User:OneWeirdDude

OneWeirdDude/Nana shogi

OneWeirdDude/Pahoran

I like these songs:
(In no particular order:)


 * Total Eclipse of the Heart, by Bonnie Tyler
 * Cat's in the Cradle, by Harry Chapin
 * We Didn't Start the Fire, by Billy Joel
 * Secret Agent Man, by Johnny Rivers
 * Born to be Wild, Steppenwolf
 * Axel F, by Harold Faltermeyer
 * Within Attraction, Yanni
 * Stayin' Alive, BeeGees
 * Oh Yeah, by Yello
 * Hotel California, The Eagles
 * Lemmings DDR Remix
 * What is Love, by Haddaway
 * Chariots of Fire, by Vangelis
 * Adiemus, by Karl Jenkins (not Enya)
 * California Dreamin', by The Mamas and the Papas
 * Wild Child, Enya
 * That "soap opera lullaby", or whatever—with no words.
 * In the Hall of the Mountain King, by Edvard Grieg
 * Separate Ways, by Journey
 * What's Up?, by 4 Non Blondes

Mathematical Alphabet
(A little hobby of mine.)

i - The imaginary unit. Also the first index/counter, and the first quaternionic unit.

j - The imaginary unit in engineering. Also the second index/counter, and the second quaternionic unit.

k - The third index/counter, and the third quaternionic unit.

m - Integer to accompany n, when necessary.

n - General integer

r - The distance from the origin in polar coordinates, the distance from the z-axis in cylindrical coordinates, and in general the unsigned distance from (x, y) = (0, 0) in other coordinate systems.

u - x-component of w, in the complex numbers; also a common substitution in calculus, and a substitute integrand in integration by parts

v - y-component of w, in the complex numbers; also a substitute integrand in integration by parts

w - The fourth dimension, and the dependent variable in coordinate hyperspace.
 * (Beyond four dimensions, x with subscripts are usually used; e.g. x7 for the seventh dimension.)
 * Also the dependent variable in complex numbers, with components u, v.

x - The first variable usually learned in algebra class. Also the independent variable in spatial one-dimensional functions, and one of two or more such variables in two or more dimensions. Also the signed distance from the origin on the number line, or from the y-axis on the co-ordinate plane (abscissa), or from the yz-plane in co-ordinate space, or from the yzw-realm in co-ordinate hyperspace, etc.

y - The second such variable usually learned, and the dependent variable in spatial one-dimensional functions, and one of two or more independent variables in two or more dimensions. Also the signed distance from the x-axis on the co-ordinate plane (ordinate), or from the xz-plane in co-ordinate space, or from the xzw-realm in co-ordinate hyperspace, etc.

z - The third such variable usually learned, and the dependent variable in two-dimensional functions. Also the signed distance from the xy-plane, etc. Also the independent variable in C, the complex numbers, with components x, y.

Famous past-and-present unsolved math problems

 * Collatz conjecture
 * Fermat's Last Theorem
 * proved in 1994 by Andrew Wiles
 * Four color theorem
 * proved by computer in 1976 by Kenneth Appel and Wolfgang Haken
 * improved in 1997 by Robertson, Sanders, Seymour, and Thomas
 * further improved and simplified in 2005, by Georges Gonthier
 * Goldbach's conjecture
 * formulas for roots of polynomials
 * cubic
 * depressed form solved by Scipione del Ferro (1465-1526), and later published in 1545 by Gerolamo Cardano (1502-1576)
 * general form solved by Cardano
 * special cases solved by Rafael Bombelli (ca. 1526-1573) in 1572
 * quartic: solved by Ludovico Ferrari (1522-1565)
 * quintic and higher degrees: proven to be impossible in 1824 by Niels Abel (1802-1829)
 * odd perfect numbers
 * classification of manifolds
 * ongoing for three dimensions
 * proved impossible in 4D by Andrey Markov Jr. in 1960
 * tessellations of convex polygons
 * hexagons solved by Karl Reinhardt (three cases)
 * pentagons (ongoing):
 * five types discovered by Reinhardt
 * three more by Richard Brandon Kershner
 * a ninth by Richard E. James III
 * four more by Marjorie Rice (totaling 13)
 * a 14th by Rolf Stein
 * a 15th by Casey Mann, Jennifer McLoud-Mann, and David Von Derau