<TR><TD valign="top">[a2]</TD> <TD valign="top"> H.J.J. te Riele, "A Note on the Catalan–Dickson Conjecture" , ''Mathematics of Computation'' '''27
2 KB (331 words) - 14:02, 12 November 2023
...amental group|fundamental group]] $\pi_1 (\Omega)$ of $\Omega$ is trivial. Note that the connectedness assumptions guarantees that, if $\gamma$ can be defo
2 KB (314 words) - 09:19, 27 December 2020
...ussian for $d \geq 3$ and non-Gaussian for $d = 2$ ([[#References|[a7]]]). Note that for $d \geq 2$ the Wiener sausage is a sparse object: since the Browni
to leading order. Note that, apparently, a large deviation below the scale of the mean "squeezes
9 KB (1,317 words) - 16:09, 11 February 2024
<TR><TD valign="top">[3]</TD> <TD valign="top"> L. Gårding, "Note on continuous representations of Lie groups" ''Proc. Nat. Acad. Sci. USA''
3 KB (401 words) - 18:39, 17 October 2016
...e analogy with the classical definition of probability is evident. One may note that in the [[Bertrand paradox|Bertrand paradox]], which is connected with
3 KB (427 words) - 16:51, 8 April 2023
...<TD valign="top">[a1]</TD> <TD valign="top"> E.M. Alfsen, P. Holm, "A note on compact representations and almost periodicity in topological groups" '
3 KB (423 words) - 10:59, 29 May 2020
is well defined. Note that the real part of $ T $
3 KB (384 words) - 08:12, 6 June 2020
<TR><TD valign="top">[a2]</TD> <TD valign="top"> R.D. Carmichael, "Note on a new number theory function" ''Bull. Amer. Math. Soc.'' , '''16''' (1
3 KB (485 words) - 17:34, 18 October 2014
<TR><TD valign="top">[a1]</TD> <TD valign="top"> J. Leech, "Note on sphere packings" ''Canad. J. Math.'' , '''19''' (1967) pp. 251–267<
3 KB (412 words) - 06:40, 23 March 2023
...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