«ACCUMULATION POINT» 관련 영어 책
다음 도서 목록 항목에서
accumulation point 의 용법을 확인하세요.
accumulation point 에 관련된 책과 해당 책의 짧은 발췌문을 통해 영어 서적에서 단어가 사용되는 맥락을 제공합니다.
1
Introduction to Analysis
One might be led to conjecture that the limit of a convergent sequence is always
an accumulation point of the range of the sequence. To see that this is false,
consider the sequence {a„}~=i where a„ = 1 for all n. This sequence converges to
1, ...
A point x of a topological space X will be called a 1-accumulation point of a set S
in X if Na, n S is infinite for every neighborhood of x. This notion was first
introduced by Hausdorff who used the expression B-accumulation pomt.
Theorem 2.
3
Elementary Classical Analysis
Another useful way to determine whether or not a set is closed is based on the
concept of an accumulation point. 2.4.1 Definition A point x in a metric space M is
called an accumulation point of a set A C M if every open set U containing x ...
Jerrold E. Marsden, Michael J. Hoffman, 1993
4
Counterexamples in Topology
In this case, p is called an accumulation point of the sequence. It is possible that
a sequence has uncountably many limit points (Example 4), both a limit point and
an accumulation point- that is not a limit point (Example 53), or a single ...
Lynn Arthur Steen, J. Arthur Seebach, 2013
A point x is an accumulation point (sometimes called cluster point or limit point) of
a subset A of a topological space (Xfl) iff every neighborhood of x contains points
of A other than x. Then it is true that each neighborhood of a point x intersects ...
Since k = 0, 0' = R, we conclude that the sets R and 0 are both open and closed.
Accumulation Point (Limit Point). Let us consider a subset A C R. A point a C R is
an accumulation point or a limit point of A if and only if every neighbourhood of a
...
7
Introduction to General Topology
(2.7) Definition: Let A be a subset of a topological space X and y e X. Then >• is
said to be an accumulation point of A if every open set containing 3• contains at
least one point of A other than y. As examples we note that in a discrete space no
...
8
The Mathematics Dictionary
See compound — compound amount. accumulation point. (1) An accumulation
point of a set of points is a point P such that there is at least one point of the set
distinct from P in any neighborhood of the given point; a point which is the limit of
a ...
9
Elementary Real Analysis
4.2.4 Show that no interior point of a set can be a boundary point, that it is
possible for an accumulation point to be a boundary point, and that every isolated
point must be a boundary point. 4.2.5 Let E be a nonempty set of real numbers
that is ...
Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner, 2008
Suppose X is a metric space, z ∈ X and S is a subset of X. Then z is called an
accumulation point or a limit point of S in X if, and only if, dist(z,S\{z}) = 0. The
collection of all accumulation points of S in X will be denoted by acc(S), or by
accX(S) ...
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Employees are busy doing their jobs, and sometimes when a new hazardous waste container is placed into a satellite accumulation point it is ... «Environmental Leader, 8월 14»
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Prior to implementation of the recycling program, all dead batteries were delivered to Camp Leatherneck's hazardous waste accumulation point ... «Department of Defense, 6월 12»
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I'm long AT&T and was adding shares at $29.25, I have moved up my accumulation point to $30.75 as of the price dip on April 9. Also, from a ... «Seeking Alpha, 5월 12»
