Sentence examples similar to open spheres from inspiring English sources

Now let o be a material object whose exact location, r, is a topologically open sphere.

The simplest spherical array configuration is the open sphere composed of sensors suspended in free space.

However, this configuration might make the open sphere suffer from poor robustness at some certain frequency points.

For any (ain chi ), the open sphere with centre a and radius (lambda > theta ) is given by B_{lambda }(a) = bigl{ b in chi : d_{mathrm {lc}}(a,b) < lambda bigr}.

end{aligned} (3.2) Then (x^) is the attractive point of the iterative sequence (x^{k+1}=F(x^{k}) ) ((k=0,1,ldots)) for the open sphere (S=S x^,delta)subset D) and any initial guess (x^{0}in S). [28].

Define the set R ( u, v ) as follows: R ( u, v ) = { ρ ∈ R / ∃ k ρ ∈ N D D ∩ ( ⋂ i = k ρ + ∞ S ( F i ( u, v ) + F i ( v, u ), ρ ) ) ≠ ∅ }, where S ( x, r ) is the open sphere in E of center x and radius r.

(see [2]), i.e., for each ϵ > 0, there exists a positive integer p such that co M ⊂ co p M + S ( 0, ϵ 3 L ) × S ( 0, ϵ 3 L ) × S ( 0, ϵ 3 L ), where S ( 0, r ) is the open sphere centered at the origin and with r as radius, coM is the convex hall of M and co p M = { ∑ i = 1 p t i X i ; t ∈ Δ p − 1 ; X i ∈ M  for all  i ∈ { 1, …, p }, p  fixed }. for every M ⊂ C × C × C. Put γ = f p ( 2 ϵ 3 L ).

You're given a small styrofoam cup of cold, spiced mint water; you crack open the spheres and fill them with the mint water.

* "What seemed to be an increasingly open public sphere, removed from the world of commodity exchange, seems to be morphing into a private sphere of increasingly closed, proprietary, even monopolistic markets.

They can operate within both the limits of the law and in the open public sphere.

Accomplishments include the creation of a genuinely open public sphere, in which all citizens can engage in wide-ranging debate; unprecedented political participation from previously marginalized groups; and the agreement on demobilization and integration of Maoist combatants into the Nepal Army.