Sentence examples for the given assumptions from inspiring English sources

By challenging the status quo and the given assumptions, we focus on the problems that most need to be solved and solve them creatively.

An observation of the negative in-plane Poisson's ratios for wavy laminated composites reinforced with carbon fibers is presented under the given assumptions of CLT.

This case cannot occur since then contradicting the given assumptions.

Under the given assumptions, we give the corresponding Berry-Esséen bound.

From this, the strict convexity under the given assumptions readily follows.

The following principles have been taken care of for satisfying the given assumptions.

Hence, By the given assumption, (3.15).

By the given assumption, we have ( u 1, u 2 ) ∈ ∇.

end{aligned} Since (ellsigma< 1) by the given assumption, the operator (mathcal{W}) is a contraction.

Since L < 1 / ω, by the given assumption, therefore the operator T is a contraction.

Since ℓ ρ < 1 by the given assumption, therefore the operator ℋ is a contraction.