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One of the three 2-polyaboloes.

A metric g_(ij) which is zero for i!=j.

A diffeomorphism is a map between manifolds which is differentiable and has a differentiable inverse.

The difference of two numbers n_1 and n_2 is n_1-n_2, where the minus sign denotes subtraction.

A cryptarithmetic in which digits are used to represent other digits.

For a finite group of h elements with an n_ith dimensional ith irreducible representation, sum_(i)n_i^2=h.

The operator D=-i(d+d^*), where d^* is the adjoint.

A simple graph with n>=3 graph vertices in which each graph vertex has vertex degree >=n/2 has a Hamiltonian cycle.

Two quantities y and x are said to be directly proportional, proportional, or "in direct proportion" if y is given by a constant multiple of x, i.e., y=cx for c a constant. ...

If g is continuous and mu,nu>0, then int_0^t(t-xi)^(mu-1)dxiint_0^xi(xi-x)^(nu-1)g(xi,x)dx =int_0^tdxint_x^t(t-xi)^(mu-1)(xi-x)^(nu-1)g(xi,x)dxi.