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Two algebraic objects that are commutative, i.e., A and B such that A*B=B*A for some operation *, are said to commute with each other.

A surface which has no edges.

All lengths can be expressed as real numbers.

An improper use of the symbol sqrt(-1) for the imaginary unit leads to the apparent proof of a false statement. sqrt(-1) = sqrt(-1) (1) sqrt((-1)/1) = sqrt(1/(-1)) (2) ...

A complex polynomial is a polynomial with complex coefficients.

CP.

A vector whose elements are complex numbers.

Given a quadratic form Q(x,y)=x^2+y^2, (1) then Q(x,y)Q(x^',y^')=Q(xx^'-yy^',x^'y+xy^'), (2) since (x^2+y^2)(x^('2)+y^('2)) = (xx^'-yy^')^2+(xy^'+x^'y)^2 (3) = ...

Conditional logit regression assumes a model of the form p_j=(e^(beta^'x_j))/(sum_(j)e^(beta^'x_j)) for j=1, ..., k+1. In this model, a subject is presented with choice ...

K=-e^2, where e is the eccentricity of a conic section.