See [[#References|[a1]]] for a well-known additional reference. Note that the Hilbert space obtained by completion of the set of all $ C ^ \
4 KB (557 words) - 10:41, 20 January 2024
...minated in the first round; $B$ would then defeat $C$ in the second round. Note, however, that $A$ defeats $B$ by $6$ votes to $3$, and also defeats $C$ by
4 KB (683 words) - 13:15, 9 August 2014
(note that this sum is finite). The result is a field, denoted by $ k(( X)) $.
8 KB (1,203 words) - 10:36, 20 January 2024
one may note, for the sake of comparison, that the de Moivre–Laplace theorem yields 64
4 KB (524 words) - 10:58, 29 May 2020
...pedia:Section link]] redirects to [[Help:Link#Section linking (anchors)]]. Note that an explicit section link overrides any section link in a redirect, so
...e added to external URLs and to interwiki links, again using the # syntax. Note that if the page name is automatically converted, then the section link sti
15 KB (2,489 words) - 08:03, 1 June 2011
Given an infinite bi-ideal sequence, we note that each $f_i$ is a prefix of $f_{i+1}$ and so the $f_i$ converge to an in
3 KB (562 words) - 14:15, 12 November 2023
...><td valign="top">[a7]</td> <td valign="top"> S. Saks, "Addition to the note on some functionals" ''Trans. Amer. Math. Soc.'' , '''35''' (1933) pp. 9
4 KB (614 words) - 07:39, 24 January 2024
...} f ( \zeta ) [ \operatorname{CF} ( \zeta - z , w ) +$ ; confidence 1.000 NOTE: it looks like the end of the formula is missing
...b/b130/b130090/b13009028.png ; $\Omega \times [ 0 , T]$ ; confidence 0.804 NOTE: the parentesis should probably be closed
44 KB (5,198 words) - 19:32, 19 May 2020
...iterion, see [[#References|[2]]], [[#References|[3]]]). It is important to note that if the equations of some of the elements of the systems are unknown, t
4 KB (619 words) - 13:06, 10 August 2014
(Note the way of controlling the sequencing of rules application by means of the
4 KB (620 words) - 08:10, 6 June 2020
...TD></TR><TR><TD valign="top">[7]</TD> <TD valign="top"> P.L. Walker, "A note on an inequality with non-conjugate parameters" ''Proc. Edinburgh Math. So
4 KB (587 words) - 22:10, 5 June 2020
Note that $ \sigma _ {d} ( A) \subset \sigma _ {r} ( A) $,
5 KB (744 words) - 08:22, 6 June 2020
...quasi-Frobenius (cf. also [[Quasi-Frobenius ring|Quasi-Frobenius ring]]). Note that, if $\operatorname{ad} _ { q } \in L$, then $\operatorname{ad} _ { q }
4 KB (655 words) - 16:46, 1 July 2020
..., $z^*=x-iy$ are introduced instead of the coordinates $x,y$ in the plane; note that the Laplace potential operator (cf. [[Laplace operator|Laplace operato
4 KB (623 words) - 15:18, 14 February 2020
Note that if $n=m$ the formula reduces to
4 KB (615 words) - 16:20, 24 November 2012
Note that the maximum-likelihood estimator is an M-estimator, obtained by puttin
...} ( - b , x ) )$. This $\psi_b$ has come to be known as Huber's function. Note that when $b \downarrow 0$, this M-estimator tends to the median (cf. also
13 KB (1,756 words) - 17:42, 1 July 2020
...are mappings preserving $\otimes$, arbitrary $\vee$, and $\top$; and also
note that $\mathbf{FRM}$ and $\textbf{SFRM}$ embed into <img align="absmiddle" b
13 KB (1,886 words) - 17:28, 25 November 2023
...with $w=abcba$. One can produce the following sequence of transformations. Note that the starting tableau has the "reading property" mentioned above.
5 KB (732 words) - 20:14, 9 November 2023
...</TD></TR><TR><TD valign="top">[2]</TD> <TD valign="top"> D.W. Babbage, "A note on the quadrics through a canonical curve" ''J. London. Math. Soc.'' , '''1
4 KB (609 words) - 08:02, 6 June 2020
...s $p$-semi-simple if $X = X_p$, and $X$ is a BCK-algebra if $X_p = \{0\}$. Note that for a $p$-semi-simple BCI-algebra, the closed ideals are precisely the
5 KB (790 words) - 02:33, 15 February 2024