Sentence examples for this case conditions from inspiring English sources

In this case conditions of Theorem 3.1 are trivially satisfied.

In this case, conditions (13) and (14) reduce to conditions (4) and (5), respectively.

In fact, it is not difficult to see that in this case conditions (1) and (2) are both satisfied.

are satisfied, then the series ∑ a n λ n is summable φ − | A, p n | k, k ≥ 1. Remark It should be noted that if we take ( X n ) as a positive non-decreasing sequence, φ n = P n p n and a n v = p v P n, then we get Theorem A. In this case, conditions (21) and (22) reduce to conditions (16) and (17), respectively.

Colloquially known as the 'duck test' approach, similarities between two ideas or objects or, in this case, conditions are made and conflated or used interchangeably.

In this case conditions were as above except for the extension step of 72°C for 10 min at the end of each cyclic PCR run.

Fidel's spirit of defiance, shouting at the wind — literally in this case — conditioned many Cubans to weather hardships in ways that Americans cannot entirely imagine; many take pride in their national reputation for stoicism, a Cuban equivalent to Britain's Churchillian "Keep Calm and Carry On" legacy.

In this case, condition ( H 1 ) is automatically satisfied.

In this case, condition (21) is essential, just similar to condition (17) in Theorem 1.

In this case condition (3.4) guarantees that condition (3.5) also holds.

In this case condition (1) is satisfied, and consumers are incentivised to use the service.