Academic literature on the topic 'Index of a singular point'

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Journal articles on the topic "Index of a singular point"

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ENOMOTO, Ryuji, and Masasuke SHIMA. "Singular Point Assignment via the Conley Index Theory." Transactions of the Society of Instrument and Control Engineers 34, no. 6 (1998): 584–92. http://dx.doi.org/10.9746/sicetr1965.34.584.

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Iwasokun, Gabriel Babatunde, and Oluwole Charles Akinyokun. "Fingerprint Singular Point Detection Based on Modified Poincare Index Method." International Journal of Signal Processing, Image Processing and Pattern Recognition 7, no. 5 (October 31, 2014): 259–72. http://dx.doi.org/10.14257/ijsip.2014.7.5.23.

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BRACCI, FILIPPO, and TATSUO SUWA. "RESIDUES FOR SINGULAR PAIRS AND DYNAMICS OF BIHOLOMORPHIC MAPS OF SINGULAR SURFACES." International Journal of Mathematics 15, no. 05 (July 2004): 443–66. http://dx.doi.org/10.1142/s0129167x04002375.

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We prove the existence of a parabolic curve for a germ of biholomorphic map tangent to the identity at an isolated singular point of a surface under some conditions. For this purpose, we present a Camacho–Sad type index theorem for fixed curves of biholomorphic maps of singular surfaces and develop a local intersection theory of curves in singular surfaces from an analytic approach by means of Grothendieck residues.
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Su, Hua, Lishan Liu, and Xinjun Wang. "Solutions forp-Laplacian Dynamic Delay Differential Equations on Time Scales." Journal of Applied Mathematics 2012 (2012): 1–23. http://dx.doi.org/10.1155/2012/652465.

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LetTbe a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem withp-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem withp-Laplacian operator is obtained.
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Su, Hua, Lishan Liu, and Xinjun Wang. "Higher-Order Dynamic Delay Differential Equations on Time Scales." Journal of Applied Mathematics 2012 (2012): 1–19. http://dx.doi.org/10.1155/2012/939162.

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We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-orderp-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem withp-Laplacian operator are obtained.
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Azamov, Nurulla, and Tom Daniels. "Resonance index and singular μ-invariant." Analysis 40, no. 3 (August 1, 2020): 151–61. http://dx.doi.org/10.1515/anly-2019-0053.

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AbstractGiven a self-adjoint operator and a relatively trace class perturbation, one can associate the singular spectral shift function – an integer-valued function on the real line which measures the flow of singular spectrum, not only at points outside of the essential spectrum, where it coincides with the classical notion of spectral flow, but at points within the essential spectrum too. The singular spectral shift function coincides with both the total resonance index and the singular μ-invariant. In this paper we give a direct proof of the equality of the total resonance index and singular μ-invariant assuming only the limiting absorption principle and no condition of trace class type – a context in which the existence of the singular spectral shift function is an open question. The proof is based on an application of the argument principle to the poles and zeros of the analytic continuation of the scattering matrix considered as a function of the coupling parameter.
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Sun, Yan, Lishan Liu, and Yeol Je Cho. "Positive solutions of singular nonlinear Sturm-Liouville boundary value problems." ANZIAM Journal 45, no. 4 (April 2004): 557–71. http://dx.doi.org/10.1017/s1446181100013560.

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AbstractBy using fixed point index theory, we present the existence of positive solutions for a Sturm-Liouville singular boundary value problem with at least one positive solution. Our results significantly extend and improve many known results even for non-singular cases.
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Zabreiko, P. P., and A. V. Krivko-Krasko. "Poincaré index of plane polynomial fields of third and fourth degree." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 55, no. 1 (March 26, 2019): 22–31. http://dx.doi.org/10.29235/1561-2430-2019-55-1-22-31.

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The conditions of isolation of a zero singular point of plane polynomial fields of third and fourth degree are considered in terms of the coefficients of the components of these fields. The isolation conditions depend on the greatest common divisor of the components of polynomial fields: in some cases only on its degree, and in some cases, additionally, on the presence of nonzero real zeros. The reasoning, which allows one to write out the isolation conditions, is based on the concept of the resultant and subresultants of components of plane polynomial fields. If the zero singular point is isolated, its index is calculated through the values of subresultants and coefficients of components.
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Pukhlikov, A. V. "Birationally Rigid Complete Intersections with a Singular Point of High Multiplicity." Proceedings of the Edinburgh Mathematical Society 62, no. 1 (September 26, 2018): 221–39. http://dx.doi.org/10.1017/s0013091518000184.

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AbstractWe prove the birational rigidity of Fano complete intersections of index 1 with a singular point of high multiplicity, which can be close to the degree of the variety. In particular, the groups of birational and biregular automorphisms of these varieties are equal, and they are non-rational. The proof is based on the techniques of the method of maximal singularities, the generalized 4n2-inequality for complete intersection singularities and the technique of hypertangent divisors.
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Sakkalis, Takis. "The computation of the index of a Morse function at a critical point." International Journal of Mathematics and Mathematical Sciences 11, no. 4 (1988): 721–26. http://dx.doi.org/10.1155/s0161171288000870.

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A theoretical approach in computing the index of a Morse function at a critical point on a real non-singular hypersurfaceVis given. As a consequence the Euler characteristic ofVis computed. In the case where the hypersurface is polynomial and compact, a procedure is given that finds a linear functionℓ, whose restrictionℓ|V, is a Morse function onV.
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Dissertations / Theses on the topic "Index of a singular point"

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Oinas, J. (Janne). "The degree theory and the index of a critical point for mappings of the type (S+)." Doctoral thesis, University of Oulu, 2007. http://urn.fi/urn:isbn:9789514284878.

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Abstract The dissertation considers a degree theory and the index of a critical point of demi-continuous, everywhere defined mappings of the monotone type. A topological degree is derived for mappings from a Banach space to its dual space. The mappings satisfy the condition (S+), and it is shown that the derived degree has the classical properties of a degree function. A formula for the calculation of the index of a critical point of a mapping A : X→X* satisfying the condition (S+) is derived without the separability of X and the boundedness of A. For the calculation of the index, we need an everywhere defined linear mapping A' : X→X* that approximates A in a certain set. As in the earlier results, A' is quasi-monotone, but our situation differs from the earlier results because A' does not have to be the Frechet or Gateaux derivative of A at the critical point. The theorem for the calculation of the index requires a construction of a compact operator T = (A' + Γ)-1Γ with the aid of linear mappings Γ : X→X and A'. In earlier results, Γ is compact, but here it need only be quasi-monotone. Two counter-examples show that certain assumptions are essential for the calculation of the index of a critical point.
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Fedosov, Boris, Bert-Wolfgang Schulze, and Nikolai Tarkhanov. "On the index formula for singular surfaces." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2511/.

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In the preceding paper we proved an explicit index formula for elliptic pseudodifferential operators on a two-dimensional manifold with conical points. Apart from the Atiyah-Singer integral, it contains two additional terms, one of the two being the 'eta' invariant defined by the conormal symbol. In this paper we clarify the meaning of the additional terms for differential operators.
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Fedosov, Boris, Bert-Wolfgang Schulze, and Nikolai N. Tarkhanov. "The index of higher order operators on singular surfaces." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2512/.

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The index formula for elliptic pseudodifferential operators on a two-dimensional manifold with conical points contains the Atiyah-Singer integral as well as two additional terms. One of the two is the 'eta' invariant defined by the conormal symbol, and the other term is explicitly expressed via the principal and subprincipal symbols of the operator at conical points. In the preceding paper we clarified the meaning of the additional terms for first-order differential operators. The aim of this paper is an explicit description of the contribution of a conical point for higher-order differential operators. We show that changing the origin in the complex plane reduces the entire contribution of the conical point to the shifted 'eta' invariant. In turn this latter is expressed in terms of the monodromy matrix for an ordinary differential equation defined by the conormal symbol.
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Segovia, Carlos. "Extrapolation and commutators of singular integrals." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/97397.

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l. Introduction In these notes we shall present results concerning LP inequalities with different but related weights for commutators of singular and strongly singular integrals. These commutators turn out to be controlled by commutator of fractional order of the Hardy-Littlewood maximal operator. The boundedness properties are obtained by extrapolation from infinity. These notes are based mainly on [G-H-S-T].
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Kunkel, Curtis J. Henderson Johnny. "Positive solutions of singular boundary value problems." Waco, Tex. : Baylor University, 2007. http://hdl.handle.net/2104/5022.

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Capri, Osvaldo N., and Carlos Segovia. "Convergence of singular integrals in weighted L 1 spaces." Pontificia Universidad Católica del Perú, 2013. http://repositorio.pucp.edu.pe/index/handle/123456789/97142.

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Morón, Urbina Juan Carlos. "El vicio de la derogación singular de las normas reglamentarias." IUS ET VERITAS, 2017. http://repositorio.pucp.edu.pe/index/handle/123456789/123590.

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Shively, William F. Khveshchenko D. V. "Novel behaviors in fermion systems with point-like Fermi surfaces and singular interactions." Chapel Hill, N.C. : University of North Carolina at Chapel Hill, 2006. http://dc.lib.unc.edu/u?/etd,439.

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Thesis (Ph. D.)--University of North Carolina at Chapel Hill, 2006.
Title from electronic title page (viewed Oct. 10, 2007). "... in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the Department of Physics & Astronomy." Discipline: Physics and Astronomy; Department/School: Physics and Astronomy.
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Dalbelo, Thaís Maria. "O índice de Poincaré-Hopf e generalizações no caso singular." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-15032011-163543/.

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Neste trabalho,estudamos o índice de Poincaré-Hopf, definido para singularidades isoladas de campos de vetores sobre variedades diferenciáveis. Além disso, investigamos algumas definições de índices de campos de vetores definido sem variedades singulares, como o índice de Schwartz e o índice GSV. Estudaremos estes invariantes no caso específico em que (V; 0) é um germe de uma interseção completa com singularidade isolada na origem
In this work, we study thePoincaré-Hopf index, defined for isolated singularities of vector fields on manifolds. Moreover, we investigate some definitions of indices of vector fields defined on singular varieties, as the Schwartz index and the GSV index. We study these invariants in the case where (V; 0) is a germ of a complete intersection with an isolated singularity at the origin
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Turkan, Erkan Murat. "On The Index Of Fixed Point Subgroup." Phd thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613522/index.pdf.

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Let G be a finite group and A be a subgroup of Aut(G). In this work, we studied the influence of the index of fixed point subgroup of A in G on the structure of G. When A is cyclic, we proved the following: (1) [G,A] is solvable if this index is squarefree and the orders of G and A are coprime. (2) G is solvable if the index of the centralizer of each x in H-G is squarefree where H denotes the semidirect product of G by A. Moreover, for an arbitrary subgroup A of Aut(G) whose order is coprime to the order of G, we showed that when G is solvable, then the Fitting length f([G,A]) of [G,A] is bounded above by the number of primes (counted with multiplicities) dividing the index of fixed point subgroup of A in G and this bound is best possible.
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Books on the topic "Index of a singular point"

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Generalized Cauchy-Riemann systems with a singular point. Essex, England: Addison Wesley Longman, 1997.

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Ambrosetti, A. Periodic solutions of singular Lagrangian systems. Boston: Birkhäuser, 1993.

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The fixed point index and some applications. Montréal, Québec, Canada: Presses de l'Université de Montréal, 1985.

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Meesomboon, Anupap. Optimality at a junction point on a partially singular control trajectory. Manchester: UMIST, 1998.

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Suwa, T. Indices of vector fields and residues of singular holomorphic foliations. Paris: Hermann, 1998.

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Lindeboom, Maarten. Cut-point shift and index shift in self-reported health. Bonn, Germany: IZA, 2004.

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Instytut Matematyczny (Polska Akademia Nauk), ed. Fixed point index theory for a class of nonacyclic multivalued maps. Warszawa: Państwowe Wydawnictwo Naukowe, 1985.

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Latko, Martha Daugherty. Index to Crown Point schools, Center Township, Lake County, Indiana, school enumeration records, 1903-partial 1932. [Indiana]: [M. D. Latko], 2010.

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Simion, Samuela. Marco Polo, Il Devisement dou monde nella redazione veneziana V (cod. Hamilton 424 della Staatsbibliothek di Berlino). Venice: Edizioni Ca' Foscari, 2019. http://dx.doi.org/10.30687/978-88-6969-321-2.

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The volume contains the commented edition of the Devisement dou monde based on the Berlin Staatsbibliothek - Preußischer Kulturbesitz Codex, Hamilton 424. The Hamilton 424 Codex, transcribed in Venice in the second half of the fifteenth century, contains the translation of a Latin model (whose features can be partially reconstructed virtually starting from some translation errors) and is the only known witness of V. Due to its characteristics, V represents a crucial point in the definition of the transmission dynamics of Polo’s book: its readings are confirmed, often in a broader form, by the Latin version known as Z. V strengthens the hypothesis that, after returning to Venice, Marco Polo modified the text written with Rustichello da Pisa in Genoa. Actually, version V represents the first step of this long process of rewriting, which probably occurred in several phases. This volume includes an introduction, the text edition, a textual commentary, as well as an index. A second and forthcoming volume will contain the linguistic analysis and glossary.
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Ismailov, Nariman. Globalism and ecophilosophy of the future. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1212905.

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From the point of view of the new science of globalism, the problems of the ecological, socio-economic state of the world and countries are considered through the prism of the interaction of the human psyche and society and the inhabited world. The criteria of ecological civilization of countries and peoples are justified. Optimizing the consumption of natural bio-and energy resources is becoming a fundamental environmental factor for sustainable development. The "Law of the maximum for humanity" as the law of the biosphere can be the arbitration court, the neutral force that will explain the historical need for mutual understanding, taking into account the interests of ecology and economy for the survival of man as a biovid on Earth; a new reality will begin to form — the phenomenon of co-residence of the world society with the biosphere. The world's population, its energy and bio-consumption, as well as all living matter on the planet, must correspond to the biological capacity of the Earth and not go beyond its boundaries. The task of the society is to implement a worldview breakthrough at the current stage of development, its own cultural mutation, which in the future will create the basis for adaptive technological and socio-cultural development. The task is to classify the entire Earth as a "Green Book" and to solve systemic environmental problems of a global nature. An integral part of sustainable development should be the principle of "vital consumption" at both the personal and social level, instead of the dominant principle of"expanded production and consumption". The indicator of the" culture of consumption "of natural resources, both at the individual level and at the level of society, should be included as an integral part of the integral indicator in the "True Indicator of Progress" and the "Human Development Index". The book is interdisciplinary in nature; it is a kind of scientific and philosophical poetic essay intended for teachers and students of universities in the field of sociology, ecology, biology and related fields, as well as for everyone who cares about the future of society.
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Book chapters on the topic "Index of a singular point"

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Fedosov, Boris, B. W. Schulze, and Nikolai Tarkhanov. "A General Index Formula on Toric Manifolds with Conical Points." In Approaches to Singular Analysis, 234–56. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8253-8_8.

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Bliznyakov, N. M. "Cauchy indices and the index of a singular point of a vector field." In Lecture Notes in Mathematics, 1–20. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075956.

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Sakai, Makoto. "An index theorem on singular points and cusps of quadrature domains." In Mathematical Sciences Research Institute Publications, 119–31. New York, NY: Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-9602-4_10.

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Colonius, Fritz, and Wolfgang Kliemann. "Linearization at a Singular Point." In Systems & Control: Foundations & Applications, 255–307. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1350-5_7.

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Kloosterman, Remke. "Point Counting on Singular Hypersurfaces." In Lecture Notes in Computer Science, 327–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-79456-1_22.

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Zettl, Anton. "Two-point singular boundary value problems." In Mathematical Surveys and Monographs, 163–69. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/surv/121/09.

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Agarwal, Ravi P., and Donal O’Regan. "Solution at a Singular Point (Cont’d.)." In Ordinary and Partial Differential Equations, 37–46. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-79146-3_6.

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Asti, G. "Singular Point Detection of Nanostructured Magnets." In Nanophase Materials, 691–98. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1076-1_71.

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Cherny, Alexander S., and Hans-Jürgen Engelbert. "Index of Notation and Index of Terms." In Singular Stochastic Differential Equations, 123–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-31560-5_9.

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Arnold, V. I., S. M. Gusein-Zade, and A. N. Varchenko. "The singular index, examples." In Singularities of Differentiable Maps, 263–67. Boston, MA: Birkhäuser Boston, 1988. http://dx.doi.org/10.1007/978-1-4612-3940-6_10.

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Conference papers on the topic "Index of a singular point"

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Ram, B. S. Bhargava, Anurag Sharma, and Paramasivam Senthilkumaran. "Diffraction of Zero Topological Index V-Point Singular Beams." In 2017 IEEE Workshop on Recent Advances in Photonics (WRAP). IEEE, 2017. http://dx.doi.org/10.1109/wrap.2017.8468565.

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Wang, Li, Nandita Bhattacharjee, and Bala Srinivasan. "A novel technique for singular point detection based on Poincaré index." In the 9th International Conference. New York, New York, USA: ACM Press, 2011. http://dx.doi.org/10.1145/2095697.2095703.

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Dick, A., O. Koch, R. März, E. Weinmüller, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Collocation Schemes for Nonlinear Index 1 DAEs with a Singular Point." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636712.

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Meshii, Toshiyuki, and Kyohei Kageyama. "Stress Intensity Factor Error Index for Finite Element Analysis With Non-Singular Elements." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93365.

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In this paper, it is shown that Meshii et al.’s stress intensity factor (SIF) error index called the DCE index [1], that was developed for a finite element analysis (FEA) with singular elements, can be also applied to FEA with non-singular elements. The DCE index has a dimension of a SIF and, thus, has an advantage to the conventional error indexes (e.g., Zienkiewicz and Zhu’s) on the point that it does not require mesh refinement iteration process to obtain an accurate SIF solution. Then the validity of the DCE index for non-singular crack tip elements was shown for elastic crack problems, whose analytical SIF solutions are known.
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Li, Yue, Mrinal Mandal, and Cheng Lu. "Singular point detection based on orientation filed regularization and poincaré index in fingerprint images." In ICASSP 2013 - 2013 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2013. http://dx.doi.org/10.1109/icassp.2013.6637889.

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Blomer, Johannes, and Peter Gunther. "Singular Curve Point Decompression Attack." In 2015 Workshop on Fault Diagnosis and Tolerance in Cryptography (FDTC). IEEE, 2015. http://dx.doi.org/10.1109/fdtc.2015.17.

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Tong Liu, Guocai Zhu, Chao Zhang, and Pengwei Hao. "Fingerprint indexing based on singular point correlation." In rnational Conference on Image Processing. IEEE, 2005. http://dx.doi.org/10.1109/icip.2005.1530386.

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Wei, Yougui. "GLHSS Method for Singular Saddle Point Problems." In 2013 Fifth International Conference on Computational and Information Sciences (ICCIS). IEEE, 2013. http://dx.doi.org/10.1109/iccis.2013.255.

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Iwahashi, Masahiro, and Hitoshi Kiya. "Avoidance of singular point in reversible KLT." In 2010 Picture Coding Symposium (PCS). IEEE, 2010. http://dx.doi.org/10.1109/pcs.2010.5702435.

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"Author index." In Point-Based Graphics 2005. IEEE, 2005. http://dx.doi.org/10.1109/pbg.2005.194076.

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Reports on the topic "Index of a singular point"

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Dueker, Michael J., and Katrin Wesche. Forecasting Macro Variables with a Qual VAR Business Cycle Turning Point Index. Federal Reserve Bank of St. Louis, 2001. http://dx.doi.org/10.20955/wp.2001.019.

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Issard, M., and T. R. C. Aston. Point load index' users guide: computer calculation of point load indices and rock strengths using an IBM-PC/AT. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1986. http://dx.doi.org/10.4095/304933.

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Ostashev, Vladimir, Michael Muhlestein, and D. Wilson. Extra-wide-angle parabolic equations in motionless and moving media. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/42043.

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Wide-angle parabolic equations (WAPEs) play an important role in physics. They are derived by an expansion of a square-root pseudo-differential operator in one-way wave equations, and then solved by finite-difference techniques. In the present paper, a different approach is suggested. The starting point is an extra-wide-angle parabolic equation (EWAPE) valid for small variations of the refractive index of a medium. This equation is written in an integral form, solved by a perturbation technique, and transformed to the spectral domain. The resulting split-step spectral algorithm for the EWAPE accounts for the propagation angles up to 90° with respect to the nominal direction. This EWAPE is also generalized to large variations in the refractive index. It is shown that WAPEs known in the literature are particular cases of the two EWAPEs. This provides an alternative derivation of the WAPEs, enables a better understanding of the underlying physics and ranges of their applicability, and opens an opportunity for innovative algorithms. Sound propagation in both motionless and moving media is considered. The split-step spectral algorithm is particularly useful in the latter case since complicated partial derivatives of the sound pressure and medium velocity reduce to wave vectors (essentially, propagation angles) in the spectral domain.
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Vitrinite reflectance, thermal alteration index, and visual kerogen data for the following Cook Inlet well materials: South Diamond Gulch Unit #1, South Caribou Hill Unit #1, Anchor Point #1, Coal Bay State #1. Alaska Division of Geological & Geophysical Surveys, 1991. http://dx.doi.org/10.14509/19024.

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