Table of Integrals, Series, and Products

By I. S. Gradshteyn, I. M. Ryzhik, A. Jeffrey, Y. Geronimus, M. Y. Tseytlin, Y. Fung. 1966

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Gaussian Processes for Data-Efficient Learning in Robotics and Control (2015, methodology): “c(x) = 1− exp ( − 1 2σ2 c d(x,xtarget) 2 ) ∈ [0, 1] , (44)”
The impact of frequency-flat fading on the spectral efficiency of CDMA (2001, background): “where denotes the inverse of the exponential integral function [ 22 ]”
Rough path analysis via fractional calculus (2006, background): “ny r∈ [s,t] sup r∈[s,t] |xr| ≤ |xs| +(t− s)βkxks,t,β≤ |xs| +(t−s)2ε. Since the interval [0,T] can be divided into [T/τ] intervals of length τ= 1 α(y), the inequality (4.4) follows. Theorem 4.2 Let y: [0,1] → Rd be a β-Ho¨lder continuous function. Suppose that (yi,yj,yi⊗yj) is a real valued β-Ho¨lder”
Asymptotically exact minimax estimation in sup-norm for anisotropic Hölder classes (2004, background): “Lemma 3. ( Gradshteyn and Ryzhik, 1965, formula 4.635.2) For a continuous function f : ¢0 ! R, we have”