Academic literature on the topic 'Holonomy map for curve'

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Journal articles on the topic "Holonomy map for curve"

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Massa, Enrico, Danilo Bruno, Gianvittorio Luria, and Enrico Pagani. "Geometric constrained variational calculus I: Piecewise smooth extremals." International Journal of Geometric Methods in Modern Physics 12, no. 05 (May 2015): 1550061. http://dx.doi.org/10.1142/s0219887815500619.

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A geometric setup for constrained variational calculus is presented. The analysis deals with the study of the extremals of an action functional defined on piecewise differentiable curves, subject to differentiable, non-holonomic constraints. Special attention is paid to the tensorial aspects of the theory. As far as the kinematical foundations are concerned, a fully covariant scheme is developed through the introduction of the concept of infinitesimal control. The standard classification of the extremals into normal and abnormal ones is discussed, pointing out the existence of an algebraic algorithm assigning to each admissible curve a corresponding abnormality index, related to the co-rank of a suitable linear map. Attention is then shifted to the study of the first variation of the action functional. The analysis includes a revisitation of Pontryagin's equations and of the Lagrange multipliers method, as well as a reformulation of Pontryagin's algorithm in Hamiltonian terms. The analysis is completed by a general result, concerning the existence of finite deformations with fixed endpoints.
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Bhosle, Usha N., and A. J. Parameswaran. "Holonomy group scheme of an integral curve." Mathematische Nachrichten 287, no. 17-18 (April 25, 2014): 1937–53. http://dx.doi.org/10.1002/mana.201300117.

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Langerock, B. "Leafwise holonomy of connections over a bundle map." Differential Geometry and its Applications 20, no. 2 (March 2004): 125–43. http://dx.doi.org/10.1016/j.difgeo.2003.10.002.

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KLEPTSYN, VICTOR, and YURY KUDRYASHOV. "A curve in the unstable foliation of an Anosov diffeomorphism with globally defined holonomy." Ergodic Theory and Dynamical Systems 35, no. 3 (October 8, 2013): 935–43. http://dx.doi.org/10.1017/etds.2013.71.

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WANG, SHUGUANG. "GERBES, HOLONOMY FORMS AND REAL STRUCTURES." Communications in Contemporary Mathematics 11, no. 01 (February 2009): 109–30. http://dx.doi.org/10.1142/s0219199709003302.

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We study geometry on real gerbes in the spirit of the Cheeger–Simons theory. The concepts of adaptations and holonomy forms are introduced for flat connections on real gerbes. Their relations to complex gerbes with connections are presented, as well as results in loop and map spaces.
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6

Baba, Shinpei, and Subhojoy Gupta. "Holonomy map fibers of ℂP1-structures in moduli space." Journal of Topology 8, no. 3 (June 26, 2015): 691–710. http://dx.doi.org/10.1112/jtopol/jtv013.

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Giovannardi, Gianmarco. "Higher Dimensional Holonomy Map for Rules Submanifolds in Graded Manifolds." Analysis and Geometry in Metric Spaces 8, no. 1 (July 1, 2020): 68–91. http://dx.doi.org/10.1515/agms-2020-0105.

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AbstractThe deformability condition for submanifolds of fixed degree immersed in a graded manifold can be expressed as a system of first order PDEs. In the particular but important case of ruled submanifolds, we introduce a natural choice of coordinates, which allows to deeply simplify the formal expression of the system, and to reduce it to a system of ODEs along a characteristic direction. We introduce a notion of higher dimensional holonomy map in analogy with the one-dimensional case [29], and we provide a characterization for singularities as well as a deformability criterion.
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ELSTON, GILLIAN Z., and CHRYSTOPHER L. NEHANIV. "HOLONOMY EMBEDDING OF ARBITRARY STABLE SEMIGROUPS." International Journal of Algebra and Computation 12, no. 06 (December 2002): 791–810. http://dx.doi.org/10.1142/s0218196702001206.

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We show how the Rhodes expansion Ŝ of any stable semigroup S embeds into the cascade integral (a natural generalization of the wreath product) of permutation-reset transformation semigroups with zero adjoined. The permutation groups involved are exactly the Schützenberger groups of the [Formula: see text]-classes of S. Since S ←← Ŝ is an aperiodic map via which all subgroups of S lift to Ŝ, this results in a strong Krohn–Rhodes–Zeiger decomposition for the entire class of stable semigroups. This class includes all semigroups that are finite, torsion, finite [Formula: see text]-above, compact Hausdorff, or relatively free profinite, as well as many other semigroups. Even if S is not stable, one can expand it using Henckell's expansion and then apply our embedding. This gives a simplified proof of the Holonomy Embedding theorem for all semigroups.
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Kohno, Toshitake. "Higher holonomy of formal homology connections and braid cobordisms." Journal of Knot Theory and Its Ramifications 25, no. 12 (October 2016): 1642007. http://dx.doi.org/10.1142/s0218216516420074.

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We construct a representation of the homotopy 2-groupoid of a manifold by means of Chen’s formal homology connections. By using the idea of this 2-holonomy map, we describe a method to obtain a representation of the category of braid cobordisms.
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HEINTZE, E., C. OLMOS, and G. THORBERGSSON. "SUBMANIFOLDS WITH CONSTANT PRINCIPAL CURVATURES AND NORMAL HOLONOMY GROUPS." International Journal of Mathematics 02, no. 02 (April 1991): 167–75. http://dx.doi.org/10.1142/s0129167x91000107.

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A submanifold has by definition constant principal curvatures if the eigenvalues of the shape operators Aξ are constant for any parallel normal field ξ along any curve. It is shown that a submanifold of Euclidean space has constant principal curvatures if and only if it is an isoparametric or a focal manifold of an isoparametric submanifold. Furthermore a "homogeneous slice theorem" is proved which says that the fibres of the projection of an isoparametric submanifold onto a full focal manifold are homogeneous isoparametric. To this end it is shown that any two points of an isoparametric submanifold can be connected by a piecewise differentiable curve whose pieces are tangent to one of the simultaneous eigenspaces Ei, i ∈ I, of the shape operators provided that the corresponding reflections generate the Weyl group of the isoparametric submanifold.
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Dissertations / Theses on the topic "Holonomy map for curve"

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Wang, Han. "Depth Map Compression Based on Platelet Coding and Quadratic Curve Fitting." Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/23462.

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Due to the fast development in 3D technology during recent decades, many approaches in 3D representation technologies have been proposed worldwide. In order to get an accurate information to render a 3D representation, more data need to be recorded compared to normal video sequence. In this case, how to find an efficient way to transmit the 3D representation data becomes an important part in the whole 3D representation technology. Recent years, many coding schemes based on the principle of encoding the depth have been proposed. Compared to the traditional multiview coding schemes, those new proposed schemes can achieve higher compression efficiency. Due to the development of depth capturing technology, the accuracy and quality of the reconstructed depth image also get improved. In this thesis we propose an efficient depth data compression scheme for 3D images. Our proposed depth data compression scheme is platelet based coding using Lagrangian optimization, quadtree decomposition and quadratic curve fitting. We study and improve the original platelet based coding scheme and achieve a compression improvement of 1-2 dB compared to the original platelet based scheme. The experimental results illustrate the improvement provided by our scheme. The quality of the reconstructed results of our proposed curve fitting based platelet coding scheme are better than that of the original scheme.
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Kult, David. "Quantum Holonomies : Concepts and Applications to Quantum Computing and Interferometry." Doctoral thesis, Uppsala University, Quantum Chemistry, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-8185.

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Quantum holonomies are investigated in different contexts.

A geometric phase is proposed for decomposition dependent evolution, where each component of a given decomposition of a mixed state evolves independently. It is shown that this geometric phase only depends on the path traversed in the space of decompositions.

A holonomy is associated to general paths of subspaces of a Hilbert space, both discrete and continuous. This opens up the possibility of constructing quantum holonomic gates in the open path setting. In the discrete case it is shown that it is possible to associate two distinct holonomies to a given path. Interferometric setups for measuring both holonomies are

provided. It is further shown that there are cases when the holonomy is only partially defined. This has no counterpart in the Abelian setting.

An operational interpretation of amplitudes of density operators is provided. This allows for a direct interferometric realization of Uhlmann's parallelity condition, and the possibility of measuring the Uhlmann holonomy for sequences of density operators.

Off-diagonal geometric phases are generalized to the non-Abelian case. These off-diagonal holonomies are undefined for cyclic evolution, but must contain members of non-zero rank if all standard holonomies are undefined. Experimental setups for measuring the off-diagonal holonomies are proposed.

The concept of nodal free geometric phases is introduced. These are constructed from gauge invariant quantities, but do not share the nodal point structure of geometric phases and off-diagonal geometric phases. An interferometric setup for measuring nodal free geometric phases is provided, and it is shown that these phases could be useful in geometric quantum computation.

A holonomy associated to a sequence of quantum maps is introduced. It is shown that this holonomy is related to the Uhlmann holonomy. Explicit examples are provided to illustrate the general idea.

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Roeser, Markus Karl. "The ASD equations in split signature and hypersymplectic geometry." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:7d46ffc8-6d12-4fec-9450-13d2c726885c.

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This thesis is mainly concerned with the study of hypersymplectic structures in gauge theory. These structures arise via applications of the hypersymplectic quotient construction to the action of the gauge group on certain spaces of connections and Higgs fields. Motivated by Kobayashi-Hitchin correspondences in the case of hyperkähler moduli spaces, we first study the relationship between hypersymplectic, complex and paracomplex quotients in the spirit of Kirwan's work relating Kähler quotients to GIT quotients. We then study dimensional reductions of the ASD equations on $mathbb R^{2,2}$. We discuss a version of twistor theory for hypersymplectic manifolds, which we use to put the ASD equations into Lax form. Next, we study Schmid's equations from the viewpoint of hypersymplectic quotients and examine the local product structure of the moduli space. Then we turn towards the integrability aspects of this system. We deduce various properties of the spectral curve associated to a solution and provide explicit solutions with cyclic symmetry. Hitchin's harmonic map equations are the split signature analogue of the self-duality equations on a Riemann surface, in which case it is known that there is a smooth hyperkähler moduli space. In the case at hand, we cannot expect to obtain a globally well-behaved moduli space. However, we are able to construct a smooth open set of solutions with small Higgs field, on which we then analyse the hypersymplectic geometry. In particular, we exhibit the local product structures and the family of complex structures. This is done by interpreting the equations as describing certain geodesics on the moduli space of unitary connections. Using this picture we relate the degeneracy locus to geodesics with conjugate endpoints. Finally, we present a split signature version of the ADHM construction for so-called split signature instantons on $S^2 imes S^2$, which can be given an interpretation as a hypersymplectic quotient.
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Gagne, Martin. "Applications of Bilinear Maps in Cryptography." Thesis, University of Waterloo, 2002. http://hdl.handle.net/10012/1134.

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It was recently discovered by Joux [30] and Sakai, Ohgishi and Kasahara [47] that bilinear maps could be used to construct cryptographic schemes. Since then, bilinear maps have been used in applications as varied as identity-based encryption, short signatures and one-round tripartite key agreement. This thesis explains the notion of bilinear maps and surveys the applications of bilinear maps in the three main fields of cryptography: encryption, signature and key agreement. We also show how these maps can be constructed using the Weil and Tate pairings in elliptic curves.
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Appunni, Sandhya. "Design and Development of Geographical Information System (GIS) Map for Nuclear Waste Streams." FIU Digital Commons, 2014. http://digitalcommons.fiu.edu/etd/1667.

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A nuclear waste stream is the complete flow of waste material from origin to treatment facility to final disposal. The objective of this study was to design and develop a Geographic Information Systems (GIS) module using Google Application Programming Interface (API) for better visualization of nuclear waste streams that will identify and display various nuclear waste stream parameters. A proper display of parameters would enable managers at Department of Energy waste sites to visualize information for proper planning of waste transport. The study also developed an algorithm using quadratic Bézier curve to make the map more understandable and usable. Microsoft Visual Studio 2012 and Microsoft SQL Server 2012 were used for the implementation of the project. The study has shown that the combination of several technologies can successfully provide dynamic mapping functionality. Future work should explore various Google Maps API functionalities to further enhance the visualization of nuclear waste streams.
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Diaw, Adjaratou Arame. "Géométrie de certains tissus holomorphes singuliers en dimension 2." Thesis, Rennes 1, 2019. http://www.theses.fr/2019REN1S063.

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On s'intéresse à l'étude des germes de tissus holomorphes singuliers sur une surface complexe dans deux cas différents. Dans la première partie de cette thèse, on étudie la classification analytique des germes de 2-tissus définis par deux germes de feuilletages holomorphes singuliers. Plus précisément, nous allons montrer qu'une paire de germes de feuilletages réduits non dégénérés ayant des séparatrices communes et des indices de Camacho-Sad différents est entièrement déterminée par un ensemble complet d'invariants composé de la paire des représentations d'holonomie, du couple des indices de Camacho-Sad et des séparatrices communes. Dans la deuxième partie de cette thèse, en étudiant la géométrie de la surface réglée elliptique stable, nous allons voir qu'une telle surface admet une unique structure de feuilletage de Riccati. De plus, grâce à la configuration de ses sections minimales, nous montrons l'existence d'une structure naturelle de 4-tissu singulier qu'on peut voir comme la donnée de quatre feuilletages linéaires sur un tore complexe. La géométrie de ce 4-tissu est donc équivalente à celle d'un germe de 4-tissu holomorphe singulier qui est parallélisable
We are interested in the study of germs of singular holomorphic webs on a complex surface in two different cases. In the first part of this thesis, we study the analytic classification of germs of 2-webs defined by two germs of singular holomorphic foliations. More precisely, we will show that a pair of reduced, non degenerate foliations with common separatrices and different Camacho-Sad indices is entirely determined by a complete set of invariants composed of: the pair of holonomy representations, the couple of Camacho-Sad indices and the common separatrices. In the second part of this thesis, by studying the geometry of the stable elliptic ruled surface, we will see that this type of surface is endowed with a unique structure of Riccati foliation. Moreover, thanks to the configuration of its minimal sections, we show that there exists a natural structure of singular 4-web that we can see as four families of linear foliations on a complex torus. The geometry of this 4-web is then equivalent to that of a germ of singular holomorphic 4-web which is parallelisable
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Genc, Gence. "Probabilistic Seismic Hazard Assessment For Eskisehir." Master's thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12605436/index.pdf.

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The purpose of this study is to develop probabilistic hazard maps for EskiSehir including &lsquo
Peak Ground Acceleration&rsquo
values for 10% probability of exceedance in 50-year and 100-year periods at different site classes. A seismotectonic map has been prepared in the Geographical Information Systems environment by compiling instrumental seismicity and neotectonic data for the study area. The seismic sources have been defined spatially in six areal zones, characterized by a commonly used recurrence law and a maximum magnitude value. Four attenuation relationships have been selected being one of them totaly developed from the strong-motion records of Turkey. After the implementation of a seismic hazard model by using SEISRISK software, the probabilistic seismic hazard curves and maps were developed based on the selected attenuation relationships, at &lsquo
rock&rsquo
and &lsquo
soil&rsquo
sites, with a probability of exceedance of 10% in 50-year and 100-year periods. At rock sites the highest levels of hazard were calculated based on the predictive relationship of Abrahamson and Silva (1996), whereas the lowest ones based on the one of Boore et al. (1996). On the other hand the highest hazard levels were determined at soil sites based on the attenuation relationship of Ambraseys et al. (1996), whereas the lowest ones based on the one of Boore et al. (1997). For EskiSehir, the peak ground acceleration values calculated based on attenuation relationship by Boore et al. (1997) were found to be applicable for 10% probability of exceedance in 50 and 100 years, taking into consideration the fact that a considerable portion of the city is founded over alluviums.
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Teo, Hue Tat Ronnie. "Recovery of dilute acetic acid through esterification in a reactive distillation column." Thesis, Loughborough University, 2005. https://dspace.lboro.ac.uk/2134/24561.

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With ever-growing environmental concerns, petrochemical and fine chemical industries face an omnipresent issue in recovering acetic acid from its aqueous solutions. The recovery of acetic acid through the esterification process is a very viable option. However, esterification reactions are typically restricted by equilibrium limitations, and face challenges with product purification. Reactive distillation is an emerging technology that has an extremely attractive potential as a process alternative for carrying out equilibrium limited chemical reactions. Although the reactive distillation process has been successfully commercialised for the manufacture of hIgh commodity chemicals e.g. methyl tertiary butyl ether (MTBE) and methyl acetate, its potential as a separation tool for the recovery of acetic acid using iso-amyl alcohol has not been exploited.
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Mazzoni, Michele. "A fibre bundle approach to U(1) symmetries in physics." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16776/.

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In questa tesi si utilizza il formalismo dei fibrati principali per descrivere le propriet`a topologiche globali di sistemi fisici classici e quantistici che presentano simmetrie legate all’azione del gruppo U(1). Nel primo capitolo `e contenuta una esposizione della teoria matematica dei fibrati, con un particolare riguardo ai fibrati principali ed alle strutture differenziali definibili su di essi (forme differenziali di connessione e curvatura). Nel secondo capitolo si impiega il formalismo precedentemente sviluppato per trattare le propriet`a del monopolo magnetico di Dirac e si ottiene una quantizzazione della carica magnetica sulla base di considerazioni di natura topologica. Inoltre, si mostra l’impiego dei fibrati principali U(1) nella costruzione di una descrizione Lagrangiana globale per sistemi quali una particella carica nel campo del monopolo e una particella classica con spin in campo magnetico. Nel terzo capitolo, si descrive teoricamente la comparsa di una fase geometrica (fase di Berry) in sistemi quantistici che evolvono adiabaticamente nel tempo, e si fornisce un’interpretazione geometrica di tale fase come olonomia in un fibrato principale U(1). Il moto di una particella quantistica con spin in campo magnetico quasi-statico e l’effetto Aharonov-Bohm vengono presentati come esempi tipici di manifestazione di una fase geometrica.
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Patel, Dipesh. "Synthesis of n-hexyl acetate in batch and chromatographic reactors." Thesis, Loughborough University, 2011. https://dspace.lboro.ac.uk/2134/8521.

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Petrochemical and fine chemical industries face a daunting problem in recovering acetic acid from its aqueous solutions. The recovery of acetic acid could be done through esterification reaction. However, esterification is an equilibrium limited reaction. Multi-functional reactors such as chromatographic reactor (CR) and reactive distillation column (RDC) are promising technologies mainly for equilibrium limited reactions wherein reaction and separation of products are carried out in a single equipment that tends to shift the equilibrium towards the desired direction which is not possible in a classical batch reactor. Physical and chemical characterisation of ion exchange resin catalysts such as scanning electron microscopy, Brunauer-Emmett-Teller (BET) surface area measurement, pore size distribution, elemental analysis, true density and particle size distribution were carried out to access the catalysts performance for n-hexyl acetate synthesis. Esterification of acetic acid with n-hexanol was studied with both dilute and concentrated acid in the presence of cation exchange resins (macroporous and gelular) in a jacketed stirred batch reactor to synthesise a value added ester, namely n-hexyl acetate and also to study the recovery of acetic acid from the waste aqueous streams. The effect of various parameters such as speed of agitation, catalyst particle size, feed mole ratio of n-hexanol to acetic acid, reaction temperature, catalyst loading and reusability of catalysts was studied for the optimisation of the reaction condition in a batch reactor. The non-ideality of each component in the reacting mixture was accounted for by using the activity coefficient via the use of the UNIFAC group contribution method. The kinetic data were correlated with both pseudo-homogeneous (PH) and adsorption based heterogeneous reaction rate models, e.g., Eley-Rideal (ER), Langmuir-Hinshelwood-Hougen-Watson (LHHW), and the modified LHHW (ML). Pseudo-homogeneous (PH) model gave the best representation of the kinetic data found experimentally. The feasibility of reactive distillation for the recovery of acetic acid using n-hexanol was evaluated through residue curve map (RCM) determination experiments. RCM provides information to a design engineer of the existence of separation boundaries imposed by the singular points corresponding to the reactive/non-reactive azeotropes, thus provides an insight into the feasibility of reactive distillation for this purpose. A laboratory scale batch chromatographic reactor was designed and constructed. Batch chromatographic reactor experiments were carried out using different parameters such as feed flow rate, feed mole ratio of n-hexanol to acetic acid, desorbent (n-hexanol) flow rate and reaction step to maximise the formation of n-hexyl acetate as well to achieve complete conversion of acetic acid. Continuous chromatographic reactor was designed, constructed and commissioned on the basis of the results obtained from the batch chromatographic reactor experiments. The experiments carried out in continuous chromatographic reactor correlated very well with the results from the batch chromatographic reactor for the optimised condition.
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Book chapters on the topic "Holonomy map for curve"

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Laslett, Peter. "The Rectangular Survival Curve and the Secular Shift in Ageing." In A Fresh Map of Life, 74–98. London: Palgrave Macmillan UK, 1996. http://dx.doi.org/10.1007/978-1-349-24615-1_5.

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Bădescu, Lucian. "The Zak Map of a Curve. Gaussian Maps." In Projective Geometry and Formal Geometry, 31–38. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7936-1_4.

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Fujimoto, Hirotaka. "The derived curves of a holomorphic curve." In Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm, 46–89. Wiesbaden: Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-322-80271-2_2.

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Chakraborty, Samarjit, and Kalyanmoy Deb. "Analytic curve detection from a noisy binary edge map using genetic algorithm." In Lecture Notes in Computer Science, 129–38. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0056856.

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Palav, Mansi, Ruchi Telang Gode, and S. V. S. S. N. V. G. Krishna Murthy. "A Masking-Based Image Encryption Scheme Using Chaotic Map and Elliptic Curve Cryptography." In Advances in Intelligent Systems and Computing, 131–45. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9953-8_12.

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Kobayashi, Tetsutaro, Hikaru Morita, Kunio Kobayashi, and Fumitaka Hoshino. "Fast Elliptic Curve Algorithm Combining Frobenius Map and Table Reference to Adapt to Higher Characteristic." In Advances in Cryptology — EUROCRYPT ’99, 176–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48910-x_13.

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Attarchi, Sepehr, Karim Faez, and Mir Hashem Mousavi. "A New Segmentation Method for Iris Recognition Using the Complex Inversion Map and Best-Fitting Curve." In Communications in Computer and Information Science, 364–71. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-89985-3_45.

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Kumar, Manoj, and Pratik Gupta. "A Novel and Secure Multiparty Key Exchange Scheme Using Trilinear Pairing Map Based on Elliptic Curve Cryptography." In Advances in Intelligent Systems and Computing, 37–50. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-5687-1_4.

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Nguyen, Chi Cong, Phuoc Vo, Viet Long Doan, Quang Binh Nguyen, Tien Cuong Nguyen, and Quoc Dinh Nguyen. "Assessment of the Effects of Rainfall Frequency on Landslide Susceptibility Mapping Using AHP Method: A Case Study for a Mountainous Region in Central Vietnam." In Progress in Landslide Research and Technology, Volume 1 Issue 2, 2022, 87–98. Cham: Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-18471-0_7.

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AbstractVietnam’s mountainous regions often encounter landslides, frequently resulting in fatalities, infrastructure damage, and landscape destruction. A landslide susceptibility map is an effective tool for mitigating disaster impacts on hazard-prone areas. This study investigates the applicability of the Analytic Hierarchy Process to produce a landslide susceptibility index. Eight major impact factors are analyzed using SAGA, a GIS-based toolkit, including slopes, aspect, land use, soil type, elevation, distance to road, distance to stream, and antecedent rainfall. Four landslide susceptibility maps are produced corresponding to frequency scenarios of 3-day antecedent rainfall data which is taken from Regional Frequency Analysis (RFA). We assess the modeling performances using Area Under the Curve (AUC) index and the results show that the AHP model has good performance. The findings demonstrate a significant influence of rainfall antecedent conditions on the susceptibility map of landslides in this study area.
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Yeo, Desmond T. B., Roshni R. Bhagalia, and Boklye Kim. "Improved Map-Slice-to-Volume Motion Correction with B0 Inhomogeneity Correction: Validation of Activation Detection Algorithms Using ROC Curve Analyses." In Medical Image Computing and Computer-Assisted Intervention – MICCAI 2006, 276–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11866763_34.

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Conference papers on the topic "Holonomy map for curve"

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Wenk, Carola, Helmut Alt, Alon Efrat, Lingeshwaran Palaniappan, and Gunter Rote. "Finding a curve in a map." In the nineteenth conference. New York, New York, USA: ACM Press, 2003. http://dx.doi.org/10.1145/777792.777855.

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DellAcqua, Pietro, Francesco Bellotti, Riccardo Berta, Alessandro De Gloria, Gautam Dange, Pratheep Paranthaman, Kay Massow, and Fabian Maximilian Thiele. "Safe Drive Map Concept for Road Curve Monitoring." In 2015 Euromicro Conference on Digital System Design (DSD). IEEE, 2015. http://dx.doi.org/10.1109/dsd.2015.112.

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Wang, Ping, Chen Zhou, Wei Chen, and Wanqiang Shen. "Numerical approximation method for multiscale model of map curve." In International Conference on Statistics, Applied Mathematics, and Computing Science (CSAMCS 2021), edited by Ke Chen, Nan Lin, Romeo Meštrović, Teresa A. Oliveira, Fengjie Cen, and Hong-Ming Yin. SPIE, 2022. http://dx.doi.org/10.1117/12.2627478.

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Juang, J. G., and Y. C. Yang. "Fuzzy Sensor Fusion and Curve Approximation for indoor Map Building." In 2015 International Conference on Artificial Intelligence and Industrial Engineering. Paris, France: Atlantis Press, 2015. http://dx.doi.org/10.2991/aiie-15.2015.148.

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Resen, Sallama. "Construct Face Landmarks Map Based Geodesic Curve for Face Recognition." In the 2019 International Conference. New York, New York, USA: ACM Press, 2019. http://dx.doi.org/10.1145/3332340.3332353.

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Assam, Roland, and Thomas Seidl. "Effective Map Matching Using Curve Tangents and Hidden Markov Model." In 2014 10th International Conference on Mobile Ad-hoc and Sensor Networks (MSN). IEEE, 2014. http://dx.doi.org/10.1109/msn.2014.36.

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Yu Zhang, Han Wang, and Jiying Zhao. "Depth map compression based on platelet coding and quadratic curve fitting." In 2014 IEEE 27th Canadian Conference on Electrical and Computer Engineering (CCECE). IEEE, 2014. http://dx.doi.org/10.1109/ccece.2014.6901002.

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Zhu, Yufeng, Deyan Zang, and Shijian Zhou. "Analysis on Curve Fit Algorithm about Line Generalization in Map Generalization." In 2009 International Forum on Information Technology and Applications (IFITA). IEEE, 2009. http://dx.doi.org/10.1109/ifita.2009.252.

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Shahna, Ku, and Anuj Mohamed. "An Image Encryption Technique Using Logistic Map and Z-Order Curve." In 2018 International Conference on Emerging Trends and Innovations In Engineering And Technological Research (ICETIETR). IEEE, 2018. http://dx.doi.org/10.1109/icetietr.2018.8529138.

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Seif Eldeen, Mohamed A., Abdellatif A. Elkouny, and Salwah Elramly. "DES Security Reinforcement Using Chaotic Logistic Map and Elliptic Curve Cryptography." In 2015 2nd International Conference on Information Science and Security (ICISS). IEEE, 2015. http://dx.doi.org/10.1109/icissec.2015.7370992.

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Reports on the topic "Holonomy map for curve"

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Tanabé, Susumu, Abuzer Gündüz, and Bayram A. Ersoy. On Real Curve Construction for Asymptotic Critical Value Set of a Polynomial Map. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, May 2021. http://dx.doi.org/10.7546/crabs.2021.05.02.

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Weller, Joel I., Harris A. Lewin, and Micha Ron. Determination of Allele Frequencies for Quantitative Trait Loci in Commercial Animal Populations. United States Department of Agriculture, February 2005. http://dx.doi.org/10.32747/2005.7586473.bard.

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Abstract:
Individual loci affecting economic traits in dairy cattle (ETL) have been detected via linkage to genetic markers by application of the granddaughter design in the US population and the daughter design in the Israeli population. From these analyses it is not possible to determine allelic frequencies in the population at large, or whether the same alleles are segregating in different families. We proposed to answer this question by application of the "modified granddaughter design", in which granddaughters with a common maternal grandsire are both genotyped and analyzed for the economic traits. The objectives of the proposal were: 1) to fine map three segregating ETL previously detected by a daughter design analysis of the Israeli dairy cattle population; 2) to determine the effects of ETL alleles in different families relative to the population mean; 3) for each ETL, to determine the number of alleles and allele frequencies. The ETL on Bostaurusautosome (BT A) 6 chiefly affecting protein concentration was localized to a 4 cM chromosomal segment centered on the microsatellite BM143 by the daughter design. The modified granddaughter design was applied to a single family. The frequency of the allele increasing protein percent was estimated at 0.63+0.06. The hypothesis of equal allelic frequencies was rejected at p<0.05. Segregation of this ETL in the Israeli population was confirmed. The genes IBSP, SPP1, and LAP3 located adjacent to BM143 in the whole genome cattle- human comparative map were used as anchors for the human genome sequence and bovine BAC clones. Fifteen genes within 2 cM upstream of BM143 were located in the orthologous syntenic groups on HSA4q22 and HSA4p15. Only a single gene, SLIT2, was located within 2 cM downstream of BM143 in the orthologous HSA4p15 region. The order of these genes, as derived from physical mapping of BAC end sequences, was identical to the order within the orthologous syntenic groups on HSA4: FAM13A1, HERC3. CEB1, FLJ20637, PP2C-like, ABCG2, PKD2. SPP, MEP, IBSP, LAP3, EG1. KIAA1276, HCAPG, MLR1, BM143, and SLIT2. Four hundred and twenty AI bulls with genetic evaluations were genotyped for 12 SNPs identified in 10 of these genes, and for BM143. Seven SNPs displayed highly significant linkage disequilibrium effects on protein percentage (P<0.000l) with the greatest effect for SPP1. None of SNP genotypes for two sires heterozygous for the ETL, and six sires homozygous for the ETL completely corresponded to the causative mutation. The expression of SPP 1 and ABCG2 in the mammary gland corresponded to the lactation curve, as determined by microarray and QPCR assays, but not in the liver. Anti-sense SPP1 transgenic mice displayed abnormal mammary gland differentiation and milk secretion. Thus SPP 1 is a prime candidate gene for this ETL. We confirmed that DGAT1 is the ETL segregating on BTA 14 that chiefly effects fat concentration, and that the polymorphism is due to a missense mutation in an exon. Four hundred Israeli Holstein bulls were genotyped for this polymorphism, and the change in allelic frequency over the last 20 years was monitored.
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