Academic literature on the topic 'Description of Hypersurfaces'

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Journal articles on the topic "Description of Hypersurfaces"

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Dürr, Detlef, and Matthias Lienert. "On the description of subsystems in relativistic hypersurface Bohmian mechanics." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2169 (2014): 20140181. http://dx.doi.org/10.1098/rspa.2014.0181.

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A candidate for a realistic relativistic quantum theory is the hypersurface Bohm–Dirac model. Its formulation uses a foliation of space–time into space-like hypersurfaces. In order to apply the theory and to make contact with the usual quantum formalism, one needs a framework for the description of subsystems. The presence of spin together with the foliation renders the subsystem description more complicated than in the non-relativistic case with spin. In this paper, we provide such a framework in terms of an appropriate conditional density matrix and an effective wave function as well as clar
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Tripoli, Paolo. "Tropical Chow Hypersurfaces." International Mathematics Research Notices 2019, no. 14 (2017): 4302–24. http://dx.doi.org/10.1093/imrn/rnx260.

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Abstract Given a projective variety $X\subset\mathbb{P}^n$ of codimension $k+1$, the Chow hypersurface $Z_X$ is the hypersurface of the Grassmannian $\operatorname{Gr}(k, n)$ parametrizing projective linear spaces that intersect $X$. We introduce the tropical Chow hypersurface $\operatorname{Trop}(Z_X)$. This object only depends on the tropical variety $\operatorname{Trop}(X)$ and we provide an explicit way to obtain $\operatorname{Trop}(Z_X)$ from $\operatorname{Trop}(X)$. We also give a geometric description of $\operatorname{Trop}(Z_X)$. We conjecture that, as in the classical case, $\opera
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Kossovskiy, Ilya, and Dmitri Zaitsev. "Convergent normal form for real hypersurfaces at a generic Levi-degeneracy." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 749 (2019): 201–25. http://dx.doi.org/10.1515/crelle-2016-0034.

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Abstract We construct a complete convergent normal form for a real hypersurface in {\mathbb{C}^{N}} , {N\geq 2} , at a generic Levi-degeneracy. This seems to be the first convergent normal form for a Levi-degenerate hypersurface. As an application of the convergence result, we obtain an explicit description of the moduli space of germs of real-analytic hypersurfaces with a generic Levi-degeneracy. As another application, we obtain, in the spirit of the work of Chern and Moser [6], distinguished curves inside the Levi-degeneracy set that we call degenerate chains.
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Barrabes, C. "Singular hypersurfaces in general relativity: a unified description." Classical and Quantum Gravity 6, no. 5 (1989): 581–88. http://dx.doi.org/10.1088/0264-9381/6/5/003.

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Dariusz Stanisław Sobolewski, Michał Amadeusz Sobolewski, Marek Juliusz Sobolewski, Joanna Paulina Sobolewska, and Natalia Julia Sobolewska. "New Generations of Rocket Engines." JOURNAL OF ADVANCES IN PHYSICS 17 (May 22, 2020): 322–46. http://dx.doi.org/10.24297/jap.v17i.8747.

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The article, based on mathematical model of the space and particles revealed in "Theory of Space" (Sobolewski D. S., Theory of Space, 2016) (Sobolewski D. S., Theory of Space, 2017) and the description of the propagation of photons stated in publication entitled “Geometry of the Dark Matter and Preliminary Analysis of Alpha and Beta Photons’ Properties Based on Theory of Space” (Sobolewski, Sobolewski i Sobolewski, 2017), describes transverse waves propagating in space, including gravitational, fluctuating and matter waves. In particular, it focuses on waves of matter in which orientation of t
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Gaifullin, Sergey, and Yulia Zaitseva. "On homogeneous locally nilpotent derivations of trinomial algebras." Journal of Algebra and Its Applications 18, no. 10 (2019): 1950196. http://dx.doi.org/10.1142/s0219498819501962.

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We provide an explicit description of homogeneous locally nilpotent derivations of the algebra of regular functions on affine trinomial hypersurfaces. As an application, we describe the set of roots of trinomial algebras.
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Craizer, Marcos, Marcelo J. Saia, and Luis F. Sánchez. "Affine focal sets of codimension-2 submanifolds contained in hypersurfaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 148, no. 5 (2018): 995–1016. http://dx.doi.org/10.1017/s0308210518000100.

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In this paper we study the affine focal set, which is the bifurcation set of the affine distance to submanifolds Nn contained in hypersurfaces Mn+1 of the (n + 2)-space. We give conditions under which this affine focal set is a regular hypersurface and, for curves in 3-space, we describe its stable singularities. For a given Darboux vector field ξ of the immersion N ⊂ M, one can define the affine metric g and the affine normal plane bundle . We prove that the g-Laplacian of the position vector belongs to if and only if ξ is parallel. For umbilic and normally flat immersions, the affine focal s
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Ran, Z. "On the period maps of projective hypersurfaces." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 127, no. 4 (1997): 859–69. http://dx.doi.org/10.1017/s0308210500023878.

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This paper gives an explicit infinitesimal (to all orders) description of the period map associated to a smooth projective hypersurface, as well as related objects such as the full Hodge filtration on the middle cohomology, the local moduli space and the Gauss–Manin connection and its iterates.
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BIGAZZI, FRANCESCO, and LUCA LUSANNA. "SPINNING PARTICLES ON SPACELIKE HYPERSURFACES AND THEIR REST FRAME DESCRIPTION." International Journal of Modern Physics A 14, no. 09 (1999): 1429–84. http://dx.doi.org/10.1142/s0217751x99000749.

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A new spinning particle with a definite sign of the energy is defined on spacelike hypersurfaces after a critical discussion of the standard spinning particles. It is the pseudoclassical basis of the positive energy [Formula: see text] [or negative energy [Formula: see text]] part of the [Formula: see text] solutions of the Dirac equation. The study of the isolated system of N such spinning charged particles plus the electromagnetic field leads to their description in the rest frame Wigner-covariant instant form of dynamics on the Wigner hyperplanes orthogonal to the total four-momentum of the
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Atanov, A. V., I. G. Kossovskiy, and A. V. Loboda. "On orbits of action of 5-dimensional non-solvable Lie algebras in three-dimensional complex space." Доклады Академии наук 487, no. 6 (2019): 607–10. http://dx.doi.org/10.31857/s0869-56524876607-610.

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After the description by E. Cartan in 1932 holomorphically homogeneous real hypersurfaces of two-dimensional complex spaces, a similar study in the 3-dimensional case remains incomplete. In a series of works performed by several international teams of authors, the problem is reduced to describing homogeneous surfaces that are non-degenerate in Levi sense and have exactly 5-dimensional Lie algebras of holomorphic vector fields. In this paper, precisely such homogeneous surfaces are investigated. At the same time, a significant part of the extensive list of abstract 5-dimensional Lie algebras do
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Dissertations / Theses on the topic "Description of Hypersurfaces"

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Ritter, Robert. "Verformungsverhalten und Grenzflächen von Ultrahochleistungsbeton unter mehraxialer Beanspruchung." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-132747.

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Treten im Beton mehraxiale Spannungszustände auf, führen diese gegenüber einer einaxialen Beanspruchung zu einer signifikanten Änderung des Materialverhaltens. Neben einer festigkeitssteigernden bzw. -abmindernden Wirkung ergeben sich ebenfalls große Unterschiede im Spannungs-Dehnungs-Verhalten. Zur effizienten Konzipierung von Betonstrukturen unter komplexen Beanspruchungszuständen ist daher die Kenntnis des veränderten Materialverhaltens notwendig. Zur experimentellen Bestimmung des Spannungs-Dehnungs-Verhaltens eines Ultrahochleistungsbetons mit einer einaxialen Druckfestigkeit von über 170
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Ritter, Robert. "Verformungsverhalten und Grenzflächen von Ultrahochleistungsbeton unter mehraxialer Beanspruchung." Doctoral thesis, 2013. https://tud.qucosa.de/id/qucosa%3A27466.

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Treten im Beton mehraxiale Spannungszustände auf, führen diese gegenüber einer einaxialen Beanspruchung zu einer signifikanten Änderung des Materialverhaltens. Neben einer festigkeitssteigernden bzw. -abmindernden Wirkung ergeben sich ebenfalls große Unterschiede im Spannungs-Dehnungs-Verhalten. Zur effizienten Konzipierung von Betonstrukturen unter komplexen Beanspruchungszuständen ist daher die Kenntnis des veränderten Materialverhaltens notwendig. Zur experimentellen Bestimmung des Spannungs-Dehnungs-Verhaltens eines Ultrahochleistungsbetons mit einer einaxialen Druckfestigkeit von über 17
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Book chapters on the topic "Description of Hypersurfaces"

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Fusco, R., L. Caccianotti, and C. Tosi. "Detection and Structural Description of the Deepest Minima in a Potential Energy Hypersurface." In Proceedings of the First Donegani Scientific Workshop on Strategies for Computer Chemistry. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2599-1_16.

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"General Description of an Impulsive Light—Like Signal." In Singular Null Hypersurfaces in General Relativity. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812796639_0002.

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Ikromov, Isroil A., and Detlef Müller. "Proofs of Propositions 1.7 and 1.17." In Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra (AM-194). Princeton University Press, 2016. http://dx.doi.org/10.23943/princeton/9780691170541.003.0009.

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This chapter showcases the remaining proofs of two results from the first chapter. It turns to the first of these results, based on a proposition made Chapter 1, on the characterization of linearly adapted coordinates. The chapter separately proves the two conditions discussed in the first proposition, before moving on to the next proposition. The second proposition obtained from Chapter 1 is about an invariant description of the notion of r-height. The chapter proves both parts of the proposition at the same time, which proves in the process an inequality from Chapter 9 before arriving at the proof of the proposition proper.
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Klainerman, Sergiu, and Jérémie Szeftel. "Main Theorem." In Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691212425.003.0003.

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This chapter presents the main theorem, its main conclusions, as well as a full strategy of its proof, divided in nine supporting intermediate results, Theorems M0–M8. The chapter specifies the closeness to Schwarzschild of the initial data in the context of the Characteristic Cauchy problem. The conclusions of the main theorem can be immediately extended to the case where the data are specified to be close to Schwarzschild on a spacelike hypersurface Σ‎. The chapter then outlines the main bootstrap assumptions. It also provides a short description of the results concerning the General Covariant Modulation procedure, which is at the heart of the proof.
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Conference papers on the topic "Description of Hypersurfaces"

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Gao, Qingbin, Zhenyu Zhang, and Chifu Yang. "Sign Inverting Control and its Important Properties for Multiple Time-Delayed Systems." In ASME 2017 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/dscc2017-5253.

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This paper provides new results for a newly introduced control scheme, Sign Inverting Control (SIC), for linear time-invariant multiple time delay systems (LTI-MTDS). SIC suggests the inversion of the control polarity for delayed systems and it functions with one single requirement that the union of the control schemes provides a larger operating region in the domain of the delays than each of its components does. To meet this need, we propose a new method to characterize the potential stability-switching hypersurfaces for SIC applied systems. The acquisition of these hypersurfaces is a prereq
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Restrepo, Bernardo, Larry E. Banta, Alex J. Tsai, and David Tucker. "Combination of a Nonlinear Static and a Linear Dynamic Model of the NETL HyPer System." In ASME 2010 8th International Conference on Fuel Cell Science, Engineering and Technology. ASMEDC, 2010. http://dx.doi.org/10.1115/fuelcell2010-33111.

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A nonlinear steady-state thermodynamic model was coupled with linearized dynamic transfer functions to achieve a dynamic description of the NETL HyPer Fuel Cell Gas Turbine (FC/GT) power plant. Nonlinear dynamic models insure accuracy in modeling steady-state behavior over a wide range of operation, but such models are often complex and difficult to implement in real-time using conventional control systems equipment. Conversely, the linearized models provide the ability to predict transient behavior upon which dynamic control systems can be constructed, but are valid only about a narrow operat
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