scholarly journals ISOMETRIC DEFORMATION OF THE SURFACE OF MINIMAL AREA OF A CYLINDER INCREASING ITS VOLUME

2019 ◽  
pp. 7-12
Keyword(s):  
Numerical Methods ◽  
Computer Program ◽  
Isometric Deformation ◽  
Analytical Proof ◽  
Area Optimization ◽  
Area Preserving ◽  
Minimal Area

ISOMETRIC DEFORMATION OF THE SURFACE OF MINIMAL AREA OF A CYLINDER INCREASING ITS VOLUME Lizandro Baldomero, Reyna Zegarra y Heron Juan Morales Marchena Departamento de Matemáticas, Universidad Nacional del Santa, Chimbote, Perú DOI: https://doi.org/10.33017/RevECIPeru2010.0001/ ABSTRACT A method for increasing the volume of a cylinder with minimal area preserving the isometry is expounded. To do this, it was necessary to use numerical methods and a computer program. Such method let us set down a theorem which is analogy to that given for the case of a cube instead of a cylinder, being an immediate application of this theorem to the case of optimization in designing commercial bottles. To get an analytical proof of this new theorem is demanded. Keywords: surface of minimal area; optimization in designing commercial bottles; increasing the volume without stretching.

Numerical Methods I

2021 ◽  
Author(s):  
Boris Obsieger
Keyword(s):  
Numerical Methods ◽  
Computer Program ◽  
Iterative Methods ◽  
Error Propagation ◽  
Random Variables ◽  
Regression Analyses ◽  
Practical Application ◽  
Numeral Systems ◽  
Roots Of Polynomials ◽  
Digital Computers

Textbook of several universities. 2nd edition. The color edition is also available at Glasstree Bookstore. It is recommended for students. The series of books Numerical Methods is written primarily for students at technical universities, but also as a useful handbook for engineers, PhD students and scientists. This volume introduces the reader into numeral systems and representation of numbers in digital computers. Possibly the most important part of this book are descriptions of differences between constant and random variables, related types of errors and error propagation. These topics are supplemented with various types of regression analyses. Finally, direct and iterative methods for finding roots of polynomials are explained. Practical application is supported by 77 examples and 13 algorithms. For reasons of simplicity, algorithms are written in pseudo-code, so they can easily be included in any computer program.

scholarly journals Analytical studies on the hoop conjecture in charged curved spacetimes

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Yan Peng
Keyword(s):  
Numerical Methods ◽  
Fluid Sphere ◽  
Charged Fluid ◽  
Charged Fluid Sphere ◽  
Analytical Studies ◽  
Curved Spacetimes ◽  
Analytical Proof ◽  
Hoop Conjecture ◽  
Fluid Spheres

AbstractRecently, with numerical methods, Hod clarified the validity of Thorne hoop conjecture for spatially regular static charged fluid spheres, which were considered as counterexamples against the hoop conjecture. In this work, we provide an analytical proof on Thorne hoop conjecture in the spatially regular static charged fluid sphere spacetimes.

scholarly journals Un enfoque numérico en la demostración de un teorema del incremento del volumen de un cilindro de área mínima preservando su área

2018 ◽  
pp. 83-88
Keyword(s):  
Numerical Approach ◽  
Numerical Techniques ◽  
Area Preserving ◽  
Minimal Area

Un enfoque numérico en la demostración de un teorema del incremento del volumen de un cilindro de área mínima preservando su área A numerical approach in the proof of a theorem of increasing the volume of a cylinder of minimal area preserving its area Lizandro Baldomero Reyna Zegarra, Heron Juan Morales Marchena y Santos López Rivera  Departamento de Matemática, Universidad Nacional del Santa (UNS)  Facultad de Ingeniería Agroindustrial, Universidad Nacional del Santa (UNS) DOI: https://doi.org/10.33017/RevECIPeru2013.0011/ Resumen Con la ayuda de técnicas numéricas, se propone una demostración de un teorema el cual establece que es posible incrementar el volumen de un cilindro de área mínima preservando su área. Descriptores: preservación de áreas, incremento de volumen. Abstract With the help of numerical techniques, it is proposed a proof of a theorem which tells us that it is possible to increase the volume of a cylinder of minimal area preserving its area. Keywords: preserving areas, increasing volume.

scholarly journals A mathematical model of interference for use in constructing linkage maps from tetrad data.

Genetics ◽  
1991 ◽  
Vol 129 (2) ◽  
pp. 597-602
Author(s):  
J S King ◽  
R K Mortimer
Keyword(s):  
Saccharomyces Cerevisiae ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Computer Program ◽  
Genetic Map ◽  
Linkage Maps ◽  
New Model ◽  
Point Data ◽  
Multiple Crossovers ◽  
Chiasma Interference

Abstract In determining genetic map distances it is necessary to infer crossover frequencies from the ratios of recombinant and parental progeny. To do this accurately, in intervals where multiple crossovers may occur, a mathematical model of chiasma interference must be assumed when mapping in organisms displaying such interference. In Saccharomyces cerevisiae the model most frequently used is that of R.W. Barratt. An alternative to this model is presented. This new model is implemented using a microcomputer and standard numerical methods. It is demonstrated to fit ranked tetrad data from Saccharomyces more closely than the Barratt model and thus generates more accurate estimates of map distances when used with two-point data. A computer program implementing the model has been developed for use in calculating map distances from tetrad data in Saccharomyces.

scholarly journals CRITERIO DE OPTIMIZACION POR COMPENSACION EN EL DISEÑO DE BOTELLAS CON SUPÈRFICIES LATERALES DE REVOLUCION USADOS POR EMPRESAS EN LA COMERCIALIZACION DE ALIMENTOS Y BEBIDAS

2019 ◽  
pp. 63-67
Keyword(s):  
Numerical Methods ◽  
Computer Program ◽  
Present Article ◽  
Optimization Design ◽  
Research Work ◽  
Internal Surface ◽  
Optimization Criterion ◽  
Fundamental Characteristic ◽  
Palabras Clave ◽  
Revolution Surfaces

CRITERIO DE OPTIMIZACION POR COMPENSACION EN EL DISEÑO DE BOTELLAS CON SUPÈRFICIES LATERALES DE REVOLUCION USADOS POR EMPRESAS EN LA COMERCIALIZACION DE ALIMENTOS Y BEBIDAS OPTIMIZATION CRITERION BY COMPENSATION FOR DESIGNING BOTTLES WITH SURFACE OF REVOLUTION USED BY FACTORIES FOR COMMERCIALIZING FOODS AND DRINKS Lizandro B. Reyna-Zegarra , Teodoro Moore-Flores DOI: https://doi.org/10.33017/RevECIPeru2009.0013/ RESUMEN En el presente artículo, se expone el resultado de un trabajo de investigación realizado con el propósito de validar un criterio a seguir con la finalidad de optimizar el ahorro de material en el diseño de botellas comerciales con superficies laterales de revolución y bases planas fundamentalmente. A tal criterio de optimización se le denomino Criterio de Optimización por Compensación el cual usa como herramienta principal los métodos numéricos y un programa computacional. La característica fundamental de diseño optimo es que el contenedor debe ser talque su área superficial interna debe ser mínima para un cierto volumen dado. El criterio quedo validado al mostrarse que en casi la totalidad de botellas comerciales se usa mas material que el establecido por el Criterio de Optimización por Compensación. Palabras clave: Optimización, Diseño de botellas comerciales. ABSTRACT In the present article is expounded the result of a research work performed in order to validate a criterion to fallow to optimize material for designing commercial bottles with lateral revolution surfaces and flat bases mainly. Such optimization criterion was called Optimization Criterion by Compensation which uses as main tools, numerical methods and a computer program. The fundamental characteristic of optimum design is that the container must be in such a way the area of its total internal surface must be a minimum for a given volume. Such criterion was validated when it was shown that in most commercial bottles it is used much more material than the Optimization Criterion by Compensation tell us. Keywords: Optimization, Design of commercial bottles.

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