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The third-order ordinary differential equation y^(''')+alphayy^('')+beta(1-y^('2))=0.

The characteristic exponent of a field is 1 if the field characteristic is 0 and p if the field characteristic is p.

The partial differential equation 2u_(tx)+u_xu_(xx)-u_(yy)=0.

The limit of a lower sum, when it exists, as the mesh size approaches 0.

The British word for "zero." It is often used to indicate 0 subscripts, so a_0 would be spoken as "a naught."

The set of "critical values" of a map u:R^n->R^n of map class C^1 has Lebesgue measure 0 in R^n.

The limit of an upper sum, when it exists, as the mesh size approaches 0.

Let A denote an R-algebra, so that A is a vector space over R and A×A->A (1) (x,y)|->x·y. (2) Now define Z={x in A:x·y=0 for some y in A!=0}, (3) where 0 in Z. An Associative ...

The base-4 method of counting in which only the digits 0, 1, 2, and 3 are used. The illustration above shows the numbers 0 to 63 represented in quaternary, and the following ...

A normal distribution with mean 0, P(x)=h/(sqrt(pi))e^(-h^2x^2). (1) The characteristic function is phi(t)=e^(-t^2/(4h^2)). (2) The mean, variance, skewness, and kurtosis ...