Before talking about national science as a specific phenomenon we find out the essence of science as a phenomenon in general. We note that science is one of the most complex phenomena of social life. Complex understanding of it complicates the fact that science is structurally extremely complex, polyfunctional, historically variable, with many of its faces included in this or that sphere of social life. It therefore appears as an extremely diverse social phenomenon. This raises some difficulties in developing a (...) general definition of it. As G. Volkov correctly pointed out, "there is nothing simpler than giving a definition to any phenomenon, when the whole thing is only in the formulation, and there is nothing more complicated than when it comes to the concentration in the concentrated form of the very essence of the object under study". (shrink)

The aim of this article is to offer what I consider to be necessary substantiati for the view that the description of the walk which acts as a frame for the singing contest in Id. 7 is based on a precise knowledge of the geography of t island of Cos and that the poem thus displays a topographical realism unique Greek pastoral.

The usual representation of quantum algorithms is limited to the process of solving the problem. We extend it to the process of setting the problem. Bob, the problem setter, selects a problem-setting by the initial measurement. Alice, the problem solver, unitarily computes the corresponding solution and reads it by the final measurement. This simple extension creates a new perspective from which to see the quantum algorithm. First, it highlights the relevance of time-symmetric quantum mechanics to quantum computation: the problem-setting and (...) problem solution, in their quantum version, constitute pre- and post-selection, hence the process as a whole is bound to be affected by both boundary conditions. Second, it forces us to enter into relational quantum mechanics. There must be a representation of the quantum algorithm with respect to Bob, and another one with respect to Alice, from whom the outcome of the initial measurement, specifying the setting and thus the solution of the problem, must be concealed. Time-symmetrizing the quantum algorithm to take into account both boundary conditions leaves the representation to Bob unaltered. It shows that the representation to Alice is a sum over histories in each of which she remains shielded from the information coming to her from the initial measurement, not from that coming to her backwards in time from the final measurement. In retrospect, all is as if she knew in advance, before performing her problem-solving action, half of the information that specifies the solution of the problem she will read in the future and could use this information to reach the solution with fewer computation steps. This elucidates the quantum computational speedup in all the quantum algorithms examined. (shrink)

Outlines a method of solving mathematical problems for teachers and students based upon the four steps of understanding the problem, devising a plan, carrying out the plan, and checking the results.