Sentence examples for exists exist from inspiring English sources

Given the initial probability distribution vector x0, the state probability distribution vector represents the state vdistribution vector at time T obtained by control strategy σ = i1 i2 … i T. The feasible solution set V is a subset of set U, where Optimal solution(s) exists(exist) if V is not empty.

Alexander was not so shy, saying he believed "everything that exists exists because of the will of God" and that God resided "outside the space-time continuum".

A film image is created by light that leaves a material trace of something that exists — existed — in real time and space.

Most of the data that exists, exists beyond our simple keyword search.

He tells us that everything that exists exists because substances exist: if there were no substances, there would not be anything else.

As Auriol writes: "every thing, insofar as it exists, exists as a singular" (omnis res, eo quod est, singulariter est).

In fact, Newton accepted the principle that everything that exists, exists somewhere — i.e., in absolute space.

Thus Arthur Prior's remark in [1957] (p. 48) that classical quantified modal logic (effectively, SQML) is "haunted by the myth that whatever exists exists necessarily".

Any barriers that may exist, exist only in people's minds.

"Things that exist exist," the Minimalist sculptor Donald Judd once wrote, "and everything is on their side".

"Things that exist exist and everything is on their side," he wrote, in one of his most-quoted lines.