Relevant bibliographies by topics / Invariants and covariants

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Academic literature on the topic 'Invariants and covariants'

Author: Grafiati
Published: 26 July 2024
Last updated: 31 July 2025

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Journal articles on the topic "Invariants and covariants"

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Edge, W. L. "Geometry relevant to the binary quintic." Proceedings of the Edinburgh Mathematical Society 30, no. 2 (1987): 311–21. http://dx.doi.org/10.1017/s0013091500028376.

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The aim in this paper is to indicate one way of interpreting covariants of a binary quintic F geometrically, interpretations having been found recently [7] for its quadratic covariant 2C2, called Γ in [7], and its invariant I4. The symbol dCn will denote a covariant of order n in the binary variables x, y and degree d in the coefficients of F, Id being used in preference to dI0 for invariants. The sum d + n is 4 for both 2C2 and I4, and no other covariant affords as small a sum; so it is natural to have begun by interpreting these two and to use them as auxiliaries in interpreting others.
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Boularas, D., and Z. Bouzar. "Symplectic invariants and covariants of matrices." Linear and Multilinear Algebra 65, no. 8 (2016): 1503–28. http://dx.doi.org/10.1080/03081087.2016.1245273.

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KRUGLIKOV, BORIS, and VALENTIN LYCHAGIN. "INVARIANTS OF PSEUDOGROUP ACTIONS: HOMOLOGICAL METHODS AND FINITENESS THEOREM." International Journal of Geometric Methods in Modern Physics 03, no. 05n06 (2006): 1131–65. http://dx.doi.org/10.1142/s0219887806001478.

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We study the equivalence problem of submanifolds with respect to a transitive pseudogroup action. The corresponding differential invariants are determined via formal theory and lead to the notions of l-variants and l-covariants, even in the case of non-integrable pseudogroup. Their calculation is based on the cohomological machinery: we introduce a complex for covariants, define their cohomology and prove the finiteness theorem. This implies the well-known Lie–Tresse theorem about differential invariants. We also generalize this theorem to the case of pseudogroup action on differential equatio
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Ilash, N. B. "Hilbert polynomials of the algebras of $SL_ 2$-invariants." Carpathian Mathematical Publications 10, no. 2 (2018): 303–12. http://dx.doi.org/10.15330/cmp.10.2.303-312.

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We consider one of the fundamental problems of classical invariant theory, the research of Hilbert polynomials for an algebra of invariants of Lie group $SL_2$. Form of the Hilbert polynomials gives us important information about the structure of the algebra. Besides, the coefficients and the degree of the Hilbert polynomial play an important role in algebraic geometry. It is well known that the Hilbert function of the algebra $SL_n$-invariants is quasi-polynomial. The Cayley-Sylvester formula for calculation of values of the Hilbert function for algebra of covariants of binary $d$-form $\math
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Ilash, N. B. "Poincare series for the algebras of joint invariants and covariants of $n$ quadratic forms." Carpathian Mathematical Publications 9, no. 1 (2017): 57–62. http://dx.doi.org/10.15330/cmp.9.1.57-62.

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We consider one of the fundamental problems of classical invariant theory - the research of Poincare series for an algebra of invariants of Lie group $SL_2$. The first two terms of the Laurent series expansion of Poincare series at the point $z = 1$ give us important information about the structure of the algebra $\mathcal{I}_{d}.$ It was derived by Hilbert for the algebra ${\mathcal{I}_{d}=\mathbb{C}[V_d]^{\,SL_2}}$ of invariants for binary $d-$form (by $V_d$ denote the vector space over $\mathbb{C}$ consisting of all binary forms homogeneous of degree $d$). Springer got this result, using ex
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Ichinose, Shoichi. "Graphical representation of invariants and covariants in general relativity." Classical and Quantum Gravity 12, no. 4 (1995): 1021–54. http://dx.doi.org/10.1088/0264-9381/12/4/011.

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Ryb, Itai, and Roi Baer. "Combinatorial invariants and covariants as tools for conical intersections." Journal of Chemical Physics 121, no. 21 (2004): 10370–75. http://dx.doi.org/10.1063/1.1808695.

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Dhont, Guillaume, and Boris I. Zhilinskií. "The action of the orthogonal group on planar vectors: invariants, covariants and syzygies." Journal of Physics A: Mathematical and Theoretical 46, no. 45 (2013): 455202. http://dx.doi.org/10.1088/1751-8113/46/45/455202.

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Bedratyuk, Leonid. "The Poincaré series of the algebras of simultaneous invariants and covariants of two binary forms." Linear and Multilinear Algebra 58, no. 6 (2010): 789–803. http://dx.doi.org/10.1080/03081080903127262.

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Smirnov, Roman G., and Jin Yue. "Covariants, joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature." Journal of Mathematical Physics 45, no. 11 (2004): 4141–63. http://dx.doi.org/10.1063/1.1805728.

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Dissertations / Theses on the topic "Invariants and covariants"

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Olive, Marc. "Géométrie des espaces de tenseurs : une approche effective appliquée à la mécanique des milieux continus." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4745/document.

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Plusieurs lois de comportement mécaniques possèdent une formulation tensorielle, comme c'est le cas pour l'élasticité où intervient un espace de tenseurs d'ordre 4, noté Ela. La classification des matériaux élastiques passent par la nécessité de décrire l'espace des orbites ELA/SO(3). Plus généralement, on étudie la géométrie d'un espace de tenseurs sur $mathbb{R}^{3}$, via l'action du groupe O(3). Cette géométrie est caractérisée par ses classes d'isotropies, ou encore classes de symétries. Tout espace de tenseurs possède en effet un nombre fini de classes d'isotropies. Nous proposons alors u
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Bruni, Marco. "Covariant and Gauge-Invariant Cosmological Perturbations." Doctoral thesis, SISSA, 1991. http://hdl.handle.net/20.500.11767/4306.

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Pissondes, Jean-Claude. "Des invariants quadratiques aux invariants projectifs, covariance d'echelle en theorie de la relativite d'echelle." Paris 6, 1998. http://www.theses.fr/1998PA066292.

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Les resultats presentes dans cette these ont pour point de depart la theorie de la relativite d'echelle, pour finalement concerner les transformations projectives complexes, ainsi que la geometrie non-commutative par certains aspects. En premier lieu, j'analyse la prescription formelle selon laquelle il serait possible de deduire des equations de la mecanique classique, des equations qui soient covariantes d'echelle, et par suite, les equations de mecanique quantique. Cette prescription consiste a remplacer dans les equations classiques, les derivees totales par une derivee covariante d'echell
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Fehlberg, Júnior Renato. "Teoria de invariantes de formas binárias." Universidade Federal de São Carlos, 2010. https://repositorio.ufscar.br/handle/ufscar/5865.

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Made available in DSpace on 2016-06-02T20:28:24Z (GMT). No. of bitstreams: 1 2978.pdf: 738093 bytes, checksum: cdf53ae3eecedf2adf9b402da2a3499d (MD5) Previous issue date: 2010-03-26<br>Universidade Federal de Sao Carlos<br>In this work, we studied article [6], that answers the following questions:how are all covariants of binary forms? What are and how to find the canonicalforms of the binary forms of degree n? Is there a finite generating set for theconvariants of binary forms of degree n? The first question will be answered bythe First Fundamental Theorem. The second question will be answe
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Guan, Yu. "Covariate-invariant gait recognition using random subspace method and its extensions." Thesis, University of Warwick, 2015. http://wrap.warwick.ac.uk/67147/.

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Compared with other biometric traits like fingerprint or iris, the most significant advantage of gait is that it can be used for remote human identification without cooperation from the subjects. The technology of gait recognition may play an important role in crime prevention, law enforcement, etc. Yet the performance of automatic gait recognition may be affected by covariate factors such as speed, carrying condition, elapsed time, shoe, walking surface, clothing, camera viewpoint, video quality, etc. In this thesis, we propose a random subspace method (RSM) based classifier ensemble framewor
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Liang, Yigao. "Fermions in Yang-Mills gauge theories: invariance, covariance and topology." Diss., Virginia Polytechnic Institute and State University, 1987. http://hdl.handle.net/10919/77824.

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I present a study on the invariance and covariance properties of the Dirac operator describing fermions in Yang-Mills fields. This includes the study of anomalies of the gauge currents. We are particularly interested in the geometric and topological features in the problem. The complicated topological structures and properties present in these theories are made clear by elementary calculations in several simple models. We show explicitly how non-trivial phase and sign ambiguities arise to give the so-called anomalies. The Atiyah-Singer index theorem is seen to be a very powerful tool to calcul
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Sharma, Poonam. "Gauge invariant constructions in Yang-Mills theories." Thesis, University of Plymouth, 2012. http://hdl.handle.net/10026.1/1092.

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Understanding physical configurations and how these can emerge from the underlying gauge theory is a fundamental problem in modern particle physics. This thesis investigates the study of these configurations primarily focussing on the need for gauge invariance in constructing the gauge invariant fields for any physical theory. We consider Wu’s approach to gauge invariance by identifying the gauge symmetry preserving conditions in quantum electrodynamics and demonstrate how Wu’s conditions for one-loop order calculations (under various regularisation schemes) leads to the maintenance of gauge i
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Wang, Yan. "Covariates in Factor Mixture Modeling: Investigating Measurement Invariance across Unobserved Groups." Scholar Commons, 2018. https://scholarcommons.usf.edu/etd/7715.

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Factor mixture modeling (FMM) has been increasingly used to investigate unobserved population heterogeneity. This Monte Carlo simulation study examined the issue of measurement invariance testing with FMM when there are covariate effects. Specifically, this study investigated the impact of excluding and misspecifying covariate effects on the class enumeration and measurement invariance testing with FMM. Data were generated based on three FMM models where the covariate had impact on the latent class membership only (population model 1), both the latent class membership and the factor (populatio
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Bianchini, Filippo. "Invarianza relativistica delle equazioni di Maxwell." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/13558/.

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In questa tesi si dimostra l'invarianza relativistica delle equazioni di Maxwell, partendo da un esempio che illustra la relatività della simultaneità. Si giunge quindi, a partire da alcune ipotesi e tramite alcuni passaggi algebrici, alle trasformazioni di Lorentz, che sono le equazioni che permettono il cambio di coordinate passando da un sistema di riferimento ad un altro sistema di riferimento in moto relativo, e grazie a queste si ricava il teorema di Einstein o di addizione relativistica delle velocità. Le trasformazioni di Lorentz e tale teorema consentono di ricavare, al cambiare del s
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Tsagas, Christos G. "Covariant and gauge-invariant analysis of cosmological perturbations in the presence of a primordial magnetic field." Thesis, University of Sussex, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.263210.

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Books on the topic "Invariants and covariants"

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R. Rakotomanana, Lalaonirina. Covariance and Gauge Invariance in Continuum Physics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91782-5.

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Series, Michigan Historical Reprint. Some invariants and covariants of ternary collineations... Scholarly Publishing Office, University of Michigan Library, 2005.

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Series, Michigan Historical Reprint. Important covariant curves and a complete system of invariants of the rational quartic curve. Scholarly Publishing Office, University of Michigan Library, 2005.

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Rakotomanana, Lalaonirina R. Covariance and Gauge Invariance in Continuum Physics: Application to Mechanics, Gravitation, and Electromagnetism. Birkhäuser, 2018.

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Rakotomanana, Lalaonirina R. Covariance and Gauge Invariance in Continuum Physics: Application to Mechanics, Gravitation, and Electromagnetism. Birkhäuser, 2018.

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6

Mann, Peter. Point Transformations in Lagrangian Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0009.

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This chapter discusses point transformations in Lagrangian mechanics. Sometimes, when solving problems, it is useful to change coordinates in velocity phase space to better suit and simplify the system at hand; this is a requirement of any physical theory. This change is often motivated by some experimentally observed physicality of the system or may highlight new conserved quantities that might have been overlooked using the old description. In the Newtonian formalism, it was a bit of a hassle to change coordinates and the equations of motion will look quite different. In this chapter, point
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Plemons, Bradford Wong. Assessment of the Stanford-Binet Intelligence Scale: Fourth edition factor structure reliability across age groups using the coefficient of invariance and cross-validated covariance structure modeling. 1995.

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Book chapters on the topic "Invariants and covariants"

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Shank, R. "Classical covariants and modular invariants." In CRM Proceedings and Lecture Notes. American Mathematical Society, 2004. http://dx.doi.org/10.1090/crmp/035/17.

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Mumford, David, John Fogarty, and Frances Kirwan. "The method of covariants — 2nd construction." In Geometric Invariant Theory. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-57916-5_8.

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Rafelski, Johann. "Covariant Fields and Invariants." In Relativity Matters. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51231-0_26.

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Scheibe, Erhard. "Spacetime, Invariance, Covariance." In Between Rationalism and Empiricism. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0183-7_7.

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Briand, Emmanuel. "Covariants Vanishing on Totally Decomposable Forms." In Liaison, Schottky Problem and Invariant Theory. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0201-3_14.

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Gan, Woon Siong. "Covariant Derivative in Gauge Theory." In Gauge Invariance Approach to Acoustic Fields. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-8751-7_5.

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R. Rakotomanana, Lalaonirina. "Covariance of Lagrangian Density Function." In Covariance and Gauge Invariance in Continuum Physics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91782-5_3.

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R. Rakotomanana, Lalaonirina. "General Introduction." In Covariance and Gauge Invariance in Continuum Physics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91782-5_1.

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R. Rakotomanana, Lalaonirina. "Basic Concepts on Manifolds, Spacetimes, and Calculus of Variations." In Covariance and Gauge Invariance in Continuum Physics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91782-5_2.

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R. Rakotomanana, Lalaonirina. "Gauge Invariance for Gravitation and Gradient Continuum." In Covariance and Gauge Invariance in Continuum Physics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91782-5_4.

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Conference papers on the topic "Invariants and covariants"

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Li, Haoying, Xinghan Li, Shuaiting Huang, Chao Yang, and Junfeng Wu. "Covariance Intersection-based Invariant Kalman Filtering for Distributed Pose Estimation." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886693.

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Löf, Sebastian, Cody Hesse, Carl Thomé, Carlos Lordelo, and Jens Ahrens. "VICMus: Variance-Invariance-Covariance Regularization for Music Representation Learning." In 2024 IEEE International Conference on Acoustics, Speech, and Signal Processing Workshops (ICASSPW). IEEE, 2024. http://dx.doi.org/10.1109/icasspw62465.2024.10627508.

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Pandey, Yash, Rahul Bhattacharyya, and Yatindra Nath Singh. "Robust Attitude Estimation With Quaternion Left-Invariant EKF and Noise Covariance Tuning." In 2025 17th International Conference on Computer and Automation Engineering (ICCAE). IEEE, 2025. https://doi.org/10.1109/iccae64891.2025.10980574.

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Marques de Araujo, Paulo Ricardo, Aboelmagd Noureldin, and Sidney Givigi. "Continuous Action Learning Automata: A Strategy for Dynamic Optimization of Invariant Kalman Filter Covariances." In 2024 IEEE Canadian Conference on Electrical and Computer Engineering (CCECE). IEEE, 2024. http://dx.doi.org/10.1109/ccece59415.2024.10667230.

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Arnold, Gregory D., Kirk Sturtz, and Isaac Weiss. "Detection and recognition in ladar using invariants and covariants." In Aerospace/Defense Sensing, Simulation, and Controls, edited by Firooz A. Sadjadi. SPIE, 2001. http://dx.doi.org/10.1117/12.445380.

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Draayer, Bret F., Gary W. Carhart, Thomas R. Walsh, and Michael K. Giles. "Postprocessing of correlation outputs to improve optical recognition system performance." In OSA Annual Meeting. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.thl4.

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Optical correlators employing magnetooptic spatial light modulators (MOSLMs) can process binary phase-only filter (BPOF) responses at kilohertz frame rates,1 making real-time recognition possible. However, aspect invariant recognition is difficult since simple BPOFs are highly sensitive to geometric distortions. Aspect invariant composite BPOFs have been developed; unfortunately, filters that achieve aspect invariance over wide distortion ranges produce reduced correlation peak values, rendering simple threshold decision rules ineffective. A statistical correlation plane filter (CPF) based on
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Cheng Deng, Xinbo Gao, Dacheng Tao, and Xuelong Li. "Geometrically invariant watermarking using affine covariant regions." In 2008 15th IEEE International Conference on Image Processing - ICIP 2008. IEEE, 2008. http://dx.doi.org/10.1109/icip.2008.4711779.

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HORWOOD, J. T., R. G. MCLENAGHAN, R. G. SMIRNOV, and D. THE. "FUNDAMENTAL COVARIANTS IN THE INVARIANT THEORY OF KILLING TENSORS." In Proceedings of the International Conference on SPT 2004. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702142_0016.

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Hassan, Ali, and Arslan Shaukat. "Covariate shift approach for invariant texture classification." In 2013 IEEE International Workshop on Machine Learning for Signal Processing (MLSP). IEEE, 2013. http://dx.doi.org/10.1109/mlsp.2013.6661945.

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Zhang, Hang, Rongguang Wang, Jinwei Zhang, Dongdong Liu, Chao Li, and Jiahao Li. "Spatially Covariant Lesion Segmentation." In Thirty-Second International Joint Conference on Artificial Intelligence {IJCAI-23}. International Joint Conferences on Artificial Intelligence Organization, 2023. http://dx.doi.org/10.24963/ijcai.2023/190.

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Compared to natural images, medical images usually show stronger visual patterns and therefore this adds flexibility and elasticity to resource-limited clinical applications by injecting proper priors into neural networks. In this paper, we propose spatially covariant pixel-aligned classifier (SCP) to improve the computational efficiency and meantime maintain or increase accuracy for lesion segmentation. SCP relaxes the spatial invariance constraint imposed by convolutional operations and optimizes an underlying implicit function that maps image coordinates to network weights, the parameters o
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Reports on the topic "Invariants and covariants"

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Arunasalam, V. Are the invariance principles really truly Lorentz covariant? Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10129684.

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Das, Rita, and Bimal K. Sinha. Robust Optimium Invariant Tests of Covariance Structures Useful in Linear Models. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada174659.

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