Sentence examples for be a dense subset from inspiring English sources

Let (mathcal{S} subset X^) be a dense subset.

Let { t k ∗ } k ≥ 0 be a dense subset of [ t, T ] with t 0 ∗ = t.

Let { t i } i ≥ 0 be a dense subset of [ 0, T ] with t 0 = 0.

Let ({ x_{i}}_{i}) be a dense subset of (mathbb{B}).

Let X and Y be Banach spaces with X being separable and reflexive, and set E = X ⊕ Y. Let S ⊂ X ∗ be a dense subset.

Another example of an almost convex set is thefollowing: Let C ( [ 0, 1 ] ) be the Banach space of all continuous real functionsdefined on the unit interval [ 0, 1 ], and let P ( [ 0, 1 ] ) be a dense subset of all polynomials.

It is densely defined: indeed, (mathrm{Domain}(bar{partial })) is a dense subset of (L^2_{ p,q)}(Omega, e^{-varphi })) since it contains all the smooth forms on a neighborhood of (Omega ).

For each r, ℚ is a dense subset of ℝ, we have C rx) = r3C x).

Moreover,, the set of points in with coordinates in, is a dense subset of the torus.

Therefore X is a dense subset of ((C[0,1], Vert cdot Vert )).

Therefore (J_{0}^{alpha}X) is a dense subset of ((C^{alpha}[0,1], Vert cdot Vert _{alpha})).