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  1. 7021
    “…Distributed control of agriculture picking multi-robot systems has been widely used in the field of smart agriculture, this paper aims to explore the distributed averaging problems of agriculture picking multi-robot systems under directed communication topologies by taking advantage of the sampled data. With the algebraic graph theory concepts and the matrix theory, a distributed protocol is proposed based on the nearest sampled neighbor information. …”
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    Online Artículo Texto
    Distributed Averaging Problems of Agriculture Picking Multi-Robot Systems via Sampled Control
  2. 7022
    por Lively, Curtis M., Wade, Michael J.
    Publicado 2022
    “…Taken together, the results give an algebraic dissection of the eco‐evolutionary feedbacks created during host–parasite coevolution.…”
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    Online Artículo Texto
    Host–parasite coevolution: Partitioning the effects of natural selection and environmental change using coupled Price equations
  3. 7023
    “…The running time of this algorithm scales algebraically with the system size and the required precision. …”
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    Online Artículo Texto
    Many-body localization enables iterative quantum optimization
  4. 7024
    por Bolotin, Yury, Savin, Vladimir
    Publicado 2023
    “…The algorithm is purely algebraic, requires no iterations and no initial guess on the parameters, and thus encounters no convergence problems. …”
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    Online Artículo Texto
    Turntable IMU Calibration Algorithm Based on the Fourier Transform Technique
  5. 7025
    “…In rescaled variables, we quantify the rate of convergence to this profile uniformly in relative error, showing the rate is either exponentially fast (with a rate constant predicted by the spectral gap), or algebraically slow (which is only possible in the presence of non-integrable zero modes). …”
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    Online Artículo Texto
    Asymptotics Near Extinction for Nonlinear Fast Diffusion on a Bounded Domain
  6. 7026
    por Zelobenko, D P
    Publicado 1973
    “…In conclusion, the author briefly presents some aspects of infinite-dimensional representations of semisimple complex Lie algebras and Lie groups.…”
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    Compact Lie groups and their representations
  7. 7027
    por Katz, Sheldon
    Publicado 2006
    “…From there, the goal becomes explaining the more advanced elements of enumerative algebraic geometry. Along the way, there are some crash courses on intermediate topics which are essential tools for the student of modern mathematics, such as cohomology and other topics in geometry. …”
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    Enumerative Geometry and String Theory
  8. 7028
    por Starkov, Alexander N
    Publicado 2000
    “…The study of such systems is of great significance because they constitute an algebraic model for more general and more complicated systems. …”
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    Dynamical systems on homogeneous spaces
  9. 7029
    por Saller, Heinrich
    Publicado 2010
    “…With basic operation groups or Lie algebras, all physical structures can be interpreted in terms of corresponding realizations or representations. …”
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    Operational spacetime: interactions and particles
  10. 7030
    “…The exposition is self-contained; in the first part the reader finds the mathematical background in chapters about functional analysis, operators on Hilbert spaces and their spectral theory, as well as operator sets and algebras. This material is used in the second part to a systematic explanation of the foundations, in particular, states and observables, properties of canonical variables, time evolution, symmetries and various axiomatic approaches. …”
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    Hilbert Space Operators in Quantum Physics
  11. 7031
    por Fernandez-Maloigne, Christine
    Publicado 2013
    “…Defining colors has been the work of centuries, culminating in today’s complex mathematical coding that nonetheless remains a work in progress: only recently have we possessed the computing capacity to process the algebraic matrices that reproduce color more accurately. …”
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    Advanced Color Image Processing and Analysis
  12. 7032
    “…We also discuss the algebraic varieties connected with various double-box integrals, and show how discrete symmetries of these varieties largely determine the constraints.…”
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    Maximal Unitarity for the Four-Mass Double Box
  13. 7033
    por Berndt, Rolf, Schmidt, Ralf
    Publicado 1998
    “…Incorporating results of the authors' original research, this exposition is meant for researchers and graduate students interested in algebraic groups and number theory, in particular, modular and automorphic forms.…”
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    Elements of the representation theory of the Jacobi group
  14. 7034
    por Urabe, Tohsuke
    Publicado 1993
    “…Standard knowledge of algebraic geometry at the level of graduate students is expected. …”
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    Dynkin graphs and quadrilateral singularities
  15. 7035
    “…Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). …”
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    Homological mirror symmetry and tropical geometry
  16. 7036
    por Russo, Francesco
    Publicado 2016
    “…Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. …”
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    On the geometry of some special projective varieties
  17. 7037
    “…Simpler geometric and algebraic models are also employed to interpret the experimental data. …”
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    The structure of low-lying states in ${}^{140}$Sm studied by Coulomb excitation
  18. 7038
    “…The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. …”
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    Infinite matrices and their recent applications
  19. 7039
    “…The framework consists of Alain Connes’ “noncommutative geometry” and the operator-algebraic theory of “quantum groups”. The authors prove the existence of quantum isometry group for noncommutative manifolds given by spectral triples under mild conditions and discuss a number of methods for computing them. …”
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    Quantum isometry groups
  20. 7040
    por Obata, Nobuaki
    Publicado 2017
    “…The main vehicle is quantum probability, an algebraic extension of the traditional probability theory, which provides a new framework for the analysis of adjacency matrices revealing their non-commutative nature. …”
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    Spectral analysis of growing graphs: a quantum probability point of view
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