Sentence examples for and consider the function from inspiring English sources

(i) Let α j ∈ ℝ (j = 1,..., n) and consider the function.

Let z 0 ∈ E 0 be fixed and consider the function h : E − × E + → R defined by h ( z −, z + ) = I ( z 0 + z − + z + ).

Now, assume that (Ggamma_{1} nleqslant Ggamma_{2}) and consider the function hat{alpha}(x)=maxbigl{ Ggamma_{1}(x),Ggamma_{2}(x) bigr}.

Let (H=C=mathbb{R}= -infty,infty)) and consider tH=C=mathbb{R}= -infty defined by (F(x)=arctan(x)-frac{pi }{2}),infty C).

For the moment, we fix x 0,…,x N−1 and consider the function u t,x):=v N−1 t,x 0,…,x N−1,x).

The subspace W is spanned by eigenfunctions corresponding to the eigenvalues λ k, k ≥ 2. Let v ∈ V be fixed and consider the function h : W → R defined by h ( w ) = I ( v + w, s ).

Take and consider the functions: (3.6).

Contextualizing and closely reading each of his films, this collection examines the director's play with memory, time, trauma, masculinity, and identity, and considers the function of music and video games and the effect of IMAX on his work.

In his exploration of the positive and negative dimensions of self-sacrifice, Halbertal also addresses the role of past sacrifice in obligating future generations and in creating a bond for political associations, and considers the function of the modern state as a sacrificial community.

Given and considering the function : defined by (4.15).

Split into three key sections, the first part is concerned with the assessment industry, and considers the purpose and function of assessment in policy and politics and the political context in which particular assessment practices have emerged.