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A polynomial having only real numbers as coefficients. A polynomial with real coefficients is a product of irreducible polynomials of first and second degrees.

The space of immersions of a manifold in another manifold is homotopically equivalent to the space of bundle injections from the tangent space of the first to the tangent ...

A closed trail is called a circuit when it is specified in cyclic order but no first vertex is explicitly identified.

A derivative of a complex function, which must satisfy the Cauchy-Riemann equations in order to be complex differentiable.

If F is a group, then the extensions G of F of order o with G/phi(G)=F, where phi(G) is the Frattini subgroup, are called Frattini extensions.

If the difference between the order and the dimension of a series is less than the curve genus, then the series is special.

The ordinal number of a value in a list arranged in a specified order (usually decreasing).

A method for constructing magic squares of odd order, also called the Siamese method.

The Dürer folium is a special case of the rose curve with n=1. It is therefore also an epitrochoid. It has polar equation r=asin(theta/2) (1) and can be written as a ...

A Diophantine problem (i.e., one whose solution must be given in terms of integers) which seeks a solution to the following problem. Given n men and a pile of coconuts, each ...