Sentence examples for arbitrary solutions from inspiring English sources

You can pick one of several arbitrary solutions that people can acknowledge as being fair".

Here, the valuation of species is seen as problematic, with arbitrary solutions.

Let (x 1 k), x 2 k)) T and be two arbitrary solutions of system (1.3).

One should avoid "arbitrary" solutions, which attribute one speed rather than another, but do not give a reason for so privileging.

Let f, (bar{f} : [0,T] rightarrow L^p({{mathbb R}^{N}})) be two arbitrary solutions to the nonlinear problem sharing the initial state (f(0) = f_0 = bar{f}(0) in L^p({{mathbb R}^{N}})).

Remark 2 The components of the conserved vectors contain the arbitrary solutions ϕ and ψ of adjoint equations (3.24a) and (3.24b), and hence one can obtain an infinite number of conservation laws.

Let be any arbitrary solution of (3.34).

Let be an arbitrary solution of (2.2).

Proof Suppose ( x, y ) is an arbitrary solution of (1).

Let x be an arbitrary solution of this problem.

Let be an arbitrary solution of system (1.5).