Sentence examples for for any fixed value from inspiring English sources

For any fixed value μ = μ0, Π W; μ0) is a strictly concave function with respect to W, ∀W > 0.

For any fixed value μ = μ0, Π W; μ0) is a continuous function in W>0, whose first and second derivatives are continuous in( W in left( {1/mu_{0},(R - gamma )/c} right).

(vi) For any fixed value W = W0, such that 0 < W0 < (R − γ)/c,  Π(μ; W0) is a convex (concave) function with respect to μ if C is concave (convex).

The expected profit function Π W, μ) has the following properties: (i) For any fixed value μ = μ0, Π W; μ0) is a continuous function in W>0, whose first and second derivatives are continuous in( W in left( {1/mu_{0},(R - gamma )/c} right).

Finally, we also give an explicit lower bound for the number of non-isomorphic designs having the same parameters as PG1(n,q); in particular, we obtain a new proof for the known fact that this number grows exponentially for any fixed value of q.

For each fixed value of the pressure, a series of experiments was carried out with different forming times to obtain evolutions of dome height H and thickness s.

For each fixed value of pressure, a series of experiments was carried out with different forming times to obtain evolutions of dome height H and thickness s.

For each fixed value of R0, 4.000 epidemics were simulated at an individual-based level.

For each fixed value of θ, we chose five values of p C with the goal of keeping p T away from 1.0 (see below for these values).

For that reason, fixed value plans provide the weakest incentives of the three types of programs.

It is found that for fixed value of LB, the increase in LE will increase Pout(Rs).