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1Is The Number Line An Effective Tool To Improve Mathematical Skills? A Systematic Review And Meta-analysis

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This is the preregistration protocol for a systematic review and meta-analysis aimed at assessing the efficacy of number line training programs in improving mathematical skills. This protocol is based on the form developed by den Akker et al. (2020).

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2Problems In Mathematical Analysis Demidovich

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Problems in Mathematical Analysis Demidovich

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3A First Course In Mathematical Analysis

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186 p. : 22 cm

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4Skewness, Diversification, And Portfolio Performance : A Mathematical Analysis

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Bibliography: p. 13-15

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5On Systems Analysis : An Essay Concerning The Limitations Of Some Mathematical Methods In The Social, Political, And Biological Sciences

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Bibliography: p. 13-15

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6(1) Pendlebury's New Concrete Arithmetic (2) A First Course In Mathematics For Technical Students (3) A Course Of Geometry Theoretical And Practical: A Class-book For Secondary And Technical Schools (4) A Treatise On Dynamics (5) Examples And Test Papers In Algebra (6) Elementary Mathematical Analysis: A Textbook For First Year College Students (7) Stability And Equilibrium Of Floating Bodies

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“(1) Pendlebury's New Concrete Arithmetic (2) A First Course In Mathematics For Technical Students (3) A Course Of Geometry Theoretical And Practical: A Class-book For Secondary And Technical Schools (4) A Treatise On Dynamics (5) Examples And Test Papers In Algebra (6) Elementary Mathematical Analysis: A Textbook For First Year College Students (7) Stability And Equilibrium Of Floating Bodies” Metadata:

  • Title: ➤  (1) Pendlebury's New Concrete Arithmetic (2) A First Course In Mathematics For Technical Students (3) A Course Of Geometry Theoretical And Practical: A Class-book For Secondary And Technical Schools (4) A Treatise On Dynamics (5) Examples And Test Papers In Algebra (6) Elementary Mathematical Analysis: A Textbook For First Year College Students (7) Stability And Equilibrium Of Floating Bodies
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7Mathematical Analysis Of The Problems Faced By The People With Disabilities (PWDs)

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The authors in this book have analyzed the socio-economic and psychological problems faced by People with Disabilities (PWDs) and their families. The study was made by collecting data using both fuzzy linguistic questionnaire / by interviews in case they are not literates from 2,15,811 lakhs people. This data was collected using the five Non Government Organizations (NGOs) from northern Tamil Nadu.

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8DTIC ADA244478: Mathematical Analysis Of Transient Reactive Gasdynamics Phenomena

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Mathematical modelling and analysis are described for studies of the dynamical response of gaseous and solid materials (inert or reactive) to localized rapid power deposition. Theoretical, analytical and numerical methods are developed to find general properties of nonlinear equation systems and explicit solutions for specific initial-boundary value problems. Emphasis is placed on physical interpretation of mathematical results for the transient evolution of spatially distributed thermal and gasdynamic responses. New results are given for thermal explosion processes, for transient development of shocks and detonations, for the role of nonlinear acoustics in gascompression and for thermoacoustically induced mass transfer.

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9DTIC ADA041298: A Gearless Safe And Arming Device For Artillery Firing (Program Summary And Mathematical Analysis)

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The evaluation of a Gearless Mechanical Safe and Arming Device for Artillery projectiles is described along with design philosophy and analytical models utilized. This device is a large run-away escapement wherein essential mechanical parameters have been adjusted to achieve a relatively low oscillation frequency. The manner in which a serious structural integrity problem was resolved is detailed presenting an analytical basis for miniaturization and weight reduction of devices containing runaway escapements. Ballistic and Rough Handling test results from all phases of this project are included.

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10DTIC ADA299185: New Capabilities For Strategic Mobility Analysis Using Mathematical Programming.

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The evaluation of a Gearless Mechanical Safe and Arming Device for Artillery projectiles is described along with design philosophy and analytical models utilized. This device is a large run-away escapement wherein essential mechanical parameters have been adjusted to achieve a relatively low oscillation frequency. The manner in which a serious structural integrity problem was resolved is detailed presenting an analytical basis for miniaturization and weight reduction of devices containing runaway escapements. Ballistic and Rough Handling test results from all phases of this project are included.

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11Mathematical Analysis

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The evaluation of a Gearless Mechanical Safe and Arming Device for Artillery projectiles is described along with design philosophy and analytical models utilized. This device is a large run-away escapement wherein essential mechanical parameters have been adjusted to achieve a relatively low oscillation frequency. The manner in which a serious structural integrity problem was resolved is detailed presenting an analytical basis for miniaturization and weight reduction of devices containing runaway escapements. Ballistic and Rough Handling test results from all phases of this project are included.

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12Mathematical Analysis Higher Course

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The evaluation of a Gearless Mechanical Safe and Arming Device for Artillery projectiles is described along with design philosophy and analytical models utilized. This device is a large run-away escapement wherein essential mechanical parameters have been adjusted to achieve a relatively low oscillation frequency. The manner in which a serious structural integrity problem was resolved is detailed presenting an analytical basis for miniaturization and weight reduction of devices containing runaway escapements. Ballistic and Rough Handling test results from all phases of this project are included.

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13Mathematical Analysis For Economics

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The evaluation of a Gearless Mechanical Safe and Arming Device for Artillery projectiles is described along with design philosophy and analytical models utilized. This device is a large run-away escapement wherein essential mechanical parameters have been adjusted to achieve a relatively low oscillation frequency. The manner in which a serious structural integrity problem was resolved is detailed presenting an analytical basis for miniaturization and weight reduction of devices containing runaway escapements. Ballistic and Rough Handling test results from all phases of this project are included.

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14Mathematical Analysis And Proof

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The evaluation of a Gearless Mechanical Safe and Arming Device for Artillery projectiles is described along with design philosophy and analytical models utilized. This device is a large run-away escapement wherein essential mechanical parameters have been adjusted to achieve a relatively low oscillation frequency. The manner in which a serious structural integrity problem was resolved is detailed presenting an analytical basis for miniaturization and weight reduction of devices containing runaway escapements. Ballistic and Rough Handling test results from all phases of this project are included.

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15A Mathematical Analysis Of Tactics In A Riverine Ambush.

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The evaluation of a Gearless Mechanical Safe and Arming Device for Artillery projectiles is described along with design philosophy and analytical models utilized. This device is a large run-away escapement wherein essential mechanical parameters have been adjusted to achieve a relatively low oscillation frequency. The manner in which a serious structural integrity problem was resolved is detailed presenting an analytical basis for miniaturization and weight reduction of devices containing runaway escapements. Ballistic and Rough Handling test results from all phases of this project are included.

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16A Mathematical Analysis Of Tactics In A Riverine Ambush.

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ADA749062

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17Mathematical Dictionary And Cyclopedia Of Mathematical Science, Comprising Definitions Of All The Terms Employed In Mathematics - An Analysis Of Each Branch, And Of The Whole, As Forming A Single Science

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18Mathematical And Statistical Methods For Genetic Analysis

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19Mathematical Analysis A Special Course By G. Ye. Shilov

THE book was written as a textbook for University Faculties of Mathematics, in a special course of Mathematical analysis . Problems in the theory of functions of a real variable, the calculus of variations and integral equations are treated here from the single viewpoint of the theory of linear spaces. The reader requires a grasp of a general course of mathematical analysis as covered in a degree course.  THIS book has been written as a textbook for a special course of mathematical analysis (in brief, “ Analysis III ”). “ Analysis III ” is delivered as the third course of the mechanics—mathematics faculty of the Moscow State University, and dates from 1949; the introduction of such a course was initiated by academician A. N. Kolmogorov, who was the first lecturer. “ AnalysisIII” is based on material from earlier separate courses on the theory of functions of a real variable, the calculus of variations and integral equations, and treats all this material from a single viewpoint which has its source in the theory of linear spaces.   The layout of the book is according to the following scheme. The first chapter gives a straightforward minimal account of set theory. The second chapter contains elements of the theory of metric and normed linear spaces. In the third chapter the calculus of variations is developed; it is presented here as a theory of differentiable functionals in normed linear spaces. The fourth chapter is devoted to the theory of the Lebesgue integral; the scheme given by F. Riesz is thought to be a better starting-point for the account than that of Lebesgue, inasmuch as it is more economical and leads more rapidly to the heart of the subject. The fifth chapter, “The Geometry of Hilbert Space” contains the theory of orthogonal resolutions and a geometrical treatment of integral equations. In the sixth chapter the relation between integration and differentiation is explained and the Stieltjes integral is constructed. In the seventh and last chapter an account is given of the theory of the Fourier Transform; we depart from tradition here in including some material, which, in View of its special importance in mathematical physics, should long ago have had a place in a course of mathematical analysis. To facilitate modifications in a course of lectures, the material of the last three chapters is widely diversified.  The logical dependence between chapters is given schematically  as follows:                                                 Sets                                             Metric spaces                      Lebesgue integral                        Calculus of variations                      Hilbert space                     Integration and differentiation                                          Fourier transform   It must be observed that the general viewpoint of functional analysis developed in this course does not constitute an end in itself, but only a means; the chief aim is an introduction to the field of classical mathematical analysis. For the sake of brevity we limit ourselves within each theme to a discussion of only the most important questions, fully recognising that the reader may well be dissatisfied in some instances. The choice of material generally, and in particular for the last chapters, presented the author with great difficulties. Some interesting but somewhat digressional questions have been set as problems; they can be used as material for seminars.   The reader needs to be acquainted with a general course of mathematical analysis, such as “ A short course” by A. Ya. Klinchin for example. The book can then be used for an independent study of the subject. Towards the end of the book the elementary properties of analytic functions are also assumed to be familiar. The author is particularly grateful to M.G. Krain, O.A. Olyanik, and D.A. Rykov, who have read through the manuscript and with their criticisms have contributed greatly to its improvement. In the second edition the text has been revised, supplemented, and improved in places. Some new problems have also been added. The author is indebted to his many correspondents in Leningrad, Kazan, Baku, and other cities of the U.S.S.R. for their valuable criticisms of the first edition. 

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20Mathematical Analysis : An Introduction

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THE book was written as a textbook for University Faculties of Mathematics, in a special course of Mathematical analysis . Problems in the theory of functions of a real variable, the calculus of variations and integral equations are treated here from the single viewpoint of the theory of linear spaces. The reader requires a grasp of a general course of mathematical analysis as covered in a degree course.  THIS book has been written as a textbook for a special course of mathematical analysis (in brief, “ Analysis III ”). “ Analysis III ” is delivered as the third course of the mechanics—mathematics faculty of the Moscow State University, and dates from 1949; the introduction of such a course was initiated by academician A. N. Kolmogorov, who was the first lecturer. “ AnalysisIII” is based on material from earlier separate courses on the theory of functions of a real variable, the calculus of variations and integral equations, and treats all this material from a single viewpoint which has its source in the theory of linear spaces.   The layout of the book is according to the following scheme. The first chapter gives a straightforward minimal account of set theory. The second chapter contains elements of the theory of metric and normed linear spaces. In the third chapter the calculus of variations is developed; it is presented here as a theory of differentiable functionals in normed linear spaces. The fourth chapter is devoted to the theory of the Lebesgue integral; the scheme given by F. Riesz is thought to be a better starting-point for the account than that of Lebesgue, inasmuch as it is more economical and leads more rapidly to the heart of the subject. The fifth chapter, “The Geometry of Hilbert Space” contains the theory of orthogonal resolutions and a geometrical treatment of integral equations. In the sixth chapter the relation between integration and differentiation is explained and the Stieltjes integral is constructed. In the seventh and last chapter an account is given of the theory of the Fourier Transform; we depart from tradition here in including some material, which, in View of its special importance in mathematical physics, should long ago have had a place in a course of mathematical analysis. To facilitate modifications in a course of lectures, the material of the last three chapters is widely diversified.  The logical dependence between chapters is given schematically  as follows:                                                 Sets                                             Metric spaces                      Lebesgue integral                        Calculus of variations                      Hilbert space                     Integration and differentiation                                          Fourier transform   It must be observed that the general viewpoint of functional analysis developed in this course does not constitute an end in itself, but only a means; the chief aim is an introduction to the field of classical mathematical analysis. For the sake of brevity we limit ourselves within each theme to a discussion of only the most important questions, fully recognising that the reader may well be dissatisfied in some instances. The choice of material generally, and in particular for the last chapters, presented the author with great difficulties. Some interesting but somewhat digressional questions have been set as problems; they can be used as material for seminars.   The reader needs to be acquainted with a general course of mathematical analysis, such as “ A short course” by A. Ya. Klinchin for example. The book can then be used for an independent study of the subject. Towards the end of the book the elementary properties of analytic functions are also assumed to be familiar. The author is particularly grateful to M.G. Krain, O.A. Olyanik, and D.A. Rykov, who have read through the manuscript and with their criticisms have contributed greatly to its improvement. In the second edition the text has been revised, supplemented, and improved in places. Some new problems have also been added. The author is indebted to his many correspondents in Leningrad, Kazan, Baku, and other cities of the U.S.S.R. for their valuable criticisms of the first edition. 

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21Mathematical Analysis For Economists

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"A short bibliography": p. [xiv]-xv

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22N. L. Kudryavtsev Lectures On Mathematical Analysis. Part II

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The textbook includes the following sections of mathematical analysis: functional sequences and series; parameter-dependent integrals, including improper integrals; multiple Riemann integral; curved and surface integrals; elements of harmonic analysis. The manual is written on the basis of lectures given by the author for more than twenty years at the Faculty of Geology of Lomonosov Moscow State University to students studying in the field of geophysics. It is intended for students of natural sciences faculties of universities, as well as for training specialists in areas requiring advanced training in higher mathematics.

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23A Course Of Mathematical Analysis Vol 2

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A textbook for university students (physicists and mathematicians) with special supplementary material on mathematical physics. Based on the course read by the author at the Moscow Engineering Physics Institute. Volume 2 contains multiple integrals, field theory. Fourier series and Fourier integral, differential manifolds and differential forms, and the Lebesgue integral.

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24Principles Of Mathematical Analysis - Walter Rudin

Principles of Mathematical Analysis - Walter Rudin I have no monetary benefit from this work and it is intended for non-commercial uses only

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25Problems In Mathematical Analysis

Principles of Mathematical Analysis - Walter Rudin I have no monetary benefit from this work and it is intended for non-commercial uses only

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26Mathematical Modeling And Stability Analysis Of Macrophage Activation In Left Ventricular Remodeling Post-myocardial Infarction.

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This article is from BMC Genomics , volume 13 . Abstract Background: About 6 million Americans suffer from heart failure and 70% of heart failure cases are caused by myocardial infarction (MI). Following myocardial infarction, increased cytokines induce two major types of macrophages: classically activated macrophages which contribute to extracellular matrix destruction and alternatively activated macrophages which contribute to extracellular matrix construction. Though experimental results have shown the transitions between these two types of macrophages, little is known about the dynamic progression of macrophages activation. Therefore, the objective of this study is to analyze macrophage activation patterns post-MI. Results: We have collected experimental data from adult C57 mice and built a framework to represent the regulatory relationships among cytokines and macrophages. A set of differential equations were established to characterize the regulatory relationships for macrophage activation in the left ventricle post-MI based on the physical chemistry laws. We further validated the mathematical model by comparing our computational results with experimental results reported in the literature. By applying Lyaponuv stability analysis, the established mathematical model demonstrated global stability in homeostasis situation and bounded response to myocardial infarction. Conclusions: We have established and validated a mathematical model for macrophage activation post-MI. The stability analysis provided a possible strategy to intervene the balance of classically and alternatively activated macrophages in this study. The results will lay a strong foundation to understand the mechanisms of left ventricular remodelling post-MI.

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27Practical Mathematical Analysis. With Examples By The Translator, H. Levy

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28Mathematical Analysis: Business And Economic Applications

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29Mathematical Methods In Signal Processing And Digital Image Analysis

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30University Of Strathclyde Seminars In Applied Mathematical Analysis : Vibration Theory

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31Mathematical Analysis Of The Intensity Distribution Of Optical Images For Various Degrees Of Coherence Of Illumination /Representation Of Intensity By Hermitian Matrices

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Intensity distribution of optical images for various degrees of illumination using Hermitian matrices

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32Mathematical Reasoning Through Verbal Analysis. Book 2. Teacher's Manual

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ix, 183 pages : 28 cm

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33Eight Lectures On Mathematical Analysis

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 Eight Lectures on Mathematical Analysis isatranslation and adaptation of a book by the outstanding Russian mathe­ matician A. Ya. Khinchin. It is based on a series of lectures delivered at the University of Moscow by Professor Khinchin to improve the mathematical qualifications of engineers. In this book, the reader will find a masterful outline of the fundamental ideas of mathematical analysis. Inessential de­ tails have purposely been omitted, and the resulting exposition is clear and easy to follow. The book should be accessible to anyone who has had even a sketchy introduction to the mate­ rial. And yet, because it is a concise, lucid exposition of the most important concepts of mathematical analysis, the book should be of value to the student enrolled in a university course in analysis. A. YA. KHINCHIN, until his death in 1959, was a professor at Moscow State University, a corresponding member of the Academy of Sciences, and a member of the Academy of Peda­ gogical Sciences of the RSFSR. The author of more than one hundred fifty mathematical research papers and books, he will be remembered as a world-renowned authority in mathemati­ cal analysis, probability theory, number theory, and mathe­ matical statistics.

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34Mathematical Analysis Of Algorithms Within MANA

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MANA (Map Aware, Non-uniform, Automata) is an agent-based, time-stepped, stochastic mission-level modeling environment developed by the New Zealand Defense Technology Agency (DTA). While the MANA user manual goes into detail about setting up a scenario and navigating the user interface, it does not discuss some of the underlying mathematical procedures and algorithms resulting in many individuals utilizing MANA to analyze military operations without necessarily understanding how the results are achieved. The purpose of this thesis is to explore the mathematical formulas that MANA utilizes in an effort to aid in creating a more informed understanding of results reached by MANA. This work is intended as a supplement to the current MANA user manual. We will investigate how manipulating the parameters of the squads’ influence behavior on the battlefield. The format will follow a militarily oriented thought process of shoot, move and communicate, investigating mathematically how results are reached within the model. At the conclusion, there will be recommendations as to follow-up work.

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35Introductory Mathematical Analysis : For Business, Economics, And The Life And Social Sciences

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MANA (Map Aware, Non-uniform, Automata) is an agent-based, time-stepped, stochastic mission-level modeling environment developed by the New Zealand Defense Technology Agency (DTA). While the MANA user manual goes into detail about setting up a scenario and navigating the user interface, it does not discuss some of the underlying mathematical procedures and algorithms resulting in many individuals utilizing MANA to analyze military operations without necessarily understanding how the results are achieved. The purpose of this thesis is to explore the mathematical formulas that MANA utilizes in an effort to aid in creating a more informed understanding of results reached by MANA. This work is intended as a supplement to the current MANA user manual. We will investigate how manipulating the parameters of the squads’ influence behavior on the battlefield. The format will follow a militarily oriented thought process of shoot, move and communicate, investigating mathematically how results are reached within the model. At the conclusion, there will be recommendations as to follow-up work.

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36Introductory Mathematical Analysis For Business, Economics, And The Life And Social Sciences : Instructor's Solutions Manual

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v, 558 pages : 23 cm

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37The Mathematical Analysis Of Electrical And Optical Wave-motion On The Basis Of Maxwell's Equations

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v, 558 pages : 23 cm

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38The Mathematical Analysis Of Electrical And Optical Wave-motion

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v, 558 pages : 23 cm

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39Mathematical Analysis

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264 p. 23 cm

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40Mathematical Foundations Of Systems Analysis

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v. 24 cm

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41Mathematical Modeling And System Analysis Of Cattle Feedlot Runoff

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42Mathematical Analysis Of Some Non Linear

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Book Source: Digital Library of India Item 2015.196680 dc.contributor.author: C.b. Becter dc.date.accessioned: 2015-07-08T09:17:23Z dc.date.available: 2015-07-08T09:17:23Z dc.date.digitalpublicationdate: 0000-00-00 dc.identifier.barcode: 5990010096613 dc.identifier.origpath: /rawdataupload/upload/0096/613 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/196680 dc.description.scannerno: 11 dc.description.scanningcentre: IIIT, Allahabad dc.description.main: 1 dc.description.tagged: 0 dc.description.totalpages: 224 dc.format.mimetype: application/pdf dc.language.iso: English dc.publisher: Bishwaabhaarti Prakaashan Naagpur dc.rights: Out_of_copyright dc.source.library: I I T Kanpur dc.subject.classification: Technology dc.subject.classification: Engineering. Technology In General dc.subject.classification: Mathemeatics dc.title: Mathematical Analysis Of Some Non Linear

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43A Meta-analysis On The Relationship Between Developmental Reading Disorders And Mathematical Academic Achievement In Primary School Students

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I have found that there is a wealth of research on the relationship between developmental reading disorders and mathematical academic achievement, but the conclusions of these studies are inconsistent. This has sparked my great interest. What is the exact nature of the relationship between the two? I have decided to introduce the meta-analysis research method to analyze the relationship between them.

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44Techniques Of Mathematical Analysis

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I have found that there is a wealth of research on the relationship between developmental reading disorders and mathematical academic achievement, but the conclusions of these studies are inconsistent. This has sparked my great interest. What is the exact nature of the relationship between the two? I have decided to introduce the meta-analysis research method to analyze the relationship between them.

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45A Mathematical Model And Analysis Of COVID-19 Transmission Dynamics With A Case Study Of Nigeria And Its Computer Simulation

In this article, we formulated a mathematical model for the spread of the  COVID-19 disease and we  introduced  quarantined  and  isolated compartments. The next generation matrix method was adopted to compute the basic reproduction number  in order to assess the transmission dynamics of the COVID-19 deadly disease. Stability analysis of the disease free equilibrium is investigated based on the basic reproduction number and the result shows that it is locally and asymptotically stable for  less than 1. Numerical calculation of the basic reproduction number revealed that  which means that the disease can be eradicated from Nigeria. The study shows that isolation, quarantine and other government policies like social distancing and lockdown are the best approaches to control the pernicious nature of  COVID-19 pandemic.

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46Perspectives Of Complex Analysis, Differential Geometry, And Mathematical Physics : Proceedings Of The 5th International Workshop On Complex Structures And Vector Fields : St. Konstantin, Bulgaria, 3-9 September 2000

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In this article, we formulated a mathematical model for the spread of the  COVID-19 disease and we  introduced  quarantined  and  isolated compartments. The next generation matrix method was adopted to compute the basic reproduction number  in order to assess the transmission dynamics of the COVID-19 deadly disease. Stability analysis of the disease free equilibrium is investigated based on the basic reproduction number and the result shows that it is locally and asymptotically stable for  less than 1. Numerical calculation of the basic reproduction number revealed that  which means that the disease can be eradicated from Nigeria. The study shows that isolation, quarantine and other government policies like social distancing and lockdown are the best approaches to control the pernicious nature of  COVID-19 pandemic.

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47(1) An Introduction To Projective Geometry (2) Elementary Analysis (3) The School Algebra (Matriculation Edition) (4) A First Book In Algebra (5) A Second Book In Algebra (6) Plane And Solid Geometry (7) Plane Geometry: Practical And Theoretical, Pari Passu (8) Plane Geometry For Schools (9) Wightman's Secondary School Mathematical Tables

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48Qualitative Methods In Mathematical Analysis

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49Advanced Mathematical Analysis; Periodic Functions And Distributions, Complex Analysis, Laplace Transform And Applications

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50Some Mathematical Aspects Of Probit Analysis

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Source: The Open Library

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1Mathematical analysis

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  • Number of Pages: Median: 690
  • Publisher: Harper & Row
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  • First Year Published: 1967
  • Is Full Text Available: Yes
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  • Access Status: Borrowable

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1Dreizehnlinden

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Friedrich Wilhelm Weber beschreibt in diesem Epos den Endkampf zwischen den christlichen Franken und heidnischen Sachsen zu Anfang des 9. Jahrhunderts. Er verknüpft geschickt historische Figuren in einer fiktiven Geschichte. Hauptfigur ist der Sachse Elmar der die fränkische Hildegunde liebt. Die Hauptbotschaft, die Weber mit seinem Epos vermitteln möchte, ist die der Überwindung von Zwietracht und Gewalt durch Toleranz und Nächtsenliebe. Eine Botschaft, die auch heute noch bedeutsam ist. Das Epos besteht aus 25 Gesängen. - Summary by lorda

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  • Number of Sections: 25
  • Total Time: 06:18:47

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2History of Philosophy

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Philosophy is the search for a comprehensive view of nature, an attempt at a universal explanation of things. It is both the summary of the sciences and their completion; both general science and a specialty distinguished from science proper; and, like its elder sisters, religion and poetry, forms a separate branch among the manifestations of the human mind. The different sciences have special groups of facts for their subject-matter, and seek to discover the causes of these phenomena, or to formulate the laws according to which they are produced. In philosophy, on the other hand, the human mind endeavors to rise beyond such groups and their particular laws, and to explain the wrorld as a whole, or the universal fact or phenomenon , by the cause of the causes, or the first cause. In other words, it attempts to answer the question, Why does this world exist, and how does it happen to be what it is? (Summary by Introduction)

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