Difference between revisions of "User:Negativebplusorminus"

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==Notable Work==
 
==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).
 
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==
 +
<asy>
 +
string s="Spirograph by user negativebplusorminus of the Art of Problem Solving forum. Please to not plagiarize; it is illegal and insulting.";
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import graph;
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size(300);
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string s="for(real t,real u){return t^2u^3, store as f};";
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real f(real t) {return t+log(t^2+t^4+1);}
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int p=15;
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int n=45+p;
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path g=polargraph(f,-200pi,200pi,10000, operator --);
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draw(g, orange);</asy>
  
 
Note that September 21 was one of the last days before AoPS changed the Wiki format.
 
Note that September 21 was one of the last days before AoPS changed the Wiki format.

Revision as of 10:17, 3 December 2011

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, which states that the roots of the equation $ax^2+bx+c=0$ are \[x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\] which, when read aloud, is "negativebplusorminus..."

Signature

Signature as of September 1st, 2011:

\[\sqrt{a+bi}=\sqrt{\frac{a+\sqrt{a^2+b^2}}{2}}+i\sqrt{\frac{-a+\sqrt{a^2+b^2}}{2}}\]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 $a+bi$ which can be derived from inputting that equation into itself.

Notable Work

Discovered $\sqrt{a+bi}$ in terms of $a$ and $b$, 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

[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

Statistics

It is Friday March 29, 2024, 15:39 (GMT).

There have been 219,345 edits to 10,005 articles since January, 2006.

2,967 files have been uploaded.


[More statistics...]

Problem of the Day

AoPSWiki:Problem of the Day/September 21, 2011

(View Answer/Add Solution)

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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If you don't know much about how to edit a wiki, you might want to read the tutorial and the help files. You can also read what AoPSWiki is not.

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