user:Emote

• Overhaul the Alexander Stephens page

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• Create a page for Linton Stephens

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$e^\{At\}\; \backslash triangleq\; \backslash mathcal\{L\}^\{-1\}\; [(sI\; -\; A)^\{-1\}]$

$\backslash mathbf\{\}x(t)\; =\; e^\{At\}x(0)$

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$I\_D\; =\; \backslash frac\{1\}\{2\}k\_n\text{'}\backslash frac\{W\}\{L\}(V\_\{GS\}-V\_t)^2$

$r\_o\; =\; \backslash frac\{\; \backslash left|\; V\_A\; \backslash right|\; \}\{I\_D\}$

$V\_A\; =\; \backslash frac\{1\}\{\backslash lambda\}$

$g\_m\; =\; \backslash frac\{i\_d\}\{v\_\{gs\}\}\; =\; k\_n\text{'}\backslash frac\{W\}\{L\}(V\_\{GS\}-V\_t)$

$g\_m\; =\; \backslash sqrt\{2k\_n\text{'}\}\backslash sqrt\{W/L\}\backslash sqrt\{I\_D\}\; =\; \backslash frac\{2I\_D\}\{V\_\{OV\}\}$

$A\_v\; =\; \backslash frac\{v\_d\}\{v\_\{gs\}\}\; =\; -g\_mR\_D$

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#include

#include

void main()

{

int outcome;

float a, b, Ea, Eb, Sa, Sb;

printf("Enter player A's initial rating: ");

scanf("%f", &a);

printf("Enter player B's initial rating: ");

scanf("%f", &b);

printf("Did player A win(1), lose(2), or draw(3)? ");

scanf("%i", &outcome);

while((outcome != 1) && (outcome != 2) && (outcome !=3))

{

printf("\nERROR -- must choose 1, 2, or 3\n\n");

printf("Did player A win(1), lose(2), or draw(3)? ");

scanf("%i", &outcome);

}

Ea = 1 / (1 + pow(10,((b-a)/400)));

Eb = 1 / (1 + pow(10,((a-b)/400)));

if ( outcome == 1 )

{

Sa = 1;

Sb = 0;

}

else if ( outcome == 2 )

{

Sa = 0;

Sb = 1;

}

else

{

Sa = 0.5;

Sb = 0.5;

}

printf("\nPlayer A has a new rating of %f\n", a + 32*(Sa - Ea));

printf("Player B has a new rating of %f\n\n", b + 32*(Sb - Eb));

return;

}

Natural log integral:

$\backslash int\; \backslash frac\{1\}\{x\}\; \backslash ,\; dx\; =\; \backslash ln\; x$

Pulse function:

$\backslash prod\; (t)\; =\; u(t+\backslash frac\{1\}\{2\})\; -\; u(t-\backslash frac\{1\}\{2\})$

Fourier transform of double-sided exponential:

$e^\; \backslash frac\{-\backslash left\; |\; t\; \backslash right\; |\}\{\backslash tau\}\; \backslash iff\; \backslash frac\{2\; \backslash tau\}\{1+(2\; \backslash pi\; f\; \backslash tau)^2\}$

Absolute value interpretation:

[http://tools.wikimedia.de/~interiot/cgi-bin/Tool1/wannabe_kate?username=Emote&site=en.wikipedia.org My edit count]