Mathematical Inequalities Volume 2
This is Volume 2 of the five-volume book Mathematical Inequalities, which introduces and develops the main types of elementary inequalities. The first three volumes are a great opportunity to look into many old and new inequalities, as well as elementary procedures for solving them: Volume 1 - Symmetric Polynomial Inequalities, Volume 2 - Symmetric Rational and Nonrational Inequalities, Volume 3 - Cyclic and Noncyclic Inequalities. As a rule, the inequalities in these volumes are increasingly ordered according to the number of variables: two, three, four, ..., n-variables. The last two volumes (Volume 4 - Extensions and Refinements of Jensen's Inequality, Volume 5 - Other Recent Methods for Creating and Solving Inequalities) present beautiful and original methods for solving inequalities, such as Half/Partial convex function method, Equal variables method, Arithmetic compensation method, Highest coefficient cancellation method, pqr method etc. The book is intended for a wide audience: advanced middle school students, high school students, college and university students, and teachers. Many problems and methods can be used as group projects for advanced high school students.
First Course in the Theory of Equations
Unlock the mysteries of algebra with "First Course in the Theory of Equations," a timeless gem that has been out of print for decades and is now beautifully restored by Alpha Editions for today's and future generations. This edition is not just a reprint it's a collector's item and a cultural treasure, inviting both casual readers and classic literature enthusiasts to delve into the world of mathematical theory. This inspiring book serves as an essential guide to understanding algebraic equations and advanced algebra concepts. It offers readers a solid foundation in equation solving techniques and mathematical problem-solving, making it an invaluable resource for students and educators alike. With clear explanations and engaging examples, it empowers readers to embrace the beauty of mathematical analysis and introductory mathematics. As you turn the pages, you ll discover the historical significance of this work, which has shaped the landscape of STEM education resources. It s an invitation to explore the elegance of equations and the thrill of discovery in the realm of mathematics. Don t miss your chance to own this restored classic that bridges the gap between past and present. Dive into "First Course in the Theory of Equations" and experience the joy of learning that transcends generations.
Variational and Information Flows in Machine Learning and Optimal Transport
Proof Complexity Generators
The P vs. NP problem is one of the fundamental problems of mathematics. It asks whether propositional tautologies can be recognized by a polynomial-time algorithm. The problem would be solved in the negative if one could show that there are propositional tautologies that are very hard to prove, no matter how powerful the proof system you use. This is the foundational problem (the NP vs. coNP problem) of proof complexity, an area linking mathematical logic and computational complexity theory. Written by a leading expert in the field, this book presents a theory for constructing such hard tautologies. It introduces the theory step by step, starting with the historic background and a motivational problem in bounded arithmetic, before taking the reader on a tour of various vistas of the field. Finally, it formulates several research problems to highlight new avenues of research.
Differential Geometry
This book, Differential Geometry: Advanced Topics in CR and Pseudohermitian Geometry (Book I-D), is the fourth in a series of four books presenting a choice of advanced topics in Cauchy-Riemann (CR) and pseudohermitian geometry, such as Fefferman metrics, global behavior of tangential CR equations, Rossi spheres, the CR Yamabe problem on a CR manifold-with-boundary, Jacobi fields of the Tanaka-Webster connection, the theory of CR immersions versus Lorentzian geometry. The book also discusses boundary values of proper holomorphic maps of balls, Beltrami equations on Rossi spheres within the Koranyi-Reimann theory of quasiconformal mappings of CR manifolds, and pseudohermitian analogs to the Gauss-Ricci-Codazzi equations in the study of CR immersions between strictly pseudoconvex CR manifolds. The other three books of the series are: Differential Geometry: Manifolds, Bundles, Characteristic Classes (Book I-A) Differential Geometry: Riemannian Geometry and Isometric Immersions (Book I-B) Differential Geometry: Foundations of Cauchy-Riemann and Pseudohermitian Geometry (Book I-C) The four books belong to an ampler book project, "Differential Geometry, Partial Differential Equations, and Mathematical Physics", by the same authors and aim to demonstrate how certain portions of differential geometry (DG) and the theory of partial differential equations (PDEs) apply to general relativity and (quantum) gravity theory. These books supply some of the ad hoc DG and PDEs machinery yet do not constitute a comprehensive treatise on DG or PDEs, but rather authors' choice based on their scientific (mathematical and physical) interests. These are centered around the theory of immersions--isometric, holomorphic, and CR--and pseudohermitian geometry, as devised by Sidney Martin Webster for the study of nondegenerate CR structures, themselves a DG manifestation of the tangential CR equations.
Contribution Study of M/M(a, b)/1 Queueing System with vacation Polices
The underlying assumption of queuing theory is that arrivals to the system are characterized by a probability distribution, the Poisson distribution, and service times by another known distribution, the exponential distribution. These assumptions enable analysts to devise easily solvable mathematical models, which may be used to evaluate system performance. Single Server Bulk service M / M (a, b) / 1 Queueing System, when solving the single server bulk service queueing models numerically, the results of system measures have been obtained effectively by using Matlab software.
Impact of Awareness of Diabetes Mellitus
The book "Impact of Awareness of Diabetes Mellitus Among Individuals: A Mathematical Model-Based Study" explores the critical role of public awareness in controlling diabetes progression. Using mathematical modeling, it demonstrates how education and awareness influence diagnosis, treatment adherence, and disease burden reduction. The study confirms that sustained awareness campaigns significantly lower undiagnosed cases, improving healthcare outcomes and easing system strain. It provides data-driven insights for policymakers, recommending targeted interventions, digital health strategies, and behavioral tracking. The book highlights the power of mathematics in shaping public health initiatives, emphasizing the need for continuous engagement to prevent and manage diabetes effectively.
Existence and uniqueness of the weak solution for aP-Laplacian problem
In this work, we study the existence and uniqueness of weak solutions for a p-Laplacianproblem in RN of the form: -Δpu + m(x)up-2u = f(x, u(x)), (1)where 1
A New Method of Time Series Forecast
This book determines the trend and variability of a time series data, focused on traditional time series models forecast analysis and their volatility and also focuses on a comparative study of different existing individual and combination forecasts with a proposed Hybrid Stochastic Model (HSM) forecast procedure. For this considered a hydrological time series data of the Indian subcontinent to test the proposed forecast model, and also examined the model's dimension reduction approach to choose an optimum number of forecast techniques to be included in the model to yield the best forecasts.
Logic
This groundbreaking textbook presents a new approach to the study of logic by combining classical foundations with modern information-theoretic perspectives. Following a detailed introduction, it offers an information-theoretic formalization of logic. Subsequently, well-known but still unsolved problems, such as the P versus NP problem, are addressed using the provided tools. An optimization algorithm for the target requirements of logical problem-solving-regarding computability, expressiveness, and consistency-is presented, and finally, a few applications in other fields are showcased. The book offers students and researchers a comprehensive journey through the fundamental principles of logic while introducing innovative concepts at the intersection of logic, information theory, and computational complexity. Key features include: -Solid foundations in classical logic, including propositional and predicate logic, validity, and formal inference. -Novel integration of Shannon's information theory with traditional logical concepts. -Exploration of new approaches to axiomatization and formalization in light of G繹del's incompleteness results. -In-depth analysis of the P versus NP problem with information-theoretic and optimization approaches. -Clear explanations and examples suitable for beginners and beyond. -Applications in mathematics, computer science, and related fields.
333 Multiple-Choice Questions
Master the Fundamentals of Mathematics - One Question at a Time! This book offers 333 carefully selected multiple-choice questions covering the core topics of high school mathematics. Designed specifically for students preparing for the German Abitur, it provides a structured and effective way to test, reinforce, and deepen essential skills. Whether you're reviewing key concepts, preparing for exams, or simply want to gain more confidence in mathematics - this book is your ideal companion. - Perfect for students at Gymnasium, Fachoberschule, and Berufliches Gymnasium - Clear structure, concise explanations, and practical examples - Aligned with the curriculum of the German upper secondary level A compact and powerful tool for focused learning and exam preparation.
Inverse Problems: Modelling and Simulation
This volume presents the latest theoretical and experimental advancements in the field of inverse problems in recent years. It includes outstanding research results that reflect current theoretical and numerical aspects of inverse problems and their various applications. The volume is a collection of selected contributions from nearly three hundred invited presentations at the International Conference "Inverse Problems: Modelling and Simulation" (IPMS 2024) held from May 26 to June 1, 2024, in Malta. The topics covered in this volume are closely related to emerging deterministic and stochastic models in the fields of medical imaging, biology, geophysics, radar, computer science, communication theory, signal processing, visualization, engineering, and economics. The contributions in this volume reflect a broad range of problems in the theory and applications of inverse problems that are useful for mathematicians, physicists, engineers, and researchers working with inverse problems.
Functional Differential Systems
This book is a trail-blazer in robust formulations, investigations of computational feasibility and electronic implementations of mathematical results. It developed and used the core concept and computable expressions for determining matrices to establish necessary and sufficient conditions for Euclidean controllability of certain classes of functional differential systems. To actualize the applications of variation of constants formulas for initial and terminal function problems, as well as the characterization of controllability in terms of indices of control systems, this book pioneered the formulation and validation of the expressions and structures of solution and control index matrices for some classes of hereditary systems. To eliminate all computational and implementation constraints and achieve large-scale industrial applicability of the results, the book developed and provided software codes with a user guide for the implementation of results on the C++ platform. This has placed the generally neglected implementation aspect of mathematical results on the front burner, thus providing implementation paradigm shift.
The Asymptotic Behavior of Porous Systems
This book presents a rigorous and comprehensive treatment of the mathematical theory and real-world applications of porous systems, with a special focus on their asymptotic behavior. It combines analytical, numerical, and computational perspectives to bridge fundamental science and engineering applications, making it relevant to mathematicians, physicists, engineers, and material scientists. It also synthesizes the mathematical foundations, modeling strategies, and engineering practices of porous media systems with asymptotic behavior as a unifying theme, which empowers the readers to model, analyze, and design next-generation porous systems across diverse disciplines.
Experimental Techniques in Medicinal Chemistry & Instrumental Analysis
"Experimental Techniques in Medicinal Chemistry and Instrumental Methods" is a comprehensive practical guide designed for pharmacy students and professionals. It integrates core laboratory techniques in organic chemistry with essential instrumental methods used in pharmaceutical analysis. The book is divided into two main sections: one focusing on the synthesis, purification, and identification of organic compounds, and the other covering instrumental techniques such as UV-Vis spectroscopy, IR, and chromatography. Each experiment includes clear objectives, step-by-step procedures, observations, and discussions to build both conceptual understanding and practical skills. Emphasis is placed on laboratory safety, analytical precision, and real-world applications. This manual is especially useful for BSC, MSC, B.Pharm and M.Pharm students, educators, and those working in pharmaceutical quality control, offering a solid foundation in experimental pharmaceutical chemistry.
Computational Methods with Probability
Numerical methods and probability are crucial for solving complex problems and understanding uncertain outcomes in various fields. Numerical methods provide tools for approximating solutions to problems that are difficult or impossible to solve analytically, while probability helps quantify and analyze randomness in real-world phenomena. Our purpose in writing this book was to provide a clear, accessible treatment of Mathematics for students studying graduate or post graduate courses in science and engineering. It focuses on the interpretation of mathematical results, especially in real world settings. In addition to end of section practice and homework sets, examples of each topic are explained step-by-step throughout the text and followed by a problem that is designed as extra practice for students. The objective is to learn what methods are available and more importantly, when they should be applied. Many examples are presented to clarify the use of the techniques and to demonstrate what conclusions can be made.
Advances Statistic Inference Process Driven Fraction Process
One of the important problems in studying stochastic phenomena is to develop stochastic models and understand their implications behind the phenomenon. Long range dependence is an important stochastic phenomena and it needs study of special type of stochastic processes for modelling. My earlier book on Statistical Inference for Fractional Diffusion Processes (2010) dealt with several aspects for modelling by fractional Brownian motion. This book will contain my work on parametric and nonparametric inference for processes driven by fractional processes such as fractional Brownian motion, mixed fractional Brownian motion, sub-fractional Brownian motion, alpha-stable noise, fractional Levy process and Gaussian processes.
Numerical Linear Algebra with Applications
Numerical Linear Algebra with Applications: Using MATLAB and Octave, Second Edition provides practical knowledge on modern computational techniques for the numerical solution of linear algebra problems. The book offers a unified presentation of computation, basic algorithm analysis, and numerical methods to compute solutions. Useful to readers regardless of background, the text begins with six introductory courses to provide background for those who haven't taken applied or theoretical linear algebra. This approach offers a thorough explanation of the issues and methods for practical computing using MATLAB as the vehicle for computation. Appropriate for advanced undergraduate and early graduate courses on numerical linear algebra, this useful textbook explores numerous applications to engineering and science.
A Treatise Of Geometry, Containing The First Six Books Of Euclid's Elements
"A Treatise Of Geometry, Containing The First Six Books Of Euclid's Elements, Together With the Elements of Solid Geometry" is a classic mathematical text meticulously presenting Euclid's foundational geometric principles. Authored by Daniel Cresswell, this treatise offers a rigorous exposition of plane geometry through the initial six books of Euclid's Elements, followed by an exploration of solid geometry. This work provides a comprehensive understanding of geometric concepts and theorems. This book is invaluable for students, scholars, and enthusiasts of mathematics and the history of science, offering both a historical perspective on the development of geometry and a solid foundation in the core principles of Euclidean geometry. Cresswell's clear and systematic approach makes this edition accessible to both beginners and advanced learners, solidifying its place as a timeless resource in the field of mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Collineations in Space of Four Dimensions
The University of Kansas (KU) is a public research university and the largestuniversity in the state of Kansas. Created by the staff of the KU libraries, KU ScholarWorks is the digital repository of the University. It contains scholarly workcreated by KU faculty and staff, as well as material from the University Archives. KUScholarWorks makes important research and historical items available to a wideraudience and helps assure their long-term preservation. The University of Kansas's KU ScholarWorks Pre-1923 Theses and Dissertationcollection was digitized by the Scholarly Communications program staff in the KULibraries' Center for Digital Scholarship. These theses and dissertations range from 1883 - 1921 and reflect topics from Engineering and History to Economics and Chemistry, including titles like "A Study of Terpeneless Lemon Extracts, English Interest in the Abolition of the Slave Trade, and Aspects of the Gothic Romance."This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Proposed Mathematical Model for Predicting Military Electronic Equipment Component Failure Rates and Isolating Underlying Failure Causes
A mathematical expression for combining the entire failure rate curve is derived based on the assumption that the failure population is composed of three subpopulations, early, chance, and wear out. A graphical method is provided for separating the subpopulations and determining the parameters of the model. The expression is then applied to observed failure data in three detailed examples and in each case the model is shown to represent the observed data at the.05 significance level using the Kolmogorov-Smirnov Test. Two BASIC language computer programs are provided to simplify the use of the proposed model.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Foundations of Arithmetic
The University of Kansas (KU) is a public research university and the largestuniversity in the state of Kansas. Created by the staff of the KU libraries, KU ScholarWorks is the digital repository of the University. It contains scholarly workcreated by KU faculty and staff, as well as material from the University Archives. KUScholarWorks makes important research and historical items available to a wideraudience and helps assure their long-term preservation. The University of Kansas's KU ScholarWorks Pre-1923 Theses and Dissertationcollection was digitized by the Scholarly Communications program staff in the KULibraries' Center for Digital Scholarship. These theses and dissertations range from 1883 - 1921 and reflect topics from Engineering and History to Economics and Chemistry, including titles like "A Study of Terpeneless Lemon Extracts, English Interest in the Abolition of the Slave Trade, and Aspects of the Gothic Romance."This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Treatise Of Geometry, Containing The First Six Books Of Euclid's Elements
"A Treatise Of Geometry, Containing The First Six Books Of Euclid's Elements, Together With the Elements of Solid Geometry" is a classic mathematical text meticulously presenting Euclid's foundational geometric principles. Authored by Daniel Cresswell, this treatise offers a rigorous exposition of plane geometry through the initial six books of Euclid's Elements, followed by an exploration of solid geometry. This work provides a comprehensive understanding of geometric concepts and theorems. This book is invaluable for students, scholars, and enthusiasts of mathematics and the history of science, offering both a historical perspective on the development of geometry and a solid foundation in the core principles of Euclidean geometry. Cresswell's clear and systematic approach makes this edition accessible to both beginners and advanced learners, solidifying its place as a timeless resource in the field of mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Proceedings Of The Cambridge Philosophical Society
This volume contains the proceedings of the Cambridge Philosophical Society, covering mathematical and physical sciences. It offers a detailed record of scholarly presentations and discussions from a pivotal era in scientific inquiry. The collection provides insights into the prevailing theories, methodologies, and debates shaping the scientific landscape. Researchers and historians of science will find this volume an invaluable resource for understanding the development of mathematical and physical sciences within an influential academic society.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Proceedings Of The Cambridge Philosophical Society
This volume contains the proceedings of the Cambridge Philosophical Society, covering mathematical and physical sciences. It offers a detailed record of scholarly presentations and discussions from a pivotal era in scientific inquiry. The collection provides insights into the prevailing theories, methodologies, and debates shaping the scientific landscape. Researchers and historians of science will find this volume an invaluable resource for understanding the development of mathematical and physical sciences within an influential academic society.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Projective Groups of Perspective Collineations in the Plane Treated Synthetically
The University of Kansas (KU) is a public research university and the largestuniversity in the state of Kansas. Created by the staff of the KU libraries, KU ScholarWorks is the digital repository of the University. It contains scholarly workcreated by KU faculty and staff, as well as material from the University Archives. KUScholarWorks makes important research and historical items available to a wideraudience and helps assure their long-term preservation. The University of Kansas's KU ScholarWorks Pre-1923 Theses and Dissertationcollection was digitized by the Scholarly Communications program staff in the KULibraries' Center for Digital Scholarship. These theses and dissertations range from 1883 - 1921 and reflect topics from Engineering and History to Economics and Chemistry, including titles like A Study of Terpeneless Lemon Extracts, English Interest in the Abolition of the Slave Trade, and Aspects of the Gothic Romance.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Projective Groups of Perspective Collineations in the Plane Treated Synthetically
The University of Kansas (KU) is a public research university and the largestuniversity in the state of Kansas. Created by the staff of the KU libraries, KU ScholarWorks is the digital repository of the University. It contains scholarly workcreated by KU faculty and staff, as well as material from the University Archives. KUScholarWorks makes important research and historical items available to a wideraudience and helps assure their long-term preservation. The University of Kansas's KU ScholarWorks Pre-1923 Theses and Dissertationcollection was digitized by the Scholarly Communications program staff in the KULibraries' Center for Digital Scholarship. These theses and dissertations range from 1883 - 1921 and reflect topics from Engineering and History to Economics and Chemistry, including titles like A Study of Terpeneless Lemon Extracts, English Interest in the Abolition of the Slave Trade, and Aspects of the Gothic Romance.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Proposed Mathematical Model for Predicting Military Electronic Equipment Component Failure Rates and Isolating Underlying Failure Causes
A mathematical expression for combining the entire failure rate curve is derived based on the assumption that the failure population is composed of three subpopulations, early, chance, and wear out. A graphical method is provided for separating the subpopulations and determining the parameters of the model. The expression is then applied to observed failure data in three detailed examples and in each case the model is shown to represent the observed data at the.05 significance level using the Kolmogorov-Smirnov Test. Two BASIC language computer programs are provided to simplify the use of the proposed model.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Increasing Unit Effectiveness in a Dynamic Environment by Implementing a Leadership Mathematical Model
The Ukrainian Army is in a transition period which requires flexible, adaptive leadership with a contemporary vision. The problem of improving unit effectiveness is now very topical, because old leadership does not correspond to modern requirements and does not facilitate rapid development. The lack of understanding the need for a change in a dynamic environment makes a military unit ineffective. To explain the procedure of how to lead subordinates in a dynamic environment and give recommendations for commanders is valuable, because it will adapt the current leadership for modern requirements and make a military unit effective in any operational environment. The purpose of this research is to find an improved leadership model that will significantly increase unit effectiveness in a dynamic environment. This is a model that could be used as the foundation for a change in the leadership culture of the Ukrainian Army. The originality of this work will be its use of mathematical formulas to explain the key leadership methods/ideas proposed within the study.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Foundations of Arithmetic
The University of Kansas (KU) is a public research university and the largestuniversity in the state of Kansas. Created by the staff of the KU libraries, KU ScholarWorks is the digital repository of the University. It contains scholarly workcreated by KU faculty and staff, as well as material from the University Archives. KUScholarWorks makes important research and historical items available to a wideraudience and helps assure their long-term preservation. The University of Kansas's KU ScholarWorks Pre-1923 Theses and Dissertationcollection was digitized by the Scholarly Communications program staff in the KULibraries' Center for Digital Scholarship. These theses and dissertations range from 1883 - 1921 and reflect topics from Engineering and History to Economics and Chemistry, including titles like "A Study of Terpeneless Lemon Extracts, English Interest in the Abolition of the Slave Trade, and Aspects of the Gothic Romance."This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Collineations in Space of Four Dimensions
The University of Kansas (KU) is a public research university and the largestuniversity in the state of Kansas. Created by the staff of the KU libraries, KU ScholarWorks is the digital repository of the University. It contains scholarly workcreated by KU faculty and staff, as well as material from the University Archives. KUScholarWorks makes important research and historical items available to a wideraudience and helps assure their long-term preservation. The University of Kansas's KU ScholarWorks Pre-1923 Theses and Dissertationcollection was digitized by the Scholarly Communications program staff in the KULibraries' Center for Digital Scholarship. These theses and dissertations range from 1883 - 1921 and reflect topics from Engineering and History to Economics and Chemistry, including titles like "A Study of Terpeneless Lemon Extracts, English Interest in the Abolition of the Slave Trade, and Aspects of the Gothic Romance."This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Exercises in Algebra and Trigonometry
This book contains exercises that a student can complete to learn algebra and trigonometry. Though it is designed to serve as a companion to another book by the same author, namely Algebra and Trigonometry, the exercises herein are typical for the subjects and do not pertain exclusively to that particular text.
Chaotic Maps, Fractals, and Rapid Fluctuations
This book was developed from lecture notes for an introductory graduate course and provides an essential introduction to chaotic maps in finite-dimensional spaces. Furthermore, the authors show how to apply this theory to infinite-dimensional systems corresponding to partial differential equations to study chaotic vibration of the wave equation subject to various types of nonlinear boundary conditions. The book provides background on chaos as a highly interesting nonlinear phenomenon and explains why it is one of the most important scientific findings of the past three decades. In addition, the book covers key topics including one-dimensional dynamical systems, bifurcations, general topological, symbolic dynamical systems, and fractals. The authors also show a class of infinite-dimensional nonlinear dynamical systems, which are reducible to interval maps, plus rapid fluctuations of chaotic maps. This second edition includes updated and expanded chapters as well as additional problems.
Mathews' Matriculation Mathematics
"Mathews' Matriculation Mathematics" is a comprehensive collection of arithmetic and algebra examination papers from 1844 to 1878. This historical compilation offers a unique glimpse into the mathematical education and testing standards of the time. Compiled by E.H. Mathews, the book provides a valuable resource for students, educators, and historians interested in the evolution of mathematical curricula.Featuring a wide range of problems and exercises, this volume showcases the mathematical knowledge expected of students during the mid-19th century. With answers included, "Mathews' Matriculation Mathematics" serves as an important reference for understanding the development of mathematical education and assessment practices.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Practical Mathematics Part Iv
"Practical Mathematics Part IV: Trigonometry and Logarithms" offers a comprehensive exploration of these essential mathematical concepts. Designed for practical application, this book provides clear explanations and numerous examples to aid understanding. Beginning with the fundamentals of trigonometry, it progresses through trigonometric functions, identities, and their applications in solving real-world problems. The section on logarithms covers their properties, computations, and uses in various fields. This book is a valuable resource for students, engineers, and anyone seeking a solid foundation in trigonometry and logarithms.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Practical Solid Geometry
"Practical Solid Geometry" provides a comprehensive exploration of the principles and applications of solid geometry. Designed for students and instructors alike, this book offers a clear and accessible approach to understanding geometric concepts in three dimensions.Herbert Gilbert presents a systematic treatment of various topics, including the properties of lines, planes, polyhedra, and curved surfaces. With numerous examples and exercises, readers can develop their skills in visualizing and solving geometric problems. This book serves as an invaluable resource for anyone seeking a deeper understanding of spatial reasoning and its practical applications.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
![An Introduction To Arithmetic. [with] Key](https://cdn.kingstone.com.tw/english/images/product/6487/9781024686487m.webp?Q=9ba4c "An Introduction To Arithmetic. [with] Key")
An Introduction To Arithmetic. [with] Key
"An Introduction To Arithmetic," complete with its answer key, is a comprehensive mathematics textbook intended for students learning the fundamentals of arithmetic. Authored by John Newark, this educational resource offers a structured approach to understanding and mastering essential arithmetic concepts. The book is designed to provide a solid foundation in basic mathematical operations and problem-solving techniques. With its detailed explanations and a dedicated key for checking answers, this book supports independent learning and effective classroom instruction.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
On Twisted Quintic Curves
"On Twisted Quintic Curves" delves into the intricate world of algebraic geometry, focusing specifically on the properties and characteristics of twisted quintic curves. This work by Elmer Clifford Colpitts explores the mathematical structures underlying these complex curves, offering insights into their geometric and algebraic nature. Suitable for advanced students and researchers in mathematics, this book provides a rigorous examination of the subject matter. It contributes to a deeper understanding of quintic curves and their significance within the broader field of algebraic geometry.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Recent Trends in AI Enabled Technologies
This book constitutes the refereed proceedings of the Second International Conference on Recent Trends in AI Enabled Technologies, ThinkAI 2024, which took place in Hyderabad, India, during December 27-28, 2024. The 18 full papers in this book were carefully reviewed and selected from 75 submissions. These papers focus on topics of AI enabled technologies, including machine learning, soft computing, and deep learning algorithms.
Practical Solid Geometry
"Practical Solid Geometry" provides a comprehensive exploration of the principles and applications of solid geometry. Designed for students and instructors alike, this book offers a clear and accessible approach to understanding geometric concepts in three dimensions.Herbert Gilbert presents a systematic treatment of various topics, including the properties of lines, planes, polyhedra, and curved surfaces. With numerous examples and exercises, readers can develop their skills in visualizing and solving geometric problems. This book serves as an invaluable resource for anyone seeking a deeper understanding of spatial reasoning and its practical applications.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Practical Mathematics
"Practical Mathematics, Volume 3: Being The Essentials Of Arithmetic, Geometry, Algebra And Trigonometry" offers a comprehensive exploration of fundamental mathematical principles. This volume, authored by Claude Irwin Palmer, is designed to provide a solid foundation in essential mathematical concepts. Covering arithmetic, geometry, algebra, and trigonometry, the book aims to equip readers with practical mathematical skills. This book is a valuable resource for students, educators, and anyone seeking to enhance their understanding of mathematics. Palmer's approach emphasizes clarity and practicality, making complex topics accessible to a wide audience. Explore the core principles of mathematics with this meticulously crafted volume.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Observations On A Passage In Mr. Playfair's Letter To The Lord Provost Of Edinburgh Relative To The Mathematical Pretensions Of The Scottish Clergy
In "Observations On A Passage In Mr. Playfair's Letter To The Lord Provost Of Edinburgh Relative To The Mathematical Pretensions Of The Scottish Clergy," Thomas Chalmers offers a detailed response to criticisms regarding the mathematical abilities and education of the Scottish clergy. Chalmers, a prominent figure in Scottish religious and intellectual life, carefully examines and refutes the claims made by Mr. Playfair, providing insights into the standards of education and the intellectual pursuits of clergymen in Scotland during the period.This work sheds light on the intersection of religion, science, and education in early 19th-century Scotland, offering a valuable historical perspective on the intellectual climate of the time and the role of the clergy within it. It provides a nuanced view of the debates surrounding mathematical knowledge and its relevance to religious leadership.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
![An Introduction To Arithmetic. [with] Key](https://cdn.kingstone.com.tw/english/images/product/2083/9781024682083m.webp?Q=ebb1f "An Introduction To Arithmetic. [with] Key")
An Introduction To Arithmetic. [with] Key
"An Introduction To Arithmetic," complete with its answer key, is a comprehensive mathematics textbook intended for students learning the fundamentals of arithmetic. Authored by John Newark, this educational resource offers a structured approach to understanding and mastering essential arithmetic concepts. The book is designed to provide a solid foundation in basic mathematical operations and problem-solving techniques. With its detailed explanations and a dedicated key for checking answers, this book supports independent learning and effective classroom instruction.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
