$#C+1 = 58 : ~/encyclopedia/old_files/data/I052/I.0502000 Intersection homology
...pecial stress on [[Poincaré duality|Poincaré duality]] in its homological (intersection) form: Let $ M $
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$#C+1 = 130 : ~/encyclopedia/old_files/data/I052/I.0502040 Intersection theory
...ent in some sense but that are in general position, and one then takes the intersection of $ Y ^ \prime $
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...ll these sets (the set of elements common to all $A_\alpha$) is called the intersection of these sets.
The intersection of these sets is denoted by $\bigcap A_\alpha$.
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$#C+1 = 57 : ~/encyclopedia/old_files/data/I052/I.0502020 Intersection index (in homology)
...erizing the algebraic (i.e. including orientation) number of points in the intersection of two subsets of complementary dimensions (in [[General position|general p
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$#C+1 = 17 : ~/encyclopedia/old_files/data/I052/I.0502010 Intersection index (in algebraic geometry)
The number of points in the intersection of $ n $
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...closed if it is bounded by the two plane domains interior to the curves of intersection of planes $\pi_1$ and $\pi_2$ with it.
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$#C+1 = 17 : ~/encyclopedia/old_files/data/I052/I.0502010 Intersection index (in algebraic geometry)
The number of points in the intersection of $ n $
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...ll these sets (the set of elements common to all $A_\alpha$) is called the intersection of these sets.
The intersection of these sets is denoted by $\bigcap A_\alpha$.
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- the [[centroid]] (''i.e.'' the centre of mass), the common intersection point of the three medians (see [[Median (of a triangle)]]);
- the incentre, the common intersection point of the three bisectrices (see [[Bisectrix|Bisectrix]]) and hence the
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...$A_i = \{ n \in \mathbf{Z} : n > i \}$ is centred; any family in which the intersection of all members is not empty is centred. Every finite centred family of sets
...s compact if and only if every centred family of closed sets has non-empty intersection. Centred families of closed sets in a topological space are used for the co
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in the same plane defined as follows: 1) the intersection of $ G ^ {*} $
is either empty or is the entire circle, depending on whether the intersection of $ G $
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...point $H$ of intersection of the altitudes of a triangle, the point $S$ of intersection of its [[Median (of a triangle)|median]]s (the [[centroid]]), and the centr
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In a topological space $X$ a subset which is the countable intersection of open sets. See [[Borel set]] and also [[F-sigma]].
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...ion of all modular maximal right ideals (cf. [[Modular ideal]]); it is the intersection of all modular maximal left ideals; it contains all quasi-regular one-sided
...adical $J(A)$ is the intersection of all right maximal ideals and also the intersection of all left maximal ideals. Nakayama's lemma says that if $M$ is a finitely
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...$ denote the operations of [[union of sets|union]], [[intersection of sets|intersection]], [[Difference of two sets|difference]], and [[complementation]] of sets,
...{P}(X)$ of a set $X$ (the set of subsets of $X$), in contrast to union and intersection. This ring is the same as the ring of $\mathbb{Z}/2\mathbb{Z}$-valued funct
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The ellipse of least surface area obtained as the intersection of a one-sheet [[Hyperboloid|hyperboloid]] with a plane perpendicular to it
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An ideal $I$ of a ring $R$ which cannot be expressed as the intersection of a right [[fractional ideal]] $r(I,A)$ and an ideal $B$, each strictly la
...or left and right fractional ideals, and that every ideal decomposes as an intersection of finitely many indecomposable ideals. Then for every ideal $Q$ there exis
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...rsection of the bisectrix of the angle $C$ with $AB$, and the point $L$ of intersection of the bisectrix of the external angle $C$ with $AB$ forms a [[harmonic qua
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The intersection $M$ of all subspaces containing $A$. The set $M$ is also called the subspac
...l of a set $A$ is called the ''[[linear closure]]'' of $A$; it is also the intersection of all closed subspaces containing $A$.
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...all maximal modular right ideals of an associative ring coincides with the intersection of all maximal left modular ideals and is the [[Jacobson radical]] of the r
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...of these is the point of intersection of $l$ and $l'$, then the points of intersection of $AB'$ and $A'B$, $BC'$ and $B'C$, $AC'$ and $A'C$ are collinear.
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...posite to this vertex at a point on the line passing through the points of intersection of the remaining pairs of non-adjacent sides of the pentagon (see Fig. b).
...t $C$ and $D$ with the sides $AD$ and $BC$, respectively, and the point of intersection of $AB$ and $CD$ are collinear (see Fig. c).
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...d $L^{i+1} = L L^i$, $i \ge 0$, with $\lambda$ denoting the empty string), intersection with [[regular language]]s, morphisms (non-erasing in the context-sensitive
1) union, Kleene ${+}$, non-erasing morphisms, inverse morphisms, and intersection with regular languages is closed under concatenation;
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The point of intersection of the lines joining the vertices of a triangle to the points where the sid
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$#C+1 = 57 : ~/encyclopedia/old_files/data/I052/I.0502020 Intersection index (in homology)
...erizing the algebraic (i.e. including orientation) number of points in the intersection of two subsets of complementary dimensions (in [[General position|general p
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