...n coverings (cf. [[Nerve of a family of sets|Nerve of a family of sets]]). Note that a geometric complex is also a cellular complex (cf. [[Cell complex|Cel
3 KB (419 words) - 17:16, 7 February 2011
Note that if $\varepsilon = - 1$ and $K ( a , b ) \equiv 0$ (identically), then
Note that a "triple system" in the sense discussed above is totally different
8 KB (1,154 words) - 19:44, 27 February 2021
* {{Ref|a1}} E. Catalan, "Note sur une équation aux différences finies" ''J. Math. Pures Appl.'' , '''3
2 KB (383 words) - 08:31, 12 November 2023
Note that this definition, which is commonly used now (see [[#References|[a1]]],
3 KB (411 words) - 08:09, 6 June 2020
...nts of this relation process these words to yield the same result. One may note that if some binary relation is decidable (cf. [[Decidable set|Decidable se
3 KB (392 words) - 17:21, 7 February 2011
Note that, as an obvious corollary, if the interval $I$ has length larger than $
2 KB (342 words) - 12:49, 6 October 2012
...rsal algebra, and by the set of all closed subsets in a topological space (note that while the meet of a family of closed sets is their set-theoretic inter
3 KB (459 words) - 12:03, 23 November 2023
* A. R. Rajwade, ''Squares'', London Mathematical Society Lecture Note Series '''171''' Cambridge University Press (1993) {{ISBN|0-521-42668-5}}{{
3 KB (439 words) - 16:55, 25 November 2023
...psilon(m) = 1$ for all $m$ and its inverse $\mu$, the [[Möbius function]]. Note that $\phi = \mu * N_1$, where $N_1(n) = n$ for all $n$, and that $\tau = \
3 KB (419 words) - 20:15, 19 November 2017
...d></tr><tr><td valign="top">[12]</td> <td valign="top"> B. Kamiński, "A note on $K$-systems" ''Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys.'' ,
7 KB (1,037 words) - 16:58, 1 July 2020
...End}(P,{+})$ be the ring of endomorphisms of the additive group of $P$ and note that $\text{End}(P,{+})$ is a left [[module]] over $P$. There is a one-to-o
3 KB (470 words) - 19:10, 9 November 2016
...a little, what is the problem? I do not have that book on my table. I also note that compactness is required. --[[User:Boris Tsirelson|Boris Tsirelson]] ([
3 KB (429 words) - 17:14, 9 October 2013
<TR><TD valign="top">[5]</TD> <TD valign="top"> Y. Nakai, "Note on the intersection of an algebraic variety with the generic hyperplane" ''
3 KB (451 words) - 11:57, 23 April 2017
...quivalent (over $\Sigma ^ { * }$) if they have exactly the same solutions. Note that only systems of equations without constants are considered here. Howev
...]] and rings of integer $( 2 \times 2 )$-matrices in [[#References|[a5]]]. Note that in the latter proof an algebraic structure with two operations, namely
7 KB (1,052 words) - 16:57, 1 July 2020
from physics rather than economics or sociology", as Fortet puts it in his note
interesting. Let us note particularly his work on the
11 KB (1,766 words) - 18:41, 6 March 2024
...[a3]</TD> <TD valign="top"> S. Grandlund, P. Lindqvist, O. Martio, "Note on the PWB-method in the non-linear case" ''Pacific J. Math.'' , '''125'''
3 KB (491 words) - 08:03, 6 June 2020
Note that a triple system in this sense is completely different from, e.g., the
3 KB (525 words) - 10:13, 30 April 2018
...</TD></TR><TR><TD valign="top">[a5]</TD> <TD valign="top"> M. Mazur, "A note on the growth of Davenport's constant" ''Manuscr. Math.'' , '''74''' (199
4 KB (600 words) - 17:32, 5 June 2020
...with weights $w _ { 1 } = ( 1 + c ) / 2$ and $w _ { 2 } = ( 1 - c ) / 2$. Note that if the weights are given by $w _ { 1 } = ( 1 + \operatorname { sign }
...reversing the order of differencing in the predictor and corrector steps. Note that the MacCormack scheme (a11) is not written in conservative form (a2).
16 KB (2,341 words) - 19:00, 26 March 2023
...gy principal series instead of non-degenerate continuous principal series.
Note that <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.
8 KB (1,022 words) - 17:01, 7 February 2011