Sentence examples for denotes the terms from inspiring English sources

where O t m 3 denotes the terms higher than third order and can be ignored.

denotes the terms with orders greater than or equal to 3. Substituting u = u x1, x2) into the equations of system (2), we can obtain a generic two-dimensional differential system with center-focus type linear part as follows ẋ 1 = ℓ 1 x 1 + ℓ 2 x 2 + ∑ k = 2 ∞ X ̃ k ( x 1, x 2 ), ẋ 2 = ℓ x 1 - ℓ 1 x 2 + ∑ k = 2 ∞ Ỹ k ( x 1, x 2 ) (4).

The RVs in the standard normal space (u 1, …, u n ) are expressed as (3) u i = ∑ j = 1 n b ij z j for i = 1, …, n where b ij denotes the terms of the inverse of the Choelsky decomposition of the correlation matrix defined by the terms ρ ′ ij.

where denotes the term by term division.

∗ denotes the term that is induced by symmetry.

where is the forward difference operator and denotes the term of the matrix transform of the sequence, where.

This is defined to be:, where Pa t, t') denotes the term set of all common ancestors of GO terms t and t', and IC t) is the information content of term t as defined by Lord et al. [ 27].

Let us denote the terms describing the variability with: dt 3 ( t ) = β opt d 3 ( t ) + γ opt d 4 ( t ).

The asterisk ∗ in a matrix is used to denote the term that is induced by symmetry.

In a symmetric matrix, the symbol "*" is used to denote the term that is induced by symmetry.

In symmetric block matrices, an asterisk ∗ is used to denote the term that is induced by symmetry.