Sentence examples for maximal for any from inspiring English sources

Λ = Λ f ( U ) = ⋂ n ∈ Z f n ( U ) (locally maximal), for any g ∈ U ( f ), g has the limit shadowing property on Λ g ( U ), where Λ g ( U ) = ⋂ n ∈ Z g n ( U ) is the continuation of Λ = Λ f ( U ).

there is a neighborhood U of Λ and a C 1 -neighborhood U ( f ) of f such that Λ f ( U ) = Λ = ⋂ n ∈ Z f n ( U ) (that is, Λ is locally maximal); for any g ∈ U ( f ), g has the ergodic shadowing property on Λ g ( U ) = ⋂ n ∈ Z g n ( U ), where Λ g ( U ) is the continuation of Λ.

The nominal parameter values (k1 = 1000, k-1 = 2000, k2 = 1, k3 = 1000, and k-3 = 3000) are modified by a multiplicative factor, and the maximal (for any state variable) time average/infinity norm of the relative difference between the original and the reduced model is presented above.

The nominal parameter values (k1 = 1000, k-1 = 1100, k2 = 1000, k-2 = 1200, k3 = 1000, k-3 = 7000, k4 = 1000, k-4 = 1100, α = 4.2, and β = 1) are modified by a multiplicative factor, and the maximal (for any state variable) time average/infinity norm of the relative difference between the original and the reduced model is presented.

A subspace which is maximal for a certain group of points might not be maximal for another group of points.

It reaches its value maximal for a crack length equal to 2ρent/5.

The conversion of the starting materials is maximal for a weight ratio KF or NaNO3/bones = 1/2.

Among different geometric bodies of equal volumes, this ratio should be maximal for a sphere.

However, the problem is even hard to approximate since there is no O(V 1−δ ) approximation for the best maximal clique among O(3 V/3) maximal cliques for any fixed δ>0 [43].

In [4] we proved that if g is a c-Lipschitz functional field, then problem (2.3) has a unique maximal solution for any η ∈ M ˜.

A monotone operator B is maximal if for any ((x,z in Htimes H) such that (langle x-y,z-wranglegeq0) for all ((y,w inoperatorname{Graph}B) implies (zin Bx).