[ \dots [ [ s, t ] , t ] \dots t ] \qquad (p \textrm{ closing brackets} ) .
5 KB (722 words) - 18:41, 5 October 2023
|f^{(n)} (x)| \leq C n! R^n \qquad \forall x\in ]x_0-\delta, x_0+\delta[\quad \forall n\in \mathbb N\, .
4 KB (710 words) - 06:13, 13 June 2022
\forall i,j=1,\dots,k\qquad [v_i,v_j]=\sum_{s=1}^k
4 KB (678 words) - 15:17, 1 May 2014
...{2} \right] \geq \frac{[1 + b'(\theta)]^{2}}{I(\theta)} + {b^{2}}(\theta) \qquad (1)
5 KB (824 words) - 10:31, 16 July 2021
1\qquad & \mbox{if } x\in E\\
4 KB (627 words) - 18:12, 2 December 2013
...'_j]=0,\qquad [e_i,e'_j]=\begin{cases}1,\quad &i=j,\\0,&i\ne j,\end{cases}\qquad \forall i,j=1,\dots,n.
[v,w]=(Iv,w),\qquad I=\begin{pmatrix} 0_n&-E_n\\E_n&0_n\end{pmatrix},\quad I=-I^*,\ I^2=-E_{2n}
30 KB (4,754 words) - 19:19, 14 November 2023
\sum_{j=1}^{n}\frac{\partial L}{\partial x_j}x_j = 0;&\qquad \frac{\partial L}{\partial x_j} \geq 0,& j=1,\ldots,n;\\
\sum_{i=1}^{k}\frac{\partial L}{\partial y_i}y_i = 0;&\qquad \frac{\partial L}{\partial y_i} \leq 0,\quad y_i\geq 0,& i=1,\ldots,k.
12 KB (2,034 words) - 09:14, 9 June 2016
\qquad\text{resp.,}\qquad
\mathbf f\sim\mathbf h'\iff\exists h:\ h\circ f_i=f_i'\circ h,\qquad \forall i=1,\dots,r.
37 KB (5,881 words) - 19:10, 24 November 2023
$$N=\prod f_p,\qquad L(X,s) = \prod L_p(X,s)$$
$$y^2=x^3+{\bar\alpha}x+{\bar\beta}\qquad ({\bar\alpha}\equiv\alpha \;{\rm mod}\; p,\; {\bar\beta}\equiv\beta\;{\rm m
19 KB (3,251 words) - 20:37, 19 September 2017
$$G_{\alpha,S}\times_S S_1 \simeq G_{\alpha,S_1},\qquad G_{m,S}\times_S S_1 \simeq G_{m,S_1}$$
5 KB (831 words) - 21:59, 5 March 2012
$$A_n = \sum_{p \le n} \frac{f(p)}{p}, \qquad B_n^2 = \sum_{p^\alpha \le n} \frac{f^2(p^\alpha)}{p^\alpha}, \tag{2}$$
$$\sum_{|g(p)| \ge 1} \frac 1p < \infty, \qquad \sum_{|g(p)|<1} \frac{g^2(p)}{p} < \infty.$$
10 KB (1,718 words) - 04:55, 8 August 2018
\sum_{n=j}^k |a_n| < \varepsilon \qquad \left(\mbox{resp. } \sum_{n=j}^k \|a_n\|_A < \varepsilon \mbox{ in a Banach
5 KB (821 words) - 09:35, 16 August 2013
H_\alpha\circ H_\beta^{-1}:(v,b)\mapsto (H_{\alpha\beta}(b,v),b),\qquad H_{\alpha\beta}(\cdot,b)\in\operatorname{Homeo}(F)
H_{\alpha\beta}\circ H_{\beta\alpha}=\operatorname{id},\qquad H_{\alpha\beta}\circ H_{\beta\gamma}\circ H_{\gamma\alpha}=\operatorname{id
32 KB (5,299 words) - 12:27, 12 December 2020
# $\qquad\vdots$
# $\qquad\ldots$
19 KB (2,851 words) - 07:04, 7 March 2024
\{x\in\mathbb R : a\leq x <b\} \qquad \mbox{where } -\infty \leq a <b\leq \infty
6 KB (884 words) - 09:36, 16 August 2013
(\Box + m^{2}) u(x) = 0, \qquad
...partial_{0}^{2} - \partial_{1}^{2} - \partial_{2}^{2} - \partial_{3}^{2}. \qquad (1)
35 KB (5,270 words) - 23:26, 6 December 2016
f (x^+) :=\lim_{y\downarrow x} f (y) \qquad f (x^-):= \lim_{y\uparrow x} f(y)
1 \qquad &\mbox{if } x=0\\
49 KB (8,072 words) - 20:25, 12 March 2020
\int_\gamma \tau \cdot v = 0\qquad \mbox{for every continuous and piecewise } C^1 \mbox{ closed loop } \gamma\
5 KB (824 words) - 09:41, 29 January 2014
\right] \qquad (\ast)
6 KB (1,020 words) - 17:41, 4 May 2017
|a_1|\leq|a_2|\leq\dots,\qquad\lim_{n\rightarrow\infty}a_n=\infty,
6 KB (980 words) - 18:47, 24 May 2017
\forall f_{1},\ldots,f_{n} \in \mathcal{S}(\mathbf{R}^{d}): \qquad
...ambda} \mathopen{:} {\Phi_{\kappa}^{4}}(x) \mathclose{:} ~ \mathrm{d}{x}, \qquad \lambda \geq 0,
15 KB (2,298 words) - 22:02, 7 November 2017
\nu (A) = \int_A f\, \rd\mu \qquad \text{for every } A\in\mathcal{B}.
6 KB (957 words) - 07:56, 15 December 2016
{\rm Pearson}\qquad\qquad (y-\mu) / \sqrt{V(\mu)}
{\rm deviance}\qquad\qquad {\rm sgn}(y-\mu) \sqrt{\rm deviance}
30 KB (4,314 words) - 13:25, 30 May 2016
\qquad\qquad
18 KB (2,674 words) - 19:09, 16 December 2019
...}=(N-2)\int\limits_Sf(y)\frac{\cos(y-y_0,n_0)}{|y-y_0|^{N-1}}\,d\sigma(y),\qquad y_0\in S,$$
7 KB (1,142 words) - 21:30, 1 January 2019
\left|\int_\alpha^\beta f(x)\, dx\right| < \varepsilon \qquad \forall \beta>\alpha> \eta\, .
7 KB (1,076 words) - 12:30, 7 July 2013
, \qquad X^{\epsilon}_0=y.
d x_t = b(x_t ) dt\;,\qquad x_0=y.
13 KB (2,280 words) - 10:48, 28 October 2023
\forall x=(a_1,\dots,a_n)\in A^n,\ \forall w=(w_1,\dots,w_n)\in V\qquad t_w x=(a_1+w_1,\dots,a_n+ w_n).
\forall v\in T_aA,\ \forall w\in V,\qquad \rd t_w(a)\cdot v=v\in T_{t_w(a)}=T_{a+w} A.
16 KB (2,769 words) - 08:44, 12 December 2013
\right\}\qquad\tag{1} \end{equation}$$
6 KB (1,055 words) - 08:14, 22 May 2012
...in{array} { l } { \frac { d ^ { 2 } u } { d t ^ { 2 } } + A u = f ( t ) , \qquad t \in [ 0 , T ], } \\ { u ( 0 ) = u _ { 0 } , \frac { d u } { d t } ( 0 ) =
10 KB (1,449 words) - 17:45, 1 July 2020
dx_i(v)=v(x_i),\qquad v\in T_m M.
8 KB (1,509 words) - 05:24, 22 May 2017
\dslash_A \psi = 0, \qquad F^+ = -\frac12 \overline{\psi} \Gamma \psi,
&\qquad \left. - \frac{i}{8} \phi [\chi_{\mu\nu}, \chi^{\mu\nu}]
16 KB (2,663 words) - 10:57, 13 February 2024
\mu (A\cap M) + \mu (A\setminus M) = \mu (A) \qquad \forall A\in \mathcal{R}\, .
9 KB (1,397 words) - 10:08, 16 August 2013
u(t)=u_0+u_1t+u^2\,t^2+\cdots+u_n\,t^n+\cdots,\qquad u_0,u_1,\dots,u_n\in\R.
7 KB (1,080 words) - 09:14, 12 December 2013
$$z \mapsto \frac{az+b}{cz+d}, \qquad z \in \mathbf{C}, \qquad \begin{bmatrix} a & b \\ c & d \end{bmatrix} \in \SL_2(\mathbf{R}).$$
20 KB (3,146 words) - 02:52, 23 July 2018
A:D\to Y, \qquad \text{where } D \subset X.
14 KB (2,265 words) - 17:06, 24 January 2020
...}{f - x \frac{\partial f}{\partial x} - y \frac{\partial f}{\partial y}}, \qquad
11 KB (1,916 words) - 00:44, 12 August 2019
\frac{\partial \phi}{\partial x} = \frac{\partial \psi}{\partial y} \qquad \frac{\partial \psi}{\partial x} = - \frac{\partial \phi}{\partial y}\, .
f (z) = \sum_n a_n (z-z_0)^n\, \qquad \forall z\in U
61 KB (9,850 words) - 19:04, 20 January 2022
$$\PSL_2(\F_4) \cong \PSL_2(\F_5),\qquad \PSL_2(\F_7)\cong\PSL_3(\F_2),$$
12 KB (1,991 words) - 18:05, 29 November 2014
\mu (A) := \mathcal{H}^\alpha (A\cap E) \qquad \mbox{for } A\subset X \;\, \mathcal{H}^\alpha\text{-measurable}
10 KB (1,546 words) - 09:43, 16 August 2013
$$A^TI_{p,q}A = I_{p,q}\qquad\textrm{ where }I_{p,q} = \begin{pmatrix}1_p & 0 \\ 0 & -1_q\end{pmatrix}$$
14 KB (2,418 words) - 18:20, 7 November 2014
...eft[ \frac{d^{p-n}}{dv^{p-n}} \ln(x+e^vy)\right]_{v=0} \equiv 0 \pmod{p}, \qquad
16 KB (2,596 words) - 09:27, 13 February 2024
\right\}\qquad\tag{a1} \end{equation}$$
15 KB (2,514 words) - 20:27, 15 November 2017
\qquad y=0,1,2,\ldots;\;\mu>0
19 KB (2,808 words) - 10:20, 10 March 2024
\tr [\cov(\BETAT)] \le \tr [\cov(\BETA^{*})] , \qquad
22 KB (3,535 words) - 16:20, 10 March 2024
\begin{equation}\label{zerofree}\zeta(s)\neq0\qquad\text{ if }\sigma\geq1-\frac{A}{\ln^\alpha(\lvert t\rvert+2)}\text{ with }\a
$$ \zeta(1+it)=O\left(\ln^{2/3}\lvert t\rvert\right),\qquad\frac{1}{\zeta(1+it)}=O\left(\ln^{2/3}\lvert t\rvert\right),\quad \lvert t\r
45 KB (7,251 words) - 02:20, 29 June 2022
\dot x = \frac{\partial H}{\partial \psi}, \qquad -\dot\psi = \frac{\partial H}{\partial x} , \\
28 KB (4,182 words) - 07:56, 16 April 2023
\rho_U(u_\delta,u_T) \leq \delta, \qquad
33 KB (5,246 words) - 00:23, 25 April 2012