Sentence examples for proof function from inspiring English sources

A proof of an implication A ⊃ B, say, is a program that converts data of type A into an output of type B. The construction of an object (proof, function, program) f of the type A ⊃ B ends with an abstraction.

However there is no function of explosion-proof function in the shield machine, and it is likely to cause a large number of harmful gases gushing out instantaneously.

Owing to its strong expression in carcinoma cells, most of these functions have been described primarily in malignant cells, and formal proof of function and role in normal cells is often lacking.

Proof Weyl function M is a meromorphic function with respect to λ, which has simple poles at λ n.

In accordance with the previous part of the proof, every function, defines a strictly increasing convergent solution.

Proof The function f ( x ) = x 1 ⋯ x k is a function with nondecreasing increments of orders two and three for x i ≥ 0 ( i = 1, …, k ).

Proof Define function q ( r ) = r σ max 0 ⩽ y ⩽ r f ( y ).

Proof The function F satisfies all conditions of Theorem 3.4 except (3.15).

In the proof, Lyapunov function (V x)=x^{T}Hx) is used where H solves the matrix Lyapunov equation (6).

Proof The function f ˜ ( y ) has one simple zero y ¯, which implies f ˜ ( y ) < 0 for 0 ≤ y < y ¯ and f ˜ ( y ) > 0 for y > y ¯.

Proof The function f is continuous, ∫ 0 1 f ( ( 1 − t ) A + t B ) d t exists for any self-adjoint operators A and B with spectra in I.