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The partial differential equation iu_t+[(1+|u|^2u)^(-1/2)u]_(xx)=0.
Wagner's theorem states that a graph is planar iff it does not contain K_5 or K_(3,3) as a graph minor.
The right conoid surface given by the parametric equations x(u,v) = vcosu (1) y(u,v) = vsinu (2) z(u,v) = csqrt(a^2-b^2cos^2u). (3)
The statistical index P_W=(sumsqrt(q_0q_n)p_n)/(sumsqrt(q_0q_n)p_0), where p_n is the price per unit in period n and q_n is the quantity produced in period n.
The ordinary differential equation y^('')+1/2[1/(x-a_1)+1/(x-a_2)+1/(x-a_3)]y^' +1/4[(A_0+A_1x+A_2x^2)/((x-a_1)(x-a_2)(x-a_3))]y=0.
If at least one of d, e, or f has the form q^(-N) for some nonnegative integer N (in which case both sums terminate after N+1 terms), then ...
A linkage used in the original steam engine to turn back-and-forth motion into approximately straight-line motion.
A 4-polyhex.
An operator relating the asymptotic state of a dynamical system governed by the Schrödinger equation ihd/(dt)psi(t)=Hpsi(t) to its original asymptotic state.
Any discrete finite wavelet transform can be represented as a matrix, and such a wavelet matrix can be computed in O(n) steps, compared to O(nlgn) for the Fourier matrix, ...
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