Sentence examples for couple of lower from inspiring English sources

Triggered by the Supreme Court's 2010 ruling in Citizens United v. Federal Election Commission and a couple of lower court decisions, these new groups are allowed to collect unlimited sums of money from individuals, corporations, unions and trade groups — and to use these funds for expenditures that expressly call for the election or defeat of a candidate for federal office.

that is, ϕ ( t ) and ψ ( t ) are a couple of lower and upper solutions of the fractional q-difference boundary value problem (1.1), respectively.

When satisfies (2.1) everywhere or almost all then every couple of lower and upper solutions satisfies the conditions in Theorem 3.5, so this result is not really new in that case (which includes the Carathéodory and continuous cases).

Proof of Theorem 2.1 According to Lemmas 3.1, 3.2, 3.10, and 3.11, the conditions of the theorem guarantee a well-ordered couple of lower and upper functions, therefore the result is a direct consequence of Theorem 1.1.

(ii) When satisfies (2.1) everywhere or almost all then every couple of lower and upper solutions satisfies the conditions in Theorem 3.5, so this result is not really new in that case (which includes the Carathéodory and continuous cases).  .

We will prove that the functions ϕ ( t ) = T n ( t ), ψ ( t ) = T m ( t ) are a couple of lower and upper solutions of the fractional q-difference boundary value problem (1.1), respectively.

After all, he does claim to have information implicating one three-star general and a couple of lower-ranking ones.

I had helped sort out some of the paperwork for my institution's submission to the Research Assessment Exercise and had sat on a couple of lower-level committees.

Laskar et al. (2013) used experimental observations to show that the coupling of lower and upper atmospheres is higher (lower) during low (high) solar activity.

Such structures have shown a strong coupling of higher-order guided modes in addition to coupling of lower-order modes.

"If the ceiling were a couple of feet lower, I'd be happier," he said.