nonconstant

Both figures are given in nonconstant dollars.

His lesser theorem states that every nonconstant entire function takes every value in the complex plane, with perhaps one exception.

Positivity: for all nonconstant X, and for any constant X.

The fundamental theorem of algebra says that every nonconstant polynomial with complex coefficients has at least one zero in the complex plane.

Erdős further conjectured that there exists a nonconstant integer-coefficient polynomial whose values at the natural numbers form a Sidon sequence.

This is equivalent to the above notion, as every nonconstant morphism between two elliptic curves is automatically surjective with finite fibres.

Any variety covered by rational curves (nonconstant maps from P), called a uniruled variety, has Kodaira dimension .

In this alternative classification scheme, a Riemann surface is called parabolic if there are no nonconstant negative subharmonic functions on the surface and is otherwise called hyperbolic.

As mentioned above, any nonconstant polynomial equation (in complex coefficients) has a solution in C. A fortiori, the same is true if the equation has rational coefficients.

In lattice theory, a bounded lattice L is called a 0,1-simple lattice if nonconstant lattice homomorphisms of L preserve the identity of its top and bottom elements.

Alternatively, the maximum modulus principle can be viewed as a special case of the open mapping theorem, which states that a nonconstant holomorphic function maps open sets to open sets.

The above fact about existence of nonconstant meromorphic functions can be used to show that any compact Riemann surface is a projective variety, i.e. can be given by polynomial equations inside a projective space.

Since concentrations resulting from physical events tend to vary with time, due to dilution processes and/or a nonconstant source term (airborne radioactivity emission rate), it is not realistic to hold the concentration constant for significant lengths of time.

The maximum possible length of a Davenport-Schinzel sequence is bounded by the number of its distinct symbols multiplied by a small but nonconstant factor that depends on the number of alternations that are allowed.

For if such a function f is nonconstant, then since the set of z where f(z) is infinity is isolated and the Riemann sphere is compact, there are finitely many z with f(z) equal to infinity.

Now if we had a holomorphic embedding of M into C, then the coordinate functions of C would restrict to nonconstant holomorphic functions on M, contradicting compactness, except in the case that M is just a point.

Let E and E be elliptic curves over a field k. An isogeny between E and E is a nonconstant morphism f : E E of varieties that preserves basepoints (i.e. f maps the identity point on E to that on E).