Extractions: Golden Section, The Golden Mean, Phi such that if a square with side equal to the rectangle's short side is marked off, the remaining figure will be another golden rectangle; this process can be repeated indefinitely. Golden sections also have interesting mathematical properties. Since a/b = (a + b)/a, it follows that aa - ab - bb = 0. If this quadratic equation is solved for a in terms of b, the solution is a = b (1 plus or minus the square root of 5) /2. Using only the positive value, phi = a/b = (1 + the square root of 5)/2, which is approximately equal to 1.618. It is also true that phi squared = phi + 1 and 1/phi = phi - 1. Using approximate numerical values, 1/phi = 0.618, phi = 1.618, and phi-squared = 2.618. The golden ratio arises in FIBONACCI SEQUENCES and in the construction of some regular polygons; it is also useful in numerical analysis. source: Joe K. Smith Bibliography: Cook, Theodore A., The Curves of Life (1978); Budden, F. J., and Wormell, C. P., Mathematics Through Geometry (1964) / The New Grolier Multimedia Enclyclopedia 6.0 /r6.3 Alternating Current: AC circuits obey OHM'S LAW, E=IR, when R consists of purely resistive elements. When reactive elements (see REACTANCE) are present in the circuit, Ohm's law becomes E=IZ, where Z is the IMPEDANCE. The waveforms of current and voltage are usually displaced, reaching their peaks at different times. This difference is denoted by the phase angle designated by the lower-case Greek letter phi (a complete cycle is 360 deg). Thus the formula for powerwhich, in DC circuits, is P=EIbecomes P=EI cos phi, and the term cos phi is known as the power factor. The value of phi depends upon the particular combination of capacitors, inductors, and resistors in the circuit. Numerous, simple electrical devices, such as the light bulb and the heating element, work equally well on AC or DC, although their rates of power consumption may differ slightly.
PhysicsSeek.com - Site Profile For Charles Hermite Includes a biography comparing him with other contemporaries of charles hermite Site Profile. Title charles hermite. http://www.physicsseek.com/profiles/1210.php
Extractions: @import url(http://www.animationseek.com/style.css); Search Directory Forum Title: Charles Hermite Description: Includes a biography comparing him with other contemporaries of his, references and quotations. Url: http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hermite.html Category: Science/Physics/Mathematical_Physics/People
History Of Astronomy: What's New At This Site On May 5, 1999 hermite, charles (18221901) Short biography and references; Short biography andreferences From the Catholic Encyclopedia, 1913; Crater hermite (lunar feature). http://www.astro.uni-bonn.de/~pbrosche/new/new990505.html
Re: Some New Library Resources On The Web By Antreas P. Hatzipolakis for the truncated words/phrases; I simply copy pasted the titles from the webpages V. 2 Correspondance d hermite et de Sti Author hermite, charles V.1 http://mathforum.org/epigone/math-history-list/frixgrorbil/v01540B01B2B804549DDA
TU/e Publication Lists Arthur L. Part of Collection TU/e Full Text Available, Sur quelquesapplications des fonctions elliptiques / hermite, charles. Part of http://library.tue.nl/catalog/TUEPublicationNew.csp?Language=eng&Type=digitalboo
TU/e Publication Lists Arthur L. In bezit TU/e Volledige tekst beschikbaar, Sur quelques applicationsdes fonctions elliptiques / hermite, charles. In bezit http://library.tue.nl/catalog/TUEPublicationNew.csp?Language=dut&Type=digitalboo
The Cornell Library Historical Mathematics Monographs Document name Cours de M. hermite redige en 1882 par M. Andoyer, Go to page NA Production Note. http://historical.library.cornell.edu/cgi-bin/cul.math/docviewer?did=04470002&se
Henri Poincaré http://www.fact-index.com/h/he/henri_poincare.html
Extractions: Main Page See live article Alphabetical index Henri Poincaré April 29 July 17 ) full name Jules Henri Poincaré was one of France 's greatest theoretical scientists.. He made many original fundamental contributions to mathematics mathematical physics , and celestial mechanics . He was responsible for formulating the Poincaré Conjecture , one of the most famous problems in mathematics. In his research on the three-body problem , Poincaré became the first person to discover a chaotic deterministic system and laid the foundations of modern Chaos theory . Poincaré anticipated Albert Einstein special theory of relativity Table of contents 1 Work
