...s in $A$. The isolator of a set $M$ of elements of a group is the smallest isolated subgroup containing $M$.
...if the quotient group $G/H$ is torsion-free. The centre of an $R$-group is isolated.
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#REDIRECT [[Isolated point]]
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The gravitational field (cf. [[Gravitation|Gravitation]]) of an isolated point body whose space-time characteristics are determined by the [[Schwarz
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...ted singular points (cf. [[Isolated singular point]]) are sometimes called isolated singularities.
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The [[recursive equivalence type]] of an isolated (that is, finite or immune, cf. [[Immune set]]) set of natural numbers. The
A subset of the natural numbers $\mathbf N$ is an isolated set if it contains no infinite recursively-enumerable subset of $\mathbf N$
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...ximate point]] of a set $M$ is either a limit point or an [[Isolated point|isolated point]] of it.
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An uncountable topological $T_1$-space without isolated points in which every nowhere-dense subset is countable. The existence of a
...olated points; or 2) at most $\omega$ isolated points; or 3) any number of isolated points.
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If $\Delta>0$, the double point is said to be an isolated point; thus, the coordinate origin of the curve
is an isolated double point (Fig. a). If $\Delta<0$, the double point is said to be a noda
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...p with isolated group part. The following are examples of semi-groups with isolated group part: every finite semi-group with identity, every commutative semi-g
2 KB (266 words) - 15:55, 22 July 2014
...iqueness theorem for primary decompositions, cf. [[#References|[3]]]). The isolated prime ideals of an ideal $I$ of a polynomial ring over a field correspond t
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An older term, hardly used nowadays (2000), for an isolated point, or hermit point, of a plane [[algebraic curve]].
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A subset $A$ with no isolated points is ''dense-in-itself''; a closed dense-in-itself subset is a ''[[per
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...ore than one isolated vertex and if none of its connected components is an isolated edge. For each finite group $F$ there exists a graph whose automorphism gro
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...he classical Hamiltonian flow associated to $H$ (provided that it has only isolated fixed points, see below). Explicitly,
...the assumption that, on the support of $A$, the flow $f _ { t }$ has only isolated fixed points, denoted by $x _ { 1 } , \ldots , x _ { n }$. Then $d _ { k }
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...]]. A perfect topological space is therefore a topological space with no [[isolated point]]s. Examples are $\mathbb R^n$ and $\mathbb C^n$ (with the standard t
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...ture]] of $L$ divided by $2\pi$; if $X$ is a vector field (with or without isolated singular points) on a domain $G$, with Jordan boundary $\partial G$, then t
...the index of a vector field $v$ on an $n$-dimensional manifold $M$, at an isolated point $p$ of $v$. It is defined as the degree of $x\mapsto v(x)/|v(x)|$, as
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An [[Isolated singular point|isolated singular point]] $z_0$ of an [[Analytic function|holomorphic function]] $f:
In a sufficiently small punctured neighbourhood $V\setminus \{z_0\}$ of an isolated singular point $z_0$, any holomorphic function $f$ can be expanded into a L
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...rmitian structure|Hermitian structure]] in which each point $p\in M$ is an isolated fixed point of some holomorphic involutory isometry $s_p$ of $M$. The compo
...A bounded domain $D$ is said to be symmetric if every point $p\in D$ is an isolated fixed point of some involutory holomorphic diffeomorphism of $D$ onto itsel
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...ed'' (prime) if $S\setminus P$ is a sub-semi-group. The set of all totally-isolated ideals of a commutative semi-group with identity forms a semi-lattice under
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...$W=\partial M$, and let $X$ be a [[Vector field|vector field]] on $M$ with isolated zeros such that $X$ points outwards at all points in the boundary $W$.
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