Fixed order perturbation theory is not able to describe the transversal momentum spectrum of a electro-weak gauge boson. It is needed to resum whole classes of enhanced logarithmic terms. Depending on the phase space region different classes of logarithmic terms can be important. There are different approaches to sum such logarithmic terms including evolution equations of parton density functio...

In this paper, a feature extraction method for evaluating the complexity of Electromagnetic Environment (EME) photovoltaic power station is presented by using logarithmic morphological gradient spectrum (LMGS) based on mathematical theory. We use LMGS to evaluate electromagnetic environment signals. also explored impact structure element (SE) MS, MGS, and LMGS. Three types SE, mean line square ...

We find that nonlinearities in the dark-matter power spectrum are dramatically smaller if the density field first undergoes a logarithmic mapping. In the Millennium simulation, this procedure produces a power spectrum with a shape hardly departing from the linear power spectrum for k . 1hMpc−1 at all redshifts. Also, this procedure unveils pristine Fisher information on a range of scales reachi...

The hadronic k ⊥ -spectrum and the gluon to quark average multiplicity ratio r = Ng/Nq inside a high energy sub-jet are determined from a precise definition of the jet axis, including corrections of relative magnitude O(αs) with respect to the Modified Leading Logarithmic Approximation (MLLA), in the limiting spectrum approximation (assuming an infrared cut-off Q0 = Λ QCD ). The results for the...

Temporal processing of the time trajectories in the logarithmic spectrum domain, performed in cepstral mean subtraction, in computation of dynamic features in speech, or in RASTA processing, is becoming a common procedure in current ASR. Such temporal processing effectively enhances some components of the modulation spectrum of speech while suppressing others. It is therefore important to know ...

Dedicated to Richard Guy on his 80th birthday, for all the inspiring problems that he has posed Contents 1 Introduction: Deenitions and properties of the spectrum 2 The natural and logarithmic densities of m-th power residues 2a The proportion of m-th power residues up to x 2b Logarithmic proportions of m-th power residues 3 Basic properties of integral equations 3a Existence and uniqueness of ...

We discuss whether the (MSSM) unification of gauge couplings can be accommodated in string theories with a low (TeV) string scale. This requires either power law running of the couplings or logarithmic running extremely far above the string scale. In both cases it is difficult to arrange for the multiplet structure to give the MSSM result. For the case of power law running there is also enhance...

The Multi-Dimensional Logarithmic Number System (MDLNS), with similar properties to the Logarithmic Number System (LNS), provides more degrees of freedom than the LNS by virtue of having two orthogonal bases and the ability to use multiple digits. Unlike the LNS, there is no direct functional relationship between binary/floating point representation and the MDLNS representation. Traditionally l...

In order to meet the users’ demand, bike sharing systems must be regularly rebalanced. The problem of balancing bike sharing systems (BBSS) is concerned with designing optimal tours and operating instructions for relocating bikes among stations to maximally comply with the expected future bike demands. In this paper, we tackle the BBSS by means of Constraint Programming: first, we introduce two...