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While an equality A=B states that two mathematical expressions are equal, an inequation A!=B states that two expressions are not equal.
Jacobi's imaginary transformations relate elliptic functions to other elliptic functions of the same type but having different arguments. In the case of the Jacobi elliptic ...
An elliptic curve of the form y^2=x^3+n for n an integer. This equation has a finite number of solutions in integers for all nonzero n. If (x,y) is a solution, it therefore ...
An unknot which can only be unknotted by first increasing the number of crossings.
Approximates the possible values of y in terms of x if sum_(i,j=0)^na_(ij)x^iy^j=0.
An element B of a ring is nilpotent if there exists a positive integer k for which B^k=0.
Coordinates defined by an orthocentric system.
The roots (sometimes also called "zeros") of an equation f(x)=0 are the values of x for which the equation is satisfied. Roots x which belong to certain sets are usually ...
There are a great many beautiful identities involving q-series, some of which follow directly by taking the q-analog of standard combinatorial identities, e.g., the ...
The point at which a curve or function crosses the x-axis (i.e., when y=0 in two dimensions).
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