Sentence examples for be an arbitrary vector from inspiring English sources

Let X be an arbitrary vector space.

Definition 2.4 Let X be an arbitrary vector space.

Definition 1.1 Let X be an arbitrary vector space over K ( = R or ℂ).

Definition 2.1 Let X be an arbitrary vector space over K (=R or C).

Let (x_{0}in mathbb {R}^{n}) be an arbitrary vector and take (H_{0}=I_{n}).

Let (x_{0}in mathbb {R}^{n}) be an arbitrary vector and choose (H_{0}=I_{n}in mathbb {R}^{ntimes n}) (unitary matrix).

where ζ a is an arbitrary vector.

where Λ g is an arbitrary vector.

where are real matrices, and is an arbitrary vector.

where γ is an arbitrary vector in R m and n 0 is a fixed nonnegative integer.

where u ∈ R  Q is an arbitrary vector referred to as a processing point [15], and E denotes an expectation operator.