Geometry.Net - Scientists: Koch Helge Von


Home - Scientists - Koch Helge Von

e99.com Bookstore

Images

Newsgroups

61-80 of 97 Back | 1 | 2 | 3 | 4 | 5 | Next 20

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Koch Helge Von: more detail

Instruments and Measurements: Chemical Analysis, Electric Quantities, Nucleonics and Process Control: v. 2 by Helge Von Koch, Gregory Ljungberg, 1961-12

Mathématicien Suédois: Ivar Fredholm, Albert Victor Bäcklund, Waloddi Weibull, Gösta Mittag-Leffler, Helge Von Koch, Johan Håstad (French Edition)

Instruments and Measurements: Chemical Analysis, Electric Quantities, Nucleonics and Process Control, Vol. 2 (Proceedings Fifth International Instruments & Measurements Conference, Sep 1960, Stockholm, Sweden) by Helge; Ljungberg, Gregory; Reio, Vera (editors) von Koch, 1961-01-01

Föreläsningar Öfver Teorin För Transformationsgrupper (Swedish Edition) by Helge Von Koch, 2010-01-09

Instruments and Measurements: Chemical Analysis, Electric Quantities, Nucleonics and Process Control, Vol. 1 (Proceedings Fifth International Instruments & Measurements Conference, Sep 1960, Stockholm, Sweden) by Helge; Ljungberg, Gregory; Reio, Vera (editors) von Koch, 1961-01-01

Instruments & Measurements 2vol by Helge Von Koch, 1961

lists with details

Koch
Translate this page Niels Fabian helge von koch. Nasceu 25 Jan 1870 em Stockholm, Suécia.Morreu 11 Mar 1924 em Stockholm, Suécia. helge koch ( ver
http://jurere.mtm.ufsc.br/~dorini/koch.html

Extractions: Nasceu: 25 Jan 1870 em Stockholm, Suécia. Morreu: 11 Mar 1924 em Stockholm, Suécia. Helge Koch ( ver foto ) foi estudante de Mittag Leffer (também matemático - ver ref2) e o sucedeu em 1911 na Stockholm University / Suécia. Ele é famoso pela curva entitulada com seu nome ( ver curva A curva de Koch possui importantes propriedades; por exemplo: O comprimento de arco entre quaisquer dois pontos da curva é infinito. Vale salientar que a curva é limitada no plano; A área delimitada pela curva é 8/5 da área do triângulo original (a demonstração desse fato não deve ser dificil - é necessário somar a área de todos os triângulos que são acrescentados - certamente teremos uma soma infinita); A curva não admite tangente em qualquer de seus pontos; É uma curva fractal de dimensão fractal log4/log3, que é aproximadamente 1.2618. Fato curioso esse. Referências: www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Koch.html www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Mittag-Leffler.html
What (Koch's Snowflake)
The koch Curve was studied by helge von koch in 1904. When considered in its snowflakeform (see below) the curve is infinitely long but surrounds finite area.
http://www.ecu.edu/si/cd/interactivate/activities/koch/what.html

Extractions: What is the Koch's Snowflake Activity? This activity allows the user to step through the generation of a fractal made from deforming a line by bending it. This activity allows the user to step through the generation of a fractal made from deforming a line by bending it. The Koch Curve was studied by Helge von Koch in 1904. When considered in its snowflake form (see below) the curve is infinitely long but surrounds finite area. To build the original Koch curve, start with a line segment 1 unit long. (Iteration 0, or the initiator) Replace each line segment with the following generator: Note that we are really taking the original line segment and replacing it with four new segments, each 1/3 the length of the original. Repeat this process on all line segments. Stages 0, 1 and 2 are shown below. The limit curve of this process is the Koch curve. It has infinite length. Notice also that another feature that results from the iterative process it that of self-similarity, i.e., if we magnify or "zoom in on" part of the Koch curve, we see copies of itself. The idea of the Koch curve was extended to the Koch "Snowflake" by applying the same generator to all three sides of an equilateral triangle; below are the first 4 iterations.
Koch Snowflakes
magnified. A simple fractal is the koch snowflake, named after Swedishmathematician helge von koch (18701924). The construction
http://www.simpson.edu/~math/labs/snow/snow.html

Extractions: Koch Snowflakes n th stage snowflake? n th state snowflake? n th stage snowflake? n th stage snowflake where the final term of the sum is a function of n c) Use the command "sum(f(n),n=1..infinity);" where f n ) is the n th term of the sum for the area. This will give the area of the infinity stage Koch triangle.
Les Fractales
Translate this page En 1904, helge von koch a trouvé une courbe continue et non dérivable. Onconstruit cette courbe, dite flocon ou île de von koch, par récurrence.
http://www.ifrance.com/nobug/nobug1/article1/fract1/fractp14.htm
El Conjunto De Koch
Translate this page Definidas por helge von koch en 1904, estas curvas se forman a partir de un segmento,por la sustitución de su tercio central por dos segmentos de longitud
http://platea.pntic.mec.es/~mzapata/tutor_ma/fractal/koch1.htm

Extractions: Definidas por Helge von Koch en 1904, estas curvas se forman a partir de un segmento, por la sustitución de su tercio central por dos segmentos de longitud tambien un tercio, pero formando ángulos de 60º. Proceso que se repite recursivamente en cada segmento de las figuras que progresivamente se van obteniendo. Por tanto la poligonal de nivel 1 es un segmento: Para NIVEL=1
Koch
Close Window Tomorrow is Niels Fabian helge von koch's Birthday! We thank you foryour snowflakes. Happy Birthday koch. Born January 25 in Stockholm, Sweden.
http://curvebank.calstatela.edu/birthdayindex/jan/jan24koch/jan25koch.htm
Die Fraktale Geometrie Ist Jener Junge Teil Der Mathematik
Translate this page Bekannte Mathematiker wie Georg Cantor (1872), Guiseppe Peano (1890), David Hilbert(1891), helge von koch (1904), Waclaw Sierpinski (1916) oder Gaston Julia
http://www.kuehnert.de/mg/ifs/frac004.htm

Extractions: Die sogenannten klassischen Fraktale wurden zu Anfang des vorigen Jahrhunderts veröffentlicht. Bekannte Mathematiker wie Georg Cantor (1872), Guiseppe Peano (1890), David Hilbert (1891), Helge von Koch (1904), Waclaw Sierpinski (1916) oder Gaston Julia (1918) - um nur einige zu nennen - entdeckten eine Anzahl von Kurven und Mengen mit - für die damalige Riege der Mathematiker - eigenartigen und geradezu anomalen Eigenschaften. Diese 'mathematischen Monster' oder 'Monsterkurven', wie man diese Kurven zu nennen pflegte, wurden im 19. Jahrhundert zu Kuriositäten und sonderbaren Anomalien deklariert, die eine Ausnahme und nicht die Regel darstellen sollten, und gerieten bis Mitte der 70ger Jahre fast in Vergessenheit. Darstellung klassischer Fraktale Die überwiegende Zahl der klassischen Fraktale entsteht durch einem iterativen Prozeß, indem bestimmte Elemente (z.B. gewisse Linienstücke oder Flächenteile) einem Ausgangsobjekt (= Initiator) hinzufügt oder entfernt werden. Ein Beispiel ist die nach Helge von Koch benannte Koch-Kurve.
Koch's Curve
efficient implementation. koch's Curve. An example of a simple fractalimage is koch's curve, named after Swedish helge von koch. The idea
http://www.cs.auc.dk/~normark/eciu-recursion/html/recit-note-koch.html

Extractions: Page 14 : 41 Recursion * Introduction Introduction About the authors * Everyday recursion Everyday recursion Recursive visual effects Physical structures: A staircase Biological processes: Strawberry plants (1) Biological processes: Strawberry plants (2) 'Recursion' in dictionaries * Fractals and Curves Fractals Cantor's set Koch's Curve Fractal Essentials Fractals in a cultural perspective Settlement of Bamileke The Ba-ila settlement Hilbert Curves (1) Hilbert Curves (2) Building Hilbert Curves of order 1 Building Hilbert Curves of order 2 Building Hilbert Curves of order 3 Building Hilbert Curves of order 4 A program making Hilbert Curves * Recursive algorithms and recursive processes The Eight Queens Problem (1) The Eight Queens Problem (2) Backtracking and the Eight Queens Problem A solution to the Eight Queens Problem * Recursive data types Recursive datatypes Linear lists Binary trees * The implementation of recursion The implementation of recursive functions Implementation of recursion Stack development of normal recursion An alternative recursive definition of fak Stack development of the alternative fak A memory efficient implementation Koch's Curve An example of a simple fractal image is Koch's curve, named after Swedish Helge von Koch
Koch's Curve
koch's Curve, An example of a simple fractal image iskoch's curve, named after Swedish helge von koch.
http://www.cs.auc.dk/~normark/eciu-recursion/html/recit-slide-koch.html
Koch Snowflake - Wikipedia
segments connected end to end. It is a fractal and was brought to usin 1904 by helge von koch (a Swedish mathematician.). kochFlake.png.
http://www.wikipedia.org/wiki/Koch_snowflake

Extractions: Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help From Wikipedia, the free encyclopedia. The Koch curve is one of the earliest fractal curves to have been described, appearing in a paper entitled "Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes plane" by the Swedish mathematician Helge von Koch You can imagine that it was created by starting with a line segment, then recursively altering each line segment as folows: divide the line segment into three segments of equal length. draw an equilateral triangle that has the middle segment from step one as its base. remove the line segment that is the base of the triangle from step 2.
Bate Byte 121 Junho/2002 - A Curva De Kock (Fractal Floco De Neve)
Translate this page mostra um fractal conhecido como a Curva de koch, ou fractal do Floco de Neve, quefoi pesquisado inicialmente pelo matemático sueco helge von koch em 1904, e
http://www.pr.gov.br/celepar/celepar/batebyte/edicoes/2002/bb121/curva.htm

Extractions: A Curva de Koch (Fractal Floco de Neve) Autor Sergio Luiz Marques Filho Dando continuidade aos artigos sobre fractais, o desenho abaixo mostra um fractal conhecido como a Curva de Koch, ou fractal do Floco de Neve, que foi pesquisado inicialmente pelo matemático sueco Helge von Koch em 1904, e recebeu este nome por sua semelhança com um floco de neve. O fractal do floco de neve é uma excelente figura para entendermos os conceitos de fractais, pois o mesmo apresenta as características de fractais que vimos: O Fractal do Floco de Neve O fractal do Floco de Neve, consiste em um triângulo equilátero inicial, de onde tomamos cada um de seus lados e o dividimos em três segmentos de reta iguais. Retiramos, então, o segmento do meio e o substituímos por outro triângulo equilátero sem a base. Demonstramos abaixo as iterações de um dos lados do triângulo inicial. Iterações: Cálculo dos pontos Situação inicial: Após a primeira iteração.
Les Fonctions Continues Sans Derivees
Translate this page C'est le suédois helge von koch qui donne le premier un exemple detelle courbe. Cette courbe est maintenant devenue classique.
http://perso-info.enst-bretagne.fr/~brouty/Maths/noderiv.html

Extractions: Retour Plan Il existe une version latex de cet article. fonction "...... On appelle fonction de x ou en général d'une quantité quelconque, une quantité algébrique composée de tant de termes que l'on voudra et dans laquelle x se trouve de manière quelconque, mélée ou non avec des constantes.Ainsi sont des fonctions de x." Pour F x a ab
Vorl_ws_0102
Translate this page koch-Schneeflocke Mathematisches Fraktal (helge von koch, 1904), Iterative Berechnungenvon Umfang und Fläche, Grenzübergang für unendlich kleine Skalen
http://oie.mpg.uni-rostock.de/people/reinhard.dir/vorl_ws_0102/
Biography-center - Letter V
von koch, helge wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/koch.html;von Leibniz, Gottfried www-history.mcs.st-and.ac.uk/~history/Mathematicians
http://www.biography-center.com/v.html

Extractions: random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish 192 biographies Vaca, Alva Nuñez Cabeza de
Enseigner Les Fractales Au Lycée
Translate this page La courbe du mathématicien suédois helge von koch (1904) est un des premiersexemples historiques de courbe continue mais non dérivable en tout point.
http://www2.ac-lille.fr/math/fractales.htm
DIMENSIONS OF THE FRACTALS
One of perhaps the most famous fractals is koch's curve named after helge vonkoch, 1904. Find a dimension of the snowflake curve (of helge von koch).
http://rc.fmf.uni-lj.si/matija/logarithm/worksheets/fractal.htm

Extractions: Between the late 1950s and early 1970s Benoit Mandelbrot evolved a new type of mathematics, capable of describing and analysing the structured irregularity of the natural world, and coined a name for the new geometric forms: fractals . Fractals are forms with detailed structure on every scale of magnification. The simplest fractals are self-similar. Small pieces of them are identical to the whole. We are going to see only some very simple examples. Some pictures: The dimension of the fractal is very interesting. We are used to the idea, that a line is one-dimensional, a plane two-dimensional, a solid three-dimensional. But in the world of fractals, dimension aquires a broader meaning, and need not be a whole number. We are going to study the dimensions of the fractals on the example of Sierpinski gasket. This is obtained by repeatedly deleting the middle quarter of a triangle, removing smaller and smaller pieces, forever. The Sierpinski gasket can be thought of as being composed of three identical gaskets, each
DeutschesFachbuch.de
Translate this page Buchcover Werner koch, Stuttgart Aktualisierte Gehölzwerttabellen Bäume undSträucher als 3. Auflage, bearbeitet von helge Breloer - Auszug - Titelblatt
http://abcatalog.net/buchtipp/landwirtschaft/3884876341.html
Perfect & Pathological Math
topics from week one to von koch snowflake · General properties of logarithms· Biography Georg Cantor, helge von koch, Waclaw Sierpinski, David Hilbert.
http://www.moscholars.org/curriculum/Perfect and Pathological Mathematics.htm

Extractions: I. Course description Quick! When is a coffee cup equivalent to a donut? Is it possible for a shape to have infinite surface area and finite area? How do you know? In this class, we will meet the fringe elements of the world of mathematics: we'll encounter well-behaved and mathematically beautiful ideas and theorems, and we'll spend a lot of time with the misbehaving miscreants that have stymied long-held mathematical assumptions. We'll not only study the functions, curves and ideas that have reassured and rocked the world of math; we'll also study the means by which a theorem, proposition or lemma becomes mathematically valid. In addition, we'll explore the lives of the movers and shakers of the history of math and develop some ideas about the evolving nature of mathematics. Was it invented or discovered? What are the most pressing mathematical questions of our time? II. Instructor's educational preparation and current employment
L-Systems - Koch Curve
With each further step it increases its length by about 4/3. It firstappeared in a paper from Niels Fabian helge von koch in 1906.
http://ai.toastbrot.ch/life/koch.php

Extractions: We start with a single straight line. By deviding the line into three equal parts and replacing the center part with two line segments each one-third in length we get...(click on the image below). The figure now contains four equal linesegments. In the next step each of the four segments is replaced again in the same way. This is to be repeated endlessly, so to generate the Koch Curve.
Mathenomicon.net : Reference : Koch Curve
generator. is usually taken to be an equilateral triangle. EtmyologyEnglish helge von koch Swedish mathematician (18701924).
http://www.cenius.net/refer/display.php?ArticleID=kochcurve

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

61-80 of 97 Back | 1 | 2 | 3 | 4 | 5 | Next 20