Sentence examples for exists a couple of from inspiring English sources

After the introduction and basic notation, we recall the definition of lower and upper functions to the problem (1.2), (1.3), and we formulate the classical theorem on the existence of a solution to (1.2), (1.3) in the case when there exists a couple of well-ordered lower and upper functions.

There exists a couple of smooth radial functions ∈ ( C c ∞ ( B ), C c ∞ ( C ) ) such that ∀ ξ ∈ R n, χ + ∑ q ∈ N ϕ ( 2 − q ξ ) = 1.

There exists a couple of smooth radial functions valued in [ 0, 1 ] such that χ is supported in the ball B = { ξ ∈ R n, | ξ | ≤ 4 3 } and ϕ is supported in the ring C = { ξ ∈ R n, 3 4 ≤ | ξ | ≤ 8 3 }.

For gene targeting of Vglut2 expression within DA neurons specifically, DAT-Cre transgenic mice, of which there exists a couple of variants, have been used by breeding to floxed Vglut2 f/f mice, of which there also exist a few variants (Birgner et al. 2010; Fortin et al. 2012; Hnasko et al. 2010).

The window of opportunity that may have existed a couple of weeks ago has closed.

It is the same amendment that allows a strip joint and a porno shop to exist a couple of blocks from hallowed ground.

Not bad for a site that didn't exist a couple of years ago.

Nanit couldn't exist a couple of years ago when we didn't have this.

"Consumers who want to cut or shave the cord now have a wealth of options that didn't exist a couple of years ago.

"It's staggering to think that $2billion worth of sales has been generated through a platform that didn't exist a couple of years ago, and on a device that didn't exist three years ago".

"Customers have a comfort zone with brands they trust they know the product and what they want, and there isn't that hesitation that used to exist a couple of years ago".