With the formula of electric flux, the net charge that is enclosed in the surface can be calculated. This can be achieved by charge multiplication for the electron with the entire electrons that appear on the surface. Using this, the free space permittivity and the electric flux can be known...
It is shown that in Artin's characterization of Γ as the unique continuous function : R + → R + satisfying the functional equation ( F ): ( x + 1) = x ( x ) and the multiplication formula, the condition ( F ) can be replaced by a simple normalization. Related results are ...
Matrix multiplication is faster and uses less memory when X is a non-square matrix.New function dttostrc() converts DT Scalars to string dates with many new date formatting options.New function strctodt() converts string dates to DT Scalars with many new date formatting options....
∗ stands for the pointwise multiplication between vectors. We iterate the procedure, using (7) with [Math Processing Error]k=2, [Math Processing Error]0=λ(b.∗c)Tx=(b.∗c)TAx=(b.∗(\unicodex1D7D9−c2))T2x=bTx2−(b.∗c2)Tx2=(b.∗c2)Tx2. Using the same mechanism...
We propose a fomula that directly gives an estimate of the value of a Gaussian integral through only one multiplication. Using this formula, we may neglect about 60%–80% of integrals in quantum chemical ab initio calculations, without any loss in precision theoretically. Such a large molecule ...
where \(\textbf{u}_{e}^{j}\) is a local reference equilibrium state satisfying \(\textbf{f}(\textbf{u}_{e}^j(x))_x=\textbf{s}(\textbf{u}_{e}^{j}(x),x)\) on \(I_j\), whose definition is provided below, and the multiplication and division on the right-hand side must...
(33) at the knots \{{\tilde{x}}_i\}_{i=1}^{n+1}, and a multiplication of both sides by u({\tilde{x}}_i), leads to the square system \begin{aligned} \sum _{j=1}^{n+1} \left[ \delta _{i,j}- {\tilde{\lambda }}_j \frac{u({\tilde{x}}_i)}{u({\tilde{x}...
We set P = 0.75 in this experiment (which corresponds to ≈2 multiplication factor for the standard deviation of effective atoms) and averaged the resulting radii with the baseline radii calculated after the PCA-based alignment. This approach seems to work well for all test cases. It yields ...
Inspired by the computation of one and two dimensional image moments,a newfast computationalgorithm is proposed,which realizes multi-nest by multiplication of matrices. 受一维和二维图像矩的计算启发,提出了一种新的快速计算方法,利用矩阵相乘实现多重循环。