A term which is usually understood to mean a function of points in some space $X$ whose values are vectors (cf. [[Vector|Vector]]),
...egments applied at the points of this subset. For instance, the collection of unit-length vectors tangent or normal to a smooth curve (surface) is a vect
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''law of detachment, rule of detachment''
...tion rule]] in formal logical systems. The rule of modus ponens is written as a scheme
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...atation]]. See also [[Expanding mapping|Expanding mapping]] (in the theory of manifolds).
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The development of a function as a series in [[Chebyshev polynomials|Chebyshev polynomials]].
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...hcal{K}_I$ is described by its pay-off function $H_K$ (see [[Games, theory of]]). Only the case $\mathcal{K}_I \subseteq \mathcal{K}_A$ has been investig
...s a simplicial complex with vertex set $P$. Certain topological properties of $\mathcal{K}_A$ have a game-theoretic sense; in particular, if $\mathcal{K}
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...closed; the intersection of any number of closed sets is closed; the union of finitely many closed sets is closed.
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...eometry" of the space. In an axiomatic construction, the basic properties of these relations are expressed in corresponding axioms.
As examples of spaces one can mention:
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...line is mapped onto a circle or a straight line. In such cases one speakes of anallagmatic point geometry.
...n); the basic element is not a point but a circle. In that case one speaks of circular anallagmatic geometry.
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...uniquely as a union of finitely many irreducible subgerms of it. The germ of a reduced [[Complex space|complex space]] $ ( X , {\mathcal O} ) $
...elf irreducible if and only if it is connected; the irreducible components of a complex space are its connected components.
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a linear mapping $f$ of a (right) vector space $V$ over a skew-field $K$ with the properties
...In the general case (provided that $\dim V \ne 1$), $\SL(V)$ is the kernel of the epimorphism
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...terest in propositional calculi is due to the fact that they form the base of almost all logical-mathematical theories, and usually combine relative simp
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...,5$. The icosahedral space can be defined analytically as the intersection of the surface
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...ion of a mechanical system acted upon by given active forces, in the class of kinematically possible motions between some two final positions $P_0$ and $
...rangian and Jacobian actions, which appear in the corresponding principles of stationary action.
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An acronym for "weighted least squares" , as in "WLS regression" .
See [[Least squares, method of|Least squares, method of]]; [[Weight|Weight]].
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...mber of lottery tickets, considered to be the population which, on account of its nature, must necessarily be finite.
...ng rule is defined by a distribution function $F$, so that the probability of obtaining an experimental result comprised in a semi-interval $(a,b]$ is ex
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...sion. The dimension of a finite geometric complex is the largest dimension of its constituent simplices.
...th the ordinary topology on all its simplices; the weak topology may serve as an example.
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...te|Ar}} in complete generality. Cf. [[Weight of a topological space|Weight of a topological space]].
...}}||valign="top"| A.V. Arkhangel'skii, "An addition theorem for weights of sets lying in bicompacta" ''Dokl. Akad. Nauk SSSR'', '''126''' : 2 (1959
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''principle of least forcing''
...of positions and velocities of the points in the system at a given moment of time.
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...is defined as 1 if $a = \pm 1$ and 0 otherwise. For $b \neq 0$, write $b$ as a product $\prod_i p_i$ where the $p_i$ are primes, not necessarily distinc
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...a [[Complex number|complex number]] which is not real; an imaginary number of the form $iy$ is called purely imaginary (sometimes only these numbers are
...nd (1768–1822) and C. Wessel (1745–1818), gave geometrical interpretations of imaginary numbers. A. Girard (1595–1632) had already worked along the sam
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