Mathematical tools

We propose to write a text on ordinary differential equations that will be meaningful, accessible, and engaging for a student with a basic grounding in calculus (for example, the student who has studied Calculus Demystified by this author will be more than ready for Differential Equations Demystified). There will be many applications, many graphics, a plethora of worked examples, and hundreds of stimulating exercises. The student who completes this book will be ready to go on to advanced analytical work in applied mathematics, engineering, and other fields of mathematical science.

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Cryptography is concerned with the conceptualization, definition, and construction of computing systems that address security concerns. The design of cryptographic systems must be based on firm foundations. This book presents a rigorous and systematic treatment of the foundational issues: defining cryptographic tasks and solving new cryptographic problems using existing tools. It focuses on the basic mathematical tools: computational difficulty (one-way functions), pseudorandomness, and zero-knowledge proofs.

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In this book you will find the basics of probability theory and statistics. In addition, there are several topics that go somewhat beyond the basics but that ought to be present in an introductory course: simulation, the Poisson process, the law of large numbers, and the central limit theorem. Computers have brought many changes in statistics. In particular, the bootstrap has earned its place. It provides the possibility to derive confidence intervals and perform tests of hypotheses where traditional (normal approximation or large sample) methods are inappropriate.

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This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly.

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Part 2 book "Alternative energy sources and technologies" includes content: Retrofit of total site heat exchanger networks by mathematical programming approach, improving energy efficiency in batch plants through direct heat integration, life cycle algal biorefinery design, planning and scheduling for industrial demand side management - Advances and challenges, industrial tools and needs, renewable based self sustainable operation of isolated islands,... and other contents.

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Lecture "Administration and visualization: Chapter 6 - Tools for data visualization" provides students with content about: Three kinds of visualization; Mathematical visualization; Scientific visualization; Information visualization; Introduction to pandas, numpy; Introduction to matplotlib;... Please refer to the detailed content of the lecture!

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Probability and Computer science - Lecture 1: Introduction to probability. This lecture provides students with content including: mathematical tools to deal with uncertain events; applications include; combinatorial analysis; counting; axioms of probability; conditional probability and inference;... Please refer to the detailed content of the lecture!

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Lesson planning is considered to be an important and efficient tool for effective teaching and learning process. Preparations of effective lesson plan requires teachers to be competent in the pedagogical content knowledge (PCK). This study investigated how the mathematics teachers’ PCK impact their competences on designing effective lesson plans.

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This study presented the effect of interactive mathematics (IM) software assisted-teaching on primary three learners' conceptual understanding and performance. The cognitive theory of multimedia learning (CTML) supported the quasi-experimental design of this study drawing on IM software features that fit a multimedia tool for effective learning.

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The study employed developmental research methods. A total of 213 pre-service teachers enrolled in different years of the Elementary Mathematics Teaching program at a state university in Turkey took part in the study. The “Problem Posing Test” was used as the data collecting tool. In this test, there are 3 multiplication and 3 division operations.

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The research subject is the process of economic and mathematical modelling of time series characterizing the bitcoin exchange rate volatility, based on the use of artificial neural networks. The purpose of the work is to search and scientifically substantiate the tools and mechanisms for developing prognostic estimates of the crypto currency market development. The paper considers the task of financial time series trend forecasting using the LSTM neural network for supply chain strategies.

5p longtimenosee09 08-04-2024 5 1   Download

Ebook "Theory of the electron: A theory of matter from START" is devoted to the construction of a deductive theory of the electron, starting from first principles and using a simple mathematical tool, geometric analysis. Its purpose is to present a comprehensive theory of the electron to the point where a connection can be made with the main approaches to the study of the electron in physics.

280p coduathanh1122 27-03-2024 4 1   Download

Part 1 book "Fundamentals of quantum mechanics - For solid state electronics and optics" includes content: Classical mechanics vs. quantum mechanics, basic postulates and mathematical tools, wave/particle duality and de Broglie waves, particles at boundaries, potential steps, barriers, and in quantum wells; the harmonic oscillator and photons; the hydrogen atom.

123p muasambanhan08 01-03-2024 1 1   Download

Part 1 book "Quantum mechanics - Concepts and applications" includes content: Origins of quantum physics, mathematical tools of quantum mechanics, postulates of quantum mechanics, one dimensional problems, angular momentum.

349p muasambanhan07 08-02-2024 0 0   Download

Part 1 book " Fundamentals of quantum" includes content: Classical mechanics vs. quantum mechanics; basic postulates and mathematical tools; wave/particle duality and de Broglie waves; particles at boundaries, potential steps, barriers, and in quantum wells; the harmonic oscillator and photons, the hydrogen atom.

123p muasambanhan07 18-02-2024 1 1   Download

Ebook "G protein-coupled receptors - Modeling and simulation" which provides, for the first time, state-of-the-art views on modeling and simulation of GPCRs, is divided into 4 parts. In the first part, the impact of currently available GPCR crystal structures on structural modeling is discussed extensively as are critical insights from simulations in the second part of the book. The third part reports recent progress in rational ligand discovery and mathematical modeling, whereas the fourth part provides an overview of bioinformatics tools and resources that are available for GPCRs.

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Ebook "System modeling in cell biology: From concepts to nuts and bolts" provides the necessary critical comparison of concepts and approaches, with an emphasis on their possible applications.

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Part 1 book "Improving rumen function" includes content: Colonization and establishment of the rumen microbiota – opportunities to influence productivity and methane emissions; a question of culture - bringing the gut microbiome to life in the -omics era; rumen metabolomics – a powerful tool for discovery and understanding of rumen functionality and health, a conceptual approach to the mathematical modelling of microbial functionality in the rumen,... and other contents.

376p muasambanhan05 16-01-2024 1 0   Download

In ebook "Open quantum systems: An introduction" the fundamental theory of open quantum systems is revised in the light of modern developments in the field. A unified approach to the quantum evolution of open systems is presented by merging concepts and methods traditionally employed by different communities, such as quantum optics, condensed matter, chemical physics and mathematical physics.

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Part 1 book "Improving rumen function" includes content: Colonization and establishment of the rumen microbiota – opportunities to influence productivity and methane emissions, a question of culture - bringing the gut microbiome to life in the -omics era; rumen metabolomics – a powerful tool for discovery and understanding of rumen functionality and health; a conceptual approach to the mathematical modelling of microbial functionality in the rumen.... and other contents.

412p muasambanhan04 11-01-2024 6 1   Download