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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 1363 for “"Algebraic"”.
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Algebraic dependence testing in the perspective of algebraic matroids
We study the computational problem called algebraic dependence testing, where we seek to find a polynomial relation among a set of polynomials. This notion generalizes linear dependence, and understanding it has had applications to deterministic polynomial identity testing and algebraic circuit …
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Algebraic finite domination
This thesis focuses on proving a finite domination condition on bounded chain complexes of finitely generated free R-modules where R is a strongly Zn-graded ring.
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Algebraic terminological representation
… knowledge representation systems, from an algebraic point of view. Terminological representation languages are based on two primitive syntactic types, called concepts and roles, which are usually interpreted model-theoretically as sets and relations, respectively. I propose an algebraic …
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Derived algebraic geometry
… the foundations for a theory of derived algebraic geometry based upon simplicial commutative rings. We define derived versions of schemes, algebraic spaces, and algebraic stacks. Our main result is a derived analogue of Artin's representability theorem, which provides a precise criteria …
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Cryptanalysis by Algebraic Relations
Algebraic relations are a high-degree generalization of linear relationships. Given an algebraic relation it is possible to predict the outcome of single components of a polynomial equation system or refute points that do not lie in the image of a polynomial map. This work investigates the …
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Quantum Algebraic Geometry Codes
… error correction codes derived from classical algebraic geometry (AG) codes. We present two distinct construction techniques, highlighting the flexibility and self-orthogonality of AG codes, and demonstrate their ability to produce asymptotically good quantum codes. Additionally, we explore …
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An Algebraic Circle Method
In this thesis we present an adaptation of the Hardy-Littlewood Circle Method to give estimates for the number of curves in a variety over a finite field. The key step in the classical Circle Method is to prove that some cancellation occurs in some exponential sums. Using a theorem of Katz, we …
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Data parallel algebraic multigrid
Algebraic multigrid methods for large, sparse linear systems are central to many computational simulations. Parallel algorithms for such solvers are generally decomposed into coarse-grain tasks suitable for distributed computers with traditional processing cores. Accelerating multigrid methods on …
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Algebraic Decomposition of Automata
Made available in DSpace on 2014-12-11T18:24:00Z (GMT). No. of bitstreams: 1 7405516.pdf: 2074033 bytes, checksum: 31933cef7084628a3b4ddc0a7e86c8ae (MD5) Previous issue date: 1973
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Algebraic Structure in Geometry
Made available in DSpace on 2014-12-10T18:44:48Z (GMT). No. of bitstreams: 1 7121125.pdf: 9712221 bytes, checksum: a9ad398084728ae15354499b3bb2fe99 (MD5) Previous issue date: 1971
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Polynomials in algebraic combinatorics
A long-standing theme in algebraic combinatorics is to study bases of the rings of symmetric functions, quasisymmetric functions, and polynomials. Classically, these bases are homogeneous functions, however, the introduction of K-theoretic combinatorics has led to increased interest in finding …
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Second-Order Algebraic Theories
… metavariables. This dissertation completes the algebraic foundations of second-order languages from the viewpoint of categorical algebra. In particular, the dissertation introduces the notion of second-order algebraic theory. A main role in the definition is played by the second-order theory of …
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Stability of algebraic manifolds
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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Integration of algebraic functions
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1984.
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Algebraic criteria for quadric surfaces
Not available
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Algebraic closures in complexity theory
We use algebraic closures and structures which are derived from these in complexity theory. We classify problems with Boolean circuits and Boolean constraints according to their complexity. We transfer algebraic structures to structural complexity. We use the generation problem to classify …
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Arithmetic statistics of algebraic groups
… various problems in the arithmetic statistics of algebraic groups, focusing on the distribution and properties of algebraic groups of number-theoretic interest. New results obtained throughout this thesis are unified by the development and application of methods, primarily from analytic number …
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Algebraic methods in graph theory
The algebraic methods have been very successful in understanding the structural properties of graphs. In general, we can use the eigenvalues of the adjacency matrix of a graph to study various properties of graphs. In this thesis, we obtain the whole spectrum of a family of graphs called Wenger …
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Algebraic Curves Over Supersimple Fields
In this work we are concerned with algebraic curves over supersimple fields. First it is proved that an elliptic curve defined over a supersimple field K whose j-invariant is s-generic over empty has a rational point over K which is s-generic over the set of parameters used to define the curve. …
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Equivariant Embeddings of Algebraic Groups
We classify embeddings of algebraic groups as open orbits in affine varieties, generalizing results from toric geometry to connected reductive groups. In particular, we show that an embedding is determined by the set of one-parameter subgroups that have a limit in the embedding. We then investigate …
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