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  • ...metry]] of [[molecule]]s. It puts molecules into groups according to their symmetry. It can [[predict]] or explain many of a molecule's [[chemical property|che ...s are made up and how [[chemical reaction|chemicals react]]. The molecular symmetry of the [[reactant]]s help predict how the product of the reaction is made u ...
    19 KB (2,913 words) - 21:36, 4 November 2015

Page text matches

  • * Symmetry breaking ...
    197 bytes (22 words) - 16:21, 31 December 2009
  • |bgcolor=#e7dcc3|[[Symmetry group]]||[[Dihedral symmetry|Dihedral]] (D<sub>20</sub>) ...
    1,016 bytes (144 words) - 10:40, 12 March 2013
  • === Symmetry breaking === ...
    2 KB (343 words) - 09:13, 12 January 2011
  • Another important example of a group is a group of [[symmetry|symmetries]]. Each symmetry of an object is an element of the group. ...
    6 KB (1,063 words) - 03:41, 3 March 2017
  • *It has [[rotational symmetry]] of order 2 *It has two lines of symmetry ...
    3 KB (366 words) - 03:55, 18 October 2016
  • ...y exist in the electric field. Examples include spherical and cylindrical symmetry. Otherwise, the calculations are too hard to do by hand and must be worked ...
    2 KB (377 words) - 16:57, 12 March 2013
  • ...metry]] of [[molecule]]s. It puts molecules into groups according to their symmetry. It can [[predict]] or explain many of a molecule's [[chemical property|che ...s are made up and how [[chemical reaction|chemicals react]]. The molecular symmetry of the [[reactant]]s help predict how the product of the reaction is made u ...
    19 KB (2,913 words) - 21:36, 4 November 2015
  • ...omogeneous binary relations are studied for properties like reflexiveness, symmetry, and transitivity which determine different kinds of orderings on the set. Relations can be [[symmetry|symmetric]]. One example of a symmetric relation is "is equal to". If X "is ...
    4 KB (674 words) - 06:35, 19 August 2017
  • ...e definition of the term is best understood for square matrices that are [[symmetry|symmetrical]], also known as [[Hermitian]] matrices. ...
    1 KB (191 words) - 08:32, 11 June 2013
  • ...point. Any [[ray]] that enters the parabola and is parallel to the axis of symmetry will pass through this point after being reflected by the curve. Because of ...
    2 KB (308 words) - 18:29, 1 November 2016
  • ...wing tables lists some properties of the six convex regular polychora. The symmetry groups of these polychora are all [[Coxeter group]]s and given in the notat !colspan=2 | [[Coxeter group|Symmetry group]] ...
    8 KB (1,007 words) - 05:56, 15 September 2016
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    4 KB (747 words) - 00:56, 19 September 2011
  • ...ate a part of its energy as a spherical wave. <br/>If atoms are arranged [[symmetry|symmetrically]] with a separation ''d'', these spherical waves will add up ...
    3 KB (505 words) - 10:29, 9 May 2017
  • ...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, ...
    16 KB (2,818 words) - 11:51, 5 June 2013
  • ...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, ...
    16 KB (2,818 words) - 01:52, 4 December 2016
  • ...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, ...
    16 KB (2,818 words) - 05:42, 11 December 2019
  • ...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, ...
    16 KB (2,818 words) - 07:52, 21 May 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, ...
    16 KB (2,818 words) - 11:41, 10 December 2017
  • ...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, ...
    16 KB (2,818 words) - 12:03, 15 December 2015
  • ...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, ...
    17 KB (3,025 words) - 11:53, 21 November 2011
  • ...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
  • ...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
  • ...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) - 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
  • ...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
  • ...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, 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) - 13:47, 26 October 2021
  • # (symmetry) <math>d(x,y)=d(y,x)</math> ...
    16 KB (2,826 words) - 04:18, 24 October 2019
  • # (symmetry) <math>d(x,y)=d(y,x)</math> ...
    16 KB (2,826 words) - 09:32, 24 October 2022
  • # (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
  • ...e helpful to construct an artificial quantum system that breaks the parity symmetry and that can be prepared in a superposition of two chiral states. Here we r ...
    24 KB (1,651 words) - 02:56, 12 March 2024
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    21 KB (3,854 words) - 09:28, 16 September 2020
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    21 KB (3,854 words) - 05:30, 20 September 2017
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    21 KB (3,854 words) - 09:32, 16 September 2020
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    21 KB (3,854 words) - 02:21, 19 September 2018
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    21 KB (3,868 words) - 05:58, 26 November 2016
  • ...it guarantees the transitivity of the relation, while the reflexivity and symmetry hold directly). Graph <math>G</math> must be a complete multipartite graph ...
    18 KB (3,527 words) - 05:10, 9 November 2016
  • ...it guarantees the transitivity of the relation, while the reflexivity and symmetry hold directly). Graph <math>G</math> must be a complete multipartite graph ...
    18 KB (3,527 words) - 05:55, 12 November 2019
  • ...it guarantees the transitivity of the relation, while the reflexivity and symmetry hold directly). Graph <math>G</math> must be a complete multipartite graph ...
    18 KB (3,527 words) - 08:55, 4 May 2023
  • ...it guarantees the transitivity of the relation, while the reflexivity and symmetry hold directly). Graph <math>G</math> must be a complete multipartite graph ...
    18 KB (3,527 words) - 06:10, 22 November 2017
  • ...it guarantees the transitivity of the relation, while the reflexivity and symmetry hold directly). Graph <math>G</math> must be a complete multipartite graph ...
    19 KB (3,541 words) - 07:47, 25 December 2015
  • ...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)}\\ ...
    50 KB (9,096 words) - 06:09, 8 December 2015
  • ...it guarantees the transitivity of the relation, while the reflexivity and symmetry hold directly). Graph <math>G</math> must be a complete multipartite graph ...
    21 KB (3,921 words) - 08:23, 13 November 2010
  • ...it guarantees the transitivity of the relation, while the reflexivity and symmetry hold directly). Graph <math>G</math> must be a complete multipartite graph ...
    21 KB (3,922 words) - 01:04, 3 November 2011
  • ...it guarantees the transitivity of the relation, while the reflexivity and symmetry hold directly). Graph <math>G</math> must be a complete multipartite graph ...
    21 KB (3,922 words) - 10:31, 16 April 2014
  • ...it guarantees the transitivity of the relation, while the reflexivity and symmetry hold directly). Graph <math>G</math> must be a complete multipartite graph ...
    21 KB (3,922 words) - 08:56, 20 May 2013
  • ...sts]]. Cheletropic reactions confirm the conservation of molecular orbital symmetry. ...
    13 KB (2,026 words) - 03:33, 17 October 2014
  • ...<math>\mathcal{E}_3'</math> occurs; the second will have the same bound by symmetry. ...
    22 KB (3,809 words) - 05:34, 19 March 2014
  • ...<math>\mathcal{E}_3'</math> occurs; the second will have the same bound by symmetry. ...
    24 KB (4,172 words) - 15:38, 19 March 2013
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    26 KB (4,811 words) - 10:33, 11 March 2013
  • ...<math>x</math> be uniformly chosen from <math>S</math>. '''Because of the symmetry''', we can assume that the access sequence <math>\rho</math> is just <math> ...
    25 KB (4,263 words) - 08:43, 7 June 2010
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    26 KB (4,614 words) - 07:53, 10 March 2014
  • ...<math>\mathcal{E}_3'</math> occurs; the second will have the same bound by symmetry. ...
    30 KB (5,292 words) - 07:49, 3 August 2011
  • ...<math>\mathcal{E}_3'</math> occurs; the second will have the same bound by symmetry. ...
    29 KB (5,238 words) - 05:34, 13 November 2015
  • * To break symmetry. ...
    22 KB (3,591 words) - 03:54, 17 February 2014
  • * To break symmetry. ...
    22 KB (3,591 words) - 10:45, 4 March 2013
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    30 KB (5,405 words) - 09:12, 17 September 2015
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    34 KB (5,979 words) - 13:52, 20 September 2010
  • Due to the symmetry. All <math>X_i</math> have the same distribution. ...
    38 KB (6,912 words) - 15:45, 3 October 2022