Mathematical Hull Design for Sailing Yachts

1981 ◽  
Author(s):  
John S. Letcher
Keyword(s):  
Historical Perspective ◽  
Analytic Form ◽  
Surface Shape ◽  
Analytic Geometry ◽  
Representation System ◽  
Construction Methods ◽  
Small Craft ◽  
Hull Design ◽  
Basic Concepts ◽  
Mathematical Design

Mathematical representations of hull surface shape have largely supplanted graphical fairing and lofting of lines in the shipbuilding and aircraft industries, but have had little application so far to small craft. Past methods of hull design are surveyed to put mathematical design into historical perspective and point up its many advantages. The basic concepts of analytic geometry of surfaces needed for yacht hull design are briefly introduced with references. Several special aspects of the geometry of yacht hulls, arising from considerations of aesthetics, hydrodynamics, and construction methods are discussed and cast into analytic form for inclusion in a hull design scheme. The paper explains in detail a particular representation system called FAIRLINE/1, simple enough to fit into the program and memory limitations of a TI-59 calculator, yet extremely versatile. A program listing and several example hull designs created with this program are presented.

The mathematical analysis. Volume 2

2020 ◽  
Author(s):  
Galina Zhukova ◽  
Margarita Rushaylo
Keyword(s):  
Field Theory ◽  
Quality Control ◽  
Fourier Series ◽  
Mathematical Analysis ◽  
Differential Calculus ◽  
Analytic Geometry ◽  
Postgraduate Students ◽  
Several Variables ◽  
Basic Concepts ◽  
Control Knowledge

The aim of the tutorial is to help students to master the basic concepts and methods of the study of calculus. In volume 2 we study analytic geometry in space; differential calculus of functions of several variables; local, conditional, global extrema of functions of several variables; multiple, curvilinear and surface integrals; elements of field theory; numerical, power series, Taylor series and Maclaurin, and Fourier series; applications to the analysis and solution of applied problems. Great attention is paid to comparison of these methods, the proper choice of study design tasks, analyze complex situations that arise in the study of these branches of mathematical analysis. For self-training and quality control knowledge given test questions. For teachers, students and postgraduate students studying mathematical analysis.

Mathematical analysis in examples and tasks. Part 2

2020 ◽  
Author(s):  
Galina Zhukova ◽  
Margarita Rushaylo
Keyword(s):  
Field Theory ◽  
Graduate Students ◽  
Mathematical Analysis ◽  
Differential Calculus ◽  
Advanced Mathematics ◽  
Analytic Geometry ◽  
Several Variables ◽  
Background Material ◽  
Basic Concepts ◽  
Independent Work

The purpose of the textbook is to help students to master basic concepts and research methods used in mathematical analysis. In part 2 of the proposed cycle of workshops on the following topics: analytic geometry in space; differential calculus of functions of several variables; local, conditional, global extrema of functions of several variables; multiple, curvilinear and surface integrals; elements of field theory; numerical, power series, Fourier series; applications to the analysis and solution of applied problems. These topics are studied in universities, usually in the second semester in the discipline "Mathematical analysis" or the course "Higher mathematics", "Mathematics". For the development of each topic the necessary theoretical and background material, reviewed a large number of examples with detailed analysis and solutions, the options for independent work. For self-training and quality control of the acquired knowledge in each section designed exercises and tasks with answers and guidance. It is recommended that teachers, students and graduate students studying advanced mathematics.

scholarly journals Evolution of Views on Music as a Universal Language of Mankind and Its Representation in the System of General Music Education

2019 ◽  
Vol 7 (2) ◽  
pp. 144-154
Author(s):  
Bela S. Rachina
Keyword(s):  
Music Education ◽  
Art History ◽  
Historical Perspective ◽  
Modern Art ◽  
General Music ◽  
Musical Language ◽  
Spiritual Values ◽  
Universal Language ◽  
Art Historians ◽  
Basic Concepts

The article is devoted to the consideration of the essence of the phenomenon “music”, its fundamental laws and mechanisms of influence on a person. The author explores the evolution of the views of major philosophers and art historians on the content of musical art in a historical perspective. Modern art has expanded research horizons, allowed scientists to trace the genesis of musical art. The consequence of this process is the possibility of a deeper understanding of the content of the concepts “music” and “musical art” during the comparison. Reflections on the development of musical art and the innovations caused by them in the pedagogy of music education are based on three basic concepts of art history: intonation, genre, style. As a result, the author considers the problem of the development of the intonational continuum of musical art, as well as stylistic (artistic, historical, national, individual, composer, etc.), genre, diversity of musical language. The author, trying to answer the question of how to acquaint modern schoolchildren with the invaluable legacy of musical art and show the features of the new musical world created by our contemporaries, explores the problem of choosing a range of musical phenomena determined by the historical era, the corresponding musical language, the formation of the intonational intonational thesaurus, etc. The article consistently substantiates the importance of musical art in the process of preserving the most important spiritual values of our civilization.

A Cognitive-Linguistic Intervention Program: Basic Concept Formation Level

1977 ◽  
Vol 8 (1) ◽  
pp. 23-32
Author(s):  
Gerald E. Chappell
Keyword(s):  
Basic Concept ◽  
Concept Formation ◽  
Intervention Program ◽  
Cognitive Linguistic ◽  
Basic Concepts ◽  
Linguistic Skills ◽  
Linguistic Intervention

Test-teach questioning is a strategy that can be used to help children develop basic concepts. It fosters the use of multisensory exploration and discovery in learning which leads to the development of cognitive-linguistic skills. This article outlines some of the theoretical bases for this approach and indicates possibilities for their applications in child-clinician transactions.

Prekindergarteners' Performance on The Boehm Test of Basic Concepts

1988 ◽  
Vol 16 ◽  
pp. 137-141 ◽  
Author(s):  
Amelia Ouellette ◽  
Robert Casteel
Keyword(s):  
Basic Concepts

The Developing Relationship Among Cognition, Amplification, and Aural Rehabilitation

2016 ◽  
Vol 1 (6) ◽  
pp. 47-54 ◽  
Author(s):  
Jeffrey J. DiGiovanni ◽  
Travis L. Riffle
Keyword(s):  
Working Memory ◽  
Best Practices ◽  
Cognitive Abilities ◽  
Hearing Aid ◽  
Hearing Aid Fitting ◽  
Aural Rehabilitation ◽  
Basic Concepts ◽  
And Function

The search for best practices in hearing aid fittings and aural rehabilitation has generally used the audiogram and function stemming from peripheral sensitivity. In recent years, however, we have learned that individuals respond differently to various hearing aid and aural rehabilitation techniques based on cognitive abilities. In this paper, we review basic concepts of working memory and the literature driving our knowledge in newer concepts of hearing aid fitting and aural rehabilitation.

Sleep Apnea—An Historical Perspective

1990 ◽  
Vol 23 (4) ◽  
pp. 571-575
Author(s):  
Charles F. Koopmann, ◽  
Willard B. Moran
Keyword(s):  
Sleep Apnea ◽  
Historical Perspective
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