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Any equation of the form $$x^n+y^n=1$$ represents a superellipse. But when I plot $$x^{999}+y^{999}=1$$ I get something uncanny.
This is certainly not a superellipse. What is this shape called$?$ Is desmos not working properly as it is not giving the plot of a superellipse$?$ Is this because of ...
A superellipse, also known as a Lamé curve after Gabriel Lamé, is a closed curve resembling the ellipse, retaining the geometric features of semi-major axis and semi-minor axis, and symmetry about them, but a different overall shape.
In the Cartesian coordinate system, the set of all points
(
x
,
y
)
{\displaystyle (x,y)}
on the curve satisfy the equation
|
x
a
|...
-1
In mathematics, crystalline cohomology is a Weil cohomology theory for schemes X over a base field k. Its values Hn(X/W) are modules over the ring W of Witt vectors over k. It was introduced by Alexander Grothendieck (1966, 1968) and developed by Pierre Berthelot (1974).
Crystalline cohomology is partly inspired by the p-adic proof in Dwork (1960) of part of the Weil conjectures and is closely related to the algebraic version of de Rham cohomology that was introduced by Grothendieck (1963). Roughly speaking, crystalline cohomology of a variety X in characteristic p is the de Rham cohomology of...
Proposal: Create tag "squarefree" and its related tag info
I was surprised to find that we don't have a "squarefree" tag. There are about 350 Questions on Math.SE that mention "squarefree" (and about three times that many if all posts are included). Among other advantages, a tag would provide ...
