a) Consider all possible recursive schemes — i.e. systems of equations which define $n$-place partial recursive functions. Two scheme
...solvable relations of algorithmic equivalence which would permit complete systems of equivalent transformations that are convenient with regard to their appl
4 KB (663 words) - 12:42, 19 August 2014
of Abelian groups, there exists a Bredon cohomology theory $ \{ H ^ {n} _ {G} ( -,M ) \} _ {n \in \mathbf N } $
are projective objects in the [[Category|category]] of coefficient systems and there is a [[Spectral sequence|spectral sequence]]
5 KB (732 words) - 08:45, 26 March 2023
...g range of computer applications. The term is often understood to mean the theory of numerical methods and algorithms for the solution of typical mathematica
...als with the simplification of the man-computer interaction, including the theory and practice of [[Programming|programming]] computer problems and of [[Auto
13 KB (1,892 words) - 20:11, 31 December 2018
...a certain class. The term "absolute stability" assumes given a class of systems and an indication of the sense in which stability and uniformity are to be
Numerous studies of particular non-linear systems have led to the understanding that in the first place one should take in co
16 KB (2,300 words) - 08:22, 6 June 2020
...of both the geometric and the non-geometric theory of Jordan–Banach triple systems can be found in [[#References|[a25]]].
...and usually denoted by $V _ { y } ^ { \sigma }$. Important notions in the theory of Jordan pairs, such as the [[Jacobson radical|Jacobson radical]], are def
14 KB (2,076 words) - 17:00, 1 July 2020
A method used in non-linear oscillation theory to study oscillatory processes; it is based on an averaging principle, that
...the exact one (see [[#References|[1]]], [[#References|[2]]]). The rigorous theory of the method, with a comprehensive explanation of the essence of the gener
8 KB (1,178 words) - 22:15, 5 June 2020
...tems of linear inequalities and equalities. There exists a well worked-out theory of quadratic programming, and numerical methods have been developed for the
..."top">[a1]</TD> <TD valign="top"> M. Minoux, "Mathematical programming: theory and algorithms" , Wiley (1986)</TD></TR></table>
3 KB (372 words) - 08:07, 22 November 2014
In generic discrete-time dynamical systems defined by iterations of diffeomorphisms, orbits which are homoclinic to a
...TD valign="top"> S. Wiggins, "Introduction to applied non-linear dynamical systems and chaos" , Springer (1990) {{MR|1056699}} {{ZBL|}} </TD></TR></table>
13 KB (1,770 words) - 22:10, 5 June 2020
The mathematical investigation of three-particle systems became possible after L.D. Faddeev in 1960 proposed and studied an integral
..."Mathematical aspects of the three-body problem in the quantum scattering theory" , Israel Program Sci. Transl. (1965) (Translated from Russian)</TD></TR>
4 KB (564 words) - 07:56, 25 April 2022
...deas have found many applications in, e.g.: [[Scheduling theory|scheduling theory]]; circuit and network design; architectural design; control (cf. [[Control
...arametric approach for selecting the most reliable population" ''Queueing Systems'' , '''24''' (1996) pp. 169–176</td></tr></table>
2 KB (296 words) - 16:58, 1 July 2020
...are recursively axiomatized, but not necessarily finitely axiomatized. The theory of axiomatized classes reveals regularities common to all classes of object
...n="top">[2]</TD> <TD valign="top"> A.I. Mal'tsev, "Some problems in the theory of classes of models" , ''Proc. 4-th All-Union Math. Congress (1961)'' , ''
4 KB (658 words) - 10:26, 27 April 2020
...istical physics are basically related to two directions of the statistical theory: to equilibrium statistical mechanics, the problems of which are related to
solves the problems of the equilibrium theory (all equilibrium characteristics, such as internal energy, heat capacity, s
14 KB (2,025 words) - 08:23, 6 June 2020
...stituents of systems for the transmission of information considered in the theory of information transmission. It is used in the mathematical description of
...defined above, are possible; these correspond to more general and complex systems of information transmission (see, for example, [[Channel with feedback|Chan
10 KB (1,309 words) - 17:45, 4 June 2020
...[[Auto-oscillation|Auto-oscillation]]) of one of the simplest oscillating systems (the van der Pol oscillator). In particular, equation (1) serves — after
...="top"> J.J. Stoker, "Nonlinear vibrations in mechanical and electrical systems" , Interscience (1950)</TD></TR><TR><TD valign="top">[5]</TD> <TD valign="
6 KB (857 words) - 08:41, 13 May 2022
...golyubov in the justification of the dispersion relations in quantum field theory ([[#References|[1]]], Appendix A). The modern formulation is as follows. Le
...m field theory, in the theory of partial differential equations and in the theory of boundary values of holomorphic functions (especially of functions of sev
11 KB (1,586 words) - 07:17, 13 June 2022
...mptions of [[Relativity theory|relativity theory]]. The space-time of this theory is the four-dimensional [[Pseudo-Euclidean space|pseudo-Euclidean space]] $
...lations in special relativity theory. The space-time of special relativity theory is also called Minkowski space-time, or Lorentz space-time.
6 KB (840 words) - 13:26, 15 August 2014
''for linear systems of ordinary differential equations''
...TR><TR><TD valign="top">[5]</TD> <TD valign="top"> N.A. Izobov, "Linear systems of ordinary differential equations" ''J. Soviet Math.'' , '''5''' : 1 (1
4 KB (578 words) - 08:11, 13 July 2022
[[Category:General theory of linear operators]]
...{Cite|N}}, having in mind in the first instance its application in ergodic theory, when in a [[Measure space|measure space]] $ ( X , \mu ) $
4 KB (632 words) - 17:38, 6 January 2024
...r series associated with the expansion \eqref{7} is played by the spectral theory of linear operators.
...on, etc.). In this way also a whole series of relations is obtained in the theory of special functions.
4 KB (653 words) - 15:15, 14 February 2020
1) In the theory of operators the initial object $ \mathfrak D ( \lambda ) $
...t the solution of the non-linear problem is not unique. The methods of the theory of [[Branching of solutions|branching of solutions]] of non-linear equation
11 KB (1,608 words) - 10:59, 29 May 2020