-
1 Отсутствие артиклей в выражениях, используемых после with, without, in, as и at для уточнения свойств основного существительного
We shall be concerned with real $n$-spaceThis program package can be installed without much difficultyThen $D$ becomes a locally convex space with dual space $D'$The set of points with distance 1 from $K$The set of all functions with compact supportThe compact set of all points at distance 1 from $K$An algebra with unit $e$An operator with domain $H^2$A solution with vanishing Cauchy dataA cube with sides parallel to the axes of coordinatesA domain with smooth boundaryAn equation with constant coefficientsA function with compact supportRandom variables with zero expectation (zero mean)Any random variable can be taken as coordinate variable on $X$Here $t$ is interpreted as area and volumeWe show that $G$ is a group with composition as group operationIt is assumed that the matrix $A$ is given in diagonal (triangular, upper (lower) triangular, Hessenberg) formThen $A$ is deformed into $B$ by pushing it at constant speed along the integral curves of $X$$G$ is now viewed as a set, without group structureThe (a) function in coordinate representationThe idea of a vector in real $n$-dimensional spaceThe point $x$ with coordinates $(1,1)$A solution in explicit (implicit, coordinate) formОднако: let $B$ be a Banach space with a weak sympletic form $w$Однако: (the) two random variables with a common distributionОднако: this representation of $A$ is well defined as the integral of $f$ over the domain $D$Then the matrix $A$ has the simple eigenvalue $lambda=1$ with eigenvectors $x=(1,0)$ and $y=(1,-100)$Русско-английский словарь по прикладной математике и механике > Отсутствие артиклей в выражениях, используемых после with, without, in, as и at для уточнения свойств основного существительного
-
2 компакт с краем
Mathematics: compact set with boundary -
3 Определенные артикли перед существительными, которые однозначно определены контекстом в момент использования
Let us consider the equation $y=ax+b$Let $x$ be the root of equation (1) (если (1) имеет единственный корень)Let $T$ be the linear transformation defined by (1) (если оно единственно)We see that $x=1$ in the compact set $X$ of all points at distance 1 from $A$Let $B$ be the Banach space of all linear operators in $X$Let $A=B$ under the usual boundary conditionsThis notation is introduced with the natural definitions of addition and multiplicationUsing the standard inner (scalar, dot) product, we may (can) conclude that $Ax=0$Русско-английский словарь по прикладной математике и механике > Определенные артикли перед существительными, которые однозначно определены контекстом в момент использования
См. также в других словарях:
Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… … Wikipedia
Compact operator — In functional analysis, a branch of mathematics, a compact operator is a linear operator L from a Banach space X to another Banach space Y, such that the image under L of any bounded subset of X is a relatively compact subset of Y. Such an… … Wikipedia
Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment … Wikipedia
Empty set — ∅ redirects here. For similar looking symbols, see Ø (disambiguation). The empty set is the set containing no elements. In mathematics, and more specifically set theory, the empty set is the unique set having no elements; its size or cardinality… … Wikipedia
Closed set — This article is about the complement of an open set. For a set closed under an operation, see closure (mathematics). For other uses, see Closed (disambiguation). In geometry, topology, and related branches of mathematics, a closed set is a set… … Wikipedia
Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… … Wikipedia
Capacity of a set — In mathematics, the capacity of a set in Euclidean space is a measure of that set s size . Unlike, say, Lebesgue measure, which measures a set s volume or physical extent, capacity is a mathematical analogue of a set s ability to hold electrical… … Wikipedia
List of Latin words with English derivatives — This is a list of Latin words with derivatives in English (and other modern languages). Ancient orthography did not distinguish between i and j or between u and v. Many modern works distinguish u from v but not i from j. In this article both… … Wikipedia
Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… … Wikipedia
Closed manifold — See also: Classification of manifolds#Point set In mathematics, a closed manifold is a type of topological space, namely a compact manifold without boundary. In contexts where no boundary is possible, any compact manifold is a closed manifold.… … Wikipedia
Degree of a continuous mapping — This article is about the term degree as used in algebraic topology. For other uses, see degree (mathematics). A degree two map of a sphere onto itself. In topology, the degree is a numerical invariant that describes a continuous mapping between… … Wikipedia
