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An ellipsoidal section is the curve formed by the intersection of a plane with an ellipsoid. An ellipsoidal section is always an ellipse.

The conjecture that Frey's elliptic curve was not modular. The conjecture was quickly proved by Ribet (Ribet's theorem) in 1986, and was an important step in the proof of ...

10^(18) bytes. Unfortunately, the term is sometimes also used to mean 2^(60)=1024^6 bytes. However, the latter usage is deprecated, and the term exbibyte is preferred for ...

A class of processes which attempt to round off a domain and simplify its theory by adjoining elements.

Exotic cohomology is a cohomology theory that extends index theory to a larger class of manifolds.

The curve y=1-e^(ax), illustrated above.

A closed embedded smooth plane curve has at least four vertices, where a vertex is defined as an extremum of curvature.

A distribution of values of a discrete variate represented graphically by plotting points (x_1,f_1), (x_2,f_2), ..., (x_k,f_k), and drawing a set of straight line segments ...

The curvature and torsion functions along a space curve determine it up to an orientation-preserving isometry.

Consider two closed oriented space curves f_1:C_1->R^3 and f_2:C_2->R^3, where C_1 and C_2 are distinct circles, f_1 and f_2 are differentiable C^1 functions, and f_1(C_1) ...