The Poset Of Kappa Shapes And Branching Rules For Kappa Schur Functions
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| Author | : Thomas Lam |
| Publisher | : |
| Total Pages | : 101 |
| Release | : 2013 |
| Genre | : Partially ordered sets |
| ISBN | : 9780821898741 |
We give a combinatorial expansion of a Schubert homology class in the affine Grassmannian GrSLk into Schubert homology classes in GrSLk+1. This is achieved by studying the combinatorics of a new class of partitions called k-shapes, which interpolates between k k-cores and kk+1-cores. We define a symmetric function for each k-shape, and show that they expand positively in terms of dual k-Schur functions. We obtain an explicit combinatorial description of the expansion of an ungraded k k-Schur function into k+1-Schur functions. As a corollary, we give a formula for the Schur expansion of an ungraded k-Schur function.
| Author | : Hélène Barcelo |
| Publisher | : |
| Total Pages | : 362 |
| Release | : 2019 |
| Genre | : Combinatorial analysis |
| ISBN | : 9783030051426 |
This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools.
| Author | : Jirí Adámek |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 498 |
| Release | : 1990-08-31 |
| Genre | : Mathematics |
| ISBN | : 9780792300106 |
Monograph( based very largely upon results original to the Czechoslovakian authors) presents an abstract account of the theory of automata for sophisticated readers presumed to be already conversant in the language of category theory. The seven chapters are punctuated at frequent intervals by exampl
| Author | : Valentina Emilia Balas |
| Publisher | : Springer Nature |
| Total Pages | : 460 |
| Release | : 2020-08-14 |
| Genre | : Technology & Engineering |
| ISBN | : 3030519929 |
This book presents the proceedings of the 8th International Workshop on Soft Computing Applications, SOFA 2018, held on 13–15 September 2018 in Arad, Romania. The workshop was organized by Aurel Vlaicu University of Arad, in conjunction with the Institute of Computer Science, Iasi Branch of the Romanian Academy, IEEE Romanian Section, Romanian Society of Control Engineering and Technical Informatics – Arad Section, General Association of Engineers in Romania – Arad Section and BTM Resources Arad. The papers included in these proceedings, published post-conference, cover the research including Knowledge-Based Technologies for Web Applications, Cloud Computing, Security Algorithms and Computer Networks, Business Process Management, Computational Intelligence in Education and Modelling and Applications in Textiles and many other areas related to the Soft Computing. The book is directed to professors, researchers, and graduate students in area of soft computing techniques and applications.
| Author | : Academ Steklov Institute Of Math |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 310 |
| Release | : 1970-03 |
| Genre | : Mathematics |
| ISBN | : 9780821818886 |
| Author | : Ronald E Mickens |
| Publisher | : World Scientific |
| Total Pages | : 332 |
| Release | : 2020-11-11 |
| Genre | : Mathematics |
| ISBN | : 981122255X |
This second edition of Nonstandard Finite Difference Models of Differential Equations provides an update on the progress made in both the theory and application of the NSFD methodology during the past two and a half decades. In addition to discussing details related to the determination of the denominator functions and the nonlocal discrete representations of functions of dependent variables, we include many examples illustrating just how this should be done.Of real value to the reader is the inclusion of a chapter listing many exact difference schemes, and a chapter giving NSFD schemes from the research literature. The book emphasizes the critical roles played by the 'principle of dynamic consistency' and the use of sub-equations for the construction of valid NSFD discretizations of differential equations.
| Author | : Guangchuang Yu |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2022 |
| Genre | : Business & Economics |
| ISBN | : 9781032245546 |
Data Integration, Manipulation and Visualization of Phylogenetic Trees introduces and demonstrates data integration, manipulation and visualization of phylogenetic trees using a suite of R packages, tidytree, treeio, ggtree and ggtreeExtra. Using the most comprehensive packages for phylogenetic data integration and visualization, contains numerous examples that can be used for teaching and learning. Ideal for undergraduate readers and researchers with a working knowledge of R and ggplot2. Key Features: Manipulating phylogenetic tree with associated data using tidy verbs Integrating phylogenetic data from diverse sources Visualizing phylogenetic data using grammar of graphics
| Author | : Ákos Seress |
| Publisher | : Cambridge University Press |
| Total Pages | : 292 |
| Release | : 2003-03-17 |
| Genre | : Mathematics |
| ISBN | : 9780521661034 |
| Author | : Arjen K. Lenstra |
| Publisher | : Springer |
| Total Pages | : 138 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540478922 |
The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature.
| Author | : Yoshihiro Sawano |
| Publisher | : CRC Press |
| Total Pages | : 316 |
| Release | : 2020-09-16 |
| Genre | : Mathematics |
| ISBN | : 1000064077 |
Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
