Search results
Jump to navigation
Jump to search
- ...or, it holds that <math>\sum_{i=1}^dY_i^2=\|Y\|^2=1</math>. And due to the symmetry, all <math>\mathbf{E}[Y_i^2]</math>'s are equal. Thus, <math>\mathbf{E}[Y_i &\quad \text{(symmetry)}\\ ...14 KB (2,413 words) - 15:11, 12 May 2013
- ...or, it holds that <math>\sum_{i=1}^dY_i^2=\|Y\|^2=1</math>. And due to the symmetry, all <math>\mathbf{E}[Y_i^2]</math>'s are equal. Thus, <math>\mathbf{E}[Y_i &\quad \text{(symmetry)}\\ ...14 KB (2,413 words) - 02:32, 25 November 2011
- ...her <math>|S|\ge R(k,\ell-1)</math> or <math>|T|\ge R(k-1,\ell)</math>. By symmetry, suppose <math>|S|\ge R(k,\ell-1)</math>. By induction hypothesis, the comp By the choice of <math>n</math> and by symmetry, there exists a subset <math>S\subseteq[n-1]</math> with <math>|X|=R_t(k-1, ...23 KB (4,275 words) - 12:28, 1 December 2010
- ...v_3-v_2,\ldots, v_z-v_{z-1}, 1-v_z</math> are identically distributed. By symmetry, they have the same expectation, therefore As in the case of single hash function, by symmetry it holds that <math>\mathbb{E}[Y_j]=\frac{1}{z+1}</math> for every <math>j= ...25 KB (4,512 words) - 07:51, 29 September 2020
- ...v_3-v_2,\ldots, v_z-v_{z-1}, 1-v_z</math> are identically distributed. By symmetry, they have the same expectation, therefore As in the case of single hash function, by symmetry it holds that <math>\mathbb{E}[Y_j]=\frac{1}{z+1}</math> for every <math>j= ...25 KB (4,512 words) - 06:13, 9 September 2021
- ...v_3-v_2,\ldots, v_z-v_{z-1}, 1-v_z</math> are identically distributed. By symmetry, they have the same expectation, therefore As in the case of single hash function, by symmetry it holds that <math>\mathbb{E}[Y_j]=\frac{1}{z+1}</math> for every <math>j= ...25 KB (4,512 words) - 09:09, 20 September 2018
- ...v_3-v_2,\ldots, v_z-v_{z-1}, 1-v_z</math> are identically distributed. By symmetry, they have the same expectation, therefore As in the case of single hash function, by symmetry it holds that <math>\mathbb{E}[Y_j]=\frac{1}{z+1}</math> for every <math>j= ...25 KB (4,512 words) - 05:52, 16 September 2019
- ...v_3-v_2,\ldots, v_z-v_{z-1}, 1-v_z</math> are identically distributed. By symmetry, they have the same expectation, therefore As in the case of single hash function, by symmetry it holds that <math>\mathbb{E}[Y_j]=\frac{1}{z+1}</math> for every <math>j= ...25 KB (4,512 words) - 15:48, 3 October 2022
- ...en_and_odd_functions|even function]] so the ''y''-axis is an [[axis]] of [[symmetry]] for every constant function. ...7 KB (1,037 words) - 22:13, 9 August 2014
- ...her <math>|S|\ge R(k,\ell-1)</math> or <math>|T|\ge R(k-1,\ell)</math>. By symmetry, suppose <math>|S|\ge R(k,\ell-1)</math>. By induction hypothesis, the comp By the choice of <math>n</math> and by symmetry, there exists a subset <math>S\subseteq[n-1]</math> with <math>|X|=R_t(k-1, ...25 KB (4,530 words) - 12:14, 29 May 2024
- ...her <math>|S|\ge R(k,\ell-1)</math> or <math>|T|\ge R(k-1,\ell)</math>. By symmetry, suppose <math>|S|\ge R(k,\ell-1)</math>. By induction hypothesis, the comp By the choice of <math>n</math> and by symmetry, there exists a subset <math>S\subseteq[n-1]</math> with <math>|X|=R_t(k-1, ...25 KB (4,530 words) - 12:14, 26 May 2023
- ...l point of view, the energy conservation law is a consequence of the shift symmetry of [[time]]; energy conservation is a result of the empirical fact that the ...6 KB (881 words) - 09:41, 15 August 2017
- ...<math>\mathcal{E}_3'</math> occurs; the second will have the same bound by symmetry. ...10 KB (1,840 words) - 03:10, 19 July 2011
- Due to the symmetry. All <math>X_i</math> have the same distribution. ...11 KB (2,062 words) - 05:21, 29 September 2021
- Due to the symmetry. All <math>X_i</math> have the same distribution. ...11 KB (2,062 words) - 04:38, 24 September 2019
- ...or, it holds that <math>\sum_{i=1}^dY_i^2=\|Y\|^2=1</math>. And due to the symmetry, all <math>\mathbf{E}[Y_i^2]</math>'s are equal. Thus, <math>\mathbf{E}[Y_i &\quad \text{(symmetry)}\\ ...26 KB (4,623 words) - 08:28, 31 March 2014
- ...or, it holds that <math>\sum_{i=1}^nY_i^2=\|Y\|^2=1</math>. And due to the symmetry, all <math>\mathbf{E}[Y_i^2]</math>'s are equal. Thus, <math>\mathbf{E}[Y_i &\quad \text{(symmetry)}\\ ...31 KB (5,481 words) - 03:52, 9 November 2010
- which by independence between different hash functions and by symmetry is equal to: ...v_3-v_2,\ldots, v_z-v_{z-1}, 1-v_z</math> are identically distributed. By symmetry, they have the same expectation, therefore ...48 KB (8,716 words) - 08:15, 15 October 2023
- # (symmetry) <math>d(x,y)=d(y,x)</math> ...16 KB (2,826 words) - 07:51, 21 October 2023
- # (symmetry) <math>d(x,y)=d(y,x)</math> ...16 KB (2,826 words) - 06:50, 11 October 2020