...rticular the limits of $T$ and its derivatives as $x' \rightarrow x$, such as
...ed in the [[calculus of variations]] and in the [[Relativity theory|theory of relativity]].
815 bytes (132 words) - 22:12, 29 November 2014
...ted to a certain form of the concept of infinity in mathematics — the idea of a potential infinity.
...., but it does not imply the idea of the existence of the natural sequence as an actual "infinite object" .
1 KB (196 words) - 17:15, 7 February 2011
...x)$ are called asymptotically equal as $x\to x_0$ if in some neighbourhood of the point $x_0$ (except possibly at $x_0$ itself)
...onsideration are defined). If $g(x)$ does not vanish in some neighbourhood of $x_0$, this condition is equivalent to the requirement
2 KB (363 words) - 19:10, 7 July 2014
...nd the real number $\mu>0$ are parameters. The [[characteristic function]] of the Erlang distribution has the form
...variables having the same exponential distribution with parameter $n\mu$. As $n\to\infty$, the Erlang distribution tends to the [[degenerate distributio
2 KB (279 words) - 19:37, 4 December 2016
...extensively employed in Ancient Egypt and, as a result, received the name of Egyptian fractions.
468 bytes (68 words) - 21:30, 15 November 2014
...ons are comparatively rare (in practice) and, as a rule, arise as mixtures of probability distributions.
498 bytes (65 words) - 16:55, 7 February 2011
...ll $x$ satisfying the condition $|x-x_0|<\delta$. This fact can be written as follows:
...inition of the limit of a function. In fact, the limit of the function $f$ as $x\to x_0$ is finite and equal to $A$ if and only if
1 KB (208 words) - 09:21, 14 December 2012
...elated to a certain form of the idea of infinity in mathematics — the idea of the so-called actual infinity.
...of all non-negative integers — the [[Natural sequence|natural sequence]] — as a mathematical object.
2 KB (297 words) - 17:03, 7 February 2011
''of a set $X$''
A subset $A$ of $X$ for which the [[relative complement]] $X \setminus A$ is finite.
476 bytes (81 words) - 10:14, 22 October 2016
''of rings, algebras''
The same as [[tensor product]].
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''of a [[graph]] $G $''
...x]] $I$, then the incidence matrix $I[S]$ consists precisely of those rows of $I$ corresponding to vertices in $S$.
330 bytes (65 words) - 14:49, 10 January 2016
...ng operator (cf. [[Generating operator of a semi-group|Generating operator of a semi-group]]).
467 bytes (65 words) - 17:22, 7 February 2011
...part of the homology group with as domain of coefficients the group $\ZZ$ of integers, if this homology group is finitely generated. Named after E. Bett
...top">[1]</TD> <TD valign="top"> H. Seifert, W. Threlfall, "A textbook of topology" , Acad. Press (1980) (Translated from German)</TD></TR><TR><TD
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...f [[tiling]]s, '''protoset''' is sometimes used as abbreviation for "''set of [[prototile]]s''".
111 bytes (17 words) - 18:46, 11 February 2012
...ential-geometric structures on fibre spaces that later simply became known as connections. (See [[Connection|Connection]].)
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$#C+1 = 8 : ~/encyclopedia/old_files/data/D032/D.0302650 Diophantine problems of additive type
...[[Additive problems|additive problems]], i.e. as problems of decomposition of an integer $ n $(
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...ar polyhedra (Platonic solids); if the edge length is $a$, then the volume of the octahedron is
...n nature as a crystal of chrome alum. In terms of its circumradius as unit of measurement, its six vertices have Cartesian coordinates
2 KB (244 words) - 14:08, 30 July 2014
''of a curve $ y = f(x) $
A straight line the distance of which from the point $ (x, f(x)) $
3 KB (410 words) - 18:48, 5 April 2020
Any topological space for which $X$ serves as a retract (cf. [[Retract of a topological space]]).
...fact no name for this concept. The standard Western usage of dominating is as follows: A space $X$ is said to dominate a space $Y$ if and only if there a
476 bytes (82 words) - 17:20, 29 September 2016
...o the given test" . The term "testing" is basically used in combinations as "repeated testing" , "independent testing" , "testing in a Markov chain"
649 bytes (94 words) - 07:34, 2 November 2014