User:Emote

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Newton's Cradle

I am an electrical engineering student. I have four younger brothers (ages 20, 16, 13, and 6) and a little sister (18 months). I enjoy studying theology, playing and listening to music, solving math problems, hiking in the mountains, and playing baseball.

I am a Reformed Presbyterian Christian. In addition to believing in the sufficiency and inerrancy of Scripture, I adhere to the Five Solas, the Doctrines of Grace, Paedobaptism, Covenant Theology, the Presbyterian form of church government, and the Westminster Confession of Faith.

I play the piano and the viola. My favorite composers are George Frideric Handel, Franz Joseph Haydn, and Felix Mendelssohn. I highly esteem each of these men for his own beautiful contribution to sacred oratorical music: Handel's Messiah, Haydn's The Creation, and Mendelssohn's Elijah.

My favorite place in the world is my home, Colorado. Known as the Rooftop of America, Colorado has the highest average elevation of any state, with 54 mountain peaks that tower above 14,000 feet. Its motto is Nil Sine Numine which means "Nothing Without Providence."

Click here to access Samuel Rutherford's Letters, available as a PDF download.

Demonstration of convolution
Demonstration of convolution

Contents

[edit] Work documentation

Status: in progress
Status: in progress
Status: not started
  • Create a page for Linton Stephens
Status: not started

[edit] Control equations

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

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

[edit] CMOS equations

Profile of a single CMOS transistor
Profile of a single CMOS transistor

I_D = \frac{1}{2}k_n'\frac{W}{L}(V_{GS}-V_t)^2

r_o = \frac{ \left| V_A \right| }{I_D}

V_A = \frac{1}{\lambda}

g_m = \frac{i_d}{v_{gs}} = k_n'\frac{W}{L}(V_{GS}-V_t)

g_m = \sqrt{2k_n'}\sqrt{W/L}\sqrt{I_D} = \frac{2I_D}{V_{OV}}

A_v = \frac{v_d}{v_{gs}} = -g_mR_D

[edit] C code

This user lives in or is from the State of Colorado.


This user is an undergraduate student majoring in Electrical Engineering and minoring in Mathematics.
This user plays the viola.
This user listens to the music of Franz Joseph Haydn.
This user is a member of WikiProject Calvinism
C This user can program in C.
xslt This user is an XSL Transformations programmer.
1RR This user prefers discussing changes on the talkpage rather than engaging in an edit war.
This user respects copyright and other intellectual property rights.
#include <stdio.h>
#include <math.h>
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;
}

[edit] Sandbox

Natural log integral:
 \int \frac{1}{x} \, dx = \ln x

Pulse function:
 \prod (t) = u(t+\frac{1}{2}) - u(t-\frac{1}{2})

Fourier transform of double-sided exponential:
 e^ \frac{-\left | t \right |}{\tau} \iff \frac{2 \tau}{1+(2 \pi f \tau)^2}

Absolute value interpretation:
 x < \left| 5 \right|     \rarr     -5 < x < 5

[edit] Other

My edit count