Sentence examples for fixed argument from inspiring English sources

We also account for overplotting by adjusting the opacity as a fixed argument (outside the aes with the alpha argument.

For each vertex g in G denote A(g) as the set A(g) = { f(g) | f}; that is, A(g) contains vertices and tubes f(g) from S for a variable mapping f and a fixed argument g.

Indeed, under the previous assumption, the system can be written G ¯ ( W ) = − κ W + F ( W ), where F is a contraction operator on E 1 3. Therefore, one can prove the uniqueness of the fixed point with the Banach fixed point argument and exhibit an energy function for the system.

We present two approaches to prove existence of solutions on bounded domains: via minimization of an indefinite functional and via a fixed point argument.

The proof of (mathrm{(iii)}) follows from a standard contraction mapping fixed point argument, details are omitted.

By exploiting the exact controllability of the unperturbed linear third-order dispersion equation, and by applying the classical contraction mapping fixed point argument, we proved under the condition that the nonlinearity is weak that the semilinear dispersion equation in question is still exactly controllable.

Then fixed point arguments are used to obtain the desired solution of associated nonlinear problems.

The main tools used in the literature for such a problem are the coincidence degree theory of Mawhin, fixed point arguments together with the lower and upper solutions method.

Concretely,our main purpose is to prove that the Baire partial quasi-metric space is an appropriatemathematical framework for discussing via fixed point arguments the asymptotic complexityof a general class of recursive algorithms to which all the algorithms analyzed inCerdà-Uguet et al. (Theory Comput. Syst.

Later, exhausted by her dinner preparations, Lily turns off her hearing aid at the party and sits "with her expression pleasantly fixed" during an argument about the bombing of Hiroshima.

On Rawls's account, the content of public reason is partly fixed via philosophical argument, prior to any actual democratic deliberation amongst citizens (see sect. 5).