Sentence examples for an isolated solution from inspiring English sources
Obviously ZEIS as a zoning tool is still unable to make the fairest occupation processes possible, not being an isolated solution, but if it is used correctly with other innovative measures and housing solutions, satisfactory results can be achieved.
Let, such that is an isolated solution of the following equation: (1.14).
Let (u^) be an isolated solution of (1) and (u_{n,i}) be the ((n+i)) th multilevel augmentation solution.
Therefore a pattern is not an isolated solution but rather generates a manifold of solutions under the action of translations, which is called an orbit under the action of the group of translations.
Then either (i) ( μ, 0 ) is not an isolated solution of (4.1) in × E, or (ii) there is a one-sided neighborhood Λ of μ such that for all λ ∈ Λ ∖ , (4.1) has at least two distinct nontrivial solutions, or (iii) there is a neighborhood Λ of μ such that for all λ ∈ Λ ∖ , (4.1) has at least one nontrivial solution. . ( μ, 0 ) is not an isolated solution of (4.1) in × E, or.
Let F : R × V → V be completely continuous such that F ( λ, 0 ) = 0, ∀ λ ∈ R. Let a, b ∈ R ( a < b ) be such that u = 0 is an isolated solution of the equation u − F ( λ, u ) = 0, u ∈ V, (1.9).
In particular, he proved the solvability of these problems for nonlinear differential equations and systems with right-hand sides rapidly increasing with respect to the phase variable, introduced the notion of a strong isolated solution of a nonlinear problem, proved the stability of such a solution under small perturbations of the differential system.
(H3) The unperturbed equation x ˙ = A x + ϕ ( x ) (4) has a T-periodic isolated solution x 0 ∈ C T ( E ), hence the set of shifts x θ = x 0 , for any θ ∈ [ 0, T ], represents a family of T-periodic solutions to (4).
The crucial assumption is that the unperturbed equation at ε = 0 has a continuous T-periodic isolated solution x 0 : R → E, i.e., x 0 ∈ C T ( E ).
Since recursive applications of the algorithm are required, only a limited number of isolated solution sizes can be obtained.
We give a single-exponential time method for finding all the isolated solution points of a system of polynomials, even in the presence of infinitely many solutions at infinity or elsewhere.
