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An operator A^~ such that A^~^2=A^~ or an element of an algebra x such that x^2=x.

A "line" having imaginary coefficients in its equations which can arise in algebraic geometry.

A divisor which is not a proper divisor.

A fixed point for which the stability matrix has equal nonzero eigenvectors.

A curve created by starting with a circle, dividing it into six arcs, and flipping three alternating arcs. The process is then repeated an infinite number of times.

Two objects which touch each other are said to be incident.

For a sequence {a_n}, if a_(n+1)-a_n>0 for n>=x, then a_n is increasing for n>=x. Conversely, if a_(n+1)-a_n<0 for n>=x, then a_n is decreasing for n>=x. If a_n>0 and ...

A spherical image of a curve. The most common indicatrix is Dupin's indicatrix.

If f:(X,A)->(Y,B) is homotopic to g:(X,A)->(Y,B), then f_*:H_n(X,A)->H_n(Y,B) and g_*:H_n(X,A)->H_n(Y,B) are said to be the induced maps.

While an equality A=B states that two mathematical expressions are equal, an inequation A!=B states that two expressions are not equal.