Personal Website of Joseph Coffa

Example 1 $$ \begin{array} {lcl} L(p,w_i) &=& \dfrac{1}{N}\Sigma_{i=1}^N(\underbrace{f_r(x_2\rightarrow x_1 \rightarrow x_0)G(x_1\longleftrightarrow x_2)f_r(x_3\rightarrow x_2 \rightarrow x_1)}_{sample\, radiance\, evaluation\, in\, stage2} \\\\\\ &=& \prod_{i=3}^{k-1}(\underbrace{\dfrac{f_r(x_{i+1}\rightarrow x_i\rightarrow x_{i-1})G(x_i\longleftrightarrow x_{i-1})}{p_a(x_{i-1})}}_{stored\,in\,vertex\, during\, light\, path\, tracing\, in\, stage1})\dfrac{G(x_k\longleftrightarrow x_{k-1})L_e(x_k\rightarrow x_{k-1})}{p_a(x_{k-1})p_a(x_k)}) \end{array} $$ Example 2 $$ \begin{array} {lcl} L(p,w_i) &=& \dfrac{1}{N}\Sigma_{i=1}^N(\underbrace{f_r(x_2\rightarrow x_1 \rightarrow x_0)G(x_1\longleftrightarrow x_2)f_r(x_3\rightarrow x_2 \rightarrow x_1)}_{sample\, radiance\, evaluation\, in\, stage2} \\\\\\ & & \prod_{i=3}^{k-1}(\underbrace{\dfrac{f_r(x_{i+1}\rightarrow x_i\rightarrow x_{i-1})cos\theta_{i\rightarrow i-1}}{p_w(x_i\rightarrow x_{i-1})}}_{stored\,in\,vertex\, during\, light\, path\, tracing\, in\, stage1})\dfrac{cos\theta_{k\rightarrow k-1}L_e(x_k\rightarrow x_{k-1})}{p_w(x_k \rightarrow x_{k-1})p_a(x_k)}) \end{array} $$ Example 3 $$\int_{-\infty}^{\infty} e^{-x^2} dx$$ $${a}^{b} - \overbrace{c}^{d}$$ $$\underbrace{a}_{b} - \underbrace{c}_{d}$$ $$ \begin{aligned} equation &= 16 \\ other &= 26 + 13 \end{aligned} $$ $$ \begin{pmatrix} a & b \\ c & d \end{pmatrix} $$

Retrieved from a random google search because I couldn’t be bothered to type all this out myself. An h1 Header Paragraphs are separated by a blank line. 2nd paragraph. Italic, bold, and monospace. Itemized lists look like: this one that one the other one You can use 3 dashes—which is quite an elegant solution—to insert an em-dash. Block quotes are written like so. They can span multiple paragraphs, if you like....

Oh boy, I sure do love writing C code! I Hope I Don’t Encounter Any Buffer Overflows! 1 2 3 4 int main(void) { char buf[10] = "Hi, World"; buf[10] = '!'; } Ah, of course. I Love Leaking Memory 1 2 3 4 5 6 7 8 9 10 11 12 13 #include <stdlib.h> int main(void) { int size = 1000; while (size >= 1) { if (!malloc(size)) { size /= 10; } } return EXIT_SUCCESS; // :) } Hey at least we aren’t Java 1 2 3 4 5 6 7 8 package master; //package main; public class Master { public static void main(String[] args) { System....

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