نتایج جستجو برای: algebraic dual
تعداد نتایج: 211314 فیلتر نتایج به سال:
In this paper, we propose a theory which unifies kernel learning and symbolic algebraic methods. We show that both worlds are inherently dual to each other, and we use this duality to combine the structure-awareness of algebraic methods with the efficiency and generality of kernels. The main idea lies in relating polynomial rings to feature space, and ideals to manifolds, then exploiting this g...
The multiple zeta values (MZVs) possess a rich algebraic structure of algebraic relations, which is conjecturally determined by two different (shuffle and stuffle) products of a certain algebra of noncommutative words. In a recent work, Bachmann constructed a q-analogue of the MZVs — the so-called bi-brackets — for which the two products are dual to each other, in a very natural way. We overvie...
It's argued that Information-Theoretical restrictions for the systems selfdescription are important for Quantum Measurement problem. As follows from Breuer theorem, for the quantum object S measurement by information system O they described by O restricted states RO. RO ansatz can be introduced phenomenologically from the consistency with Shrödinger dynamics and measurement statistics. The anal...
The Milnor-Hirzebruch class of a locally complete intersection X in an algebraic manifold M measures the difference between the (Poincaré dual of the) Hirzebruch class of the virtual tangent bundle of X and, respectively, the Brasselet-Schürmann-Yokura (homology) Hirzebruch class of X . In this note, we calculate the Milnor-Hirzebruch class of a globally defined algebraic hypersurface X in term...
Algebraic data types and catamorphisms (generic folds) play a central role in functional programming as they allow programmers to define recursive tree-like data structures and operations on them uniformly by structural recursion. Likewise, in object-oriented programming recursive hierarchies of objects play a central role for the same reason, although the execution is quite different. There is...
We investigate and visualize the manifold M of planes that intersect six straight lines of real projective three space in points of a conic section. It is dual to the apex-locus of the cones of second order that have six given tangents. In general M is algebraic of dimension two and class eight. It has 30 single and six double lines. We consider special cases, derive an algebraic equation of th...
In this paper, we take advantage of a class one-generator generalized quasi-cyclic (GQC) codes index 2 to construct quantum error-correcting codes. By studying the form Hermitian dual and their algebraic structure, propose sufficient condition for self-orthogonality GQC with inner product. comparison, constructed have better parameters than known
Lind and Schmidt have shown that the homoclinic group of a cyclic Z algebraic dynamical system is isomorphic to the dual of the phase group. We show that this duality result is part of an exact sequence if k = 1. The exact sequence is a well known algebraic object, which has been applied by Schmidt in his work on rigidity. We show that it can be derived from dynamical considerations only. The c...
From Hilbert’s theorem of zeroes, and from Noether’s ideal theory, Birkhoff [1] derived certain algebraic concepts (as explained by Tholen [10]) that have a dual significance in general toposes, similar to their role in the original examples of algebraic geometry. I will describe a simple example that illustrates some of the aspects of this relationship. The dualization from algebra to geometry...
در دهه اخیر، ساختار فراماده الکترومغناطیسی توجه زیادی را در فیزیک و جوامع مهندسی به خود جلب کرده است. فراماده ساختاری است الکترومغناطیسی با خصوصیات همگن ومصنوعی که دارای خواص غیر عادی می¬باشد. این ساختارضریب گذردهی الکتریکی منفی و ضریب نفوذپذیری مغناطیسی منفی دارد و تحت عنوان ساختار چپگرد شناخته می¬شود. ابعاد سلولی آنها از طول موج کوچکتر است. این ساختار در طبیعت یافت نمی شوند. انتشار امواج در ا...
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