Sentence examples for be two distinct vectors from inspiring English sources

Let x and y be two distinct vectors in.

Firstly, we start with the following definitions and notation: Let X be a vector space and x, y be two distinct vectors in X.

Let a and b be two distinct vectors in X, we define d r ( a, b ) : = { λ a + ( 1 − λ ) b | λ ∈ R }. Theorem 4.4 Let ( X, ∥ ⋅ ∥ ) be a real normed space.

We used the normalized Euclidean distance d* to take account of the MVs: (1) v and w are two distinct vectors and m is the number of MVs between the two vectors.

There seem to be three distinct charges.

Therefore, if there are two distinct optimal schedules, SA and SB, their power allocation vectors cannot be different, i.e., PA = PB.

There were two distinct chapters.

These are two distinct functions.

These are two distinct problems.

They are two distinct mediums.

There are two distinct reasons for this.