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Showing 1 to 12 of 12 for “"Involutive"”.
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Singuläre Modulformen und involutive Algebren
In dieser Dissertation wird die Theorie der Siegelschen Modulformen, insbesondere die von E. Freitag in den LNM 1487 (Singular Modular Forms and Theta Relations) gewonnenen Resultate verallgemeinert. Ausgangspunkt der Arbeit ist eine endlich-dimensionale Algebra über den rationalen Zahlen, …
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An F4-Style Involutive Basis Algorithm
… uses matrix reduction to compute efficiently. Involutive Basis algorithm [8, 1, 12] is an effective method avoiding much ambiguity in the other algorithms.</p> <p>In Chapters 1 and 2 we describe two well-known methods of computing Gröbner Basis called Buchberger’s and F4 algorithm. In Chapter 3 …
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The Combinatorics of Involutive Bases: Theory, algorithms and applications
… objects and combinatorics is the use of involutive bases, along with other types of Gröbner bases that exhibit additional combinatorial properties. In particular, the nice combinatorial properties that come along with these bases enable applications in other areas, such as system …
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New methods for the integration of distributions of vector fields
… expressions for the integral manifolds of involutive distributions of vector fields. In particular, it is focused on the important particular case of distributions generated by the vector fields associated to ordinary differential equations (ODEs). We introduce the concept of …
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Unilinear Residuated Lattices
… for various subvarieties. Finally, we study the involutive unilinear residuated lattices and give the characterization of a class of commutative 1-involutive compact unilinear residuated lattices. We present some open problems and future work at the end.</p>
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Symbolic-numeric algorithms for simplifying differential systems and their application to the determination of approximate Lie symmetry algebras
… are necessary. In this thesis, the Geometric Involutive Form is mainly used to perform numerical differential elimination of linear homogeneous DE systems. However, the application of GIF to the whole system leads to singular value decomposition on large matrices. To reduce the size of …
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Aspects of spectral theory for algebras of measurable operators
… operators of a particular kind form an involutive algebra under the strong sum and product. Algebras of this kind can usually be equipped with a topology modelled on the topology of convergence in measure under which they become topological algebras. The emphasis in this thesis is on a …
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The Schurian association schemes associated with parabolic subgroups of Coxeter groups
… respect to maximal parabolic subgroups have the involutive double coset property. For infinite affine string Coxeter groups, this property was only known to occur in the case of the vertex stabilizer for the types ˜C2 and ˜G 2, our new work adds the infinite Coxeter groups of type ˜Cn(n > 2) and …
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APPROXIMATE GROBNER BASES A BACKWARDS APPROACH
… jet theory of partial differential equations: an involutive basis. This direction, motivated by approximate systems, will allow us to avoid the strict monomial orderings and ordered elimination (reduction) strategies, at the heart of Buchberger-type methods, which are usually numerically unstable. …
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Differential systems, moving frames, structure-preserving submersions and geometrical problems in physics
… an algorithm which we have named “the method of involutive seeds”. By using this method, we can rapidly determine the number of free functions that we must specify in order to completely specify the problem, which we will call the “degree of arbitrariness” of the problem, and which for many …
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Metodología proyectiva en espacios no convencionales : aplicaciones al plano ciclico
… the study of the inversión. It gives rise to an involutive projective transformation of the space of circles.
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The Finite Embeddability Property for Some Noncommutative Knotted Varieties of RL and DRL
… These subvarieties include the cyclic, cyclic-involutive, and representable ones.</p> <p>Chapter 5 details a proof for the fully distributive case. Here we enrich the free object discovered in Chapter 4 by creating the meet semilattice generated by it.</p> <p>We remark that the FEP for a …