Sentence examples for matrix with unity from inspiring English sources
where is a diagonal matrix with unity at place and all other elements are equal to zero.
The Eigentrust metric requires the trust network to be a stochastic matrix (i.e. the sum of the trust values of the out-edges of all vertices must sum to unity) and the inferred trust values are given by the steady state distribution of the corresponding Markov chain (i.e. the left eigenvector of the stochastic matrix with unity eigenvalue, hence the name of the metric).
\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\underline{{\underline{I}} $$\end{document} is the unity matrix (here a 3 × 3 matrix with "1" on the diagonal and "0" on the off-diagonals).
When A is an irreducible matrix and a zero matrix with order 1, for unity, denote A = [ A 11 ], where n 1 = n and N 1 = N. Denote α = ⋃ n t ≥ 2, 1 ≤ t ≤ K N t, θ A = { a i i A ∣ i ∈ N ∖ α }.
The filtered and normalized double-mutant fitness data matrix, with median close to unity, was used in the matrix approximation procedure.
If J is an eigenvector of C with the eigenvalue λ, Eq. (11), together with the inequalities (12), shows that ∣I∣≤∣J∣, and normalising the column matrix J to unity, i.e. ∣J∣ = 1, ∣I∣ equals λ.
To simulate a single frame of speckle, we start from a zero-filled matrix of size L by L, containing a smaller square area of size L' by L' which contains complex numbers with unity amplitude and randomly distributed phase, on a uniform distribution between 0 and 2π.
where B ∗ is an orthogonal matrix consisting of mutually orthogonal column vectors, the superscript T stands for transpose, and L is a lower triangular matrix with all its diagonal elements being equal to unity, namely, L = 1 l 21 1 l 31 l 32 1 ⋮ ⋮ ⋮ ⋱ l m 1 l m 2 l m 3 … 1. (6b).
Libyans must fight against terrorism with unity".
Worked with Unity Technolgies.
