OneWeirdDude/Nana shogi

OneWeirdDude/Pahoran

I like these songs:

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(In no particular order:)

Mathematical Alphabet

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(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

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