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Showing 1 to 20 of 120 for “"Quotients"”.
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Singular hyperkähler quotients
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1995.
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Spectral properties of Kähler quotients
… it to study various spectral problems on Kähler quotients. As for the spectral measure, we will give an explicit way to compute the coefficients in the asymptotic expansion for toric varieties. It turns out that the upstairs spectral measure in this case is described by an interesting integral …
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Topological invariants of symplectic quotients
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1997.
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Educational quotients : Robert F. Kennedy Middle School
When architects talk of 'smart buildings' they are usually referring to the same old ones with the addition of simple prosthetics such as light sensors and small electric motors. Their smartness is invariably limited to the smartness of the trickster. I have sought to develop a strategy which …
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A class of groups rich in finite quotients
… to consist of all groups having no non-trivial X-quotients. Counter-counter-finite groups are studied here; any non-trivial quotient of such a group has a non-trivial representation over any finitely generated domain, so we shall call these groups highly representable or HR-groups. Abelian, …
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Admissible orders on quotients of the free associative algebra
<p>An admissible order on a multiplicative basis of a noncommutative algebra A is a term order satisfying additional conditions that allow for the construction of Grobner bases for A -modules. When A is commutative, a finite reduced Grobner basis for an A -module can always be obtained, but when A …
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The Complete and Elementary Symmetric Functions as Quotients of Determinants
The standard definition of a Schur symmetric function, is as a quotient of a determinant
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GT-shadows related to finite quotients of the full modular group
GT-shadows are tantalizing objects that can be thought of as “approximations” to elements of the mysterious Grothendieck-Teichmueller group GT introduced by V. Drinfeld in 1990 [5]. GT-shadows [4] form a groupoid whose objects are certain finite index normal subgroups of Artin’s braid group B4 on 4 …
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Homology products on Z2-quotients of free loop spaces of spheres
We construct products on the homology of quotients by finite group actions of the free loop space ΛM of a compact manifold M. We compute some of the these products in the case M is as sphere. We show that there are nonnilpotent classes with respect to these products for spheres. The energy …
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Automorphism Groups and Quotients of Strongly Connected Automata and Monadic Algebras
Made available in DSpace on 2014-12-09T22:17:29Z (GMT). No. of bitstreams: 1 6612289.pdf: 2156947 bytes, checksum: 7ec255a282e65238287517c49612b88c (MD5) Previous issue date: 1966
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The inverse limit of GIT quotients of Grassmannians by the maximal torus
There are finitely many GIT quotients of 𝐺(3 𝑛) by maximal torus and between each two there is a birational map. These GIT quotients and the flips between them form an inverse system. This thesis describes this inverse system first and then, describes the inverse limit of this inverse system as a …
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Del Pezzo surfaces with irregularity and intersection numbers on quotients in geometric invariant theory
This thesis comprises two parts covering distinct topics in algebraic geometry. In Part I, we construct the first examples of regular del Pezzo surfaces for which the first cohomology group of the structure sheaf is nonzero. Such surfaces, which only exist over imperfect fields, arise as generic …
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QUOTIENTS, EQUIVALENCE RELATIONS, AND NORMALITY IN NON-ASSOCIATIVE ALGEBRA WITH REGARDS TO LOOPS AND QUASIGROUPS
… will contain a detailed overview of relations, quotients, normality, loops, quasigroups, and related theorems and varieties. Nonassociative algebra is a relatively new area of mathematics, it came about in the past hundred years, and has started making progress in the past 60 years. In …
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On the Quantum Cohomology of Fano Toric Manifolds and the Intersection Cohomology of Singular Symplectic Quotients
The second result computes the intersection cohomology of the singular symplectic reduced spaces. Let M be a closed symplectic manifold with a Hamiltonian S1-action defined on it and mu is the moment map. If 0 is a singular value of mu, the reduced space mu-1(0)/S1 is, in general, no longer an …
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Cycle-Free Twisted Face-Pairing 3-Manifolds
In 2-dimensional topology, quotients of polygons by edge-pairings provide a rich source of examples of closed, connected, orientable surfaces. In fact, they provide all such examples. The 3-dimensional analogue of an edge-pairing of a polygon is a face-pairing of a faceted 3-ball. Unfortunately, …
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$\textit{K}$-Theory of Fermat Curves
I investigate the $K_2$ groups of the quotients of Fermat curves given in projective coordinates by the equation $F_n:X^n+Y^n=Z^n$. On any quotient where the number of known elements is equal to the rank predicted by Beilinson’s Conjecture I verify numerically that the determinant of the matrix of …
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Shared Control Based on Predictability Analysis With Application to Human-SuperLimb Collaboration
… the demonstration data by computing Lipschitz quotients and informs the level of predictability of the desired action independent of the prediction model. The Lipschitz quotients tend to be very high in some situations due to the information discrepancy between humans and robots and lower when …
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A comparison of preschool attainment record ratings by parents and teachers of forty five-year-old lower- and middle-income children
Preschool Attainment Record Attainment Quotients and Category scores were compared to determine whether there were significant differences between the way parents and teachers evaluate 5-year-old children. The subjects were 20 Head Start and 20 middle-income children as well as their mothers, …
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On Morita Equivalences Between KLR Algebras and VV Algebras
… when trying to de�ne �nite-dimensional quotients of these algebras. Finally, in certain settings, we show how to de�ne these quotients and explain how they relate to cyclotomic KLR algebras.
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