...em typically provides facilities for the following kinds of tasks: program creation, program execution, communication between programs/applications, access to
A total complex of system programs tends to be very large and the creation of such a complex involves considerable difficulties. A variety of tools, i
2 KB (210 words) - 17:28, 7 February 2011
Rules for permuting the product of two creation or annihilation operators. That is, for the [[Annihilation operators|annihi
and the adjoint [[Creation operators|creation operators]] $ \{ {a ^ \star ( f ) } : {f \in H } \} $,
4 KB (547 words) - 08:05, 6 June 2020
...rse (backward) motion in the force field, that would be sufficient for the creation of a real motion if the mechanical system were completely free, takes a rel
1 KB (169 words) - 16:57, 7 February 2011
are called creation operators; their action on the vectors $ ( f _ {1} \otimes \dots \otimes
particles ( "creation" of a particle).
8 KB (1,124 words) - 18:47, 5 April 2020
are the creation operators and annihilation operators, respectively, acting in $ {\mathcal
If the creation and annihilation operators in $ \mathfrak A( {\mathcal H} _ {V} ) $
4 KB (615 words) - 07:51, 14 January 2024
called [[Creation operators|creation operators]]. The annihilation operators are given as the closures of the op
The creation operators $ a _ \alpha ^ {*} ( f ) $
11 KB (1,537 words) - 19:39, 5 June 2020
...ivity principle to electromagnetic phenomena, were the main stimuli in the creation of the special theory of relativity, which also postulates the existence of
2 KB (272 words) - 17:21, 7 February 2011
...rce for the creation of the theory of such determinants, and later for the creation by E. Fredholm of the theory of integral equations (cf. [[Fredholm theorems
5 KB (759 words) - 22:10, 5 June 2020
...n of the transfer of neutrons and gamma-quanta, and have also promoted the creation of a mathematical theory of the linear kinetic equation. Existence and uniq
6 KB (882 words) - 13:51, 20 April 2014
...the method was later considerably transformed and served as a stage in the creation of integral calculus. See [[Infinitesimal calculus|Infinitesimal calculus]]
2 KB (346 words) - 17:03, 7 February 2011
...lgorithms, theory of|theory of algorithms]] from the very beginning of its creation. In particular, this analogy lies at the basis of the various classificatio
2 KB (351 words) - 21:15, 29 January 2017
...or $ \hat{H} $ is represented by some combinations of [[Creation operators|creation]] and [[Annihilation operators|annihilation operators]] (i.e., the second q
6 KB (937 words) - 09:15, 14 December 2016
A statement obtained by K. Hensel [[#References|[1]]] in the creation of the theory of $ p $-
3 KB (387 words) - 06:06, 26 May 2024
...the fact that their [[Hopf invariant|Hopf invariant]] is non-trivial. The creation of the mappings requires the so-called Hopf construction.
3 KB (436 words) - 22:11, 5 June 2020
...lso used in the literature on the foundations of mathematics to denote the creation of the theory of real numbers in the 19th century using set-theoretic const
3 KB (481 words) - 12:48, 14 February 2020
...ce of these instructions is labour-intensive work. This has stimulated the creation of facilities for [[Automatic programming|automatic programming]]. There ha
The next step in the automation of programming was the creation of high-level algorithmic languages (cf. [[Algorithmic language|Algorithmic
19 KB (2,814 words) - 17:16, 7 February 2011
...y various scholars at the beginning of the 20th century and leading to the creation of [[Axiomatic set theory|axiomatic set theory]], and secondly, the emergen
...he $\mathcal{A}$-operation, arising in the study of Borel sets, led to the creation of [[Descriptive set theory|descriptive set theory]]. From a number of prob
8 KB (1,307 words) - 19:50, 30 November 2014
...figures. With the use of variable quantities in analytic geometry and the creation of differential and integral calculus, the period of the mathematics of var
...view, the possible types of quantitative relations and spatial forms. The creation of the "imaginary" geometry of Lobachevskii was the first significant step
22 KB (3,256 words) - 21:54, 30 March 2012
Problems in astronomy related to the creation of an inertial reference coordinate system in space and a unification of th
4 KB (554 words) - 17:13, 7 February 2011
Wick and anti-Wick. Namely, introduce the creation operator $ a _ {j} ^ {+} = \widehat{q} _ {j} - i \widehat{p} _ {j} $(
cf. [[Creation operators|Creation operators]]) and the annihilation operator $ a _ {j} ^ {-} = \widehat{q}
13 KB (1,836 words) - 14:55, 7 June 2020