Examples of using Complex vector in English and their translations into Russian
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Combine multiple drawings to form complex vector shapes.
Input data: complex vector to be transformed[math]a[/math] with components[math]a_{i}/math.
Let Gn be the infinite Grassmannian of n-dimensional complex vector spaces.
Macroeconomics aggregates a complex vector reality and turns it into a scalar.
It is convenient to look at as a real part of complex vector, where.
Complex vector bundles can be viewed as real vector bundles with additional structure.
Rank is the dimension of the complex vector space the group acts on.
For complex vector bundles of dimension greater than one, the Chern classes are not a complete invariant.
Operations of topological correction are integrators that automatically assemble a complex vector structure out of individual objects.
Let V be an n-dimensional complex vector space with basis θ i, i 1,…, n{\displaystyle\theta_{i}, i=1,\ldots, n.
From an algebraic point of view,the set of holomorphic functions on an open set is a commutative ring and a complex vector space.
Further processing generates complex vector conglomerates adhered to polygon boundaries.
A comprehensive set of customisable shapes, a pen and node tool, andfull Boolean geometry operations allow for the creation of complex vector paths and shapes.
The basic observation is that a complex vector bundle comes with a canonical orientation, ultimately because G L n( C){\displaystyle GL_{n}(\mathbb{C})} is connected.
He shows using the Leray-Hirsch theorem that the total Chern class of an arbitrary finite rank complex vector bundle can be defined in terms of the first Chern class of a tautologically-defined line bundle.
Let π: E→ B be a complex vector bundle over a paracompact space B. Thinking B is embedded into E as zero section, let B′ E- B{\ displaystyle B'= E-B} and define the new vector bundle: E′→ B′{\ displaystyle E'\ to B'} such that each fiber is the quotient of a fiber F of E by the line spanned by a nonzero vector v in F a point of B′ is specified by a fiber F of E and a nonzero vector on F.
Simple Cooley-Tukey algorithm is a variant of Fast Fourier Transform intended for complex vectors of power-of-two size and avoiding special techniques used for sizes equal to power of 4, power of 8, etc.
It is a classifying space in the sense that,given a complex vector bundle E of rank n over X, there is a continuous map f E: X→ G n{\displaystyle f_{E}: X\to G_{n}} unique up to homotopy.
Namely, introducing the projectivization P( E){\displaystyle\mathbb{P}(E)} of the rank n complex vector bundle E→ B as the fiber bundle on B whose fiber at any point b∈ B{\displaystyleb\in B} is the projective space of the fiber Eb.
They act by matrix multiplication on 2-dimensional complex vector spaces(with a choice of basis) VL and VR, whose elements ΨL and ΨR are called left- and right-handed Weyl spinors respectively.
To define the Todd class td( E){\displaystyle\operatorname{td}(E)}where E is a complex vector bundle on a topological space X, it is usually possible to limit the definition to the case of a Whitney sum of line bundles, by means of a general device of characteristic class theory, the use of Chern roots aka, the splitting principle.
What situation is at the Vector Complex today?
Everything accumulated at special plants during the 1960s shall be transported to the Vector Complex.
Keywords: chronic parodontitis, Vector apparatus, complex treatment.
The complex four-dimensional vector space on the same basis is called the algebra of biquaternions.
The[math]2 n[/math]-dimensional complex output state vector[math]w./math.
The first three Lots are located at Chernobyl NPP site,Lot 3 is at the"Vector" Complex site within the Exclusion zone.
For its part, we suggest you to treatment andprevention of periodontal disease itself established the German superbly hardware complex called" Vector.
Second, the Vector Complex and many other radioactive waste storage facilities, including near-surface facilities used for the disposal of low- and intermediate-level waste are also located here.
Phrased somewhat differently, the first part says that a linear operator J on a complex finite-dimensional vector space stabilizes a complete flag V1,…, Vn.