This thoroughly revised, updated and expanded edition includes in particular new explicit formulas on the general quadratic, Chowla-Selberg series case, an interplay with the Hadamard calculus, and features a new chapter on recent cosmological applications including the calculation of the vacuum energy ...
structures including the force method, dynamic relaxation method, and finite element method (FEM), trends in optimization techniques and their applications are included mentioned sequential quadratic programming (SQP) and interior point optimization, with applications on different types of lightweight ...
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(8 papers), regression splines (6), kernel smoothing (7), polynomial splines (5), cubic splines (3), smoothing splines (3), wavelet bases (3), roughness penalties (2), local polynomials (2), local quadratics (1), local weighted regression (1), P-splines (1) and log-splines (1)...
,…. these can also be stated as explained below. the probability mass function p(x = x) = f(x) of a discrete random variable is a function that satisfies the following properties: p(x = x) = f(x) > 0; if x ∈ range of x that supports \(\begin{array}{l}\sum_{x\epsilon...
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Different types of antennas, such as high-profile reflectors or aperture antennas are frequently used to provide high sensing in the near-field region27. The quadratic phase for near-field focusing on reflector antennas can be obtained by defocusing the feed away from the focal point27. The str...
Light absorption near a surface of conductive materials and nanostructures leads to the excitation of nonequilibrium, high-energy charge carriers: electrons above the Fermi level or holes below it. When remaining inside a material, these so-called hot carriers result in nonlinear, Kerr-type, optical...
We prove the well posedness of the Mean Field Game system with non-separable Hamiltonian and of the linear system giving the Newton iterations. Then, by forward induction and assuming that the initial guess is sufficiently close to the solution of problem, we show a quadratic rate of ...
For training, 1000 data sets and for the tests 100 data sets have been generated with FEniCS on an equidistant grid for X∈[−1,1] with 1024 grid points and quadratic shape functions. The relative L2 errors of the FEM simulation are several orders of magnitude smaller than expected from ...