Sentence examples for be two arbitrary solutions from inspiring English sources
Let (x 1 k), x 2 k)) T and be two arbitrary solutions of system (1.3).
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}})).
Let be two arbitrary points in.
Assume that (lambda_{1},lareda_{2}) are two arbitrary distinct solutions of (operatorname{det}T_{n}=0).
The relevant definitions are listed as follows: Definition 1 (Pareto dominance) Z 1 and Z 2 are two arbitrary feasible solutions of iMTSP.
Definition 3 System (3) is said to be globally attractive if lim t → ∞ | x 1 ( t ) − x 2 ( t ) | = lim t → ∞ | y 1 ( t ) − y 2 ( t ) | = 0 a.s., where ( x 1 ( t ), y 1 ( t ) ) and ( x 2 ( t ), y 2 ( t ) ) are two arbitrary positive solutions of system (3) with initial values ( x 10, y 10 ) ∈ R + 2 and ( x 20, y 20 ) ∈ R + 2. To give the result of global attractiveness, we show some lemmas first.
There are two obvious solutions.
War is one possible solution".
NPM was one proposed solution.
