Sentence examples for define a subspace of from inspiring English sources

and we define a subspace of as (2.6).

Now, we define a subspace of E T as follows: E ˜ T = { x ∈ E T ∣ x n  is odd in  n }.

From now on, we fix (alpha in 0,1)), and define a subspace of (C(A_{q,a}^)) by _{0}E_{a}^{alpha}= bigl{ yinmathcal{A}C bigl(A_{q,a}^bigr) : ^{mathrm {c}}D_{q,0^^{alpha }y in Cbigl(A_{q,a}^bigr) bigr}, and the space of variations (^{mathrm{c}}operatorname{Var}(0,a)) for the Caputo q-derivative by ^{mathrm{c}}operatorname{Var}(0,a)= bigl{ hin_{0}E_{a}^{alpha } : h(0)=h(a)=0 bigr}.

In order to define a subspace of R m we sought unit vectors vα.

Define a subspace of E P as follows: E ˜ P = { x n ∈ E P ∣ x n  is odd in  n }.

While MFA defines a subspace of steady state flux distributions then EFMA restricts this subspace by taking into account of irreversibility of certain reactions.

We define a subspace H of L 2 as follows: H = { u ∈ L 2 | ∑ | λ k ( λ k − c ) | h k 2 < ∞ }.

Let us denote an element v, in E ′, as v = ∑ h m n ϕ m n, and we define a subspace E of E ′ as E = { v ∈ E ′ | ∑ | λ m n | h m n 2 < ∞ }.

We define a subspace W of (L^{2}(S^{1},R)) as follows: W=Bigl{ xin L^{2}bigl(S^{1},Rbigr bigm| sum vert mu_{k}vert h_{k}^{2}< inftyBigr}.

For practical use of the RKM method, it is necessary to define a closed subspace of (Pi_{w}^{m}[a,b]) by imposing required homogeneous boundary conditions on it.

For given positive integer is defined as a subspace of by (2.4).