Your English writing platform
Discover LudwigExact(3)
Unless otherwise explicitly stated, j n denotes element (j,n) and j denotes column j of a matrix or the j th element of a vector.
where Δωi is the change of the ωi mode angular frequency, Δθ is the variation of the angle θ, γ is a constant, α is a bond force constant and m x denotes element mass.
where N=[0,1,2,…,N−1] denotes element number of FDA radar, and O represents for the high order terms about ρ, which can be ignored for Equation 15.
Similar(56)
where ⊙ denotes element-wise multiplications.
The symbol.∗ denotes element-wise multiplication.
where 1 is an all-one matrix and.∗ denotes element-wise multiplication, respectively.
where, is the average of elements in, denotes Euclidean norm, denotes element-wise multiplication, and (18).
where ⊗ denotes element-wise matrix multiplication (often called the Hadamard product) and subsequent summation.
where 1 is a column vector consisting of 1s, and × denotes element-wise multiplication between two matrices.
where A is a D × K mixing matrix, E is a D × T Gaussian noise term, and Z is a binary mask on X. ⊙ denotes element-wise multiplication.
The joint matrix H is estimated based on NMF with the sparse constraint that minimizes the following cost function [4]: begin{array}rcl@ d(mathbf{X}, mathbf{A}mathbf{H}) + || left({mathbf lambda}{mathbf 1}^{(1times L }right).* mathbf{H} ||_{1} ~~~~s.t.~~~~mathbf{H} geq 0. end{array} (3)..∗ denotes element-wise multiplication.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com