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int_a^bf_1(x)dxint_a^bf_2(x)dx...int_a^bf_n(x)dx <=(b-a)^(n-1)int_a^bf_1(x)f_2(x)...f_n(x)dx, where f_1, f_2, ..., f_n are nonnegative integrable functions on [a,b] which are ...

The inequality (j+1)a_j+a_i>=(j+1)i, which is satisfied by all A-sequences.

The ratio of a measure of the size of a "fit" to the size of a "residual."

Two triangles having the same triangle medians are said to be comedian triangles (Lachlan 1893, p. 63).

A number h which satisfies the conditions of the congruum problem: x^2+h=a^2 and x^2-h=b^2, where x,h,a,b are integers. The list of congrua is given by 24, 96, 120, 240, 336, ...

A sentence is called a contradiction if its truth table contains only false entries.

Extend the symmedians of a triangle DeltaA_1A_2A_3 to meet the circumcircle at P_1, P_2, P_3. Then the symmedian point K of DeltaA_1A_2A_3 is also the symmedian point of ...

One of the Plücker characteristics, defined by p=1/2(n-1)(n-2)-(delta+kappa)=1/2(m-1)(m-2)-(tau+iota), where m is the class, n the order, delta the number of nodes, kappa the ...

The slicing of a three-dimensional object by a plane (or more general slice).

A theory is decidable iff there is an algorithm which can determine whether or not any sentence r is a member of the theory.