Sentence examples for inner and norm from inspiring English sources

For, we endow with the inner and norm as.

((cdot,cdot)) and (Vert cdot,cdot Vert ) denote the inner and norm on (L^{2}[0,r_{0};respectivelypectively, with the norm Vert varphi Vert =biggl( int_{0}^{r_{0}} r^{2} biglvert varphi(r) bigrvert ^{2},drbiggr)^{frac{1}{2}}.

The inner product and norm are denoted by 〈 ⋅, ⋅ 〉 and ∥ ⋅ ∥, respectively.

with the inner product and norm given by (22).

Here and in subsequence, and | ⋅ | denote the inner product and norm in ℝ, respectively.

(langlecdot,cdot rangle) and (|cdot|) stand for its inner product and norm, respectively.

Let H be a real Hilbert space with inner product and norm || · ||, respectively.

Let H be a real Hilbert space whose inner product and norm are 〈·, ·〉 and ║ · ║, respectively.

Equipped with the inner product and norm as follows: (3.2). is linearly homeomorphic to.

Let be a real Hilbert space with inner product and norm.

Let be a real Hilbert space with inner product and norm, respectively.