Results 21 to 30 of about 2,302,459 (290)
Multilocal invariants for the classical groups
International Journal of Mathematics and Mathematical Sciences, 2003 Multilocal higher-order invariants, which are higher-order invariants defined at distinct points of representation space, for the classical groups are derived in a systematic way.
Paul F. Dhooghe
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Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules [PDF]
Sahand Communications in Mathematical AnalysisIn the present paper, we introduce the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type for the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and ...
Mohamed Rossafi +2 more
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DIFFERENTIAL GEOMETRY OF THE q-PLANE [PDF]
International Journal of Modern Physics A, 2000 Hopf algebra structure on the differential algebra of the extended q-plane is defined. An algebra of forms which is obtained from the generators of the extended q-plane is introduced and its Hopf algebra structure is given.
Çelik, Sultan, Çelik, Salih
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Geometry of skeletal structures and symmetry sets [PDF]
, 2012 In this thesis we study the geometry of symmetry sets and skeletal structures. The relationship between a symmetry point (skeletal point) and the associated midlocus point is studied and the impact of the singularity of the radius function on this ...
Alghanemi, Azeb Zain Jafar
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Differential geometry of gerbes
Advances in Mathematics, 2005 78 pages. Uses XyPic. A number of significant additions have been incorporated into this version. This includes a description of the coboundary relations in full generality, as well as a Cech-de Rham interpretation of the cocycle and coboundary relations for the 3-curvature of a gerbe with connection.
Breen, Lawrence, Messing, William
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Functional Segmentation for Preoperative Liver Resection Based on Hepatic Vascular Networks
IEEE Access, 2021 Successful liver resection relies on accurate estimation of future liver remnant volume (FLRV). According to Couinaud's scheme, a liver is composed of eight functionally independent segments, each of which has its own vascular in- and out-flow tracks ...
Doan Cong Le +3 more
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Using Differential Geometry to Revisit the Paradoxes of the Instantaneous Frequency
IEEE Open Access Journal of Power and Energy, 2022 This paper proposes a general framework to interpret the concept of Instantaneous Frequency (IF) in three-phase systems. The paper first recalls the conventional frequency-domain analysis based on the Fourier transform as well as the definition of IF ...
Federico Milano +4 more
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A Set of Axioms for Differential Geometry [PDF]
Proceedings of the National Academy of Sciences, 1931 Publisher Summary This chapter discusses a set of axioms for differential geometry. The chapter presents the axioms that are intended to describe the class of manifolds of n dimensions to which the theories, grouped together under the heading of differential geometry, are applicable.
Veblen, O., Whitehead, J. H. C.
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Geometrical modeling and numerical analysis of edge dislocation
Nihon Kikai Gakkai ronbunshu, 2021 In this study, we conduct modeling and numerical analysis of a straight edge dislocation in a three-dimensional geometrically nonlinear elastic medium.
Shunsuke KOBAYASHI, Ryuichi TARUMI
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On preferred point geometry in statistics [PDF]
, 2001 A brief synopsis of progress in differential geometry in statistics is followed by a note of some points of tension in the developing relationship between these disciplines. The preferred point nature of much of statistics is described and suggests the
Marriott, P. +9 more
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