Difference between revisions of "User:Negativebplusorminus"

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A AoPS member.
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A AoPS member.
 
 
==Reaper==
 
I got 9th place in the longest game of Reaper, Game 18, and 16th in Game 19.  In game 20, I was 20th.  I also managed to get a score of 2797 in Boxy, the temporary game that existed on October 4th.
 
==negativebplusorminus==
 
My username is from the [[Quadratic formula | quadratic formula]], which states that the roots of the equation <math>ax^2+bx+c=0</math> are
 
<cmath>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</cmath>
 
which, when read aloud, is "negativebplusorminus..."
 
==Signature==
 
Signature as of September 1st, 2011:
 
{| class="wikitable" style"border:thin solid gray;background:#eeffe;padding:10px;width:65%"
 
| style="border:thin solid gray;padding:10px;"|
 
 
 
<cmath>\sqrt{a+bi}=\sqrt{\frac{a+\sqrt{a^2+b^2}}{2}}+i\sqrt{\frac{-a+\sqrt{a^2+b^2}}{2}}</cmath>Pride goes before destruction, a haughty spirit before a fall.
 
I swear on my honor that my work and my answers are my own; if I received help, credit is given.
 
|}
 
===Equation===
 
I derived that equation myself, and I am quite proud of it.  I have a similar one for the fourth roots of <math>a+bi</math> which can be derived from inputting that equation into itself.
 
==Notable Work==
 
Discovered <math>\sqrt{a+bi}</math> in terms of <math>a</math> and <math>b</math>, without trigonometry (not even using DeMoivre's theorems), and is noted for using mostly correct punctuation, capitalization, and spelling in the [[Art of Problem Solving]] classes (see [[AoPS Online School]] for how this classroom operates).
 
==Spirographs==
 
I have created a great number of spirographs, each interesting and unique.  They are contained on my blog.  Below is a sample:
 
<asy>
 
string s="Spirograph by user negativebplusorminus of the Art of Problem Solving forum. Please to not plagiarize; it is illegal and insulting.";
 
import graph;
 
size(300);
 
string s="for(real t,real u){return t^2u^3, store as f};";
 
real f(real t) {return t+log(t^2+t^4+1);}
 
int p=15;
 
int n=45+p;
 
path g=polargraph(f,-200pi,200pi,10000, operator --);
 
draw(g, orange);</asy>
 
 
 
Note that September 21 was one of the last days before AoPS changed the Wiki format.
 
==AoPS Wiki as of September 21, 2011==
 
__NOTOC__
 
__NOEDITSECTION__
 
<div style="float:right; width:25%; position: relative;">
 
{{topics}}
 
{{statistics}}
 
 
 
</div>
 
{| class="wikitable" style"border:thin solid gray;background:#eeffe;padding:10px;width:65%"
 
| style="border:thin solid gray;padding:10px;border-bottom:none"|
 
<span style="font-size:20px">Problem of the Day</span>
 
|-
 
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{{:AoPSWiki:Problem of the Day/September 21, 2011}}
 
|-
 
| style="border:thin solid gray;padding:10px;padding-top:0px;border-top:none" align="right"|
 
([[AoPSWiki_Talk:Problem of the Day/September 21, 2011|View Answer/Add Solution]])
 
|-
 
| style="border:thin solid gray;padding:10px;"|
 
Welcome to the AoPSWiki! The AoPSWiki is a wiki (or a publicly editable online resource) project administered by the [[Art of Problem Solving]] for supporting educational content useful to avid math students. Unlike most online resources, the AoPSWiki is meant to be easily readable by even the least advanced student.  Also, the AoPSWiki, being a wiki, can be edited by anyone!
 
 
 
AoPSWiki runs on the [[MediaWiki]] software.
 
|-
 
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===Getting Started===
 
|-
 
| style="border:thin solid gray;padding:10px;" | 
 
If you don't know much about how to edit a wiki, you might want to read the [[AoPSWiki:Tutorial | tutorial]] and the [[Help:Contents|help files]]. You can also read [[AoPSWiki:What AoPSWiki is not|what AoPSWiki is not]].
 
 
 
Lastly, please read the [[AoPSWiki:Policy|policies]] of the AoPSWiki before editing, and [[AoPSWiki:What makes AoPSWiki different|why AoPSWiki is different from other online resources]].
 
 
 
Also, here are some tasks you can do if you want to help out on the AoPSWiki:
 
* Write/edit articles.
 
* Upload an image. ([[Help:Images|Learn how]])
 
* Add information useful to students of [[problem solving]].
 
* [[AoPSWiki:Site support|Support the AoPSWiki]].
 
* Let others know about the AoPSWiki.
 
 
 
|}
 

Latest revision as of 21:29, 24 July 2016

A AoPS member.