basis element sentence in Hindi
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- In a problem with combinatorial dimension, the violation test in the th iteration of the algorithm fails only when is one of the } } remaining basis elements, which happens with probability at most ) / " i " } }.
- A given resolution cell s time-bandwidth product may not be exceeded with the STFT . All STFT basis elements maintain a uniform spectral and temporal support for all temporal shifts or offsets, thereby attaining an equal resolution in time for lower and higher frequencies.
- In the Clifford algebra C ! 4, 0 ( "'R "'), there are six bivector basis elements, since with four different basic vector directions, six different pairs and therefore six different linearly independent planes can be defined.
- The key feature here is that the paths form a basis for the root operators like that of a monomial representation : when a root operator is applied to the basis element for a path, the result is either 0 or the basis element for another path.
- The key feature here is that the paths form a basis for the root operators like that of a monomial representation : when a root operator is applied to the basis element for a path, the result is either 0 or the basis element for another path.
- Since a given vector " v " is a " finite " linear combination of basis elements, the only nonzero entries of the coordinate vector for " v " will be the nonzero coefficients of the linear combination representing " v ".
- The proof of the theorem involves noting if one starts with out-of-order basis elements, these can always be swapped by using the commutator ( together with the structure constants ), and that the final result is independent of the order in which the swaps were performed.
- Since moduli A _ { i } are defined by J = A _ { i } \ omega _ { i } and " J " must transform as listed above under \ sigma, only those moduli paired with 2-form basis elements of the correct parity under \ sigma survive.
- Finite element methods can be defined per mesh or per element and they include a wide range of options like classical Lagrange elements P k and Q k of arbitrary dimension and degree k, Hermite and Argyris elements, discontinuous P k and Q k elements, vectorial and hierarchical basis elements as well as XFEM elements.
- (where " e " " n " is the " n " th elementary symmetric function ) uniquely extends to a ring homomorphism and the images of the basis elements u _ \ lambda may be interpreted via the Schur functions, which are thus closely connected with the theory of Hall polynomials.
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