Sentence examples for the next condition from inspiring English sources

The next condition to which they would apply a guarantee is the next-biggest barrier, and so on.

The next condition focuses on retrieve queries.

The asymptotic representation of the solutions of (3.7) is given under the next condition.

The next condition is that self-consciousness requires me to represent an objective world distinct from my subjective representations - that is, distinct from my thoughts about and sensations of that objective world.

Since (pin 0,1)) function f is concave, which implies that there is a unique fixed point (x^) of f and that the next condition bigl(f(x -xbigr) bigl(x -xbigr)< 0,quad xin (0,infty)setminusbigl x-x^bigr}, (31) holds.

end{aligned}To complete the proof we must show that (theta _{m}le theta ^( {overline{P}},alpha )), which is the case if (theta _{m}le H_{{overline{P}},alpha }(theta _{m})), or, analogously, if the next condition holds: begin{aligned} 1-e^{frac{-alpha }{d_{m}}}le frac{1}{langle d^{alpha }rangle _{ {overline{P}}}}sum limits _{dge d_{m}}d^{alpha }{overline{P}}(d)e^{-frac{ dalpha }{d_{m}}}.

From one second to the next, conditions had suddenly become similar to those on the peak of Mount Everest.

The next conditions to be evaluated are those related to coverage and quality issues.

The next conditions are expressed in terms of the matrix function A and extend condition A3w in the optimal transportation case [20].

The next conditions hold simultaneously: for all n, uniformly, and. the pair ({u n }, {v n }) verifies the discrete Sawyer's condition, i.e., there exists C > 0 such that.

The next conditions hold simultaneously: w ∈ A p, n-1,n+2) for all n, n-1,n+2ly, and. the pair ({u n }, {v n }) verifors the discrete two-sided Saller's condition S q, i.e., there exists C > 0 suniformly