Products related to Mathematical:
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Mathematical Modelling of System Resilience
Almost all the systems in our world, including technical, social, economic, and environmental systems, are becoming interconnected and increasingly complex, and as such they are vulnerable to various risks.Due to this trend, resilience creation is becoming more important to system managers and decision makers, this to ensure sustained performance.In order to be able to ensure an acceptable sustained performance under such interconnectedness and complexity, resilience creation with a system approach is a requirement.Mathematical modeling based approaches are the most common approach for system resilience creation.Mathematical Modelling of System Resilience covers resilience creation for various system aspects including a functional system of the supply chain, overall supply chain systems; various methodologies for modeling system resilience; satellite-based approach for addressing climate related risks, repair-based approach for sustainable performance of an engineering system, and modeling measures of the reliability for a vertical take-off and landing system.Each of the chapters contributes state of the art research for the relevant resilience related topic covered in the chapter.Technical topics covered in the book include:1. Supply chain risk, vulnerability and disruptions 2. System resilience for containing failures and disruptions3.Resiliency considering frequency and intensities of disasters4.Resilience performance index5. Resiliency of electric Traction system6. Degree of resilience7. Satellite observation and hydrological risk8. Latitude of Resilience9. On-line repair for resilience10. Reliability design for Vertical Takeoff and landing Prototype
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Cryptographic Primitives in Blockchain Technology : A mathematical introduction
Many online applications, especially in the financial industries, are running on blockchain technologies in a decentralized manner, without the use of an authoritative entity or a trusted third party.Such systems are only secured by cryptographic protocols and a consensus mechanism.As blockchain-based solutions will continue to revolutionize online applications in a growing digital market in the future, one needs to identify the principal opportunities and potential risks.Hence, it is unavoidable to learn the mathematical and cryptographic procedures behind blockchain technology in order to understand how such systems work and where the weak points are. Cryptographic Primitives in Blockchain Technology provides an introduction to the mathematical and cryptographic concepts behind blockchain technologies and shows how they are applied in blockchain-based systems.This includes an introduction to the general blockchain technology approaches that are used to build the so-called immutable ledgers, which are based on cryptographic signature schemes. As future quantum computers will break some of the current cryptographic primitive approaches, Andreas Bolfing considers their security and presents the current research results that estimate the impact on blockchain-based systems if some of the cryptographic primitive break.Based on the example of Bitcoin, he shows that weak cryptographic primitives pose a possible danger for the ledger, which can be overcome through the use of the so-called post-quantum cryptographic approaches.
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The Mathematical Resilience Book : How Everyone Can Progress in Mathematics
This book is about mathematical resilience: what it is, why it is important, how learners can develop it and how teachers can teach in ways that help learners become mathematically resilient.Teaching for mathematical resilience helps mitigate mathematics anxiety, which is often hidden from view as poor behaviour, avoidance and underachievement and can have long-term implications especially for people’s employment opportunities and career progression. Written by a team of expert contributors that specialise in teaching every age of learner from primary school through to adult, the book shows that everyone can progress in mathematics if they have Mathematical Resilience and sets out practical strategies to support learners in developing this important attribute.Chapters cover:How to measure mathematics anxiety and resilienceTools for building mathematical resilienceBuilding a resilient mathematical learning environmentThe power of coachingWorking with groups, individuals and support staffSupporting parents and carersThe world faces huge challenges that involve mathematical thinking, including climate change and economic injustice.This valuable text shows teachers how they can help learners to engage positively with mathematical learning and reach their full potential.
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Fashion and Environmental Sustainability : Entrepreneurship, Innovation and Technology
The wide range of topics that the book covers are organised into sections reflecting a cradle to grave view of how entrepreneurial, innovative, and tech-savvy approaches can advance environmental sustainability in the fashion sector.These sections include: sustainable materials; innovation in design, range planning and product development; sustainable innovations in fashion supply chains; sustainable innovations in fashion retail and marketing; sustainable alternatives for end-of-life and circular economy initiatives; and more sustainable alternative fashion business models.
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What is the mathematical growth of 7?
The mathematical growth of 7 can be represented by the function f(x) = 7x, where x is the number of times 7 is multiplied by itself. This represents exponential growth, as each time 7 is multiplied by itself, the result grows rapidly. For example, 7^1 = 7, 7^2 = 49, 7^3 = 343, and so on. This exponential growth pattern demonstrates the increasing power of 7 as it is multiplied by itself multiple times.
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What is the mathematical growth of 4?
The mathematical growth of 4 can be represented as an exponential function. When 4 is raised to the power of n, where n is a positive integer, the result will increase exponentially. For example, 4^1 = 4, 4^2 = 16, 4^3 = 64, and so on. This exponential growth pattern demonstrates how rapidly the value of 4 increases as it is raised to higher powers.
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Where is the error in mathematical growth processes?
The error in mathematical growth processes typically arises from incorrect assumptions or inputs in the calculations. This could include using inaccurate data, applying the wrong formula, or making a mistake in the calculations. It is important to double-check all inputs and calculations to ensure the accuracy of the growth process and avoid errors.
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What are the mathematical models for growth processes?
Mathematical models for growth processes typically involve exponential or logistic functions. Exponential growth models assume that a population grows at a constant percentage rate over time, while logistic growth models take into account limiting factors that eventually slow down the growth rate. These models are often used in biology, economics, and other fields to predict and understand how populations or quantities change over time. They can help in making projections, understanding trends, and making informed decisions based on the growth patterns.
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Mathematical Writing
This book teaches the art of writing mathematics, an essential -and difficult- skill for any mathematics student.The book begins with an informal introduction on basic writing principles and a review of the essential dictionary for mathematics.Writing techniques are developed gradually, from the small to the large: words, phrases, sentences, paragraphs, to end with short compositions.These may represent the introduction of a concept, the abstract of a presentation or the proof of a theorem.Along the way the student will learn how to establish a coherent notation, mix words and symbols effectively, write neat formulae, and structure a definition. Some elements of logic and all common methods of proofs are featured, including various versions of induction and existence proofs.The book concludes with advice on specific aspects of thesis writing (choosing of a title, composing an abstract, compiling a bibliography) illustrated by large number of real-life examples.Many exercises are included; over 150 of them have complete solutions, to facilitate self-study. Mathematical Writing will be of interest to all mathematics students who want to raise the quality of their coursework, reports, exams, and dissertations.
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Mathematical Cavalcade
Mathematical Cavalcade follows the very successful Amazing Mathematical Amusement Arcade and The Mathematical Funfair by the same author.It contains a further 131 puzzles to challenge people of all ages.Hints and solutions are given in a commentary at the back of the book.
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Mathematical Adventures
School mathematics sometimes excite and sometimes scare, and sadly, sometimes bore.In fact, elementary school arithmetic seems to get us through most situations.So why all the rest? This book aspires to give a glimpse into how things started and evolved, and how math can help us today, from simple measurements to navigating using mathematically simplified maps.The accompanying activities (some easier and some more challenging ones) aim to engage you with what was happening at a given time.Answers and explanations are in the end of the book.
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Mathematical Logic
This textbook introduces first-order logic and its role in the foundations of mathematics by examining fundamental questions.What is a mathematical proof? How can mathematical proofs be justified? Are there limitations to provability? To what extent can machines carry out mathematical proofs?In answering these questions, this textbook explores the capabilities and limitations of algorithms and proof methods in mathematics and computer science. The chapters are carefully organized, featuring complete proofs and numerous examples throughout.Beginning with motivating examples, the book goes on to present the syntax and semantics of first-order logic.After providing a sequent calculus for this logic, a Henkin-type proof of the completeness theorem is given.These introductory chapters prepare the reader for the advanced topics that follow, such as Gödel's Incompleteness Theorems, Trakhtenbrot's undecidability theorem, Lindström's theorems on the maximality of first-order logic, and results linking logic with automata theory.This new edition features many modernizations, as well as two additional important results: The decidability of Presburger arithmetic, and the decidability of the weak monadic theory of the successor function. Mathematical Logic is ideal for students beginning their studies in logic and the foundations of mathematics.Although the primary audience for this textbook will be graduate students or advanced undergraduates in mathematics or computer science, in fact the book has few formal prerequisites.It demands of the reader only mathematical maturity and experience with basic abstract structures, such as those encountered in discrete mathematics or algebra.
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What is the mathematical definition of growth rate and growth factor?
The growth rate is the rate at which a quantity increases over time, expressed as a percentage. It is calculated by taking the difference between the final and initial values, dividing by the initial value, and then multiplying by 100. The growth factor, on the other hand, is the factor by which a quantity increases over time. It is calculated by taking the final value and dividing it by the initial value. Both the growth rate and growth factor are used to measure the rate of change or increase in a quantity over time.
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How do you calculate mathematical tasks in manufacturing technology?
In manufacturing technology, mathematical tasks are often calculated using various formulas and equations. These calculations can involve determining dimensions, tolerances, material properties, and other parameters necessary for designing and producing parts and products. Additionally, mathematical tasks in manufacturing technology may also involve using geometric and trigonometric principles to solve problems related to machining, tooling, and assembly. Computer-aided design (CAD) and computer-aided manufacturing (CAM) software are often used to perform these calculations and ensure accurate and efficient production processes.
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What is the mathematical word problem about exponential growth?
An example of a mathematical word problem about exponential growth could be: "A population of bacteria doubles every hour. If there are initially 100 bacteria, how many will there be after 5 hours?" In this problem, the exponential growth is represented by the doubling of the population every hour, and the initial value of 100 bacteria. The exponential growth formula, N = N0 * (1 + r)^t, can be used to solve for the final population after 5 hours, where N0 is the initial population, r is the growth rate, and t is the time.
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What is the mathematical formula for exponential growth or decay?
The mathematical formula for exponential growth is given by the equation: \[N(t) = N_0 \times e^{rt}\] where N(t) is the population at time t, N0 is the initial population, e is the base of the natural logarithm (approximately 2.71828), r is the growth rate, and t is the time. For exponential decay, the formula is: \[N(t) = N_0 \times e^{-rt}\] where N(t) is the remaining quantity at time t, N0 is the initial quantity, e is the base of the natural logarithm (approximately 2.71828), r is the decay rate, and t is the time.
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