Sentence examples for vector with all from inspiring English sources
where e is a column vector with all entries 1.
Let υ be a vector with all components 1.
We denote the vector with all elements 0 by (e_{0}), and the vector with all elements 1 by (e_{1}) in what follows.
Let us denote by 1 the length-n vector with all coordinates equal to 1.
1 L represents the L × 1 vector with all elements being ones.
where is an vector and is a vector with all elements equal to zero.
The vector with all-ones is defined by 1 with suitable length.
Similarly, the transition probabilities of C2 form the state transition matrix Π 2. After M steps starting from (0,0) with transition matrix Π 1, the probability that the system is in state i is equal to the ith element of (mathbf {e}_{1n}{Pi _{1}^{M}}), where e 1n is a length-n (left (n=frac {(M+1)(M+2)}{2}right)) row vector with all-zero elements except the first element being a 1.
for x ∈ A satisfying the sequences (5.4) and (5.5), where M i T, C i n T and G i n T ; ∀ n ∈ N 0 are the i th row of the matrices M, C n and G n T ; ∀ n ∈ N 0 respectively; x i n and m i are the i th components of x n ; ∀ n ∈ N 0 and m, respectively; 1 is a Euclidean p-vector with all its components being one.
This is a simple eigenvalue pair, with real eigenspace (again by Example 1) consisting of vectors with all E cells synchronized and all I cells synchronized.
In our numerical experiments, we choose the zero vector as the initial guess and take the right-hand-side vector b so that the exact solutions x and y are the unity vectors with all entries equal to one.
