Rays, Waves, and Scattering

2017 ◽  
Author(s):  
John A. Adam
Keyword(s):  
Graduate Students ◽  
Seismic Waves ◽  
Applied Mathematics ◽  
Ocean Waves ◽  
Theoretical Physics ◽  
Mathematical Concepts ◽  
Light Waves ◽  
Technical Material ◽  
The Subject ◽  
Ptolemy’S Theorem

This book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. It includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the earth's interior, how atmospheric waves are scattered by mountains and ridges, how the scattering of light waves produces the blue sky, and meteorological phenomena such as rainbows and coronas. This book is a valuable resource for practitioners, graduate students, and advanced undergraduates in applied mathematics, theoretical physics, and engineering. Bridging the gap between advanced treatments of the subject written for specialists and less mathematical books aimed at beginners, this unique mathematical compendium features problems and exercises throughout that are geared to various levels of sophistication, covering everything from Ptolemy's theorem to Airy integrals (as well as more technical material), and several informative appendixes.

scholarly journals GEORGE KEITH BATCHELOR 8 March 1920–30 March 2000 Founding Editor, Journal of Fluid Mechanics, 1956

2000 ◽  
Vol 421 ◽  
pp. 1-14 ◽  
Author(s):  
HERBERT E. HUPPERT
Keyword(s):  
Fluid Mechanics ◽  
International Organizations ◽  
Solid Mechanics ◽  
Applied Mathematics ◽  
Fluid Flows ◽  
Theoretical Physics ◽  
Founding Editor ◽  
Number Of Factors ◽  
Quantitative Understanding ◽  
The Subject

George Batchelor was one of the giants of fluid mechanics in the second half of the twentieth century. He had a passion for physical and quantitative understanding of fluid flows and a single-minded determination that fluid mechanics should be pursued as a subject in its own right. He once wrote that he ‘spent a lifetime happily within its boundaries’. Six feet tall, thin and youthful in appearance, George's unchanging attire and demeanour contrasted with his ever-evolving scientific insights and contributions. His strongly held and carefully articulated opinions, coupled with his forthright objectivity, shone through everything he undertook.George's pervasive influence sprang from a number of factors. First, he conducted imaginative, ground-breaking research, which was always based on clear physical thinking. Second, he founded a school of fluid mechanics, inspired by his mentor G. I. Taylor, that became part of the world renowned Department of Applied Mathematics and Theoretical Physics (DAMTP) of which he was the Head from its inception in 1959 until he retired from his Professorship in 1983. Third, he established this Journal in 1956 and actively oversaw all its activities for more than forty years, until he relinquished his editorship at the end of 1998. Fourth, he wrote the monumental textbook An Introduction to Fluid Dynamics, which first appeared in 1967, has been translated into four languages and has been relaunched this year, the year of his death. This book, which describes the fundamentals of the subject and discusses many applications, has been closely studied and frequently cited by generations of students and research workers. It has already sold over 45 000 copies. And fifth, but not finally, he helped initiate a number of international organizations (often European), such as the European Mechanics Committee (now Society) and the biennial Polish Fluid Mechanics Meetings, and contributed extensively to the running of IUTAM, the International Union of Theoretical and Applied Mechanics. The aim of all of these associations is to foster fluid (and to some extent solid) mechanics and to encourage the development of the subject.

Mathematical foundations

2019 ◽  
pp. 1-40
Author(s):  
Max A. Little
Keyword(s):  
Mathematical Modeling ◽  
Machine Learning ◽  
Signal Processing ◽  
Mathematical Models ◽  
Applied Mathematics ◽  
Statistical Machine Learning ◽  
Mathematical Concepts ◽  
The Subject ◽  
Mathematical Foundations

Statistical machine learning and signal processing are topics in applied mathematics, which are based upon many abstract mathematical concepts. Defining these concepts clearly is the most important first step in this book. The purpose of this chapter is to introduce these foundational mathematical concepts. It also justifies the statement that much of the art of statistical machine learning as applied to signal processing, lies in the choice of convenient mathematical models that happen to be useful in practice. Convenient in this context means that the algebraic consequences of the choice of mathematical modeling assumptions are in some sense manageable. The seeds of this manageability are the elementary mathematical concepts upon which the subject is built.

scholarly journals George Keith Batchelor. 8 March 1920 – 30 March 2000

2002 ◽  
Vol 48 ◽  
pp. 25-41 ◽  
Author(s):  
H.K. Moffatt
Keyword(s):  
Fluid Dynamics ◽  
Fluid Mechanics ◽  
European Society ◽  
Solid Mechanics ◽  
Trinity College ◽  
Applied Mathematics ◽  
Great Influence ◽  
Theoretical Physics ◽  
The Subject ◽  
Suspension Mechanics

George Batchelor was a pioneering figure in two branches of fluid dynamics: turbulence, in which he became a world leader over the 15 years from 1945 to 1960; and suspension mechanics (or ‘microhydrodynamics’), which developed under his initial impetus and continuing guidance throughout the 1970s and 1980s. He also exerted great influence in establishing a universally admired standard of publication in fluid dynamics through his role as founder Editor of the Journal of Fluid Mechanics , the leading journal of the subject, which he edited continuously over four decades. His famous textbook, An introduction to fluid dynamics , first published in 1967, showed the hand of a great master of the subject. Together with D. Küchemann, F.R.S., he established in 1964 the European Mechanics Committee (forerunner of the present European Society for Mechanics), which over the 24-year period of his chairmanship supervised the organization of no fewer than 230 European Mechanics Colloquia spanning the whole field of fluid and solid mechanics; while within Cambridge, where he was a Fellow of Trinity College and successively Lecturer, Reader and Professor of Applied Mathematics, he was an extraordinarily effective Head of the Department of Applied Mathematics and Theoretical Physics from its foundation in 1959 until his retirement in 1983.

A survey of the origins and physical importance of soliton equations

1985 ◽  
Vol 315 (1533) ◽  
pp. 335-365 ◽  
Keyword(s):  
Significant Role ◽  
Integrable Systems ◽  
Applied Mathematics ◽  
Theoretical Physics ◽  
Completely Integrable Systems ◽  
Soliton Equations ◽  
Completely Integrable ◽  
Physical Importance ◽  
The Subject

An introduction to the subject is given in an elementary way for the non-specialist, outlining why many completely integrable systems, although special, play a significant role in wave motions in applied mathematics and theoretical physics.

PENINGKATAN KEMAMPUAN PEMAHAMAN KONSEP MATEMATIKA SISWA DENGAN PENERAPAN MEDIA KARTU PERMAINAN BILANGAN DI SDIT DELI INSANI TANJUNG MORAWA

2019 ◽  
Vol 8 (2) ◽  
Author(s):  
Dwi Novita Sari ◽  
Putri Juwita
Keyword(s):  
Elementary School Students ◽  
Fifth Grade ◽  
School Students ◽  
Mathematical Concepts ◽  
Class V ◽  
Fifth Grade Students ◽  
Learning Mathematics ◽  
Comprehension Ability ◽  
The Subject ◽  
Number Game

This study aims to improve the results of learning mathematics of elementary school students SDIT Deli Insani of class V on the subject matter of fractions by using number playing card media. The from of this study is classroom action research conducted in 2 cycles, using number playing cards at SDIT Deli Insani in class V Tanjung Morawa. The subjects of this study were the fifth grade students of SDIT Deli Insani, amounting to 30 students. This action was carried out in April 2018. Methods of collecting data using observation and documentation. The data analysis used is quantitative and qualitative analysis. The results of the study showed an increase in students' ability to understand concepts from the first cycle and second cycle. Percentage of increase in pre-action results, cycle I and cycle II students' concept comprehension ability that is 13.04% for indicators identifying number forms using number game cards (dominoes) and indicators solving problems in fractional form operations using dominoes 27.26%. the success indicator in cycle II reaches 80%. Thus the application of number game cards can improve students' understanding of mathematical concepts at SDIT Deli Insani in Class V.

Confidants

2017 ◽  
Author(s):  
Mario Luis Small
Keyword(s):  
Graduate Students ◽  
Weak Ties ◽  
Historical Overview ◽  
Strong Ties ◽  
The Subject

This chapter reviews the literature that probed people’s decisions about whom to turn to when they need a confidant and discusses reasons for considering an alternative. It first provides a historical overview of research on the subject before analyzing how the claim that people will turn to those they are close to when they have important matters to discuss is linked to the ideas about the differences between strong and weak ties. It also cites three reasons to doubt the notion that people will turn to strong ties when seeking confidants as consistently as they say they do. The chapter concludes by explaining the rationale for studying the experiences of graduate students who were forced to make decisions about whom to talk to when they needed someone to talk to.

scholarly journals Evidence for Open Field Lines from Active Regions: Short Communication

1980 ◽  
Vol 91 ◽  
pp. 261-261
Author(s):  
K. V. Sheridan
Keyword(s):  
Open Field ◽  
Subject Matter ◽  
Short Communication ◽  
Active Regions ◽  
Theoretical Physics ◽  
University Of Colorado ◽  
Solar Active Regions ◽  
The Subject ◽  
Field Lines ◽  
Sydney Australia

A paper that has considerable relevance of the subject matter of this symposium is the following: “Evidence for Extreme Divergence of Open Field Lines from Solar Active Regions,” by G. A. Dulk (Division of Radiophysics, CSIRO, Sydney, Australia and Department of Astro-Geophysics, University of Colorado, Boulder, Colorado), D. B. Melrose (Department of Theoretical Physics, University of Sydney, Australia) and S. Suzuki (Division of Radiophysics, CSIRO, Sydney, Australia).

scholarly journals Pemahaman Konsep Matematis Siswa Kelas VIII pada Materi Lingkaran

2019 ◽  
Vol 8 (2) ◽  
pp. 297-306
Author(s):  
Attin Warmi
Keyword(s):  
Data Collection ◽  
Daily Life ◽  
Concept Analysis ◽  
Research Subject ◽  
Mathematical Concepts ◽  
Average Value ◽  
Case Research ◽  
Class Viii ◽  
The Subject ◽  
Descriptive Method

AbstrakBanyak siswa yang kesulitan dalam memahami konsep matematika. Tujuan dari penelitian ini untuk mengetahui kemampuan pemahaman konsep siswa dalam menyelesaikan soal-soal pada pokok bahasan Lingkaran. Metode yang digunakan dalam penelitian ini  adalah metode deskriptif dengan penelitian kasus. Materi tentang Lingkaran merupakan materi yang terdapat di SMP kelas VIII pada semester genap dan materi ini merupakan salah satu materi yang berhubungan dengan kehidupan sehari hari. Kelas VIII F SMPN 3 Karawang Barat dipilih sebagai subjek penelitian. Pengumpulan data dilakukan dengan pemberian tes tertulis kemampuan pemahaman konsep. Soal berbentuk uraian yang sebelum digunakan sudah di uji validasi. Hasil penelitian ini menunjukan rata-rata nilai kemampuan pemahaman konsep matematis siswa adalah 10,06 termasuk dalam kriteria sedang.  Hasil analisis konsep per indikator, diketahui siswa sangat kurang pada indikator menerapkan hubungan antar konsep dan prosedur, kemudian dalam menerapkan konsep secara algoritma. Masih terdapat banyak siswa yang memiliki pemahaman konsep yang kurang.  Understanding of Mathematical Concepts Class VIII Students in Circle MaterialsAbstractMany students have difficulty understanding mathematical concepts. The purpose of this study is to determine the ability to understand students' concepts in solving questions on the subject of the Circle. The method used in this research is descriptive method with case research. The material about Circles is the material found in class VIII SMP in the even semester and this material is one of the materials related to daily life. Class VIII F of SMP 3 Karawang Barat was chosen as the research subject. Data collection is done by giving written tests the ability to understand concepts. Questions in the form of descriptions that have been validated before being used. The results of this study show the average value of the ability to understand students' mathematical concepts is 10.06 which is included in the criteria of being. The results of concept analysis per indicator, it is known that students are very lacking in indicators applying relationships between concepts and procedures, then in applying the concept algorithmically. There are still many students who lack an understanding of concepts.

scholarly journals Integrating Course Material and Application: A Progressive Writing Assignment Applied to an Astrochemistry Tutorial

2018 ◽  
Vol 2 (1) ◽  
Author(s):  
Olivia H Wilkins ◽  
Camillus F Buzard
Keyword(s):  
General Chemistry ◽  
Graduate Students ◽  
Chemistry Curriculum ◽  
Chemistry Students ◽  
Research Areas ◽  
Broader Impacts ◽  
Big Picture ◽  
Course Material ◽  
Writing Assignment ◽  
The Subject

A major challenge in teaching is helping students integrate course concepts to understand the big picture of a field and apply those concepts in new situations. To address this challenge in a tutorial course about astrochemistry (taught by graduate students to chemistry undergraduates), we implemented a progressive writing assignment that culminated in a final presentation. In the progressive writing assignment, students chose an astrochemistry topic they found interesting to be the subject of three sequential papers, which became the basis for their presentations. The purpose of this assignment was to gradually introduce chemistry students to research areas in astronomy, which is by nature outside the general chemistry curriculum, while also providing students with regular feedback. Over the course of the assignment, students applied key themes in the course—significance of astrochemistry research, research methods, and chemistry in astronomical environments—separately to their chosen topics before explaining in the final presentation how these different aspects of astrochemistry work together. By incorporating stories and anaologies, rather than just facts, students gave presentations that were accessible to a novice audience. As a result, students explained broader impacts of astrochemistry research, rather than just focusing on results, and they entertained questions with answers that went beyond clarification of the material discussed.

Reconfigurable Virtual Instrumentation Based on FPGA for Science and High-Education

2016 ◽  
pp. 99-123 ◽  
Author(s):  
Maria Liz Crespo ◽  
Andres Cicuttin ◽  
Julio Daniel Dondo Gazzano ◽  
Fernando Rincon Calle
Keyword(s):  
High Education ◽  
Theoretical Physics ◽  
Virtual Instrumentation ◽  
Industrial Sectors ◽  
Wide Range ◽  
Software Platforms ◽  
The Subject ◽  
Electronic Instrumentation ◽  
Technical Challenges ◽  
The Right

In this chapter we will show how modern FPGA offers the possibility of implementing Reconfigurable Virtual Instrumentation, a new kind of electronic instrumentation which generates interesting opportunities for regular users but that also poses several technical challenges for advanced users and instrument developers. We will analyze some of the main problems and we will give some ideas and possible strategies to deal with them. In order to put the subject in the right context we will review some general concepts regarding instrumentation in general and we later proceed with some more specific concepts and definitions. The chapter also describes two hardware/software platforms for science and high-education developed at the International Centre for Theoretical Physics (ICTP) where the concept of RVI proposed in this chapter was applied. Although we mainly adopt a scientist's prospective to define and analyze instrumentation, most of the conclusions drawn along this chapter can be easily generalized for a wide range of applications in commercial or industrial sectors.

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