...s are taken as $ h_i $ or as $ m_i $. Thus, let the measurements of trunks of 1000 firs give the following results:
<tr> <td colname="1" style="background-color:white;" colspan="1">number of trunks</td> <td colname="2" style="background-color:white;" colspan="1">100
3 KB (376 words) - 00:30, 11 June 2013
...multiplication $(m,r) \cdot (n,s) = (mn, ms + nr + rs)$ which has $(1,0)$ as a multiplicative identity.
...ra $A$ over a field $K$ is an algebra over $K$ which is unital as a ring. As with rings, any $K$-algebra $A$ can be embedded in a unital $K$-algebra $A^
1 KB (199 words) - 18:38, 13 November 2023
...ignature]]. A Gödelization could be understood as encoding of the elements of $A$ by natural numbers {{Cite|W90}}.
...lon C \longrightarrow A$. More precisely, $\beta=\nu^{-1}$ is the inverse of $\nu$ in this case. For a sensible signature $\Sigma$ and a term-generated
2 KB (241 words) - 07:50, 21 March 2023
...omains in the plane have been constructed with an indecomposable continuum as common boundary.
815 bytes (126 words) - 08:39, 12 April 2014
...ts of two digits" one says the term "12" is used autonymously (as the name of itself).
...d without the quotation marks. Autonymous use of a term merges the meaning of the term with the term itself: it is both the object itself and the name by
2 KB (318 words) - 14:25, 30 December 2018
The same as a [[Degenerate distribution|degenerate distribution]].
...]]; the latter is defined as a [[Measure|measure]] $\mu$ on the Borel sets of $\mathbf R$ such that $\mu(\mathbf R)<1$.
393 bytes (58 words) - 21:48, 11 April 2014
...eferences here, and I had some trouble locating them on MathSciNet. As far as I can tell, the following changes are in order:
The paper by Kantorovich and Rubinstein from 1957 is titled ''On a space of completely additive functions'' on MathSciNet, rather than ''On *the* space
903 bytes (136 words) - 05:36, 22 June 2014
A [[Metric|metric]] $\rho$ which is defined for any two points $x$, $y$ of a [[Metric space|metric space]] that can be connected by a [[rectifiable cu
where $s_\rho$ is the length of the curve in the metric $\rho$. A [[Riemannian metric]] induces an internal
1 KB (231 words) - 12:31, 9 November 2014
...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
...ite characteristic is obscure. It would be better to define a local field as being complete and locally compact with respect to a valuation. [[User:Ric
488 bytes (75 words) - 17:46, 20 December 2014
''of rings, algebras''
The same as [[tensor product]].
104 bytes (13 words) - 12:34, 30 December 2014
''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