Search Results for ""

An anti-analytic function is a function f satisfying the condition (df)/(dz)=0. (1) Using the result ...

Construct a chain C of 2n components in a solid torus V. Now thicken each component of C slightly to form a chain C_1 of 2n solid tori in V, where pi_1(V-C_1)=pi_1(V-C) via ...

In general, an arrangement of objects is simply a grouping of them. The number of "arrangements" of n items is given either by a combination (order is ignored) or permutation ...

The triangle center with triangle center function alpha=A.

When working over a collection of fields, the base field is the intersection of the fields in the collection, i.e., the field contained in all other fields.

If g(theta) is a trigonometric polynomial of degree m satisfying the condition |g(theta)|<=1 where theta is arbitrary and real, then g^'(theta)<=m.

A common mechanism which generates singularities from smooth initial conditions.

A ring with a unit element in which every element is idempotent.

Although the inner shaded region has the same area as the outer shaded annulus, it appears to be larger. Since the rings are equally spaced, A_(inner) = pi·3^2=9pi (1) ...

The canonical bundle is a holomorphic line bundle on a complex manifold which is determined by its complex structure. On a coordinate chart (z_1,...z_n), it is spanned by the ...