Sentence examples for notation wise from inspiring English sources

Notation wise, this form also results in more compact expressions.

Notation-wise, I N denotes the N×N identity matrix, 1 N×M and 0 N×M, are the all-one and all-zero N×M matrices, respectively; T and H represent transpose and conjugate transpose, respectively; and ⊙ and ⊗ signify Hadamard and tensor products, respectively.

The notation ⊙ denotes the element-wise multiplication.

(23)–(25) have replaced the expression for w i in the PCA model, ∘ is the element-wise Hadamard product, and the product notation in 26 and 27 denotes independent draws.

H x ≥ p. ∗ | h | (12c) H x ≤ p + | h | − 1 (12d) p = (p r + 1, …, p r + s ) T, ∈ { 0, 1 } ∀ i (12e) equation (4b) to equation (4e), where we used the MATLAB notation for array multiplication ".∗" to denote the element-wise product of the vectors p and | h |.

For any real number p, we use the notation M p and v p to denote the element-wise power of a matrix M and a vector v respectively.

In terms of the most likely outbreak subregion Q detected by each algorithm and the actual subregion SUB covered by the simulation-generated outbreak rectangles in each scenario, the cell-wise spatial precision is taken to be the proportion | Q ∩ SUB|/| Q| and the cell-wise spatial recall to be | Q ∩ SUB|/| SUB| where the notation | X| signifies the area of subregion X.

The notation y ≥ 0 implies that yl ≥ 0 for all components l. x ⪈ y implies component-wise inequality with strict inequality for at least one component.

Notation, notation, notation.

The notation!

In musical notation.