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Computer representation and processing of knowledge on the example of theorems of mathematical models analogies

Computer representation and processing of knowledge on the example of theorems of mathematical models analogies

S.N. Vassilyev, N.Yu. Morozov

Memoirs of the Faculty of Physics 2016. N 3.

The paper is dedicated to logical means of knowledge representation and processing on computers. We consider the problems of automated theorems synthesis and proving for the class of theorems on mathematical models analogies.

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Invariants of differential equations and qualitative analysis of their solutions

Invariants of differential equations and qualitative analysis of their solutions

S.N. Vassilyev, A.G. Kushner

Memoirs of the Faculty of Physics 2016. N 3.

For the class of evolutionary systems of two nonlinear differential equations describing the nonlinear diffusion processes, heat and mass transfer, admissible transformations are constructed.

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Supercritical triangle for the system with Lennard–Jones interaction potential

Supercritical triangle for the system with Lennard–Jones interaction potential

P.N. Nikolaev

Memoirs of the Faculty of Physics 2016. N 3.

The position of the supercritical triangle is found for the system with Lennard-Jones interaction potential. The virial coefficients currently known and the accelerated method of convergence of the series of the perturbation theory for such system is used. The obtained results suggest that the method used makes it possible to determine with high accuracy the position of the three vertices of the supercritical triangle.

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The spin–electron acoustic waves and their role in explanation of high-temperature superconductivity

The spin–electron acoustic waves and their role in explanation of high-temperature superconductivity

P. Andreev

Memoirs of the Faculty of Physics 2016. N 3.

Spin–electron acoustic waves exist in the spin imbalanced electron gas. Quantum of these waves is called spelnons. The Coulomb exchange interaction decreases the area of their existence by the rather small spin polarization. It is demonstrated that the electronspelnon interaction forms the Cooper pairs of electrons. This mechanism of the Cooper pair formation leads to the high-temperature superconductivity in materials with the partially spin polarized carriers at high temperatures up to 300 K.

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Teaching of minimizing methods while doing research works in secondary school

Teaching of minimizing methods while doing research works in secondary school

E.A. Mikhailov

Memoirs of the Faculty of Physics 2016. N 3.

Minimizing methods for different functionals is widely used in physical problems. Modern computers let use them even the pupils of secondary school. We have described them the least square method. As an example we used a problem of approximation the resistance temperature dependence for the thermistors. The studied material was used for doing research works that were presented on different conferences and competitions.

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Rating educational groups at the faculty of Physics via computer–based tests

Rating educational groups at the faculty of Physics via computer–based tests

M.A. Terentyev

Memoirs of the Faculty of Physics 2016. N 3.

We consider how computer–based tests can be utilized to rate educational groups of students at the faculty of Physics at MSU and what information can be obtained from this.

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Modernization of physics demonstrations using new light sources

Modernization of physics demonstrations using new light sources

A.V. Seliverstov

Memoirs of the Faculty of Physics 2016. N 3.

The circumstances of demonstration equipment modernization had been formulated. The key features of light sources for demonstration experiments had been distinguished. Some illustrations of their modernization using up-to-date components are given.

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Study of interference by example of equal inclination rings

Study of interference by example of equal inclination rings

S. B. Ryzhikov, Yu.V. Ryzhikova

Memoirs of the Faculty of Physics 2016. N 3.

The technique of observing the interference rings of equal inclination with a laser and lenses of glasses is suggested. The calculations of the size of the rings depending on the lens parameters are given. This experiment can be used as a lecture demonstration at the school and in high school, for laboratory work as well as students research work.

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The laws of mechanics: from Aristotle to Newton

The laws of mechanics: from Aristotle to Newton

P. N. Nikolaev

Memoirs of the Faculty of Physics 2016. N 3.

The history of the basic concepts of mechanics and establishment its laws is investigated. A causal link of this process has been noted.

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From computer testing to computer teaching

From computer testing to computer teaching

V. Yu. Ivanov, I.B. Ivanova (Polyakova)

Memoirs of the Faculty of Physics 2016. N 3.

An example of the interactive teaching test is presented. As a task in investigation we consider the classic kinematic problem — the problem of body moving at an angle to the horizon in the gravity field. The structure of the teaching test is suggested

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