Class Wiki - User contributions [en]

Winter 2010

2010-01-07T03:49:10Z

Brandon.vazquez:

Put links for your reports here. Someone feel free to edit this better.

Links to the posted reports are found under the publishing author's name. (Like it says above, if you hate it...change it! I promise I won’t cry. Brandon)

1. [[Biesenthal, Dan]]

2. [[Blackley, Ben]]

3. [[Cruz, Jorge]]

4. [[Fullerton, Colby]]

5. [[Grant, Joshua]]

6. [[Gratias, Ryan]]

7. [[Hawkins, John]]

8. [[Lau, Chris]]

9. [[Roath, Brian]]

10. [[Robbins, David]]

11. [[Roth, Andrew]]
<math>\Rightarrow</math> [[Example: LaTex format (0 points)]]

<math>\Rightarrow</math> [[Chapter 22--Fourier Series: Fundamental Period, Frequency, and Angular Frequency]]

12. [[Vazquez, Brandon]]

13. [[Vier, Michael]]

14. [[Wooley, Thomas]]

Score Pages

2010-01-06T21:39:57Z

Brandon.vazquez:

===Class List===
====2010====
#[[Biesenthal, Dan]]
#[[Blackley, Ben]]
#[[Cruz, Jorge]]
#[[Fullerton, Colby]]
#[[Grant, Joshua]]
#[[Gratias, Ryan]]
#[[Hawkins, John]]
#[[Lau, Chris]]
#[[Roath, Brian]]
#[[Robbins, David]]
#[[Roth, Andrew]] '''123 pts.'''
#[[Vazquez, Brandon]] '''11/3 pts.'''
#[[Vier, Michael]]
#[[Wooley, Thomas]] '''11/5 pts.'''

==Keeping Score==

=====Author:=====
*1 point/line
*1 point/(citation of other work)
*3 points/(citation of this work)
*1/20 point/line/reader
*-1/3 point/line for errata (Transfer points to the finder of the errata.)

=====Reviewer:=====
*1/6 points/line
*-1/10 points/line for errata (Transfer points to the finder of the errata.)

=====Reader:=====
*1/10 point/line
*-1/20 point/line for errata (Transfer points to the finder of the errata.)

Chapter 22--Fourier Series: Fundamental Period, Frequency, and Angular Frequency

2010-01-06T21:17:41Z

Brandon.vazquez:

22 lines (currently)

1 reference

1 figure

123 points

Please refrain from error checking until the 2 reviewers do their job. Thank you!

I can't figure out how to reference something. If someone knows how please let me know. Thanks!

==Period, Frequency, and Angular Frequency==
[[Image:Sinewave.png|300px|thumb|right|Picture of a Sine Wave where f(x)=sin(x)]]

===Period===

Long long ago, in a high school class called trigonometry, we leaned about '''periodic functions'''. A periodic function is a function that repeats itself over and over for infinity. The '''period''' of the function is the distance of one iteration that is infinitely repeating.

<center>A signal <math>f(t)</math> is periodic if, for some <math>T > 0</math> and all ''t'',</center>

<center><math>f(t+T) = f(t)</math><ref>Textbook, 22.1</ref></center>

Where T is the period

The picture to the right shows the plot of the standard sine function whose period is <math>2\pi</math>. What the plot does not show is that the line keeps extending and repeating the bumps and valleys over the whole x axis, or <math>(-\infty,\infty)</math>. But wait! Can't the period also be <math>4\pi</math> or <math>6\pi</math>? In fact it can. Because the graph of sin(x) repeats itself every <math>2\pi</math> units, the period of the function is actually <math>2\pi n</math> where n is any whole number from zero to <math>\infty</math>

===Frequency and Angular Frequency===

The '''Frequency''' is the number of periods per second and is defined mathematically as

<math>f = \frac{1}{T}</math>

The standard unit of measurement for frequency is Hz (Hertz). 1 Hz = 1 cycle/second

The '''Angular Frequency''' is defined as

<math>\omega = 2\pi f = \frac{2\pi}{T}</math>

The standard unit of measurement for angular frequency is in radians/second.

===Fundamental Period, Frequency, and Angular Frequency===

The '''fundamental period''' is the smallest positive real number <math>T_0</math> for which the periodic equation <math>f(t+T) = f(t)</math> holds true.

The '''fundamental frequency''' is defined as <math>f_0 = \frac{1}{T_0}</math>.

The '''fundamental angular frequency''' is defined as <math>\omega_0 = 2\pi f_0 = \frac{2\pi}{T_0}</math>.

==References==
{{reflist}}

==Author==
Andrew Roth

==Reviewers==
Brandon Vazquez
==Readers==
Thomas Wooley

Vazquez, Brandon

2010-01-05T23:27:34Z

Brandon.vazquez: New page: == Contact info == '''Email:''' brandon.vazquez@wallawalla.edu '''Phone/Text:''' (509) 845-5403

== Contact info ==

'''Email:''' brandon.vazquez@wallawalla.edu

'''Phone/Text:''' (509) 845-5403

File:What I Would Rather Be Doing.jpg

2010-01-05T23:02:02Z

Brandon.vazquez: What I Would Rather Be Doing Right Now!

What I Would Rather Be Doing Right Now!