Sentence examples for proof condition from inspiring English sources

The coins in uncirculated and proof condition, will be sold at premium prices.

Proof Condition (14) holds.

Proof Condition (3) of Theorem 1 implies that the impulsive gains b k ∈ ( − 2, 0 ).

Proof Condition (iis) implies that of (ii) in Theorem 3.3 (see Remark 3.1 [24]).

Proof Condition (7) and (1) ensures us that F ρ and F ¯ ρ are continuous functions on ( 0, ∞ ) [[15], Lem.

Proof Condition (5) implies that there exist n 1 ∈ N 0 and a constant P ∈ [ 0, 1 ) such that | p n | ≤ P < 1 for  n ≥ n 1. (7).

Note that these explanations are not in terms of proof conditions, but of assertion conditions.

Proof Conditions (1.3) and (1.4) are sufficient conditions of compactness of the operator T (Lemma 4.7).

Proof Conditions (i - iv) i - ivsystem (1) eximplythe endemic equilibrium P ∗ ∗.

Proof Conditions (4.1) guarantee that the operators of k i from L p ( v ) into L q ( u ) are compact (see, e.g., [7]).

It would not have been possible for Brouwer to make this inference if at the time it would have been among his proof conditions of an implication to have a proof of the antecedent, as then a proof of A → B would lead to a proof of B and thereby make it impossible to begin establishing the second implication by proving its antecedent ¬B.