- •Find a formula of the exponential growth of the number of scientific problems appearing in harmonically developing society.
- •2. Find a formula for the period of doubling Tп of urgent scientific problems in limiting minimally developing society.
- •3. Find a formula for the average life time τ(t) of the old problem which is being solved from the time moment t0.
- •4. Find a relation between the doubling period Tп, life time τπ and the coefficient of problem reproduction g.
- •5. Coefficient of problem reproduction “g” and main conclusions connected with it.
- •6. Goals and objective regularities of science development.
- •7. Objectives and criteria of importance of fundamental research.
- •General laws of science development.
- •Law of accelerated motion of science, law of accelerated rate: science develops by exponential law.
- •Law of distribution of the outstanding scientists among the men of science of different time.
- •11. Law of team spirit in science and collaboration of generations
- •12. Law of planning in the modern science.
- •13. Law of international character of science.
- •Law of exponential growth of scientific information.
- •Law of increase of repeated discoveries.
- •Law of increase of period of education for science occupation.
- •Law of particular specialization of men of science and differentiation of science.
- •18. Law of growth of national income of the state, expended for science.
- •19. Law of transformation of the modern science from descriptive methods
- •20. Law of historical depth of citations in scientific works
- •21. Law of interaction and interrelation of science.
- •22. Law of interpenetrating development in a system «Science (s) - Technique
- •23. Law of qualitative and quantitative change of productivity of work of scientists in dependence on their age
- •24. Law of increase of number of doctors and candidates of science
- •25. Law of preparation of scientific staff reserve
- •26. Law of age structure of scientific employers working in research institutes
- •27. Law of distribution of geniuses among the planet’s inhabitants
- •28. Law of influence on the process of knowledge of heretics in science
- •29. Optimal structure of science.
- •30. Horizontal scheme.
- •31. Vertical scheme – is an optimal organizational structure of the science of the 21st century.
- •32. Mechanism of realization of the vertical scheme and its functioning
- •33. International system of scientific publications
- •34. About the history of scientific publications
- •35. Peer-review procedure
- •36. Primary and secondary scientific publications
- •37. Author rights in the system of international scientific publications
- •38. Bibliometric (scientometric) indicators in the system of international scientific publications: index of scientific citation and impact-factor
- •39. Organization of the text of original article for journal
- •40. Peculiarities of style of scientific publications in English
- •41. Название (Title)
- •Introduction
- •42. Materials and Methods
- •43. Choice of journal and manuscript submission
20. Law of historical depth of citations in scientific works
In a practical scientific work the probability of citations of predecessors is inversely proportional to the historic depth of publication of the scientific work. The modern practice of scientific research showed that on the historical depth of more than 15 years there is only 5% of literal sources which is practically being used in new scientific works. On the depth of 10-15 years – 20 %; the remainder 75% of the cited literal sources – for the nearest 5-10 years.
That is if your work was not cited for the nearest 5 years, then it is likely that your efforts are for nothing and scientists of the future epoch will have to get your results again. However there is a hope for that with an implementation of computer technologies such a tendency will be sharply changed. The computer databases and knowledge databases will allow the future scientists by a way of requests and selections by key words and key features the getting practically immediately on the screens all world literature from the ancient time. Wait and see.
21. Law of interaction and interrelation of science.
In the historical evolutionary development of science in dialectical unity there are processes of merger and delimiting of science; integration and differentiation – are eternal and natural regularities of science development. In accordance with the nature of things the science is unique, and its classification and differentiation are conventions introduced by a man for convenience and under his or her restricted abilities for perception and organization of information.
In accordance with this there are no principal objective prohibitions on interpenetration of science, their merger and differentiation. It is realized on a practice. Such factors as science mathematization, unity and universality of the fundamental physical interactions in nature which are turned out to be 4 and other contribute to such a process objectively.
22. Law of interpenetrating development in a system «Science (s) - Technique
The science plays a dominating role in development of society – after the scientific discovery the breakthrough in the level of engineering follow, and after that in the industry in a whole. The statistical data about synchronous development of science, engineering and industry show that all three big areas of human activity have the same tendencies – exponential growth in a complete correspondence with the law (3).
Moreover such a growth in three areas of activity of developed society have a correlated character. At this in the curve of growth of a separate area there can be observed step jumps in development, when the especial significant discoveries are introduced into industrial practice of society at once.
23. Law of qualitative and quantitative change of productivity of work of scientists in dependence on their age
In average the quantitative peak of scientific productivity of a scientist is 35 years, however the quality and importance of scientific work with age continuously increase. A function of productivity of a scientist in dependence on his or her age – is more intriguing, delicate and problematic theme. It is turned out that the peak of productivity of a scientist is in average 35 years with a following smooth slope. It is represented for us that the analysis of this function only for decisions about the part of participation of mature scientists in research work is wrong.
Usually in the science about science one refuses to consider in essence the question about importance of scientific works in dependence on age of scientists. And in such an incomplete scientific analysis the danger of wrong conclusions exist. For example, a conclusion about decrease of productivity of mature scientist. This is the root of all evil when a scientist in his or her prime and creative analysis is sent to be retired, depriving of the scientific youth of experienced mentor and generating in the same youth the uncertainty in future and selfishness bringing the science in conditions of its still increasing collectivization still the increasing harm.
The explanation is quite simple: experienced scientists with time stop to waste time for trifles and with more pleasure and excitement take up decision of complicated, fundamental, «everlasting» scientific problems. This objectively approaches the mankind to solution of such problems and provides with conditions for scientific breakthrough. Thus, one can safely say that from the point of view of the benefit of science and society as a whole it is unreasonable to send for retirement the mature scientists and take them away from creative collectives, and it is even a crime.
Thus, if one consider two functions in correlation: the function of dependence of the number of productivity of a scientist (as a rule, this is a number of papers published per year) and the function of the general-human importance of his or her works (which can be measured by a way of expert evaluation of approximation of problems under consideration to the world problems), then in many cases (of course, statistically) in connection with the exponential growth of the last function the total function, let’s call it «the function of benefit of scientist for the society» demonstrates undoubted tendency to a steady growth with increase of scientist age, who keeps his or her good physical form.
