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Any linear system of point-groups on a curve with only ordinary singularities may be cut by adjoint curves.

A subset M of a Hilbert space H is a linear manifold if it is closed under addition of vectors and scalar multiplication.

Two or more functions, equations, or vectors f_1, f_2, ..., which are not linearly dependent, i.e., cannot be expressed in the form a_1f_1+a_2f_2+...+a_nf_n=0 with a_1, a_2, ...

A curve on a surface whose tangents are always in the direction of principal curvature. The equation of the lines of curvature can be written |g_(11) g_(12) g_(22); b_(11) ...

An algorithm for finding roots for quartic equations with complex roots.

product_(i)dp_idq_i, where p_i and q_i are momenta and positions of particles.

This is proven in Rademacher and Toeplitz (1957).

In space, the only conformal mappings are inversions, similarity transformations, and congruence transformations. Or, restated, every angle-preserving transformation is a ...

An elliptic function with no poles in a fundamental cell is a constant.

A member of the smallest algebraically closed subfield L of C which is closed under the exponentiation and logarithm operations.