Matematik

This book investigates in detail the mathematical methods and computation methods in efficient solution of some open nonlinear seepage flow problems involved in engineering problems. Developed engineering technologies and some relevant practical field applications are also provided. The introduced open nonlinear problems include nonlinear quadratic pressure gradient term problem, compressible gas seepage flow problem and low-velocity non-Darcy seepage flow problem. Studies on these nonlinear seepage flow problems have attracted engineers and scientists from various disciplines, such as geo-energy engineering, civil and environmental engineering, fluid mechanics, applied mathematics and computation. In particular, the book systematically establishes a fundamental theory for a strongly nonlinear problem of low-velocity non-Darcy seepage flow from a new perspective of moving boundary, while emphasizing the usage of mathematical linearization transformation methods and computational methods into the analytical and numerical solution of the strongly nonlinear partial differential equations. Sufficient knowledge of mathematics is always introduced ahead of model solution to assist readers. And the procedure of strict formula deduction in the model solution process is provided in detail. High-solution figures and tables from model solution are rich in the book. Therefore, it is very helpful for the readers to master the nonlinear model solution methods and engineering technologies. The book is intended for upper undergraduate students and graduate students who are interested in engineering technology, fluid mechanics and applied mathematics, researchers and engineers working on geo-energy science and engineering and field applications.

"Arithmophobia," n.: The fear of numbers or mathematics.Whether you love mathematics or find it terrifying, this anthology of original tales of terror is sure to send a chill down your spine. With an unlucky thirteen brand new horror stories and a bonus poem in case any readers suffer from triskaidekaphobia, these pages combine the talents of some of the genre's most experienced award-winning practitioners of terror and some of the literary world's most promising new voices.Featuring contributions by Elizabeth Massie, Miguel Fliguer, Mike Slater, Patrick Freivald, Liz Kaufman, Damon Nomad, Sarah Lazarz, Martin Zeigler, Josh Snider, Rivka Crowbourne, Joe Stout, Brian Knight, Wil Forbis, David Lee Summers, and Maxwell I. Gold.These stories tell us of strange and horrifying new geometries, crazed and violent mathematicians, sentient and malevolent numbers, and even some new mathematical twists on some classic monsters. You needn't be a mathematician to experience these new forms of mathematical terror, though students of the discipline might recognize some familiar names and ideas lurking in the shadows.So pull up a chair, dust off your abacus and slide rule, and prepare to experience...Arithmophobia.

The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.

T¿puna Rock is a tale of two teenage siblings raised in Canada by their M¿ori mother and Canadian father. While on vacation in Aotearoa New Zealand, their borrowed sloop is disabled in a storm with only the two teens aboard. Having lost their navigation gear, after six days adrift with no sense of direction, they beach their damaged boat on a desolate 'rock'. With no idea where they are and their boat damaged beyond repair, the teens recognize that they cannot save themselves unless they listen to the spirits of their Polynesian ancestors. Recalling knowledge shared by their M¿ori grandparents and basic science and mathematics, the protagonists reinvent enough traditional non-instrument navigation to determine where they are, design and build a boat and plot a course to sail one thousand kilometres back to Aotearoa after more than three months on their 'rock'.T¿puna Rock is written to appeal to a broad range of ages, including secondary-school students among whom engagement in science and mathematics is often declining, particularly among indigenous students. The reader becomes invested in the protagonists and their situation on a purely human level in the novel's first two chapters. In subsequent chapters the protagonists come to understand and value ancestral knowledge in the context of modern science and mathematics. In the process, the teens teach each other, and the reader.

This book features chapters written by renowned scientists from various parts of the world, providing an up-to-date survey of submanifold theory, spanning diverse topics and applications. The book covers a wide range of topics such as Chen¿Ricci inequalities in differential geometry, optimal inequalities for Casorati curvatures in quaternion geometry, conformal ¿-Ricci¿Yamabe solitons, submersion on statistical metallic structure, solitons in f(R, T)-gravity, metric-affine geometry, generalized Wintgen inequalities, tangent bundles, and Lagrangian submanifolds. Moreover, the book showcases the latest findings on Pythagorean submanifolds and submanifolds of four-dimensional f-manifolds. The chapters in this book delve into numerous problems and conjectures on submanifolds, providing valuable insights for scientists, educators, and graduate students looking to stay updated with the latest developments in the field. With its comprehensive coverage and detailed explanations, this book is an essential resource for anyone interested in submanifold theory.

"This volume contains nine survey articles by the invited speakers of the 30th British Combinatorial Conference, one of the major international events in combinatorics. Written by leading experts in the field, these articles provide a snapshot of current developments in combinatorics for researchers and graduate students in discrete mathematics"--

We have found a few interesting formulas in the course of long-term study of special function theory, especially approximate formulas related to mathematical constants and special functions.Special function theory has been widely applied not only in mathematical fields, including analytical, mathematical, stochastic, but also in physics, chemistry, statistical physics, computer science and engineering.Among the special functions used by many people in mathematics and engineering, Gamma functions are the most important, and research on Gamma functions and their applications is the main topic of many papers.One of the most important in the study of special function theory is to find more accurate approximate formulas related to special functions or mathematical constants.To this end, many mathematicians and scientists are making much effort to establish more precise approximate formulas for special functions and mathematical constants, and many good results have been presented.We systematically describe previous results by comprehensive analysis and present new approximate formulas superior to previous results.

Problems involving harmonic numbers are so strange in solution way and those approaches or results are attracting the attention of students interested in mathematics as well as mathematicians and engineers, as there are many areas of application. In scientific and technological calculations that occur in various fields of mathematics and engineering, computational problems associated with various mathematical constants are often encountered, some of which are important tools for solving scientific and technological problems. There have been many open problems that have not been addressed before, due to the high level of scientific theory and the high performance of computer-based computing tools. Nevertheless, the world of mathematics still has a lot of problems to be discovered, so new and diverse methods are needed to solve these problems. This book contains open problems and challenging problems presented in several mathematical reference books and add their new generalizations written by us.

Wie sprechen wir auf Klingonisch über die Mathematik?Wie sprechen wir über die klingonische Mathematik?Klingonisch ist einfach. Klingonisch ist schön.Und die klingonische Mathematik ist einfach schön, verschroben und interessant - übrigens genauso verschroben und interessant wie der Schöpfer der klingonischen Sprache, Marc Okrand, der leider so gar keine Ahnung von Mathematik hat und deshalb besonders grandios einzigartig-skurile Ideen in die klingonische Mathematik hineinerfindet.Fazit: Ein etwas anderes Algebra-Buch, am Ende mit einem Ausblick auf die klingonische Geometrie, auf die klingonische Pauli-Algebra und die klingonische Fassung der Cramerschen Regel. Und diese Cramersche Regel ist eine Weltpremiere, denn wer hat schon einmal ein lineares Gleichungssystem mit Hilfe von schräg stehenden klingonischen Vektoren gelöst?

Looking to unravel the mysteries of quantum mechanics? Dive into "Complex Mathematical Problems and Their Solutions for Quantum Engineers" by Dr. Kuro Aksara, a comprehensive guide packed with all the essential tools and concepts needed to navigate the complex world of quantum engineering. From quantum states and operators to quantum computing and beyond, this book offers clear explanations and practical solutions to help you master the mathematical foundations of this cutting-edge field. With its engaging style and wealth of knowledge, it's a must-have resource for any aspiring quantum engineer.

Folkeskolens prøver 2023Opgavesæt med folkeskolens prøver i matematik, Danmark og Grønland 2023.Folkeskolens prøver 2023 indeholder: Seks artikler til brug som oplæg til diskussioner i fagteamet: Prøven uden hjælpemidler bl.a. med data fra maj prøvens elevbesvarelser FP9 prøven med hjælpemidler med data fra maj prøverne FP10 Skriftlig matematik med data fra maj prøverne Nye tendenser i elevernes kommunikation Kan vi hjælpe eleverne bedre med deres kommunikation? Fremtidens kommunikation med AI? Prøverne maj og december De skriftlige matematikprøver til 9. og 10. klassetrin Den grønlandske prøve Løsningsforslag Omsætningstabeller. Materialet kan fx bruges i arbejdet med den skriftlige problembehandling i forhold til: Læsning og forståelse af selve opgaverne Procesorienteret opgaveløsning Træning af udvalgte faglige områder og matematiske kompetencer. Folkeskolens prøver i matematik 2023 Udgivet af Forlaget Matematik ApS med tilladelse fra STUK, Børne- og Undervisningsministeriet. STUK, Børne- og Undervisningsministeriet har stillet opgaver til rådighed på siderne 38-95. Forlaget Matematik ApS har leveret alle øvrige tekster. Redaktion: Klaus Fink, Lene Odefey og Simone Hauerslev Forlagsredaktion: Klaus Fink. Omslag: Marianne Kongsted Cordes og Simone Hauerslev. Billedet er genereret via OpenAI.com med DALL·E2.Tryk: Clemenstrykkeriet. ISSN: 2445-9933 ISBN: 978-87-93975-804. udgave, februar 2023. Opgavesættene fra Danmark er udarbejdet af opgavekommissionens medlemmer: Heidi Kristiansen, Lene Odefey, Line Engsig, Kaj Østergaard, Rikke Teglskov, Simone Hauerslev og Thomas Kaas.

In this 21st century, whether we like it or not, computer technology remains the mainstay of modern state development. The technology itself will not be effective without the inescapable mode of encoding the information. The information of the technology is all digitally coded in a very resistant way. This digital coding strength is based on prime numbers. The digital information is coded through the products of two prime numbers. In computing, these two prime numbers are called the private keys. In computer science, it is the product of these two private keys that gives the public key. To make it easier to decode computer codes, I have set up a system that I have named "horizontal and vertical system", abbreviated (SHV). I will develop widely the (SHV) in all its meanings in this book.

El libro que tienes en tus manos te ayudará a profundizar en temas matemáticos de relevancia en la vida universitaria.El enfoque del libro está en las aplicaciones y la comprensión de los conceptos. Se han seleccionado aquellos tópicos de la matemática elemental que son la base de los conocimientos para la matemática superior.El libro consta de cinco unidades referidas al uso de los números y sus relaciones, el manejo de las expresiones algebraicas, las ecuaciones e inecuaciones, mediciones geométricas y trigonométricas y elementos de precálculo.Cada unidad se organiza en lecciones, las cuales empiezan con una situación real que puede ser resuelta intuitivamente y te llevará a descubrir o explorar el concepto o procedimiento que se desarrollará en la lección. Luego se presenta un resumen teórico esencial y algunos ejemplos resueltos o incompletos para que puedas ejercitarte. Al final de cada lección encontrarás diversas situaciones problemáticas referidas a la lección, resuélvelas pues te ayudarán a mejorar tu desempeño en el curso.El libro también contiene tareas y evaluaciones desglosables, tu profesor indicará cuándo deben realizarlas.

Regnestrategier 8Regn med procentI hæftet arbejdes der systematisk med beregninger med procent. Det er en fordel, at eleven har arbejdet med hæfterne Brøker og procent og Regn med brøker forud for dette hæfte.Se og regn er en serie elevhæfter, der understøtter elevernes individuelle arbejde med de forskellige områder af matematikken. Gennem systematisk tilgang sikres det, at eleverne får automatiseret de indlærte færdigheder. Der er fokus på regnestrategier og begrebsforståelse.Der er ikke klassebetegnelse på hæfterne - blot en markering af progressionen inden for hvert område. Det betyder, at hæfterne kan anvendes i hele skoleforløbet og i specialundervisningen.Eksemplarfremstilling elektronisk eller papirkopier/prints til undervisningsbrug er kun tilladt med en aftale med CopyDan Tekst & Node indenfor de rammer, der er nævnte i aftalen.

El modelamiento matemático aplicado a equipos destinados al proceso de conminución de minerales (chancado, molienda), involucra las funciones clasificación, fractura y selección quienes son constituidos básicamente por la distribución granulométrica del mineral a tratar. Y suelen ser herramientas tan importantes para llegar a simular y luego optimizar procesos metalúrgicos (a nivel laboratorio-industrial); vale decir llegar a predecir el producto granulométrico de un cierto mineral.En chancado obviamente el modelo almacenará intrínsecamente, inherentemente las características propias del mineral (dureza, fractura) y operativas del equipo. Así mismo por cada cierto intervalo de tiempo transcurrido de molienda, obtener su respectivo análisis granulométrico real (de laboratorio). Que luego será corroborado con lo simulado y poder verificar su buena aproximación, consiguiendo así poder predecir en forma efectiva y confiable, evitando costo y sobre todo tiempo. Y continuar encaminando el proceso dentro de su rango operativo.

Algebra con elementi di logica matematica e teoria degli insiemi.

This book is an introduction to the logic of partitions on a set as well as the (quantum) logic of partitions (direct-sum decompositions or DSDs) on a vector space. Partitions of a set are categorically dual to subsets of a set. Thus the logic of partitions is, in that sense, the dual to the Boolean logic of subsets (usually presented as the special case of propositional logic).Since partitions can be seen as the inverse image partitions of random variables or numerical attributes, partition logic is the logic of random variables or numerical attributes (abstracted from the actual values). On the lattice of partitions of an arbitrary unstructured set, there is a rich algebraic structure of dual operations of implication and co-implication - resembling a non-distributive version of Heyting and co-Heyting algebras.

Master maths at Entry Level 3 with this all-in-one book. Each topic is explained in a clear and straightforward way, followed by numerous practice questions from everyday contexts. The book includes exam-style questions and a practice paper at the end. Covering all topics in-depth in 215 pages, this book helps you prepare for the exam, further study and independent living.

This book proposed the creation of a secret key that acts as a roadmap for the embedding process and governs both the selection of hiding locations within the image and the amount of data concealed in each location. Two different approaches were used to generate this key, the first uses Linear Feedback Shift Registers (LFSRs), and the second uses a chaotic dynamic system. Furthermore, the randomness of the generated key was checked using the National Institute of Standards and Technology (NIST) tests to verify the randomness of the key.

The book focuses on original approaches intended to support the development of biologically inspired cognitive architectures. It bridges together different disciplines, including artificial intelligence, linguistics, neuro- and social sciences, psychology and philosophy of mind, among others. The chapters are based on contributions presented at the 2023 Annual International Conference on Brain-Inspired Cognitive Architectures for Artificial Intelligence (the 14th Annual Meeting of the BICA Society, BICA*AI 2023), organized in collaboration with the University of Ningbo and held on October 13-15, 2023, in Ningbo, China. The book discusses emerging methods, theories and ideas towards the realization of general-purpose humanlike artificial intelligence or fostering a better understanding of the ways the human mind works. It provides engineers, mathematicians, psychologists, computer scientists and other experts with a timely snapshot of recent research and a source of inspiration for future developments in the broadly intended areas of artificial intelligence and biological inspiration.