Sentence examples for its norm by from inspiring English sources

Each variety of traditional letter form was studied with a view to finding its norm by careful comparison with archetypes in ancient monuments and books.

Denote its norm by (|F|_{s}).

We denote its norm by and its dual space by.

Let X be Banach space, we denote its norm by ||·|| and its dual space by X*.

We denote its norm by ∥ · ∥ and its dual space by E*.

For (uin C_{T}) we denote its norm by (Vert uVert _{infty}=sup { vert u(t)vert ; tin [ 0,T ] } ).

For any matrix D ∈ R m × n, we denote its transpose by D T and its operator norm by ∥ D ∥ = max x ∈ R n : ∥ x ∥ = 1 ∥ D x ∥.

Finally, examples are given to demonstrate our effective results in Section 5. Let R =, R+ = [0, +∞), R n denote the n-dimensional Euclidean space with the Euclidean norm | · |. If A is a vector or matrix, its transpose is denoted by A T, and its norm is denoted by | | A | | = λ max ( A T A ), where λmax is the maximum eigenvalue of a matrix.

It is a Banach space where its norm is defined by Vert f Vert _{S^{p}}= biglVert f^{b} bigrVert _{L^{infty }(mathbb{R},L^{p})}=sup_{tinmathbb{R}} biggl( int_{t}^{t+1} biglVert f tau) bigrVert ^{p},dtau biggr)^{1/p} =sup_{tinmathbb{R}} biglVert f(t+cdot) bigrVert _{p}.

its norm is induced by the inner product given by (33).

Let be the space of the form (28). its norm is induced by the inner product given by (29).