symmetrization sentence in Hindi
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- Where the semicolon represents a covariant derivative, and the brackets denote anti-symmetrization.
- This process is known as symmetrization.
- This identity is equivalent the following classical relations, the first of which is the symmetrization relation of Plemelj:
- Then define the word metric with respect to S to be the word metric with respect to the symmetrization of S.
- After an application of Jensen's inequality different signs could be introduced ( hence the name symmetrization ) without changing the expectation.
- Where C _ { abcd } is the Weyl tensor, the semicolon denotes the covariant derivative, and the subscripted parentheses indicate symmetrization.
- However, the tensor T is not yet totall anti-symmetric, in fact the anti-symmetrization will lead to the Nijenhuis tensor.
- The proof of the ( first part of ) VC inequality, relies on symmetrization, and then argue conditionally on the data using concentration inequalities ( in particular Hoeffding's inequality ).
- When symmetrization or anti-symmetrization is unnecessary, " N "-particle spaces of states can be obtained simply by tensor products of one-particle spaces, to which we will return later.
- When symmetrization or anti-symmetrization is unnecessary, " N "-particle spaces of states can be obtained simply by tensor products of one-particle spaces, to which we will return later.
- When applying a rule to a number of indices ( differentiation, symmetrization etc ., shown next ), the bracket or punctuation symbols denoting the rules are only shown on one group of the indices to which they apply.
- The proof of the Symmetrization lemma relies on introducing independent copies of the original variables X _ i ( sometimes referred to as a " ghost sample " ) and replacing the inner expectation of the LHS by these copies.
- A typical way of proving empirical CLTs, first uses symmetrization to pass the empirical process to \ mathbb { P } _ n ^ 0 and then argue conditionally on the data, using the fact that Rademacher processes are simple processes with nice properties.
- The symmetrization of a symmetric map is its double, while the symmetrization of an alternating map is zero; similarly, the anti-symmetrization of a symmetric map is zero, while the anti-symmetrization of an anti-symmetric map is its double.
- The symmetrization of a symmetric map is its double, while the symmetrization of an alternating map is zero; similarly, the anti-symmetrization of a symmetric map is zero, while the anti-symmetrization of an anti-symmetric map is its double.
- The symmetrization of a symmetric map is its double, while the symmetrization of an alternating map is zero; similarly, the anti-symmetrization of a symmetric map is zero, while the anti-symmetrization of an anti-symmetric map is its double.
- The symmetrization of a symmetric map is its double, while the symmetrization of an alternating map is zero; similarly, the anti-symmetrization of a symmetric map is zero, while the anti-symmetrization of an anti-symmetric map is its double.
- The next deeper, " third stratum " is one where different classes are identified ( thus containing a fair amount of asymmetrical thinking ) but in which . . . parts of a class are always taken as the whole class symmetrization ( plus a degree of timelessness ).
- Finally, the deepest, " fifth stratum " is that in which processes of symmetrization tend towards the mathematical limit of " indivisibility " thinking, which requires asymmetrical relations, is greatly impaired and becomes the realm of psychotic functioning : without asymmetrical logic, play breaks down into delusion.
- K, K are constants, square brackets in indices U _ { [ \ alpha, \ mu ] } represent anti-symmetrization, \ lambda is a Lagrange multiplier ( calculated elsewhere ), and is a Lagrangian translated from flat spacetime onto the metric \ tilde g ^ { \ alpha \ beta }.
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