Random number generation: Difference between revisions

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[[File:Bullet nose curve.svg|thumb|right|226px|Bullet-nose curve with ''a'' = 1 and ''b'' = 1]]
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In [[mathematics]], a '''bullet-nose curve''' is a [[algebraic curve|unicursal quartic curve]] with three [[inflection point]]s, given by the equation
:<math>a^2y^2-b^2x^2=x^2y^2 \,</math>
 
The bullet curve has three double points in the [[real projective plane]], at x=0 and y=0, x=0 and z=0, and y=0 and z=0, and is therefore a unicursal (rational) curve of [[geometric genus|genus]] zero.
 
If
:<math>f(z) = \sum_{n=0}^{\infty} {2n \choose n} z^{2n+1} = z+2z^3+6z^5+20z^7+\cdots</math>
then
:<math>y = f\left(\frac{x}{2a}\right)\pm 2b\ </math>
are the two branches of the bullet curve at the origin.
 
==References==
* {{cite book | author=J. Dennis Lawrence | title=A catalog of special plane curves | publisher=Dover Publications | year=1972 | isbn=0-486-60288-5 | pages=128–130 }}
 
[[Category:Curves]]
[[Category:Algebraic curves]]

Latest revision as of 09:47, 9 January 2015

Nice to satisfy you, I am Marvella Shryock. Supervising is my profession. Puerto Rico is where he's been living for years and he will never transfer. To collect badges is what her family members and her enjoy.

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