Elsevier dx.doi.org ResearchGate zentralblatt-math.org AMS 查看更多 相似文献 参考文献 引证文献Method and apparatus for decoding code words protected wordwise by a non- binary BCH code from one or more symbol errors A method and apparatus for decoding code words which are error protected by a ...
x∈R, w>0, where by the symbol fr,w we briefly denote the Steklov-type integrals defined in (2.1) with h=1/w, for any locally integrable function f:R→R for which the above series are convergent. First, we can observe that the above sampling-type series are well-defined for every...
A criterion is given for a Hankel operator , where is the orthogonal projection of onto ) to belong to the Schatten-von Neumann class in terms of its symbol . Various applications are considered: a precise description is obtained for cla... Peller,V V - 《Mathematics of the Ussr Sbornik》...
In the given note, we present the Durrmeyer modification of Lupa type operators having Pochhammer \\(k-\\) symbol. We study convergence, asymptotic result and error of approximation in terms of first order modulus of continuity for these operators. Also, we estimate the approximation behavior ...
The symbol \(\odot\) is the Hadamard element-wise product, i.e., \({\mathbf{u}} \odot {\mathbf{v}} = \left[ {{\text{u}}_{1} {\text{v}}_{1} , \ldots ,{\text{u}}_{N} {\text{v}}_{N} } \right]^{T}\). The superscript \(T\) denotes the transpose operator....
Operations with Radicals Algebra I ~ Unit 11 Addition and Subtraction of Radicals When adding or subtracting radicals, you must use the same concept as that of adding or subtracting “like terms.” In other words, the radicals must be the same before you add or subtract them. ...
In a classical VAE model, the objective is to maximize the Evidence Lower BOund (ELBO): $${{{\mathcal{L}}}({{{\boldsymbol{\phi }}},{{{\boldsymbol{\theta }}})={{\mathbb{E}}}_{{q}_{{{\boldsymbol{\phi }}}({{{\boldsymbol{z}}}| {{{\boldsymbol{x}}})}[\log {p}_...
in order to be represented by the same symbol. A smallertolmeans that more polygonal pieces are used and the polygonal chain approximation is more accurate; but on the other hand, it will increase the length of the string representation. A smalleralphatypically results in a larger number of ...
In the above two relations, the symbol [Math Processing Error] denotes a two-sided inequality with positive constants independent of f and j. Note that estimate (17) follows from Theorems 16 and 17 and the fact that [Math Processing Error] (19) The proof of relations (19) can be found...
To avoid ambiguities, we note that we refer to the maximum cell volume in the cells that make up the rounding grid by the symbol Δ¯ and the term grid constant. If the operator K exhibits sufficient compactness properties, namely if it maps weakly convergent sequences to norm convergent ...