Удовольствие и интерес к игре как основа подхода к проектированию детской игровой площадки

The article considers design of children’s playgrounds. The design traditions in modern architectural school are discussed, the problem of “the game” is identified and the term “pleasure” is focused. The conclusion is that we need a new approach to design children’s playgrounds in order to interest children in the age group from six to fifteen.В статье рассматривается проектирование детских игровых площадок. Обсуждаются традиции проектирования в современных архитектурных школах, ставится проблема «игры» и центральное внимание уделяется термину «удовольствие». В заключении делается вывод, что нужен новый подход к проектированию детских игровых площадок, для того чтобы заинтересовать детей возрастом от 6 до 15 лет

Parameter estimation in pair hidden Markov models

This paper deals with parameter estimation in pair hidden Markov models (pair-HMMs). We first provide a rigorous formalism for these models and discuss possible definitions of likelihoods. The model being biologically motivated, some restrictions with respect to the full parameter space naturally occur. Existence of two different Information divergence rates is established and divergence property (namely positivity at values different from the true one) is shown under additional assumptions. This yields consistency for the parameter in parametrization schemes for which the divergence property holds. Simulations illustrate different cases which are not covered by our results.Comment: corrected typo

Classification of conservation laws of compressible isentropic fluid flow in n>1 spatial dimensions

For the Euler equations governing compressible isentropic fluid flow with a barotropic equation of state (where pressure is a function only of the density), local conservation laws in $n>1$ spatial dimensions are fully classified in two primary cases of physical and analytical interest: (1) kinematic conserved densities that depend only on the fluid density and velocity, in addition to the time and space coordinates; (2) vorticity conserved densities that have an essential dependence on the curl of the fluid velocity. A main result of the classification in the kinematic case is that the only equation of state found to be distinguished by admitting extra $n$-dimensional conserved integrals, apart from mass, momentum, energy, angular momentum and Galilean momentum (which are admitted for all equations of state), is the well-known polytropic equation of state with dimension-dependent exponent $\gamma=1+2/n$. In the vorticity case, no distinguished equations of state are found to arise, and here the main result of the classification is that, in all even dimensions $n\geq 2$, a generalized version of Kelvin's two-dimensional circulation theorem is obtained for a general equation of state.Comment: 24 pages; published version with misprints correcte

The features of compositional form in ordinary averaged architecture

The article deals with the features of composition in architectural design for most of cases. On the basis of well known parameters of form there is conducted a comparison with different kinds of visual Arts. There is established that at present time ordinary averaged architecture has definite natural restrictions in form and placement. A value and colour are the elements which have more possibilities for the real architectural practice. They are relatively cheap in comparison to form and placement. © 2019 Published under licence by IOP Publishing Ltd

A tree of linearisable second-order evolution equations by generalised hodograph transformations

We present a list of (1+1)-dimensional second-order evolution equations all connected via a proposed generalised hodograph transformation, resulting in a tree of equations transformable to the linear second-order autonomous evolution equation. The list includes autonomous and nonautonomous equations.Comment: arXiv version is already officia

Approximate nonlinear self-adjointness and approximate conservation laws

In this paper, approximate nonlinear self-adjointness for perturbed PDEs is introduced and its properties are studied. Consequently, approximate conservation laws which cannot be obtained by the approximate Noether theorem are constructed by means of the method. As an application, a class of perturbed nonlinear wave equations is considered to illustrate the effectiveness.Comment: 13 pages, 2 table

Lattice Dynamics in the Half-Space, II. Energy Transport Equation

We consider the lattice dynamics in the half-space. The initial data are random according to a probability measure which enforces slow spatial variation on the linear scale $\varepsilon^{-1}$. We establish two time regimes. For times of order $\varepsilon^{-\gamma}$, $0<\gamma<1$, locally the measure converges to a Gaussian measure which is time stationary with a covariance inherited from the initial measure (non-Gaussian, in general). For times of order $\varepsilon^{-1}$, this covariance changes in time and is governed by a semiclassical transport equation.Comment: 35 page

Motional Broadening in Ensembles With Heavy-Tail Frequency Distribution

We show that the spectrum of an ensemble of two-level systems can be broadened through `resetting' discrete fluctuations, in contrast to the well-known motional-narrowing effect. We establish that the condition for the onset of motional broadening is that the ensemble frequency distribution has heavy tails with a diverging first moment. We find that the asymptotic motional-broadened lineshape is a Lorentzian, and derive an expression for its width. We explain why motional broadening persists up to some fluctuation rate, even when there is a physical upper cutoff to the frequency distribution.Comment: 6 pages, 4 figure

Academic Motivation of Master Students Studying Pedagogical Science: Case of KFU

The relevance of the study is due to the contradiction between the objective need for developing the academic motivation of Master students by means of research-oriented education and the insufficient development of the corresponding didactic conditions. The purpose of this paper is to identify the research-based learning potential in the development of Master students academic motivation and reasoning the didactic conditions promoting its effective implementation. In order to achieve it, the following tasks were solved: to reveal the essence of academic motivation and its features among Master’s students studying “Pedagogical science”; to promote theoretically and experimentally the didactic conditions for the effective implementation of the motivational potential of research-oriented learning. To identify the features of academic motivation, the methodology “Scale of Academic Motivation” was used.Research results: the essence of academic motivation as a set of motives that are the reason for the conscious inclusion of a student in educational activities is revealed; the features of the academic motivation of Master students studying Pedagogical science were revealed (the conscious choice of the program of training by the vast majority of students; different students’ background – previous education, work experience, age, that determines the polymotivation of educational activity with the dominance of internal motivation). It is shown that the motivational potential of researchoriented teaching of students is associated with its main characteristics: the purpose, content, nature of studying and research activities, features of results evaluation. Didactic conditions were experimentally promoted that enhance the motivational potential of research-oriented learning (taking into account the characteristics and levels of development of the corresponding types of students’ motivation; creating real opportunities for free choice of research topics for Master students; using work in pairs as a form of organizing educational and research activities; using a complex of stimulating methods for evaluating the study results). Perspective paths for study of the students’ academic motivation are indicated

Lie group analysis of a generalized Krichever-Novikov differential-difference equation

The symmetry algebra of the differential--difference equation $$\dot u_n = [P(u_n)u_{n+1}u_{n-1} + Q(u_n)(u_{n+1}+u_{n-1})+ R(u_n)]/(u_{n+1}-u_{n-1}),$$ where $P$, $Q$ and $R$ are arbitrary analytic functions is shown to have the dimension 1 \le \mbox{dim}L \le 5. When $P$, $Q$ and $R$ are specific second order polynomials in $u_n$ (depending on 6 constants) this is the integrable discretization of the Krichever--Novikov equation. We find 3 cases when the arbitrary functions are not polynomials and the symmetry algebra satisfies \mbox{dim}L=2. These cases are shown not to be integrable. The symmetry algebras are used to reduce the equations to purely difference ones. The symmetry group is also used to impose periodicity $u_{n+N}=u_n$ and thus to reduce the differential--difference equation to a system of $N$ coupled ordinary three points difference equations