Sentence examples similar to be an arbitrary first from inspiring English sources

Let L be an arbitrary first-order modal language.

A is a linear strongly elliptic self-adjoint partial differential operator of second order with coefficients depending smoothly on the spatial variables, and C ( t, τ ) is an arbitrary second-order linear partial differential operator, with coefficients depending smoothly on both time and spatial variables in the closure of their respective domains; B is a suitable continuous operator.

Let be an arbitrary random vector in with finite second moment.

And while I'd normally shy away from writing this kind of garbage, I feel an odd sort of personal connection to Trudeau because I'm also celebrating an arbitrary first 100 days, and as a result I feel as if I have some sort of right to the thinkpiece throne.

What if an actual couple, whose relationship began when they thought they were a 90% match, were then informed they were a 30% match?" It's a decent enough point, but ignores one crucial fact – that the scores were an arbitrary experiment in the first place.

where c 6 is an arbitrary constant and the first integrals are found by using the expression (2.12) (3.2.12

where l is an arbitrary ray in the first quadrant of the complex k-plane, oriented from the origin to infinity, with an angle between l and the positive real axis less than π − arg ( z − b ).

The first mapping is an arbitrary mapping which does not respect the first rule devised in our solution, whereas the second mapping referred to as optimum mapping does.

The first method is an arbitrary definition of the cut-offs where CoD is equal to 0.3 and CoU to 0.7.

A second problem is an arbitrary distinction between severely cognitively impaired humans and members of other similarly cognitively sophisticated species, were they to exist, who have analogous severe cognitive impairments.

In the first place it is an arbitrary number — and increasing it does not affect the way market views Australia's debt position.