$$x'=x,\quad y'=ky,\quad k>0.$$
$$x'=x,\quad y'=y,\quad z'=kz,\quad k>0.$$
715 bytes (114 words) - 07:14, 23 August 2014
$$x=a\cos t,\quad y=\pm\sqrt{b^2-a^2\sin^2t},\quad z=a\sin t,\quad b\geq a,$$
379 bytes (73 words) - 09:40, 5 August 2014
$$\sin x=x+o(x^2),\quad x\to0;$$
$$\cos x=1+O(x^2),\quad x\to0;$$
814 bytes (130 words) - 19:15, 7 July 2014
$$m_j=\overline{m_{-j}},\quad\sum_{-l}^{+l}m_j\lambda^j\leq0,\quad|\lambda|=1;$$
298 bytes (54 words) - 16:36, 13 November 2014
$$B_n: \quad \left\| \begin{array} { r r r r r r }
$$D_n: \quad \left\| \begin{array} { r r r r r r r }
5 KB (334 words) - 11:03, 3 November 2019
a+b=b+a,\quad \text{ and } \quad ab=ba.
427 bytes (66 words) - 22:17, 26 October 2014
$$p^0=1,\quad p^1=\dotsb=p^{n-1}=0,\quad p^n=1;$$
$$p^0=1,\quad p^1=p^2=0;$$
1 KB (172 words) - 13:05, 14 February 2020
\ \ \,\,1\quad \text{if } x>0,\\
\ \ \,\,0\quad \text{if } x=0,\\
630 bytes (102 words) - 15:41, 23 November 2012
$$A\supset(B\supset A),\quad(A\supset(B\supset C))\supset((A\supset B)\supset(A\supset C)),$$
$$A\&B\supset A,\quad A\&B\supset B,\quad A\supset(B\supset A\&B),$$
2 KB (246 words) - 08:00, 12 August 2014
$$x'=x+ky,\quad y'=y,\quad k\ne 0.$$
$$x'=x+ky,\quad y'=y,\quad z'=z,\quad k\ne 0.$$
1 KB (209 words) - 18:28, 21 December 2016
(Lu)(x) = f(x), \quad x\in D,
(Bu)(y) = \phi(y), \quad y\in S.
471 bytes (78 words) - 21:19, 2 May 2012
...align="center"><nowiki>{{User:Ulf Rehmann/sandbox/MSC|20G15|}}</nowiki>${\quad}^{(*)}$</td><td align="center">{{User:Ulf Rehmann/sandbox/MSC|20G15|}} </t
...td><td align="center">{{User:Ulf Rehmann/sandbox/MSC|20G15|14L10,14F35}} $\quad^{(**)}$</td></tr>
3 KB (508 words) - 20:57, 20 January 2012
$$a \cdot x = b \quad;\quad\quad y \cdot a = b $$
1 KB (170 words) - 17:50, 28 December 2013
$$z=f(w),\quad g(w)=\sum_{n=0}^\infty b_nw^n.$$
$$z=f(w)=\frac{1-\sqrt{1-w}}{1+\sqrt{1+w}},\quad w=\frac{4z}{(1+z)^2},\quad g(w)=\frac{1}{\sqrt{1-w}}.$$
1 KB (199 words) - 21:48, 18 October 2014
$$x=\phi(t),\quad t\leq t_0,$$
$$f\in C^{m,n,n},\quad\alpha,\beta\in C^m,\quad\phi\in C^p,\quad m,n\geq0,p\geq1,$$
1 KB (232 words) - 15:01, 14 February 2020
$$\dot x=A(t)x,\quad t\in\mathbf R,\quad x\in\mathbf R^n,$$
550 bytes (90 words) - 17:01, 12 August 2014
...Diamond A,\quad\Box\Diamond\Box A,\quad\neg\Box A,\quad\neg\Box\Diamond A,\quad\neg\Box\Diamond\Box A,$$
2 KB (334 words) - 00:10, 25 November 2018
...cdot a^m = a^{n+m},\quad (ab)^n = a^n b^n,\quad \frac{a^n}{a^m} = a^{n-m},\quad (a^n)^m = a^{nm}.$$
1,020 bytes (193 words) - 21:50, 31 December 2015
f(b)-f(a)=f'(\xi)(b-a),\quad a<\xi<b.
f(x+\Delta x)-f(x)=f'(x+\theta\Delta x)\Delta x,\quad 0<\theta<1.
2 KB (312 words) - 08:41, 28 April 2016
$$t=\arccos x\quad\text{for }|x|<1,$$
$$t=\operatorname{Arcosh}|x|\quad\text{for }|x|>1$$
1 KB (219 words) - 19:57, 21 November 2018
$$n=0,1,\ldots,\quad m=1,2,\ldots.$$
$$B_0=1,\quad B_1=-\frac12,\quad B_2=\frac16,\quad B_3=0,$$
4 KB (684 words) - 18:44, 5 October 2023
$$\forall xA(x)\supset A(t),\quad A(t)\supset\exists xA(x)$$
$$\frac{C\supset A(a)}{C\supset\forall xA(x)},\quad\frac{A(a)\supset C}{\exists xA(x)\supset C}$$
713 bytes (113 words) - 08:11, 12 August 2014
...ll y \exists z (x \le z \& z \le y), \quad \exists z(1 \le z \& z \le 4), \quad 1 \le 2\]
\[\exists z(x \le z \& z \le y), \quad z \le 1\]
1 KB (203 words) - 05:16, 21 June 2013
$$f^{(k)}(x_0)=P_n^{(k)}(x_0),\quad k=0,\dotsc,n.$$
...style="width:94%;text-align:center;">$f(x)-P_n(x)=o\left((x-x_0)^n\right),\quad x\to x_0,$</td> <td valign="top" style="width:5%;text-align:right;">(*)</td
1 KB (233 words) - 17:01, 16 March 2013
$$ \phi_i(t) = \{ \phi_i^1(t), \ldots , \phi_i^n(t) \}, \quad i = 1, \ldots, n \tag{1} \label{eq-1} $$
W ( \phi _{1} (t), \dots, \phi _{n} (t) ) \quad \equiv \quad 0,\quad\quad
6 KB (889 words) - 12:21, 19 March 2023
$$f(x_0+h)-f(x_0)=o\left(\frac{1}{\log1/|h|}\right),\quad|h|\to+0,$$
$$a_n,b_n=O(n^{-\delta}),\quad n\to+\infty,$$
861 bytes (143 words) - 17:25, 19 September 2014
$$\cos z=\frac{e^{iz}+e^{-iz}}{2},\quad\sin z=\frac{e^{iz}-e^{-iz}}{2i}.$$
$$\cos x=\frac{e^{ix}+e^{-ix}}{2},\quad\sin x=\frac{e^{ix}-e^{-ix}}{2i}$$
1 KB (171 words) - 12:50, 10 August 2014
$$(R(g)f)(g_1)=f(g_1g),\quad g,g_1\in G,\quad f\in E,$$
$$(L(g)f)(g_1)=f(g^{-1}g_1),\quad g,g_1\in G,\quad f\in E,$$
2 KB (386 words) - 07:53, 30 November 2014
B(p,q) = \frac{q-1}{p+q-1}B(p,q-1), \quad q > 1.
B(p,1-p) = \frac{\pi}{\sin p\pi}, \quad 0 < p < 1.
1,009 bytes (161 words) - 17:31, 11 November 2023
$$0\leq x\leq1,\quad a>0,\quad b>0,$$
$$I_x(a,a)=\frac12I_{1-y}\left(a,\frac12\right),\quad y=4\left(x-\frac12\right)^2,\quad0<x\leq\frac12.$$
2 KB (393 words) - 15:50, 31 March 2017
$$\phi_{n+1}(x)=o(\phi_n(x)),\quad x\to x_0,\quad x\in M,$$
1,018 bytes (175 words) - 19:31, 13 April 2024
$$\dot x=f(x),\quad f\in C^1(G),\quad G\subset\mathbf R^n.$$
1 KB (167 words) - 15:27, 22 September 2014
$$x'=x-v_xt,\quad y'=y-v_yt,\quad z'=z-v_zt,\quad t'=t,$$
2 KB (317 words) - 16:38, 30 July 2014
$$x=f(t),\quad y=g(t),\quad z=h(t),$$
946 bytes (164 words) - 17:20, 30 July 2014
\text{div } \mathbf{v} = 0 \quad \text{or} \quad \frac{\partial v_x}{\partial x} + \frac{\partial v_y}{\partial y} + \frac{\
1 KB (175 words) - 12:28, 30 December 2018
$$\phi(x_1,\dots,x_n)=0,\quad\psi(x_1,\dots,x_n)=0$$
\begin{equation}\dot x_i(s)=Q_{\xi_i},\quad\dot\xi_i=-Q_{x_i},\quad i=1,\dots,n.\label{*}\end{equation}
3 KB (419 words) - 22:32, 10 December 2018
$$x=-f'(t),\quad y=-tf'(t)+f(t),\quad a<t<b;\label{2}\tag{2}$$
$$y=Cx+f(C),\quad C\in(a,b),\label{3}\tag{3}$$
3 KB (414 words) - 17:31, 14 February 2020
$$x=x(u),\quad y=y(u),\quad z=z(u),$$
1 KB (233 words) - 16:51, 8 April 2023
$$x=x(u),\quad y=y(u),\quad z=z(u),$$
1 KB (215 words) - 09:43, 15 August 2023
...d align="center"><nowiki>{{MSC|20G15|14L10,14F35,16K50,14F22}} </nowiki>${\quad}^{(*)}$</td><td align="center">{{MSC|20G15|14L10,14F35,16K50,14F22}} </td><
<tr><td align="center"><nowiki>{{MSCwiki8|14L10,14F35,16K50}} </nowiki>${\quad}^{(*)}$</td><td align="center">{{MSCwiki8|14L10,14F35,16K50}} </td></tr>
4 KB (595 words) - 09:59, 27 March 2015
$$\{x_i\}_0^{n+1}\subset Q,\quad a\leq x_0<x_1<\ldots<x_{n+1}\leq b,$$
2 KB (297 words) - 18:38, 26 September 2014
x ^ {( k ) } = x ( x - 1 ) \dots ( x - k + 1 ) , \quad k \geq 1,
} , \quad n \geq k \geq 1,
3 KB (372 words) - 22:15, 5 June 2020
$$x=f_1(t),\quad y=f_2(t),\quad z=f_3(t),$$
1 KB (238 words) - 17:50, 13 August 2023
$$x=a\cos t,\quad y=a\sin t,\quad z=ht,$$
$$x=ce^{mt}\cos t,\quad y=ce^{mt}\sin t,\quad z=ce^{mt}\operatorname{cotan}\alpha,$$
3 KB (537 words) - 15:42, 29 September 2014
(AB)_{ik} = \sum_{j=1}^n a_{ij} b_{jk}, \quad i=1,\ldots,m;\ \ j=1,\ldots,p.
(A \circ B)_{ij} = a_{ij} b_{ij}, \quad i=1,\ldots,m;\ \ j=1,\ldots,n.
2 KB (289 words) - 19:22, 11 November 2023
{\dot{x} } = f ( x ) , \quad x \in \mathbf R ^ {n} ,
{\dot{y} } = g ( y ) , \quad y \in \mathbf R ^ {n}
3 KB (414 words) - 19:37, 5 June 2020
$$\frac{1}{(q+1)^{n+1}}\sum_{k=0}^n\binom nkq^{n-k}S_k,\quad S_k=\sum_{n=0}^ka_n,$$
188 bytes (34 words) - 14:11, 23 July 2014
\[L(x_1)=f(x_1),\quad L(x_2)=f(x_2).\]
\[ f(x)-L(x)=\frac{f''(\xi)}{2}(x-x_1)(x-x_2),\quad \xi\in [x_1,x_2].\]
1 KB (234 words) - 21:21, 15 July 2012
$$f(x)=a(x-x_0)^n+o((x-x_0)^n),\quad a\neq0,$$
$$g(x)=b(x-x_0)^m+o((x-x_0)^m),\quad b\neq0;$$
2 KB (420 words) - 18:01, 3 August 2014
$$\lambda_{k+1}-\lambda_k>\theta\lambda_k,\quad k=0,1,\ldots,\quad \theta>0,$$
1 KB (203 words) - 06:24, 22 April 2012