Sentence examples for for complex spaces from inspiring English sources

Grauert's Kuranishi type theorem for complex spaces.

One can define deformations not only for complex manifolds, but also for complex spaces.

This fact, as well as the continuity of (K_X) for any (X), holds true for complex spaces as well (see [4, 5]).

First of all, we state a result for the maximal possible dimension (N^2+2N), which also holds for complex spaces (see [1], pp. 49 50], [52]).

Proper actions by biholomorphisms are found in abundance, as shown by the following result, which holds even for complex spaces (see [52], Satz 2.5]): Let (Y) be a connected complex manifold and (H) a closed subgroup of (mathrm{Bihol}(Y)).

In contrast, process-based modeling offers a more flexible formalism for specifying complex spaces of candidate model structures.

Koolhaas is known for assertive sculptural forms, complex spaces and dramatic relationships with the urban context.

If Ψ is a quasi-greedy basis of a Banach space X with the quasi-greedy constant (mathfrak{K}), then maxbigl{ k_{n}^{c}, mu_{n}^{d}bigr} leq L_{n}(Psi leq k_{2n}^{c}+8 kappa^{d}mandfrak {K}^{2}mu_{n}^{d}leqwidetilde{d}L}_{ndetilde{L}_{n}(Psi leq 12 kappa^{2}mathfrak{K}^{d}mu_{n}^{d}, with (kappa=1) or 2 for the real or complex spaces, respectively.

If Ψ is a quasi-greedy basis of a Banach space X with the quasi-greedy constant (mathfrak{K}), then L_{n}^{mathrm{ch}}(Psi) leq20kappa^{2} mathfrak{K}^{2}mu_{n}^{d} quad textit{and}quad widetilde{L}_{n}^{mathrm{ch}}(Psi) leq12kappa^{2} mathfrak{K}^{2}mu_{n}^{d}, with (kappa=1) or 2 for the real or complex spaces, respectively.

And late at night, when a puzzle they can't solve is driving them on and everyone in the lab is brainstorming, trying to define a security solution for a complex space, one of them becomes aware suddenly that this select group is making a difference now and creating value far beyond themselves.

The results of [8, Theor ms 3 and 4] also hold for complex vector spaces and.