Sentence examples for manifold of complex from inspiring English sources

Let X be a compact Kähler manifold of complex dimension m.

It is known that the blow-up of a constant scalar curvature Kahler manifold of (complex) dimension greater than 2 also admits a metric of constant scalar curvature if it is K-stable.

DNA-based membrane nanopores and origami structures able to assemble into two-dimensional networks on top of lipid bilayers are recent examples of the manifold of complex devices that can be achieved.

Therefore Y is also a Generalized Hyperelliptic manifold of complex dimension n.

In this section, (X) continues to denote a connected complex paracompact manifold of complex dimension (N).

[6, 20] Let (X) be a Stein manifold of complex dimension (n) and (Y subset X) a smooth hypersurface.

In our case, this is desirable because we want to grasp the local combinatorial manifold of complexes around TFs and, owing to the implemented branching principle, the algorithm is able to diversify its intermediate states with a variety of justified directionalities induced by the previous history of domain choices.

Let p∈K and write for the stable manifold of f through p. is a complex manifold, say of complex dimension m.

Then the space (mathfrak{B}_{v}^{mathbb{C} }) can be divided into (binom{2delta v)}{delta v)}) canonical atlas of local coordinate systems on the Grassmann manifold of (delta^{2} v -dimensional complex subspaces in (mathbb{C} ^{delta^{2} v)}) through the origin [3], where (binom{2delta (v)}{delta v)}) is the binomial coefficient binom{2delta v)}{delta v)}=frac{(2delta v))!}{delta v)!delta (v)!}.

The advantages and disadvantages of the KR sorption system, design of FI manifolds, choice of complexing agents, consideration of a washing step, choice of eluents, and analytical applications for various atomic spectrometric techniques are discussed, with emphasis on ETAAS.

We'll pay special attention to Lie groups as examples of real manifolds and Riemann surfaces (a.k.a. algebraic curves) as examples of complex manifolds.