...y|boundary-layer theory]] developed, as well as applications in the theory of heat transfer, diffusion, processes in semi-conductors, etc.
...development of this concept, as well as its applications, are in the field of singular perturbations. For a partial review one may consult [[#References|
2 KB (264 words) - 11:57, 27 September 2012
...is considered as the way information is transmitted in the nervous system of animals. Cardiac, muscle and some endocrine cells also display action poten
...sient departure from equilibrium that is not propagated. After the passing of an action potential the axon apparently returns to its equilibrium state bu
2 KB (251 words) - 08:13, 21 June 2014
...age]] used for denoting a [[Logical operation|logical operation]] by means of which a new statement can be obtained from given statements. The most impor
...is usually not introduced as an independent propositional connective, but as an abbreviation:
2 KB (311 words) - 15:56, 14 February 2020
...logic the following [[Truth table|truth table]] applies for the operation of negation:
772 bytes (119 words) - 07:34, 12 August 2014
$#C+1 = 16 : ~/encyclopedia/old_files/data/C024/C.0204220 Complexification of a vector space
by extending the field of scalars. The space $ V ^ {\mathbf C } $
1 KB (197 words) - 17:46, 4 June 2020
...the same as [[Algebra|algebra]]. The phrase frequently occurs in the title of general texts on modules, rings, fields, vector spaces, etc.
161 bytes (25 words) - 15:20, 1 May 2014
...es as an estimator of the [[auto-correlation]] (auto-correlation function) of a [[Time series|time series]]. Let $ x _ {1} \dots x _ {N} $
be a time series. The serial correlation coefficient of order $ k $
2 KB (327 words) - 08:24, 20 January 2024
...$a>0$ white and $b>0$ black balls. The numbers $c$ and $d$, the parameters of the urn model, may also be negative.
...ons. The negative binomial distribution and the Poisson distribution arise as limit distributions from certain urn models.
2 KB (335 words) - 07:02, 27 May 2023
An argument $x$ of a function $f$ that satisfies the condition
...e-sided derivative exists at a smooth point, an ordinary derivative exists as well.
569 bytes (102 words) - 06:04, 22 August 2014
The same as the [[Antinomy|antinomy]] of the "village barber".
76 bytes (12 words) - 12:46, 27 August 2014
Convergence
of a sequence
of random variables <img align="absmiddle" border="0" src="https://www.encyclo
...rgence is so called because condition (*) is equivalent to the convergence
of the distribution functions <img align="absmiddle" border="0" src="https://w
2 KB (315 words) - 16:40, 6 February 2012
Probably an obsolete terminology. As far as I know, a Borel σ-field on a topological space usually means the σ-field
: No complaints on that from me -- this is one of my "pick a random page, and if it is not too long then tex it" pages. --[[U
601 bytes (100 words) - 06:00, 24 July 2012
...learly any field of characteristic zero is a binomial ring, as is the ring of integers $\mathbf{Z}$.
663 bytes (103 words) - 20:19, 20 November 2023
...r hand the relation of symmetry may be taken as a basis for the axiomatics of plane Euclidean geometry (see [[#References|[5]]]).
<TR><TD valign="top">[2]</TD> <TD valign="top"> V.F. Kagan, "Foundations of geometry" , '''1''' , Moscow-Leningrad (1949) (In Russian)</TD></TR>
3 KB (380 words) - 20:59, 25 October 2014
.... An example of a Sturm curve is the trajectory of the focus of a parabola as it rolls along the $x$-axis — a [[Catenary|catenary]].
...><TD valign="top">[a1]</TD> <TD valign="top"> J.D. Lawrence, "A catalog of special plane curves" , Dover, reprint (1972)</TD></TR><TR><TD valign="top
955 bytes (145 words) - 11:44, 5 July 2014
...ucible module are also completely reducible. The [[lattice]] of submodules of a module $M$ is a [[lattice with complements]] if and only if $M$ is comple
...reducible it is sufficient for it to be completely reducible when regarded as a left (right) module over itself.
1 KB (194 words) - 12:47, 13 December 2015
...of the Schreier system be represented as a reduced word in the generators of the group:
...$g'$ should also belong to this system (the element $g'$ can be considered as the reduced word obtained from $g$ by deleting its last letter). The elemen
1 KB (211 words) - 12:17, 19 August 2014
...ghts, but this is not relevant as long as only a single item is requested, as in the template ZBL.
...access to your university to get access rights for your personal computer as well (no matter at which place in the world you use your computer). --[[Use
2 KB (388 words) - 20:35, 20 January 2012
One of the best known optimal stopping problems (see also [[Stopping time|Stopping
...s with the girls yet unseen. A rule is asked for that maximizes the chance of actually selecting the best girl.
2 KB (291 words) - 18:52, 11 December 2020
The same as [[Continued fraction|continued fraction]], i.e. an expression of the form
are finite or infinite sequences of complex numbers or functions. For continued fractions one uses the notation
6 KB (886 words) - 17:03, 7 February 2011