Sentence examples for proof s from inspiring English sources

Proof S y n : = y n − T y n.

Proof Take S S i = S i in Theorem 2.1.

A bomb-proof S-class, with luxurious interior trimmings, can be yours for $850,000.

Proof Since S is regular, E S is non-empty.

Proof Let S : = { x n } and assume α ( S ) > 0.

Proof { s ˜ k } k ∈ N converges to s ˜ in the sense of Yoshida et al. [9] if and only if lim k [ [ s ˜ k ] ] α = [ [ s ˜ ] ] α in the sense of Definition 1.1 for any α ∈ [ 0, 1 ] except for at most countable many α.

The proof for S ˆ = { { n k } } is similar.

Proof For s = 1, see Proposition 4 in [5].

Proof Put S = I, the identity on H.

Proof Let S = (X, Y ) be a nonsingular matrix with.

Proof Let S : X → X be a nonexpansive mapping.