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I propose this be split into two articles, butterfly curve (algebraic) and butterfly curve (transcendental) and then the articles expanded. Gene Ward...

detailed lists on other pages. [1] is a reasonable base at 2,473 bytes. Algebraic curves and the more exotic polyhedra are such as List of polygons, polyhedra...

mathematics: (algebraic) topology: fundamental group, classifying space (BGLn) vs. group cohomology, K-theory number theory Algebraic geometry (abelian...

University resuts in chaos and while I don't want to introduce anything about butterfly wings in this dicussion, the impact of this behavior is real and inevitable...

on contemporary geometry, perhaps right after algebraic geometry (and definitely after both algebraic geometry and differential geometry). Complex geometry...

refers to "monster" curves -- specifically the Koch "snowflake" and the Peano "space-filling" curve. According to this book, the Peano curve led Hausdorff to...

is Parseval's theorem from Fourier analysis, a second year problem in algebraic graph theory. [12] NB: The Good Will Hunting article refers to the problem...

minimum of the curve and the lagged curve, and this is not the same as the integral of the product of the curve and the lagged curve. — Preceding unsigned...

their validity universally...And we are speaking about a non-homogeneous algebraic linear system of three equations in three unknowns...! Nobody has ever...

formula. Or, is a distinction to be made between more abstract, i.e. algebraic, formalisms vs. real geometry? Is it necessary for a decomposed manifold...

calculate it given only information about a single point that lies on the curve. That doesn't mean it doesn't exist. For any f(x), f'(x) is perfectly well-defined...

be taken as a kind of ralation, but the article defines it in purely algebraic terms. So it could be confusing. I'm also no sure whether admonition is...

pretty hard to believe. How many men have the stomach that Kuja has (and the curves to go along with it?). His body's chickish enough. Then again, some of the...

lead has to suggest a continuity of ideas between the airy heights of algebraic decomposition on the one hand and the school art class on the other. I...

Back Kotter" You have ever considered burning a picture of yourself in a butterfly collar shirt. ....My list could go ON and ON and ON! My birthdate: October...

the readability of the list overall. This list is not like a list of butterfly names or a list of passerine bird names. The list as a whole has information...