiquitous. For example, we know that cigarette smoking is injurious to health; heroine is addictive; cow dung is a useful source of biogas; malaria is due to the virus protozoan plasmod­ium; AIDS (Acquired Immuno Deficiency Syndrome) is due to the virus HIV (Human Immuno deficiency Virus). How did we know all these? We became aware of all these information only through research. More precisely, it seeks predictions of events and explanations, relation­ships and theories for them.

Research is a logical and systematic search for new and useful information on a particular topic.

What are the Objectives of Research?

The prime objectives of research are:

  1. to discover new facts
  2. to verify and test important facts
  3. to analyse an event or process or phenomenon to identify the cause and effect relationship
  4. to develop new scientific tools, concepts and theo­ries to solve and understand scientific and nonsci- entific problems
  5. to find solutions to scientific, nonscientific and so­cial problems and
  6. to overcome or solve the problems occurring in our every day life.

What Makes People do Research?

This is a fundamentally important question. No person would like to do research unless there are some motivating factors. Some of the motivations are the following:

  1. to get a research degree (Doctor of Philosophy (Ph.D.)) along with its benefits like better employ­ment, promotion, increment in salary, etc.
  2. to get a research degree and then to get a teach­ing position in a college or university or become a scientist in a research institution
  3. to get a research position in countries like U.S.A., Canada, Germany, England, Japan, Australia, etc. and settle there
  4. to solve the unsolved and challenging problems
  5. to get joy of doing some creative work
  6. to acquire respectability
  7. to get recognition
  8. curiosity to find out the unknown facts of an event
  9. curiosity to find new things
  10. to serve the society by solving social problems.

Some students undertake research without any aim pos­sibly because of not being able to think of anything else to do. Such students can also become good researchers by motivating themselves toward a respectable goal.

Ph.D. degree is a passport to a research ca­reer. The Ph.D. period often influence a research scholar to make or to break in a scientific career.

Prof.P.Balaram


Importance of Research

Research is important both in scientific and nonscien- tific fields. In our life new problems, events, phenom­ena and processes occur every day. Practically imple- mentable solutions and suggestions are required for tack­ling new problems that arise. Scientists have to under­take research on them and find their causes, solutions, explanations and applications. Precisely, research assists us to understand nature and natural phenomena.

Some important avenues for research are:

  1. A research problem refers to a difficulty which a re­searcher or a scientific community or an industry or a government organization or a society experiences. It may be a theoretical or a practical situation. It calls for a thorough understanding and possible so­lution.
  2. Research on existing theories and concepts help us identify the range and applications of them.
  3. It is the fountain of knowledge and provide guide­lines for solving problems.
  4. Research provides basis for many government poli­cies. For example, research on the needs and desires of the people and on the availability of revenues to meet the needs helps a government to prepare a budget.
  5. It is important in industry and business for higher gain and productivity and to improve the quality of products.
  6. Mathematical and logical research on business and industry optimizes the problems in them.
  7. It leads to the identification and characterization of new materials, new living things, new stars, etc.
  8. Only through research can inventions be made; for example, new and novel phenomena and processes such as superconductivity and cloning have been discovered only through research.
  9. Social research helps find answers to social prob­lems. They explain social phenomena and seek so­lution to social problems.
  10. Research leads to a new style of life and makes it delightful and glorious .

Emphasizing the importance of research Louis Pasteur said “I beseech you to take interest in these sacred do­mains called laboratories. Ask that there be more and that they be adorned for these are the temples of the future, wealth and well-being. It is here that human­ity will learn to read progress and individual harmony in the works of nature, while humanity’s own works are all too often those of babarism, fanaticism and destruc­tion.” (Louis Paster – article by S.Mahanti, Dream 2047, p.29-34 (May 2003)).

In order to know what it means to do research one may read scientific autobiographies like Richard Feynmann’s “Surely you are joking, Mr.Feynmann!”, Jim Watson’s “The double helix”, “Science as a way of life – A biogra­phy of C.N.R. Rao” by Mohan Sundararajan, etc.


phd30Research methods and research methodology

↑top
Is there any difference between research methods and research methodology?

Research methods are the various procedures, schemes, algorithms, etc. used in research. All the methods used by a researcher during a research study are termed as research methods. They are essentially planned, scientific and value-neutral. They include theoretical procedures, experimental studies, numerical schemes, statistical approaches, etc. Research methods help us collect samples, data and find a solution to a problem. Particularly, scientific research methods call for explanations based on collected facts, measurements and observations and not on reasoning alone. They ac­cept only those explanations which can be verified by experiments.

Research methodology is a systematic way to solve a problem. It is a science of studying how research is to be carried out. Essentially, the procedures by which researchers go about their work of describing, explaining and predicting phenomena are called research methodol­ogy. It is also defined as the study of methods by which knowledge is gained. Its aim is to give the work plan of research.

Importance of Research Methodology in Research Study

It is necessary for a researcher to design a methodol­ogy for the problem chosen. One should note that even if the method considered in two problems are same the methodology may be different. It is important for the re­searcher to know not only the research methods necessary for the research under taken but also the methodology. For example, a researcher not only needs to know how to calculate mean, variance and distribution function for a set of data, how to find a solution of a physical system described by mathematical model, how to determine the roots of algebraic equations and how to apply a particu­lar method but also need to know (i) which is a suitable method for the chosen problem?, (ii) what is the order of accuracy of the result of a method?, (iii) what is the efficiency of the method? and so on. Consideration of these aspects constitute a research methodology.

To understand the difference between research meth­ods and methodology let us consider the problem of find­ing the roots of the quadratic equation
1

The formulas often used for calculating the roots of eq.(1) are

5
4

These formulas are, however, inaccurate when . The equivalent formulas are

2

3

When  6 one must proceed with caution to avoid loss of precision. If b > 0, then should be com­puted with the formula given by eq.(2) and  should be computed with the formula given by eq.(3). If b < 0 then  should be evaluated using eq.(4) and should be evaluated using eq.(5). Here the two formulas constitute the method of finding roots of the equation of the form given by eq.(1). If you use the formulas given by eqs.(4- 5) instead of the formulas given by eqs.(2-3) (often used and familiar to us) to compute the roots then you should clearly explain why the formulas in eqs.(4-5) were chosen and why the other formulas given by eqs.(2-3) were not considered. This is what we mean by a research method­ology. That is, research methodology tells you which method or formula or algorithm has to be used out of the various existing methods or formulas or algorithms.

More precisely, research methods help us get a solution to a problem. On the other hand, research methodology is concerned with the explanation of the following:

  1. Why is a particular research study undertaken?
  2. How did one formulate a research problem?
  3. What types of data were collected?
  4. What particular method has been used?
  5. Why was a particular technique of analysis of data used?

The study of research methods gives training to apply them to a problem. The study of research methodology provides us the necessary training in choosing methods, materials, scientific tools and training in techniques rel­evant for the problem chosen.


phd30 Types of research

↑top
Research is broadly classified into two main classes:

  1. Fundamental or basic research
  2. Applied research

Basic Research

↑top
Basic research is an investigation on basic principles and reasons for occurrence of a particular event or pro­cess or phenomenon. It is also called theoretical research. Study or investigation of some natural phenomenon or re­lating to pure science are termed as basic research. Basic researches some times may not lead to immediate use or application. It is not concerned with solving any prac­tical problems of immediate interest. But it is original or basic in character. It provides a systematic and deep insight into a problem and facilitates extraction of scien­tific and logical explanation and conclusion on it. It helps build new frontiers of knowledge. The outcomes of basic research form the basis for many applied research. Re­searchers working on applied research have to make use of the outcomes of basic research and explore the utility of them.

Research on improving a theory or a method is also referred as fundamental research. For example, suppose a theory is applicable to a system provided the system satisfies certain specific conditions. Modifying the theory to apply it to a general situation is a basic research.

Attempts to find answers to the following questions ac­tually form basic research. Why are materials like that? What they are? How does a crystal melt? Why is sound produced when water is heated? Why do we feel difficult when walking on seashore? Why are birds arrange them in ‘>’ shape when flying in a group?

Fundamental research leads to a new theory or a new property of matter or even the existence of a new matter, the knowledge of which has not been known or reported earlier. For example, fundamental research on

  1. astronomy may lead to identification of new planets or stars in our galaxy,
  2. elementary particles results in identification of new particles,
  3. complex functions may leads to new patterns or new properties associated with them,
  4. differential equations results in new types of solu­tions or new properties of solutions not known so far.
  5. chemical reactions leads to development of new compounds, new properties of chemicals, mecha­nism of chemicals reactions, etc.
  6. medicinal chemistry leads to an understanding of physiological action of various chemicals and drugs.
  7. structure, contents and functioning of various parts of human body helps us identify the basis for cer­tain diseases.

Applied Research

↑top
In an applied research one solves certain problems em­ploying well known and accepted theories and principles. Most of the experimental research, case studies and inter­disciplinary research are essentially applied research. Ap­plied research is helpful for basic research. A research, the outcome of which has immediate application is also termed as applied research. Such a research is of prac­tical use to current activity. For example, research on social problems have immediate use. Applied research is concerned with actual life research such as research on increasing efficiency of a machine, increasing gain factor of production of a material, pollution control, preparing vaccination for a disease, etc. Obviously, they have im­mediate potential applications.

Some of the differences between basic and applied re­search are summarized in table 1.1. Thus, the central aim of applied research is to find a solution for a practi­cal problem which warrants solution for immediate use, whereas basic research is directed towards finding infor­mation that has broad base of applications and thus add new information to the already existing scientific knowl­edge.


Quantitative and Qualitative Methods

↑top
The basic and applied researches can be quantitative or qualitative or even both. Quantitative research is based on the measurement of quantity or amount. Here a pro­cess is expressed or described in terms of one or more quantities. Qualitative research is concerned with quali­tative phenomenon involving quality. It is non-numerical, descriptive, applies reasoning and uses words. Its aim is to get the meaning, feeling and describe the situation. We measure and weigh things in the study of substance or structure. Can we measure or weigh patterns? We cannot measure or weigh patterns. But to study pat­terns we must map a configuration of relationships. That is, structures involve quantities whereas patterns involve qualities. If one wishes to investigate why certain data are random then it is a qualitative research. If the aim is to study how random the data is, what is the mean, variance and distribution function then it becomes quan­titative. Explaining how digestion of food takes place in our body is a qualitative description. It does not involve any numbers or data and quantities.

The detection of a particular compound is a qualitative analysis. This can be done by carrying out physical or chemical tests. Determination of exact amount of a par-ticular compound present in a volume is essentially quan­titative analysis. This can be done by volumetric, gravi­metric and calorimetric methods or instrumental meth­ods. Experimental and simulation studies are generally quantitative research.

Differences between basic and applied researches.

Basic researchApplied research
Seeks generalizationStudies individual or specific cases without the objective to generalize
Aims at basic processesAims at any variable which makes the desired difference
Attempts to explain why things happenTries to say how things can be changed
Tries to get all the factsTries to correct the facts which are problematic
Reports in technical language of the topicReports in common language

Other Types of Research

↑top
Other types of research include action research (fact findings to improve the quality of action in the social world), explanatory research (searching explanations for events and phenomena, for example finding answer to the question why are the things like what they are?), ex­ploratory research (getting more information on a topic) and comparative research (obtaining similarities and dif­ferences between events, methods, techniques, etc.). For discussion on these types of research see refs.[1-3].

Assignment:

  1. List out at least 10 theoretical and applied methods which you have learned in your UG, PG courses and write their features in two or three sentences.

  2. Write at least 20 questions in your subject the in­vestigation of which forms basic research. Then point out how many of them have already been solved and how many were found in applications.

  3. Distinguish between theory and experiment.

  4. Write a note on importance of theory in basic and applied researches.

  5. Bring out the importance of inter-disciplinary re­search.

phd30 Various stages of a research

↑top
Whenever a scientific problem is to be solved there are several important steps to follow. The problem must be stated clearly, including any simplifying assumptions. Then develop a mathematical statement of the problem. This process may involve use of one or more mathemat­ical procedures. Frequently, more advanced text books or review articles will be needed to learn about the tech­niques and procedures. Next, the results have to be in­terpreted to arrive at a decision. This will require ex­perience and an understanding of the situation in which the problem is embedded. A general set of sequential components of research is the following:

  1. [heading] Selection of a research topic [/heading]
  2. [heading] Definition of a research problem [/heading]
  3. [heading] Literature survey and reference collection [/heading]
  4. [heading]Assessment of current status of the topic chosen  [/heading]
  5. [heading] Formulation of hypotheses [/heading]
  6. [heading] Research design[/heading]
  7. [heading] Actual investigation [/heading]
  8. [heading] Data analysis[/heading]
  9. [heading] Interpretation of result[/heading]
  10. [heading] Report [/heading]

 Selection Of a Research Topic and Problem

↑top
The starting point of a research is the selection of a research topic and problem. Identifying a suitable topic for work is one of the most difficult parts of a research. Before choosing a research topic and a problem the young researchers should keep the following points in mind.

  • Topic should be suitable for research.
  • The researcher should have interest in it.
  • Topic should not be chosen by compulsion from some one else.

Topic and problem can be fixed in consultation with the research supervisor. In our country often research su­pervisors suggest a topic and state a problem in broad view. The researcher has to narrow it and define it in operational form. One may ask: Is it necessary that the topic of a Ph.D. should be different from M.Sc. project and M.Phil dissertation? The answer is not necessary. If a student is able to get a supervisor working in his M.Sc.project or M.Phil dissertation topic then it would save about six months in the duration of his Ph.D. work.

Can a Researcher Choose a Topic by himself?

A youngster interested to start a research career wishes to know whether he/she has freedom to do research in the topic of his/her own interest. The style of research in our country and various other factors like the infrastructure facility available in a research institute, time limit, our commitment to family and social set up hardly allow a young researcher to choose a topic by himself for his PG project, M.Phil. dissertation and Ph.D. thesis. How­ever, many research supervisors give complete freedom to choose a problem in the topic suggested by him for a Ph.D. research work. Because the normal time duration of M.Phil dissertation is about 6-8 months, it is better to work on the problem suggested by the supervisor.

If a student wishes to do research (for Ph.D. degree) with fellowship then he cannot have freedom to choose a topic since he has to work on a project the goal of which is already defined by the project investigator. On the other hand, after choosing a topic of his own interest he has to find a supervisor who is working in that topic or interested in guiding him. In this case one has severe limitation in our country for getting a fellowship and for registering for a research degree. If a student is not very much particular about the fellowship he has a chance to do research in the topic of his own interest. A researcher in India after two years of research experience with few (two or more) publications can apply for a senior research fellowship (SRF) to CSIR (Council for Scientific and In­dustrial Research) (for details see its and other relevant web sites). He can prepare a project under the direction of his Ph.D. supervisor which can lead to a fellowship. For details see the book ‘How to get scholarships, Fel­lows and Stipends’ by K.D.Kalaskar (Sultan Chand and Sons, New Delhi))

Considering the above, a researcher should make-up his mind so as to work in a topic suggested by the super­visor. However, a research problem may be chosen by a researcher himself. This has several advantages. In this case

  • the researcher can pursue his/her own interest to the farthest limits,
  • there is an opportunity to spend a long time on something that is a continuous source of his plea­sure and
  • the results would prove better in terms of the growth of the investigator and the quality of the work.

If the researcher is not interested in the topic and prob­lem assigned to him but is working on it because of su­pervisor’s compulsion, then he will not be able to face and overcome the obstacles which come at every stage in research.

Identification of a Research Topic and Problems

Some sources of identification of a research topic and problems are the following:

  1. Theory of one’s own interest
  2. Daily problems
  3. Technological changes
  4. Recent trends
  5. Unexplored areas
  6. Discussion with experts and research supervisor

Suppose one is interested in the theory of nonlinear dif­ferential equations or quasicrystals or fullerenes. Then he can find a research guide who is working in this field or interested to work in this field and then choose a problem for research.

Our daily experiences and day to affairs have rich open­ings on various aspects such as the daunting tasks of AIDS, air pollution, afforestation and deforestation, child labor, problems of aged citizens, etc.

Technology in various branches of science, business and marketing changes rapidly. For example, in the early years, computers were built in larger size with vacuum tubes. Then evolution in electronic technology replaced them by integrated circuits. Recently, scientists have de­veloped quantum dots. Now the interest is in developing efficient, super-fast and miniaturized computing machine made up of material whose particle size of the order of nano (10-9) meter or even smaller. Similarly, another fascinating topic namely, thin film has multiple fields of applications. Recent research on fullerenes resulted in many practical applications.

Choosing a topic of current interest or recent trends provides bright and promising opportunities for young researchers to get post-doctoral fellowship, position in leading institutions in our nation and abroad.

In each subject there are several topics which are not explored in detail even though the topic was considered by scientists long time ago. For example, string theory, quantum computing, nano particles, quantum cloning and quantum cryptography and gene immunology are fascinating topics and are in preliminary stages.

The supervisors and experts are working on one or few fields over a long time and they are the specialists in the field considered and well versed with the development and current status of the field. Therefore, a young re­searcher can make use of their expertise in knowing var­ious possible problems in the topic the solving of which provide better opportunities in all aspects.

Don’t choose a topic simply because it is fascinating. In choosing a topic one should take care of the possibil­ity of data collection, quantity of gain, breadth of the topic and so on. The topic should not be too narrow. For example, the study of social status and sexual life of married couples of same sex (man-man marriage and woman-woman marriage) is interesting and of social rel­evance. But the intricate problem here is that we do not find enough number of such couples to study. This is a very narrow topic at the same time we will not get enough data to analyze. On the other hand, the changes in the social life of aravanis in recent times is a valuable social problem and one can collect enough data.

Further, one has to study advanced level text books and latest research articles to identify problems. Is it necessary to know all the methods, techniques, concepts in a research topic before identifying a problem for in­vestigation? This is not necessary. After learning some fundamental concepts, recent developments and current trends of a topic, one can identify a problem for research. Then he can learn the tools necessary to solve it.

 Definition and Formulation of a Problem

After identifying a problem, in order to solve it, it has to be defined and formulated properly. For this purpose, one can execute the following.

  • State the problem in questionnaire form or in an equivalent form
  • Specify the problem in detail and in precise terms
  • List the assumptions made
  • Remove the ambiguities, if any, in the statement of the problem
  • Examine the feasibility of a particular solution

Defining the problem is more important than its solution. It is a crucial part of the research study and should not be defined in hurry.

 How do you Assess Whether the Defined Problem as a Good Problem?

↑top
A problem in its first definition may not be appealing. It may require redefinition in order to make it a good problem. That is, by suitably rewording or reformulating the chosen problem, it can be made to meet the criteria of a good problem. This is also important to solve the problem successfully. To this end a researcher can ask a series of questions on the problem. Some are:

  1. Is the problem really interesting to him and to the scientific community?
  2. Is the problem significant to the present status of the topic?
  3. Is there sufficient supervision/guidance?
  4. Can the problem be solved in the required time frame?
  5. Are the necessary equipment, adequate library and computational facilities, etc. available?

If the answers to these questions are satisfactory, then the researcher can initiate work on the chosen problem. In addition, discuss the problem with the current doctoral students and obtain the scope of the problem and other related aspects.

How are these Questions Important and Relevant to a Researcher?

The researcher should be interested on the problem for the reasons mentioned earlier at the end of the Sec.(V A). The problem should also be interesting to the supervisor so that the researcher can get the necessary guidance from him. Otherwise sometimes the researcher may find it very difficult to convince the supervisor on the im­portance and significance of the results obtained. More importantly, the problem must be of interest to scien­tific community and society. If not then the researcher will find great difficulty to publish his findings in reputed journals and convince the funding agency.

Next, the status of the problem, particularly the im­portance of finding its solution should match with the current status of the field. But, if the problem investi­gated is of not much interest to science and society then publications will become useless to him in his research ca­reer. Specifically, they cannot help earn a post-doctoral fellowship, respectability and a permanent job in an in­stitution.

A researcher needs proper guidance and encourage­ment from the supervisor regularly. This is important for keeping the research in right track, to overcome the difficulties which come at various states of research and also to have moral support. A researcher should avoid working under the guidance of a supervisor having seri­ous health problems or family problems, committed his large time to administrative work and strong involvement in nonacademic matters.

Another important point is that before initiating re­search work on a problem, a rough estimate on costs and time required to complete the work must be made. A problem suitable for Ph.D. degree should not be taken for M.Phil. degree. A problem suitable for M.Phil. de­gree is not appropriate for Master’s degree. If the col­lection of data or resources or related information takes many years, then the topic is obviously inappropriate for Ph.D. degree. Controversial subjects should not be cho­sen. Problems that are too narrow or too vague should be avoided.

Finally, the researcher must make sure that the neces­sary experimental setup and materials to perform the ac­tual research work are available in the department where research work is to be carried out. Without these, if the researcher initiated the work and has gone through certain stages of work or spent one or two years in the problem then in order to complete the task he would be forced to buy the materials and instruments from his personal savings.


Literature survey

↑top
After defining a problem, the researcher has to do lit­erature survey connected with the problem. Literature survey is a collection of research publications, books and other documents related to the defined problem. It is very essential to know whether the defined problem has al­ready been solved, status of the problem, techniques that are useful to investigate the problem and other related details. One can survey

  1. the journals which publish abstracts of papers pub­lished in various journals,
  2. review articles related to the topic chosen,
  3. journals which publish research articles,
  4. advanced level books on the chosen topic,
  5. proceedings of conferences, workshops, etc.,
  6. reprint/preprint collections available with the su­pervisor and nearby experts working on the topic chosen and
  7. internet

A free e-print service provider for physics, mathematics, nonlinear science, computer science and biology is

http: //www.arXiv.org

No research shall be complete unless we make use of the knowledge available in books, journals and internet. Review of the literature in the area of research is a pre­liminary step before attempting to plan the study.

Literature survey helps us

  1. sharpen the problem, reformulate it or even leads to defining other closely related problems,
  2. get proper understanding of the problem chosen,
  3. acquire proper theoretical and practical knowledge to investigate the problem,
  4. show how the problem under study relates to the previous research studies and
  5. know whether the proposed problem had already been solved.

Through survey one can collect relevant information about the problem. Clarity of ideas can be acquired through study of literature.

Apart from literature directly connected with the prob­lem, the literature that is connected with similar prob­lems is also useful. It helps formulate the problem in a clear-cut way. A review on past work helps us know the outcome of those investigations where similar problems were solved. It can help us design methodology for the present work. We can also explore the vital links with the various trends and phases in the chosen topic and famil­iarize with characteristic precepts, concepts and interpre­tations. Further, it can help us formulate a satisfactory structure of the research proposal.

Because a Ph.D. thesis or M.Phil. dissertation is a study in depth aiming contribution to knowledge, a care­ful check should be made to ensure that the proposed study has not previously been performed and reported. The earlier studies which are relevant to the problem cho­sen should be carefully studied. Ignorance of prior stud­ies may lead to a researcher duplicating a work already carried out by another researcher. A good library will be of great help to a researcher at this stage. One can visit nearby research institutions and avail the library facility. Review the latest research papers and Ph.D. theses to acquire recent trends.


phd30Reference Collection

↑top
As soon as the survey of available source begins, the preparation and collection of references preferably with annotations should be undertaken. The important source of reference collection is the journal called Current Con­tents. This comes once in a week. It is available in hard copy and also in floppy diskette. Almost all the universi­ties and institutions buy this document. It contains the table of content of research journals and magazines in various subjects. It provides title of articles, names of the authors, date of publication, volume number, start­ing page number of the articles and address of the author from whom one can get the reprint of the article. If the title of the article indicates that the paper is in the topic of one’s interest then he can take a copy of the article if the journal is available in the local library. Otherwise, he can get it from a document delivery service centre. For example, in India INFLIBNET provides this service through six institutions. For details visit the following web sites:

http://web.inflibnet.ac.in/index.isp

http://www.iisc.ernet.in/

http://www.jnu.ac.in/

One can obtain a research article on paying the charge fixed by the INFLIBNET provided the particular journal is available in it. Articles can also be purchased from the publishers on payment. Alternatively, reprint of the arti­cle can be had from the author by sending a letter/card to the author. A format of reprint request card is shown below.


Front Side

Place:

Date :

Dear Dr./Prof.

I would appreciate in receiving a reprint of your following article and other related preprints/reprints, if any.

Title :

Journal name :

Volume number:                     Page(s):                       Year:

With kind regards,

Yours sincerely,

Reverse Side

Sender’s Address

To


The references from current contents or from journals can be noted on a separate card or sheet with the names of authors and the title of the paper/book, etc. For a research paper, its title, journal name, volume number, starting and ending pages of it and year of publication should be noted. For a book, publisher’s name, place of publication and year of publication must be written down. Instead of cards, nowadays one can store the de­tails of the references in computers and have a copy in two or three floppy diskette. The references can be clas­sified. For example, sources dealing with theory, dealing with experimental techniques, concerned with numerical methods, etc. can be grouped separately. The copies of the research articles can also be classified and bounded. Cross references (that is research articles or books re­ferred or cited in a research report) should also be col­lected and classified. These also provide useful informa­tion.


phd30 Assessing The Current Status

↑top
Generally, it is not difficult to know the current status of research work in a specific topic. The current sta­tus of the chosen topic can be identified by reading the relevant journals and the recent papers, discussions in conferences, seminars and workshops. One can perform inquiries at several important places known for research on proposed topic.

A study of the current literature in the chosen topic ex­plores the current status of it. More importantly, review articles point out not only to the basic aspects and fea­tures of the topic concerned but also give a brief account of its present status. For this purpose, one can survey the journals (for a topic in physics) such as Physics Reports, Reviews of Modern Physics, Physical Review Letters, Re­view section of American Journal of Physics, Pramana, Current Science and Proceedings of recently conducted seminars and conferences, etc.

Rapid communication and Letter sections of interna­tional journals publish articles which are very important and fall in recent trends category. There are several areas in internet where the papers just submitted to journals are placed. One can download such articles free of cost. These articles indicate the recent trends in a particular topic. Some relevant web sites are listed below.

http://arxiv.org/

http://www.ams.org/global-preprints/

http://front.math.ucdavis.edu/math.AG/

http://www.ma.utexas.edu/mp−arc/

http://www.clifford.org/anonftp/clf-alg/


Hypothesis

↑top
Researchers do not carry out work without any aim or expectation. Research is not of doing something and presenting what is done. Every research problem is un­dertaken aiming at certain outcomes. That is, before starting actual work such as performing an experiment or theoretical calculation or numerical analysis, we ex­pect certain outcomes from the study. The expectations form the hypothesis. Hypotheses are scientifically reason­able predictions. They are often stated in terms of if-then sentences in certain logical forms. A hypothesis should provide what we expect to find in the chosen research problem. In other words, the expected or proposed solu­tions based on available data and tentative explanations constitute the hypothesis.

Hypothesizing is done only after survey of relevant lit­erature and learning the present status of the field of research. It can be formulated based on previous re­search and observation. To formulate a hypothesis the researcher should acquire enough knowledge in the topic of research and a reasonably deep insight about the prob­lem. In formulating a hypothesis construct operational definitions of variables in the research problem. Hypoth­esis is due to an intelligent guess or for inspiration which is to be tested in the research work rigorously through appropriate methodology. Testing of hypothesis leads to explanation of the associated phenomenon or event.

What are the criteria of a good hypothesis?

 Any hypothesis should have conceptual clarity and a theoretical orientation. Further, it should be testable. It should be stated in a suitable way so that it can be tested by investigation. A hypothesis made initially may become incorrect when the data obtained are analyzed. In this case it has to be revised. It is important to state the hypothesis of a research problem in a research report. We note that if a hypothesis withstands the experiments and provides the required facts to make it acceptable, not only to the researchers performing the experiments but to others doing other experiments then when sufficiently reinforced by continual verification the hypothesis may become a theory [4].


phd30Mode of Approach

↑top
Mode of approach means the manner in which research is to be carried out. It should keep the researcher on the right track and make him complete the planned work suc­cessfully . One should sharpen the thinking and focus attention on the more important aspects of the study. The scientific thinking must be more formal, strict, em­pirical and specific and more over goal oriented. In or­der to make steady progress in research and to asses the progress of the research work, a research design is very helpful.

Research Design

For a scientific research one has to prepare a research design. It should indicate the various approaches to be used in solving the research problem, sources and infor­mation related to the problem and, time frame and the cost budget. Essentially, the research design creates the foundation of the entire research work. The design will help perform the chosen task easily and in a systematic way. Once the research design is completed the actual work can be initiated. The first step in the actual work is to learn the facts pertaining to the problem. Particularly, theoretical methods, numerical techniques, experimental techniques and other relevant data and tools necessary for the present study have to be collected and learnt.

It is not necessary that every theory, technique and information in the topic of research is useful for a partic­ular problem. A researcher has to identify and select materials which are useful to the present work. Fur­ther, the validity and utility of the information gathered should be tested before using them. Scientific research is based on certain mathematical, numerical and experi­mental methods. These sources have to be properly stud­ied and judged before applying them to the problem of interest.

What are the Possible Approaches  to be Followed by a Researcher?

A researcher can exercise the following aspects regu­larly throughout the research carrier. These will keep him in right track and tightly bind him to the research activity.

  • Discussion with the supervisor, experts and col­leagues about the research work, particularly, the problem and its origin, objectives and difficulties faced in the execution of the problem.
  • Reading of the latest research papers, relevant theo­ries and possible application to the present problem and to overcome the difficulties faced.
  • Review of the work reported on the similar prob­lems.
  • Theoretical calculations, setting-up of an exper­imental setup, numerical calculations, computer programs, preparation of graphs, tables and other relevant work related to the research should be done by a new researcher by himself without assistance from others.
  • Have a practice of periodically writing the work done, results obtained and steps followed in a work. This is important because sometime we may think that a particular aspect will be a center piece of the problem under investigation. But once we make a write-up of it, this aspect or part of it may turn out to be only of marginal importance. In fact, writ­ing of the progress of the work will help us better understand our work and forms a solid basis for further progress. It also points out to the gaps in our work.
  • Participation and presentation of research findings in national and international meetings.

These regular practices provide useful information like new ideas and can help the researcher

  1. sharpen and focus attention,
  2. confining to the formulation and
  3. in the interpretation of the solution obtained.

Each and every bit of task related to the research work has to be done by the researcher. A young researcher should not do the entire work in collaboration with oth­ers. The researcher is advised to perform all the works starting from identification of the problem to report preparation by himself under the guidance of supervisor. Particularly, collaboration work with experts and senior researcher may be avoided. (However, he can discuss his problems with them). This is important to acquire

  1. enough knowledge,
  2. confidence and
  3. training

to carry out research independently after getting Ph.D. degree. Part of the dissertation should demonstrate the researcher’s originality. The dissertation should reflect the efforts of a single researcher. Keeping this in mind one should avoid collaboration as far as possible in the young stage.

Prof.Balaram wrote “There are guides who have no interest in their discipline and leave their wards to their own devices. Surprisingly, it is these guides who produce some of the most resilient scientists, self-taught men and women, who develop great confidence in their abilities” [Current Science 87(2004)1319].

A researcher should provide new information to the supervisor and avoid getting information from the su­pervisor. He should learn and collect many information related to his work. He should definitely avoid embar­rassing the supervisor and senior researchers by asking doubts often. A good supervisor or a senior researcher does not provide answers to your questions but gives ap­propriate directions to clarify your doubts.

During the course of research, one should focus the mind mainly on the research work. Don’t allow the personal life to interfere with research. Diversions to other activities should be avoided. Further, after work­ing about say three years and when the time has came to consolidate the work done so far a researcher should not start to work on an entirely new topic. He can com­plete his thesis work and then work on new topic of his interest. The woman Nobel Laureaute Maria Goeppert Mayer said, “If you love science, all you really want is to keep on working.”

A researcher must be clear in his thoughts. He should know what he has to find out. In order to perform the work successfully the researcher should acquire proper training in the techniques of research. The training equips the researcher with the requirements of the task. Further, he should be clear about his task and possess intellectual insight. Then only he is able to find out the facts that would help him in his task. Make your research a part of your every day life. Think about your research work in background mode, ideas will come out even when you are seeing a movie, traveling to a place, sight-seeing and shopping. Ted Gottfried the author of biography of Fermi said, “Scientific research is like sports. To score, the focus of the scientist must be narrow and intense to the exclusion of everything else around him. The bat­ter never takes his eye off the ball, the hoopster shuts out everything but the court, the golfer always follows through-and the scientist focuses his complete attention on the task at hand and nothing else.”

A young researcher should also have persistence, toler­ance and self-control over the unpleasant outcomes such as not getting an expected result, not recognized by the supervisor and rejection of a research article from a jour­nal. “Don’t get dejected when your paper is rejected” — Prof.P.R. Subramanian. Some times one may complete a piece of work within a week which he might have expected to finish it in a month time. On the other hand, at some times one may get stuck with a particular part of the work and unable to make a substantial progress, say, in three months. Avoid feeling remorseful at these circum­stances and maintain a high tolerance for poor results. Remember that failure and wasted works are also part of the research career. Young researchers should create good relationship with their seniors and colleagues.

Getting Joy in Doing Research

↑top
To get a deep insight on the topic or the research prob­lem a suggestion from Dr K.P.N. Murthy is that one should enjoy doing research and approach it as an en­tertainment and a mode of getting happiness. In the re­search career one should treat doing research as a way of life and not just a job. In order to achieve a goal in the research one has to work harder. The harder one works the happier one feels. One need not try to conquer the world of science. One has to come in order to work and to find his way. Initially one must work hard. Getting insise a research topic or a research career is like a push­ing a door. It is hard to push the door open. But when one understand it it is ver interesting and joyful.

Chandrasekhar pointed out that in the arts and liter­ature quality of work improves with age and experience while in science generally it does not. He felt that it is because of doing science in isolation, very narrow focus on immediate goals and insufficient broad in interests and pursuits. In order to continue research even at old age one should develop the spirit of experiencing the beauty of science. The spirit of experiencing it is not restricted to only the great scientists. Chandrasekhar said, “This is no more than the joys of creativity are restricted to a for­tunate few. They are instead accessible to each one of us provided we are attuned to the perspective of strangeness in the proportion and conformity of the parts of one an­other and to the whole. And there is satisfaction also be gained from harmoniously organizing the domain of the science with order, pattern and coherence.”

Professor G.Baskaran stressed that group discussion is indeed an important component of doing research partic­ularly in small and isolated institutions. He said, “One cannot explain the power and usefulness of group discus­sions – it has to be experienced. When I was a student at the Indian Institute of Science (I.I.Sc.), Bangalore, a few of us students of physics from I.I.Sc. and National Aeronautic Laboratory were introduced to this joyous experience by S.K.Rangarajan, formerly a Professor of chemistry, in whose house we assembled virtually every evening to discuss such grave issues as amorphous solids and renormalization group. Each one of the discussants has made a mark” (Current Science, 75(1998)pp.1262).

For a discussion on emotional factors see, for example, ref.[5].

Crucial Stage of Ph.D

The crucial period for a research scholar doing full-time Ph.D. is the last year of the programme. During this pe­riod one should concentrate on completing the final work for his thesis and writing of various chapters. Generally, a research fellowship is for fixed period of time, it might have ended before the final year of the Ph.D. programme. We have noticed many scholars converted the full-time programme into part-time and joined in a job. If the job is a permanent one then one can join in the job and con­tinue the research. But joining in a temporary position may highly change his research career. This would delay the submission of his Ph.D. thesis and he may loose the interest in research. There are examples with students capable of getting a post doctoral fellowship but failed to even continuing the research. Therefore, a research scholar should have a clear plan of what he has to do in the next few years or so. Even if the fellowship is not available at the finishing stage of Ph.D. thesis we have friends and our well wishers to give financial support to some extend.


phd30Actual Investigation

↑top
One should aim at doing good research. What is good research? Which universities and research institutions in your country do the best research? How do you distin­guish the great from a good, a black hole from an or­dinary hole, a superconductor from a normal conductor, supernova from mere stars, poles from ordinary points, linear differential equations from nonlinear ones?

To distinguish one from another we can use various quantities. Like wise, to identify the best from among the available, one can use various quantities to measure the quality of them. For example, to identify a best research the quality of the one’s research publications, number of citations of his publications, projects completed, books published, contribution made to the science and society, etc. can be considered.

Research work

  1. published in reputed international journals,
  2. cited by other researchers working in the same or similar topic and
  3. which added new information to the existing knowl­edge on a topic are generally considered as good.

At the beginning of research career a young researcher should aim to produce a good research, particularly, his research findings should distinguish him from other re­searchers and keep him one among the top young re­searchers in the nation. In order to encourage young researchers and motivate them to produce high quality of research work awards are given yearly by certain aca­demic and research bodies in each country. For exam­ple, in India, Indian President Award, Indian National Science Academy (INSA) Young Scientist Award and many other awards are given every year. Some Confer­ence/Seminar organizers also provide best papers award to young scientists.

What are the Points to be Kept in Mind in Order to do a Good Research?

Actual investigation should lead to original contribu­tion and not involve objectionable duplication. Original­ity is the basic credit point of any research. Therefore, actual investigation must be directed towards obtaining novel results. A researcher should develop new ideas and obtain deep insight into the problem in order to get novel and new results which are the characteristics of a good research.

Trivial analysis should not be performed. Recently in­troduced theories, experimental techniques and numeri­cal algorithms have to be used instead of outdated meth­ods. Before applying any method, the researcher should familiarize with the features of the method. It it not worthwhile to continue in a particular direction if the re­sults are trivial and less informative. If similar problems have already been done, for instance about ten years ago, then a researcher should not consider it as important but could treat it as a useful exercise.

We do research by conceiving information and open­ings from important research papers published by other researchers in the topic of interest and continue in our own directions. The work of some other researchers might have formed the basis of our research. Similarly, our research outcomes should help other researchers. That is, the work should be such that it should invite others to read and more importantly use it and cite it in their research work. Our work should lead to recognition and respect. It should fetch joy and benefits others and as well as us.

As pointed out by Professor M.Lakshmanan, generally, each and every work of us may not produce novelty, but if we work towards novelty then definitely in the course of research there would come a fascinating and exciting breakthrough.

The researcher must remember that ideally in the course of a research study, there should be constant inter­action between initial hypothesis, observation and theo­retical concepts. It is exactly in this area of interaction between theoretical orientation and observation that op­portunities for originality and creativity lie.

Actual work finally leads to results and conclusions of the research undertaken. For proper results it is neces­sary that various steps of the work should be scientifically taken and should not have any flaw. Developed computer algorithms must be tested for the problems for which re­sults are already available. The work should be free from mistakes. Important analysis must be repeated in order to make sure that they are free from human mistakes. Professor Devanathan suggests that a researcher should check, recheck, cross check, … all the results before sub­mitting a research paper to a journal. Before beginning to write a part of the work done and the results obtained check and recheck the data and the results by repeat­ing the experiment, rerunning the programs and going through the theoretical derivations and arguments.

When analysing the data, appropriate statistical tools have to be employed. The number of data used, units of the data, error bars and other necessary details must be noted in the graphs. As many statistical tools as pos­sible should be used. Appropriate curve fitting can be done. Necessary interpretations on the results of statis­tical analysis have to be made.

In the case of development or modification of a theory and proposal of a new method the assumptions made, basic idea, and calculations should be clearly stated and analyzed. Various special cases of the theory or method must be identified. The validity, efficiency and applica­bility of it must be demonstrated with examples. Merits and demerits have to be identified. Comparison of the proposed method with the already existing and widely used similar methods should be performed.

In any experimental work, mere measurement of cer­tain quantities is not enough. The interpretation of the kind of data observed and explanation for the particular pattern must be made. On the basis of interpretation general principles underlying the process can be formu­lated. One has to check whether the generalizations are universal and true under different conditions.

Some common errors made in research are [6]

  1. Selective observation
  2. Inaccurate observation
  3. Over-generalization
  4. Made-up information
  5. Ex post facto hypothesizing
  6. Illogical reasoning
  7. Ego involvement in understanding
  8. Premature closure of inquiry
  9. Mystification

For a very interesting discussion on the above aspects with examples refer to the ref. [6]


phd30Results And Conclusion

↑top
The next step after performing the actual research work on the chosen problem is preparation of results and conclusion of the performed work. Predictions, results and conclusion are ultimate goals of the research per­formed.

There are two indispensable rules of modern research. The freedom of creative imagination necessarily sub­jected to rigorous experimentation. In the beginning any experimental research on a specific subject, imagination should give wings to the thought. At the time of conclud­ing and interpreting the facts that were collected observa­tion, the imagination should be dominated and prevailed over by concrete results of experiments.

Proper interpretations of the results must be made. In­terpretation refers to the task of drawing inferences from the actual research work. It also means drawing of con­clusion. Conclusion is based on the study performed. It would bring out relations and processes that underlie the findings. The utility of the outcome of the research greatly lie on proper interpretations and is the hardest part of solving a scientific problem. Interpretation of re­sults is important because it

  1. links the present work to the previous,
  2. leads to identification of future problems,
  3. opens new avenues of intellectual adventure and stimulates the quest for more knowledge,
  4. makes others understand the significance of the re­search findings and
  5. often suggests a possible experimental verification.

The basic rule in preparing results and conclusion is to give all the evidences relevant to the research problem and its solution. A bare statement of the findings are not enough. Their implications must be pointed out. Discuss your answers to the following questions with experts:

  1. Are the supporting evidences sufficient?, and if not, What to do?
  2. How many pieces of evidence are required? Instead of producing all, is it possible to restrict to one or two pieces of evidence? If so, what are they? and
  3. Why are they sufficient?

and so on. Such directions can help us minimize work and the quantity of presentation of the report. Do not rely on a bogus evidence which would increase the chances of errors. The investigator has to give suggestions. These should be practical and based on logic, reasoning and fact. The suggestions should be such that they can be actually implemented.

The researcher should not be in hurry while preparing the results and conclusion. After preparing them the researcher may ask the following questions:

  1. Are the quantitative and qualitative analysis per­formed adequate for the conclusion drawn?
  2. Are the results and conclusion general?
  3. Are the results and conclusion valid only for the particular situation considered in the present work?
  4. Is the conclusion too broad considering the analysis performed?
  5. Is any evidence which weaken the conclusion omit­ted?

The results and conclusion prepared can be revised based on the answers to the above questions.

Each and every statement made in the results and con­clusion sections must be based on evidence obtained from theoretical or experimental analysis. Baseless statements should never be made.

Assignment:

  • For each of the following topics write at least two questions, the answers to which must be available in the respective topics. For example, for the topic, “introduction”, a relevant question is ‘why am I doing it?’.
  • Introduction, (ii) Review of a research topic,
  • Methodology, (iv) Research design, (v) Re­sults, (vi) Discussion and (vii) Conclusion

phd30Presenting A Scientific Seminar-Oral Report

↑top

  What is an Oral Report? What are the Importance of an Oral Report?

Presentation of one’s research work in a scientific meet­ing is an oral report. Scientific meetings include con­ference, seminar, symposium, workshop, departmental weekly seminar, etc.

Researchers in certain research institutions not only discuss their own work but also have discussions on very recently reported work of other scientists.

An oral report provides a bridge between the researcher and audience and offers greater scope to the researcher for explaining the actual work performed, its outcome and significance. It also leads to a better understand­ing of the findings and their implications. In an oral report, the researcher can present the results and inter­pretations which are not clearly understood by him and may request the experts in the audience to give their opinions and suggestions. Oral reporting at a conference or a seminar requires more elaborate preparation than the written report.

A Nobel prize winner Paul Dirac said, “A person first gets a new idea and he wonders very much whether this idea will be right or wrong. He is very anxious about it, and any feature in the new idea which differs from the old established ideas is a source of anxiety to him. Whereas some one else who hears about this work and talks it up doesn’t have this anxiety, an anxiety to preserve the cor­rectness of the basic idea at all costs, and without having this anxiety he is not so disturbed by the contradiction and is able to face up to it and see what it really means. ”

  1. Points to be Remembered in Preparing an Oral Report

Before starting the preparation of an oral report, an outline can be drawn based on the time duration of the report and the quality of the audience. Departmental seminar is usually 45 minutes duration. In other meet­ings time duration is fixed by the organizer based on the number of days of the meeting, number of speakers and the status of a speaker.

For a long time report, that is, 45-60 minute presen­tation, one may have enough time to

  1. introduce the topic,
  2. discuss the definition of the problem,
  3. describe the method and technique employed,
  4. give technical details, and
  5. present results and conclusion.

Consequently, these aspects can be prepared in detail.

For a 15-30 minute, oral presentation one cannot find enough time to discuss complete details of the work. In this case less informative material must be dropped. Methods and techniques used can be presented very briefly without going into technical details. Much time should be reserved for results, conclusion and further di­rections.

Prepare a write-up of the oral presentation. It is a good and very helpful practice to write the talk before presenting it orally. Then evaluate the written material. Ask:

  1. Why should the audience listen to your presenta­tion?
  2. Is the presentation match with the standard of the audience?

Revise the presentation until you get convincing answer to the above two questions.

Oral presentation can be made effective and attractive by using modern visual devises, power-points, slides and transparency sheets. Title of the report, author’s name, plan of the presentation, very important content of it and conclusion can be printed in the slides or sheets possibly point by point with bold and sufficiently large size let­ters. Important formulas, equations, tables, figures and photographs can be prepared using transparency sheets or slides. Slides and transparency sheets should not con­tain running matters. Researcher should not simply read the content in the sheets. That is, the descriptive por­tion of the report should not be prepared on the sheets. An abstract or a short write-up of the presentation may be circulated to the participants of the meeting. So­phisticated softwares developed for preparing the text on transparency sheets/slides are available in internet and can be freely downloaded. In order to make the presen­tation, more lively, the researcher could use multimedia. Nowadays, the use of power-point of Microsoft Windows is common. It is an easy and compact utility software es­pecially for preparing classroom presentations. The fol­lowing are the web sites from which one could download the software at free of cost:

http://www.office.microsoft.com/downloads

http://www.lb.com/download-free-power-pointpresentation.org

One could use the audio aspects also to facilitate his presentation in a better way. While presenting the topic, the researcher should strictly follow the class room teach­ing methodology. For example, one should allow interac­tion; don’t restrict the vision of the audience of a partic­ular section, don’t forget to modulate the voice as and when required and don’t violate the time frame.

One or two rehearsals of the report in the presence of colleagues, supervisor and collaborators can be exercised in order to

  1. complete the presentation within the allotted time,
  2. improve the quality of presentation and
  3. maintain the fluency of the presentation.

During a long presentation, the speaker can stop the pre­sentation at various stages, seek comments and questions from the audience and then proceed. This will make the presentation attractive, interesting and also allow the au­dience to clarify their doubts so that they can follow the work.


phd30 Art of Writing a Research Paper and Thesis

↑top

What is a Research Report?

Research reporting is an oral or a written presenta­tion of important and useful aspects of the research work done. Scientific writing, a thesis or a paper, is intended to present clearly the purpose and outcome of a specific research investigation. It is the last but a major part of the research study. A report helps the researcher get feedback from other researchers and experts working in the same field. It also evaluates the success and original­ity of the researcher’s work. Without a report, a research study is incomplete and of no use. A report essentially conveys the outcome of a research work to interested per­sons. Brilliant work and most striking findings are of little value if they are not effectively communicated to the scientific world. As pointed out by Eli Maor, in aca­demic matters the iron rule is publish or perish. Some times delaying a publication of a result one would lose his claim.

What are Research Paper or Article and Ph.D Thesis or Dissertation?

A research paper is a report published in a journal or magazine or conference proceedings, etc. Whereas a Ph.D. dissertation is a report of the entire work done by a researcher to a university or an institution for the award of the degree of doctor of philosophy. A Ph.D. dissertation is a lengthy, original and substantial docu­ment. It should contain original contributions. Essen­tially, the role of a Ph.D. dissertation is to demonstrate the research person’s original thinking and contribution to the topic of research. It should also clearly point out the research competence of the researcher in his research field. M.Phil. dissertation is designed as a practice for Ph.D. thesis. It will help the researcher learn and un­derstand the present status of the topic and make him capable of working at the Ph.D. level. The work done for an M.Phil. dissertation need not be publishable in journals.

Why Should a Researcher Report his Findings?

Every research investigation is carried out with cer­tain objectives. The outcome of a research work may add new information to a theory or may have technolog­ical applications. Sometimes the researcher may not be aware of the theoretical development on practical appli­cations. His research results may be useful to another research problem. Some other researchers may be work­ing or planning to work on the same or similar type of research work. Several researchers doing same research work is a waste of time unless the solution of the problem is needed very urgently and is of great use. Repetition of a work should be avoided by the research community as much as possible. Unless a researcher reports his work to the world, the correctness, validity and originality of the work is under a question mark. The outcome of a research work will become known to the scientific com­munity only through publications. In view of these, it is important to report a work in an appropriate jour­nal or magazine and in scientific meetings like confer­ences, seminars and symposia. Identify possible publica­tions of your research findings after making a consider­able progress on a research problem. Don’t be confined with a mere Ph.D. degree.

 Characteristics of a Good Report

A good report results from slow, pain taking and ac­curate inductive work. To attract a reader, the reading matter of a report should be clear and interesting. It should not be obscure and dull. The write-up should be logical, clear and concise. The basic quality or charac­teristics of a good scientific report/paper and thesis are the following:

  • good presentation
  • good organization of various chapters/sections
  • accuracy
  • clarity
  • free from contradictions and confusion.

Further, a Ph.D. dissertation should be a formal and should have high level of scholarship.


phd30 Outline of a Report

↑top

What are the considerations to be kept in mind while preparing a report?

  1. First, an outline of a report has to be prepared.
  2. A sketch of what information to be conveyed must be made.
  3. Then, one can write down various topics, subtopics to be considered and what material to be presented in them.
  4. The sentences which are to be expanded, reworded and verified for its validity can be marked.

The outline of the report helps us concentrate on

  • what is to be presented,
  • logical relationships between different parts of the report,
  • smooth flow of the content and
  • continuity in the presentation.

The outline can be discussed with the guide, collabora­tors, colleagues and experts in local area. Based on their comments the structure of the report can be modified.

A three stage preparation of a report is generally done by researchers. They are

  1. First draft – Rough draft.
  2. Second draft – Rewriting and polishing of the rough draft.
  3. Third draft – Writing the final draft.

First Draft

In this stage a researcher can write

  1. what has been done in the research study,
  2. procedure, method, theory and technique applied,
  3. technical difficulties faced and how they are over­come,
  4. broad findings and
  5. concluding remarks.

Tables and charts can be typeset using computer and kept separately in order to avoid rewriting them. Con­clusion should be precise, clear and objective. Further directions may be pointed out.

Since a research paper is identified by its title it should be brief and not more than above 10-15 words. A sub­ject index of a paper is primarily based on the words in the title. Therefore, few key words which are helpful to classify the paper can be included appropriately in the title.

How does a reader decide whether to read the con­tent of a paper or not? Abstract serves the purpose. By reading the abstract a reader would decide whether the content of the paper is useful to him. Therefore, the abstract should have positive information about the con­tent of the paper and summary of the work reported in it. Further, if the abstract has final results and main conclusion of the paper then a reader who has a general interest in the subject can know the outcome of the paper without reading the entire text by referring the abstract itself.

Second Draft

This is the most important and difficult part of the writing. Extreme care must be taken in writing this draft. Unclear points, jargons, weakness of the report have to be identified and revised. Over-generalization of outcomes should be avoided. For example, Hermi- tian operators have real eigenvalues. Generalizing it as eigenvalues of operators are real or concluding that to have real eigenvalues, operators should be Hermitian are incorrect. Similarly, complex analytic functions satisfy Cauchy-Riemann conditions. It doest not mean that functions satisfying Cauchy-Riemann conditions should be analytic. How do you avoid over-generalization? For some details see, for example, ref.[5].

Attention must be paid to the arguments made, logi­cal flow of work presented, the quality of supporting evi­dences and conclusion drawn. Do these in each chapter. Don’t do the entire second stage at a single stretch. Give sufficient time between revisions of two consecutive chap­ters. During the break time think over the revision made in the previous chapter or section.

More importantly, grammar must be checked. A care­ful spell check must be made. Use simple words as far as possible. Indecisive words such as perhaps, somewhat, rather, etc. should be avoided. Usage of some particu­lar words repeatedly, for example, ‘very’, ‘extraordinary’, ‘invariably’ should be avoided. Expressions such as ‘it seems’, ‘there may be’, ‘since’, ‘putting’, etc. should be replaced by appropriate equivalent words.

Style, presentation and grammar can be improved by asking your friends, colleagues to read and give their crit­ical comments, suggestions and correct English grammar.

In some universities the report is first read by an En­glish teacher. He corrects the grammar and give sugges­tions. After this only a researcher can submit the thesis.

Complicated and lengthy sentences have to be rewrit­ten and broken. Similar sentences or sentences conveying same information must be eliminated. Check whether the words used clearly convey exactly the meaning intended.

  1. Chandrasekhar said, “I always sought to present my findings in as elegant, even literary, a form as possible. I select some writers in order to learn. For example, I read Henry James or Virginia Woolf, and I don’t simply read the text as a novel; I see how they construct sentences, how they construct paragraphs, how one paragraph goes into another and so on.” (J. Horgan, Current Science, 67 (1994) pp.500-01).

Proper references of related work should be included. Trivial matters and obvious conclusion should not be in­cluded and if there are such sentences then they should be dropped.

Third Draft

This is the last stage. In this stage, one can concen­trate on final touches and finishing. This should be in the direction of making the report weighty, authorita­tive, attractive and convincing. Similar words and for­mat should be avoided in successive sentences. Make sure that the script clearly shows the originality of the author and importance of the outcome of the study performed.

In all the three stages of report preparation one should follow a proper style of writing. Use clear and unadorned English appropriate for the readers. One has to be aware of to whom the research report is intended. The report is not for the supervisor. It is better to avoid the use of personal pronoun. Use of “I” and “the author” should be avoided. Some supervisors like to use “we”. For an inter­esting fun about the usage of “I” and “we” see p.106 of “Why are things the way they are?” by G. Venkataraman (University Press, Hyderabad, 1992).

Both active and passive voice should be used wherever necessary or appropriate. However, when using them one should check whether the meaning is strictly correct. For example, when writing “The experimental results agree with the theory” we must check whether we are strength­ening the experimental result or the theory. Care must be taken in using present and past tenses. Use past tense to describe the data collection and work done by others and you. For interpretation, assessments and discussions present tense is appropriate.

Between various stages it is advisable to give gap of few days so that one can leisurely think of the manuscript and record how to revise it. This will avoid unnecessary tension and half-hearted write up.


phd30 Layout of a Research Report, Thesis & Dissertation

↑top
The layout of a research report is the list of various parts of the report/thesis. Generally, a research report should consist of the following three components:

  • Preliminary pages
  • Main text
  • End matters

 A. Preliminary Pages

↑top
Preliminary pages include title of the report, acknowl­edgement, certificate page, list of publications and table of contents. Acknowledgements are written to thank those who have helped the researcher during their course of in­vestigation. For a book it is in the form of preface or for­ward. Acknowledgement should be brief, simple, modest and given only to substantial assistance provided by the guide, head of the department, staff of the department, agencies which provided financial support, collaborators and institutions where part of the work has been carried out. Acknowledgements made for routine participation by members of the researcher’s family, librarian, friends, clerical helpers and god are normally considered super­fluous. Acknowledgement should be made at the time of public viva-voce also. There is a chance for a researcher to forget to say acknowledgement at the end of the pre­sentation. To avoid this he may do it at the beginning of the presentation. An important point is to consider the tone to adopt so that you sound genuine.

Every research report should have an abstract. It is a necessary part of any scientific and nonscientific research report. In a research article it appears next to the au­thor’s name and affiliation. In the case of Ph.D. thesis, before its submission an elaborated abstract of the the­sis called synopsis has to be submitted to the institution where registration for Ph.D. degree is made. Abstract and synopsis convey the essence and brief details about the report. It should contain a very short statement of the problem, methodology and procedures adapted in the work and results of the study in a very condensed form. The abstract can act as a tool to control the flow of ideas in the thesis. It can help you link in a logical way the reasons for the research and aims of the work. It should contain answers to the questions: What was done in the project? Why is it of interest? How was it done? What were the outcomes of the work done? What is the signif­icance of the results? One should emphasize the original contribution in the abstract. The abstract of a Ph.D. thesis will be about three or four pages.

Table of contents gives title of the chapters, section headings, title of appendices and their page numbers. In the certificate page the researcher should undertake that the work reported has not been reported earlier by him or by any one else for the award of any degree. It should also mention that the work is done by the researcher and not copied from any other source.

All the preliminary pages should be numbered with lower-case roman numbers.

Main Text

The main text presents the details of the research work and results. This part of the thesis should provide the following, about the research work:

  • Introduction
  • Actual research work performed and the findings
  • Summary and conclusion.

Introduction

The purpose of the introduction is to give a brief out­line of the field of research. In this part one can bring clearly the importance of the field and the current status of it. It should contain an overview of the problem, its importance, statements about the hypothesis or specific questions to be explored. This is followed by a preview of the scheme of the following chapters, that is an out­line of plan of the work. Here, aim of each of the chap­ters and their contents can be briefly stated. Related and relevant work done by others must be pointed out. Various concepts and definitions of scientific and techni­cal terms necessary for understanding the research work undertaken are to be defined and explained. Details of statistical tools or quantities used in the study can be given in a separate chapter.

Irrelevant and less informative materials need not be presented. For example, regular and irregular behaviour of solution of a system or differential equation can be characterized by calculating the statistical tools such as Lyapunov exponents, correlation function, correlation di­mension, power spectrum, periodicity of the solution and probability distribution. If the power spectrum is not used in a research work then there is no need to discuss in detail the systematic way of calculating it. Similarly, suppose the effect of noise in a theoretical model equation is studied by including, say, Gaussian random numbers in the simulation. There are many methods available to generate Gaussian random numbers. If the Box-Muller method is used then it can be described. In this case de­scribing other methods, for example, rejection technique is redundant to the present thesis report. The theory and experimental set up used should be clearly described with proper references. Define the technical terms used in the dissertation either by a reference to a previously published definition or by a precise definition. Such a definition should be given only once in the report.

The introductory chapter(s) should be prepared in such a way that it should interest the reader in the sub­ject matter of research. It should not be aimless, confused and laking in precision. Introductory part may contain one or two chapters.

To be precise, the introductory part should cover the following aspects:

  • Features of the topic
  • Present status of the field
  • Some unsolved problems
  • Statement of the problem undertaken
  • Importance and justification of the present problem
  • Preview of the scheme of the following chapters and their interrelationship Definition of various scien­tific terms used, and
  • Methodology used.

Actual Research Work

This is the heart of the research report/thesis. The actual research work undertaken, difficulties faced, tech­nical details, results, conclusion and future direction form the main part of this portion. This part can be presented in a few chapters. Each chapter should contain introduc­tion, research work, results and conclusion. Materials should be organized systematically and presented under appropriate headings and subheadings. First, write the chapters that describe your actual research work. Af­ter this, prepare the conclusion and introduction parts. When writing the actual work collect the terms and note down the matter which are to be defined and described in the introduction.

As Professor P.R. Subramanian points out, for prepar­ing the Ph.D. thesis report one should not simply copy word by word from his research articles. Even if the con­tent of the thesis is the work reported in his research pub­lications, the student should reword the material without changing the meaning, give much more details, explana­tions, suggestions and possibly a better reorganization of the content.

Wherever possible, the results should be presented in the form of figures, illustrations and tables. They can make the report quite attractive. Tables should be as precise as possible. All the figures should clearly specify the variables of the axes, units used and other necessary information. Figure caption should not be a reproduc­tion of sentences of the text. It must clearly state what it is. Figures should be clearly explained in the text. Data should be fitted to an appropriate mathematical expres­sion. Nowadays, sophisticated softwares are available for curve fitting. After making a curve fit or plotting a set of data, proper explanation for observed variation of the data should be given. A set of data measurement without any analysis and discussion is of no use.

Extreme care must be taken in type setting mathemat­ical equations, variables and parameters involved in the study. Italic or Greek letters or mathematical symbols can be used for variables and parameters. For example, x or X should not be used as a variable name. The correct usage is x or X (or typeset in italics). All the equations should be centered and numbered. Vectors should be clearly specified by an arrow over the name or by bold face name. Equations should not be repeated.

Jokes or puns should not find a place in the re­port. Use “correct” or “incorrect” to refer to the results of others. Don’t use the words “bad”, “terrible” and “stupid”. Avoid use of “today”, “modern times”, “soon”, “seems”, “in terms of”, “based on”, “lots of”, “type of”, “something like”, “just about”, “number of”, “proba­bly”, “obviously”, “along with”, “you”, “I”, “hopefully” and “may”. There is no need to mention the circum­stances in which the results are obtained.

Assignment:

  • Reword/rephrase the following and give the reason for the change:
  1. Dinesh and Geethan [1] reported that …
  2. The following algorithm represents a major breakthrough
  3. Even though the above method is not earth- shaking
  4. Geethan and I obtained ….
  5. There is a method to calculate ….
  6. The program will use the data after it stored them to a CD …
  7. The method is started by calculating the value of S ….

 Conclusion

At the end of each of chapter, one can place a brief summary of the outcome of the work presented in that chapter under the heading conclusion. They should be clear and precise.

The relevant questions which are still not answered and new questions raised by the work of the present chapter have to be mentioned. Whether the answers to the ques­tions are obtained or not, if obtained in which chapter(s) they are presented should be specified. Mention possible future research. It is important to make a connection be­tween two consecutive chapters either at the end of the first or at the beginning of the second.

Chapters should not look like reports of isolated work. There should be a link between consecutive chapters and the link should be clearly brought out.

End Matters

↑top
The end part of the report generally consists of refer­ences, appendices, computer programs (if they are not easy to develop) and copies of research publications that came out from the research work done.

Appendices

Appendices are supplementary contents which are not placed in the main report in order to keep the continuity of the discussion; however, they are relevant for under­standing the particular part of the report. An appendix may present

  • a brief summary of a theory or a numerical method used which can be found elsewhere,
  • a lengthy mathematical derivation or a large set of equations,
  • technical details and
  • a list of values of constants and parameters used in the work.

Appendices can be placed at the end of report after ref­erences. They should be numbered by capital alphabets.

References/Bibliography

References or bibliographies are sources consulted. Each reference should contain name(s) of author(s), title of the paper, journal name, volume number of the issue in which the article appeared, starting page number, end page number and year of publication. In the case of a book source its author(s), title, publishers’s name, place of publication, year of publication and edition should be given. Some examples are given below.

  1. Suppose the reference is the paper of K. Murali, Sudeshna Sinha and W.L. Ditto with title “Imple­mentation of NOR gate by a chaotic Chua’s circuit” appeared in the journal called ‘International Jour­nal of Bifurcations and Chaos’ in the year 2003, the volume number of corresponding issue is 13 and the starting and ending page numbers of the article are 2669 and 2672 respectively. The above article can be specified as (without mentioning the title of the article)
    Murali, Sudeshna Sinha and W.L. Ditto, Int. J Bifur. and Chaos 13 (2003) 2669-2672.
  2. For an article which appeared in a conference pro­ceedings a typical format is given below:
    Harish and K.P.N. Murthy, “Intermittency and multifractality in iterated function systems”. In: Nonlinear Systems. Eds. R. Sahadevan and M. Lakshmanan (Narosa, New Delhi, 2002) pp. 361-371.
    In the above “Intermittency  ” is the title of the report of R. Harish and K.P.N. Murthy. “Nonlin­ear Systems” is the title of the conference proceed­ings edited by R. Sahadevan and M. Lakshmanan.
    The proceeding was published in the year 2002 by Narosa Publishing House, New Delhi. In the pro­ceedings the article appears from the page 361 to page 371.
  3. A book can be noted down as, for example
    Kapitaniak, “Controlling Chaos” (Academic Press, San Diego, 1996).
  4. A Ph.D. thesis can be referred as shown below:
    Parthasarathy, “On the analytic structure and chaotic dynamics of certain damped driven non­linear oscillators”. Ph.D. thesis. (Bharathidasan University, 1993, Unpublished).
  5. For an unpublished manuscript downloaded from internet one can note down the web site where it is available (see for example the references 5 and 6 of the references section of this manuscript).

References can be either in alphabetical order according to author’s name or the order in which they are referred in the report. Make sure that each reference cited in the text is correctly entered into the list of references. Repetition of references in the list should be avoided.


phd30Typing the Report

↑top
Typing should conform to the set of requirements of the institution. The thesis should be double line spaced and not more than 25 lines per page. It may be typed on both sides. Chapter heading must be in large size with bold face. Each paragraph should be right margin aligned. Important terms when used first time can be in italic letters and bold face. First word of a sentence should not be an abbreviation. Latest softwares such as LATEX or WORD can be used for thesis, dissertation and report preparation. One could download the soft­ware LATEX a free of cost from the web sites:

If a report is prepared keeping all the above precau­tions in mind, there is every likelihood of it becoming useful for proper study. Such report enables the reader to comprehend the data and to determine for himself the validity of the conclusion.

Before or immediately after submitting hard copies of the Ph.D. dissertation to a university, show it to your colleagues, teachers, scientists of your department, your parents and friends.


 A Short interview with three eminent scientists.

Interview with Professor V. Devanathan

What are the requirements for a successful research career?

Prof. V. Devanathan : Motivation and innate interest in the topic of his research pursuit are the requirements for a successful research career. If a person takes the research not by compulsion but by his own choice, then he will not feel it as a burden but pursue it as a hobby. “Science is at its best when it is a part of a way of life” – this is the inscription that is found on the foundation stone of Institute of Mathematical Sciences, Chennai and truly describes the correct aptitude for a successful research career.

Is it possible for an average student to come up with novel results in a research problem? If so, what kind of approach he should follow?

Prof. V. Devanathan : Usually, the assessment of a stu­dent as good, average or bad is based on his performance in the examinations. There are some who are good in examinations with a good memory for reproduction but lack in deeper understanding of the subject and original­ity in approach. There are some who are not so good in examinations but show originality in thinking and follow unconventional or novel approach to the subject. There are a few who are good both in examinations and re­search. So, an average student with an ability of average performance in the examinations, need not feel different if he has originality in thinking and self-confidence.

During a research career, a young researcher may come across disappointing moments like not getting expected results, rejection of a research article from a journal, etc. What kind of mode of approach a researcher should have to face such situations?

Prof. V. Devanathan : “Success begets success and fail­ure begets failure.” Success and failure are like two sides of a coin and one is bound to face them alternatively in the course of one’s research career. Elation at the time of success and depression at the time of failure are usually mitigated if one works in collaboration with others. At the time of depression, the co-workers come to the rescue and prop up the sagging spirit.

In our manuscript we have mentioned the following: Each and every bit of work has to be done by the re­searcher. A young researcher should not do the entire work in collaboration with others. The researcher is ad­vised to perform all the work starting from identification of the problem to report preparation by himself under the guidance of supervisor.

Please give your views on this point.

Prof. V. Devanathan :  At   the initial stages, the researcher gets the support of the research group in which he is working and he acquires the knowledge of the group effortlessly. The weekly informal seminars, if conducted within the group, will increase the pace of learning and help to clarify and crystallize the problems. This process of learning is made easier if the young researcher works in collaboration with others. This is true both for theoreti­cal and experimental work. At present, the experimental work is almost a team work and successful research group is one in which the group leader allots the specified work to individuals taking into account his ability and exper­tise.

Interview with Dr K.P.N. Murthy

The common belief is that research is laborious and painful. Many times you have mentioned:        “Doing re­search is an entertainment. ” Please, elaborate on this statement of yours.

Dr K.P.N. Murthy : Research not only constitute a dis­covery or creating a new paradise but also consist of ob­taining a personalized understanding of a phenomenon. The struggle that you go through for obtaining an insight into a phenomenon or getting a hold of a nuance and the extessy that you get when you get an understanding of a phenomenon or obtaining a new way of explaining of that phenomenon may be unmatched. This ecstasy is nothing to do with what yours creative have impact on science and society. However, it is the ecstasy of what Einstein got when he created special theory of relativity or Feynman when he created quantum electrodynamics or Raman when he found the so-called Raman lines. It is this makes the research an enterprise of joy. It is that makes a research an entertainment.

Is it necessary for a beginner of research to learn all the aspects of theoretical, experimental and numerical tech­niques involved in a topic before he take-up an actual research problem?

Dr K.P.N. Murthy : A certain basic knowledge about physics and mathematics is must for starting research. That is it. Several things you learn doing research. Igno­rance of even some of the basic elements is no hindrance for creativity. What is required for doing good research is an enthusiasm, a commitment and willingness to go back to basics and learn them right.

Before preparing the final write-up of your research work, you have the practice of discussing the salient features of your findings with a few other researchers. How are you benefited from this ?

Dr K.P.N. Murthy : After you have completed a piece of work I find it is a good practice to discuss with your colleagues the important findings that you have made. I have always realized that I got a better understanding of what I have done when I tried to explain to my colleagues about my work in a convincing way. The very act of speaking of what you have done removes the cob-webs in your understandings. I always make it to give a seminar on my work to a larger audience before submitting it to a journal for publication. I feel this is a very good and helpful practice.

“Enjoy doing research and approach it as an entertain­ment and a mode of getting happiness. ” This is your sug­gestion to young researchers. Please, brief it for the ben­efit of youngsters. In what way will this be helpful to a researcher?

Dr K.P.N. Murthy : In any human enterprise it is impor­tant that one likes what one does. The hard work that you have put in a problem does not tired you and rest be assured if you approach a research problem with joy and you will get a good result. Publication of that result and the acceptance that you get from your colleagues become secondary. The satisfaction that you obtained by doing a job well is a reward by itself. I would say that youngsters should have this attitude towards whatever they do.

Despite unavoidable tasks a woman of our country has, you have become one of the leading scientists in theo­retical physics. What are your advice and suggestions to young researchers particularly to young women re­searchers?

Dr Sudeshna Sinha : It is indeed somewhat harder for women to concentrate on career planning – especially when their children are young. One will have to accept that household tasks will always be there. The hard­est thing is not really the number of hours of work one can put in – but the quality of concentration one can achieve. Here discipline comes in. Since women will probably manage to get fewer hours of academic work done every day – they need to really plan the academic work they hope to achieve every single day. So it is most beneficial to discipline oneself into shutting off all daily chores from one’s mind for some hours every day. The point is to learn efficiency – and to appreciate that one does not have the benefit of unlimited time (as others will make justifiable demands on your time – like children).

Also women may find it hard to pursue academic work at certain points in their life – but they must preserve the self-confidence and will to return to academic after such times are over. They must realize that in 3-4 decades of working life – a few years is not a big deal. They should not think that a break in career is irreversible.

Publishing in reputed journals (like Physical Review Let­ters) is a dream or prestige for many physicists. What are the secret of yours for regular publications in reputed journals? What type of problems one has to take up for getting published in top-level journals?

Dr Sudeshna Sinha : With journals like Physical Review Letters one must remember two things: First, always try and make a case of the general interest of your results. The commonest grounds for rejection is lack of broad in­terest. This is very subjective of course, and being In­dian does not help. But still, at the outset, one should make an attractive statement of the general scope of one’s work (that is, try to answer this hypothetical question: Why should someone not doing research in this exact narrow sub-field be interested in reading my paper). Sec­ond point is persistence. Take all criticisms of the paper seriously (and don’t reply needlessly aggressively to the referees) and try to answer all the criticisms. Then re­submit, and don’t give up till the last round!

How could a beginner of research come up with novel results?

Dr Sudeshna Sinha : Well, I think coming up with novel results is not entirely in one’s hand. There is an element of good fortune here! If the guide of the young researcher can identify a problem that is technically easy to tackle – but whose results can be of considerable potential interest – then there is a good chance for the young researcher to get a novel result. But this is not in the hands of the young researcher, and most often not in the hands of the guide either (as it depends on the subject, timing etc.).

In this matter I always tell my students: whether you get a novel result tomorrow is a matter of luck, but in a career spanning several decades, if you work steadily and think deeply about the subject, it is almost assured that at some point or the other, you will get a good idea which will lead to a novel result!

To get a deep insight into the topic or problem of research, what are the ways a young researcher can follow?

Dr Sudeshna Sinha : One should not just passively read papers or books! One should try to work it all out in some detail. While reading passively one feels one has understood – but only when one is trying to solve some­thing does one gain any real understanding. In fact it is a great idea to look at the title and abstract of a paper, and then ask oneself how one would have attempted to work on such a problem and only then look at what the authors have done.


Assignment:

(1) List out at least 10 methods which you have learned in your UG and PG courses and write their purpose or application.

(3) Distinguish between research methods and research methodology with an example of your own choice.


Reference

Rajasekar, S., Philominathan, P., & Chinnathambi, V. (2006). Research methodology. arXiv preprint physics/0601009. Download the full PDF from this link

3 Comments
  1. Mie Mie Kyaw says

    Great!

  2. abdulla khamis ngwali says

    How to creates reseach topic for master degree level and what is the differences between reseach project and thesis

  3. Zaharaddeen Shehu says

    i want to write my thesis

Comments are closed.

Contents