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Data Visualization with Category Theory and Geometry

With a Critical Analysis and Refinement of UMAP

de Lukas Silvester Barth, Hannaneh Fahimi, Parvaneh Joharinad, Jürgen Jost, Janis Keck ...

Series series Mathematics and Statistics (R0)
This open access book provides a robust exposition of the mathematical foundations of data representation, focusing on two essential pillars of dimensionality reduction methods, namely geometry in general and Riemannian geometry in particular, and category theory.Presenting a list of examples consisting of both geometric objects and empirical datasets, this book provides insights into the ... Leer más

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This open access book provides a robust exposition of the mathematical foundations of data representation, focusing on two essential pillars of dimensionality reduction methods, namely geometry in general and Riemannian geometry in particular, and category theory.Presenting a list of examples consisting of both geometric objects and empirical datasets, this book provides insights into the
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Math Without Numbers

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An illustrated tour of the structures and patterns we call "math"The only numbers in this book are the page numbers.Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively ... Leer más

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An illustrated tour of the structures and patterns we call "math"The only numbers in this book are the page numbers.Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively
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Using Matrice Operations Solve the word Problem

de Homework Help Classof1 ...

Five neighborhoods (NB) all want to raise money for a playground for their kids. The neighborhood that raises the most money will be able to choose the name of the park. To raise money, they all decide to have a bake sale and sell cookies (C), cakes (K), and muffins (M). They plan to sell their bake goods on Saturday morning for 3 weeks. Following are the results of the first 2 weeks. The numbers ... Leer más

Antes $6,806 CLP Ahora $6,086 CLP

Five neighborhoods (NB) all want to raise money for a playground for their kids. The neighborhood that raises the most money will be able to choose the name of the park. To raise money, they all decide to have a bake sale and sell cookies (C), cakes (K), and muffins (M). They plan to sell their bake goods on Saturday morning for 3 weeks. Following are the results of the first 2 weeks. The numbers
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An Introduction to the Language of Category Theory

de Steven Roman ...

Series series Mathematics and Statistics (R0)
This textbook provides an introduction to elementary category theory, with the aim of making what can be a confusing and sometimes overwhelming subject more accessible. In writing about this challenging subject, the author has brought to bear all of the experience he has gained in authoring over 30 books in university-level mathematics.The goal of this book is to present the five major ideas of ... Leer más

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This textbook provides an introduction to elementary category theory, with the aim of making what can be a confusing and sometimes overwhelming subject more accessible. In writing about this challenging subject, the author has brought to bear all of the experience he has gained in authoring over 30 books in university-level mathematics.The goal of this book is to present the five major ideas of
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Fondamenti di Statistica Inferenziale III parte

de Francesco Luigi Petracca ...

Questo testo di statistica inferenziale è stato progettato per essere un punto di riferimento chiaro e completo non solo per studenti di matematica o discipline scientifiche, ma anche per chi affronta per la prima volta la statistica, come gli studenti di medicina, biologia o professioni sanitarie.Il libro offre una panoramica completa dei concetti fondamentali della statistica inferenziale, ... Leer más

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Questo testo di statistica inferenziale è stato progettato per essere un punto di riferimento chiaro e completo non solo per studenti di matematica o discipline scientifiche, ma anche per chi affronta per la prima volta la statistica, come gli studenti di medicina, biologia o professioni sanitarie.Il libro offre una panoramica completa dei concetti fondamentali della statistica inferenziale,
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Computation with Linear Algebraic Groups

de Willem Adriaan de Graaf ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms.Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in ... Leer más

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Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms.Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in
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Computing and Combinatorics

28th International Conference, COCOON 2022, Shenzhen, China, October 22–24, 2022, Proceedings

Edición de Yong Zhang, Dongjing Miao, Rolf Möhring ...

Series series Springer Nature Proceedings Computer Science
Chapter(s) “Chapter Name or No.” is/are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com. ... Leer más

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Chapter(s) “Chapter Name or No.” is/are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
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Numerik

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Dieses vierfarbige Lehrbuch wendet sich an Studierende der Mathematik und benachbarter Studiengänge und bietet eine lebendige Einführung in die Numerik.In der Numerischen Mathematik geht es um die zentralen Ideen zur Nutzung mathematischer Resultate im Kontext realitätsbezogener Anwendungen. Es geht um Konvergenzbeweise für Algorithmen, um den Einsatz von Funktionalanalysis zur Fehlerabschätzung ... Leer más

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Dieses vierfarbige Lehrbuch wendet sich an Studierende der Mathematik und benachbarter Studiengänge und bietet eine lebendige Einführung in die Numerik.In der Numerischen Mathematik geht es um die zentralen Ideen zur Nutzung mathematischer Resultate im Kontext realitätsbezogener Anwendungen. Es geht um Konvergenzbeweise für Algorithmen, um den Einsatz von Funktionalanalysis zur Fehlerabschätzung
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SOFSEM 2024: Theory and Practice of Computer Science

49th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2024, Cochem, Germany, February 19–23, 2024, Proceedings

Edición de Henning Fernau, Serge Gaspers, Ralf Klasing ...

Series series Springer Nature Proceedings Computer Science
This book constitutes the proceedings of the 49th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2024, held in Cochem, Germany, in February 2024.The 33 full papers presented in this book were carefully reviewed and selected from 81 submissions. The book also contains one invited talk in full paper length.They focus on original research and challenges ... Leer más

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This book constitutes the proceedings of the 49th International Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2024, held in Cochem, Germany, in February 2024.The 33 full papers presented in this book were carefully reviewed and selected from 81 submissions. The book also contains one invited talk in full paper length.They focus on original research and challenges
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Algebra lineare e Geometria. Quiz ed Esercizi commentati e risolti

de Luigi Grasselli, Angiolina Barani, Claudia Landi ...

Il presente testo propone prove di verifica formativa relative agli argomenti tradizionalmente trattati nei corsi universitari di Algebra Lineare e Geometria degli Spazi Euclidei. Per ogni argomento, vengono proposti e risolti due tipi di prove:Si parte con una successione di quiz a risposta multipla, aventi lo scopo di fornire allo studente uno strumento di autovalutazione del grado di conoscenza ... Leer más

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Matrix Inequalities and Their Extensions to Lie Groups

de Tin-Yau Tam, Xuhua Liu ...

Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to linear algebraists and Lie group researchers. ... Leer más

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Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to linear algebraists and Lie group researchers.
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Series series Mathematics and Statistics (R0)
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Categories for the Working Mathematician

de Saunders Mac Lane ...

Series series Mathematics and Statistics (R0)
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Series series Mathematics and Statistics (R0)
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Cryptology and Error Correction

An Algebraic Introduction and Real-World Applications

de Lindsay N. Childs ...

Series series Mathematics and Statistics (R0)
This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie–Hellman, and Blum–Goldwasser cryptosystems and Hamming and Reed–Solomon error correction: how they are ... Leer más

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This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie–Hellman, and Blum–Goldwasser cryptosystems and Hamming and Reed–Solomon error correction: how they are
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Two-dimensional Crossing and Product Cubic Systems, Vol. I

Self-linear and Crossing-quadratic Product Vector Field

de Albert C. J. Luo ...

This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected ... Leer más

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This book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected
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Linear Algebra and Group Theory for Physicists and Engineers

de Yair Shapira ...

Series series Mathematics and Statistics (R0)
This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with ... Leer más

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This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with
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Lectures in Knot Theory

An Exploration of Contemporary Topics

de Józef H. Przytycki, Rhea Palak Bakshi, Dionne Ibarra, Gabriel Montoya-Vega, Deborah Weeks ...

Series series Mathematics and Statistics (R0)
This text is based on lectures delivered by the first author on various, often nonstandard, parts of knot theory and related subjects. By exploring contemporary topics in knot theory including those that have become mainstream, such as skein modules, Khovanov homology and Gram determinants motivated by knots, this book offers an innovative extension to the existing literature. Each lecture begins ... Leer más

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This text is based on lectures delivered by the first author on various, often nonstandard, parts of knot theory and related subjects. By exploring contemporary topics in knot theory including those that have become mainstream, such as skein modules, Khovanov homology and Gram determinants motivated by knots, this book offers an innovative extension to the existing literature. Each lecture begins
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Computing and Combinatorics

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Edición de Yong Chen, Xiaofeng Gao, Xiaoming Sun, An Zhang ...

Series Libro 1 - Springer Nature Proceedings Computer Science
This three-volume set LNCS 15161, 15162 and 15163 constitutes the refereed proceedings of the 30th International Conference, COCOON 2024, held in Shanghai, China, during August 23–25, 2024.The 90 full papers and 6 short papers were carefully reviewed and selected from 277 submissions. COCOON 2024 provided an excellent venue for researchers working in the area of algorithms, theory of computation, ... Leer más

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This three-volume set LNCS 15161, 15162 and 15163 constitutes the refereed proceedings of the 30th International Conference, COCOON 2024, held in Shanghai, China, during August 23–25, 2024.The 90 full papers and 6 short papers were carefully reviewed and selected from 277 submissions. COCOON 2024 provided an excellent venue for researchers working in the area of algorithms, theory of computation,
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Formal Verification of Structurally Complex Multipliers

de Alireza Mahzoon, Daniel Große, Rolf Drechsler ...

Series series Engineering (R0)
This book addresses the challenging tasks of verifying and debugging structurally complex multipliers. In the area of verification, the authors first investigate the challenges of Symbolic Computer Algebra (SCA)-based verification, when it comes to proving the correctness of multipliers. They then describe three techniques to improve and extend SCA: vanishing monomials removal, reverse engineering ... Leer más

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This book addresses the challenging tasks of verifying and debugging structurally complex multipliers. In the area of verification, the authors first investigate the challenges of Symbolic Computer Algebra (SCA)-based verification, when it comes to proving the correctness of multipliers. They then describe three techniques to improve and extend SCA: vanishing monomials removal, reverse engineering
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Heat Kernel on Lie Groups and Maximally Symmetric Spaces

de Ivan G. Avramidi ...

Series series Mathematics and Statistics (R0)
This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form – and derives them – for the heat kernel on spheres and hyperbolic spaces. Part I considers the geometry of simple Lie groups and maximally ... Leer más

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This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form – and derives them – for the heat kernel on spheres and hyperbolic spaces. Part I considers the geometry of simple Lie groups and maximally
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Two-dimensional Two Product Cubic Systems, Vol. III

Self-linear and Crossing Quadratic Product Vector Fields

de Albert C. J. Luo ...

This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing ... Leer más

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This book is the eleventh of 15 related monographs on Cubic Systems, examines self-linear and crossing-quadratic product systems. It discusses the equilibrium and flow singularity and bifurcations, The double-inflection saddles featured in this volume are the appearing bifurcations for two connected parabola-saddles, and also for saddles and centers. The parabola saddles are for the appearing
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Mathematical Sciences and Applications

Proceedings of the International Conference on Mathematical Sciences and Applications (ICMSA 2023)

Edición de Sanjay Chaudhary, Sanjeev Kumar, Shyamli Gupta ...

The papers appearing in these proceedings are part of talks, oral presentations and poster presentations given at the International Conference on Mathematical Sciences and Applications held in the Department of Mathematics, Dr. Bhimrao Ambedkar University, Agra (India) from March 24-26, 2023. The Conference was held under the auspices of the Mathematics Department which is recognized and founded ... Leer más

$60,949 CLP

The papers appearing in these proceedings are part of talks, oral presentations and poster presentations given at the International Conference on Mathematical Sciences and Applications held in the Department of Mathematics, Dr. Bhimrao Ambedkar University, Agra (India) from March 24-26, 2023. The Conference was held under the auspices of the Mathematics Department which is recognized and founded
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Automorphic Forms and Even Unimodular Lattices

Kneser Neighbors of Niemeier Lattices

Traducido por Reinie Erné ...

de Gaëtan Chenevier, Jean Lannes ...

Series series Mathematics and Statistics (R0)
This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur.Its connecting thread is a question about lattices of rank 24: the problem of p ... Leer más

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This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur.Its connecting thread is a question about lattices of rank 24: the problem of p
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