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For b>a>0, 1/b<(lnb-lna)/(b-a)<1/a.

The unit of information obtained by using the natural logarithm lnx instead of the base-2 logarithm log_2x=lgx when defining entropy and related information theoretic ...

The natural domain of a function is the maximal chain of domains on which it can be analytically continued to a single-valued function.

A natural transformation Phi={Phi_C:F(C)->D(C)} between functors F,G:C->D of categories C and D is said to be a natural isomorphism if each of the components is an ...

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

The general equation of fluid flow (lambda+2mu)del (del ·u)-mudel x(del xu)=rho(partial^2u)/(partialt^2), where mu and lambda are coefficients of viscosity, u is the velocity ...

A negative matrix is a real or integer matrix (a)_(ij) for which each matrix element is a negative number, i.e., a_(ij)<0 for all i, j. Negative matrices are therefore a ...

where del is the backward difference.

Let N be a nilpotent, connected, simply connected Lie group, and let D be a discrete subgroup of N with compact right quotient space. Then N/D is called a nilmanifold.

Any irreducible curve may be carried by a factorable Cremona transformation into one with none but ordinary singular points.