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| − | A AoPS member, National MathCounts qualifier, and USAJMO qualifier. | + | A AoPS member. |
| − | ==Contest Results==
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| − | ===MathCounts===
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| − | In 2011, as a 7th grader, I didn't qualified for the State Countdown Round. In 2012, as an 8th grader, I lost the National MathCounts.
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| − | In the National competition, and scores as the worst.
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| − | | |
| − | ===AMCs===
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| − | 2012: 17 on AMC 10A, 27.5 on AMC 10B, 1 on AIME, 37.5 index for USAJMO. The cutoff was a 999.5, so I did not qualify for the USAJMO. However, I got 0 on the USAJMO. That thing is hard.
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| − | ==Equations for the Roots of the Complex==
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| − | <cmath>\sqrt{a+bi}=\sqrt{\frac{a+\sqrt{a^2+b^2}}{2}}+i\sqrt{\frac{-a+\sqrt{a^2+b^2}}{2}}</cmath>
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| − | 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. I have also found various roots of unity in their radical forms during my spare time.
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| − | ==Spirographs==
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| − | I have created a great number of spirographs, each interesting and unique. More can be found on my [http://www.artofproblemsolving.com/Forum/blog.php?u=93546& AoPS blog] (but you might have to look through a few pages of other stuff, too). To view the entire collection, please visit [http://www.negativebplusorminus.blogspot.com negativebplusorminus.blogspot.com], but again, you might have to scroll down a bit. Here are some samples:
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| − | <asy>
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| − | 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>
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| − | <asy>
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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 floor(t);}
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| − | int p=25;
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| − | int n=45+p;
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| − | path g=polargraph(f,-100pi,100pi,281, operator --);
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| − | draw(g, blue);</asy>
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| − | | |
| − | ==Inspirographs==
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| − | Another amazing creation of mine. More can be found [http://www.artofproblemsolving.com/Forum/blog.php?u=93546& here] (but you might have to look through a few pages of other stuff, too).
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| − | To view the entire collection, please visit [http://www.negativebplusorminus.blogspot.com negativebplusorminus.blogspot.com] in the near future (the site will be updated soon). Below are a few samples.
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| − | <asy2>
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| − | import graph3;
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| − | import grid3;
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| − | import palette;
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| − | size(400,300,IgnoreAspect);
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| − | defaultrender.merge=true;
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| − | real f(pair z) {return sin(z.y)*(z.x^2+1)^(0.1*log(z.y^2+1));}
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| − | surface s=surface(f,(-30,-30),(30,30),70,Spline);
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| − | s.colors(palette(s.map(zpart),Rainbow()));
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| − | draw(s,render(compression=Low,merge=true));
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| − | grid3(XYZgrid);</asy2>
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| − | <asy2>
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| − | import graph3;
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| − | import grid3;
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| − | import palette;currentprojection=orthographic(1,5,0.2);
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| − | size(400,300,IgnoreAspect);
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| − | defaultrender.merge=true;
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| − | real f(pair z) {return sin(z.x^2+z.y^2);}
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| − | surface s=surface(f,(-2.95,-2.95),(2.95,2.95),70,Spline);
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| − | s.colors(palette(s.map(zpart),Rainbow()));
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| − | draw(s,render(compression=Low,merge=true));
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| − | grid3(XYZgrid);</asy2>
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