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A homogeneous polynomial in two or more variables.

An n-manifold which cannot be "nontrivially" decomposed into other n-manifolds.

p^~=|phi_i(x)><phi_i(t)| (1) p^~sum_(j)c_j|phi_j(t)>=c_i|phi_i(x)> (2) sum_(i)|phi_i(x)><phi_i(x)|=1. (3)

A superset which is not the entire set.

A ruled semicircle used for measuring and drawing angles.

Combine the two above squares on the left into the single large square on the right.

If there is no integer 0<x<p such that x^2=q (mod p), i.e., if the congruence (35) has no solution, then q is said to be a quadratic nonresidue (mod p). If the congruence ...

In the American system, 10^(45).

In the American system, 10^(48).

A module taking its coefficients in a ring R is called a module over R or R-module.