In fact, it was expected that the logarithmic size effect on the AP L is a common property of random networks .
Average path length in random networks
Note that, as it is more common to use the logarithm to the base 2, switching bases does not affect any analytic property of entropy rate.
On analytic properties of entropy rate
The most common types of singularities are poles, algebraic branch points, and logarithmic branch points.
Complex Singularities and the Lorenz Attractor
The following is a Σ-protocol hP, V i proposed by Schnorr for proving the knowledge of discrete logarithm, w, for a common input of the form (p, q, g, U ) such that U = gw mod p, where p, q are primes g is an element in Z ∗ p of order q .
A New Family of Practical Non-Malleable Diffie-Hellman Protocols
The curves are electrostatic equipotentials normalized by φmax with common logarithm, where φ = 0 is colored with green, the solid curves indicates φ > 0 and the dashed curve indicates φ < 0.
A Particle Simulation for the Axisymmetric Pulsar Magnetosphere: II. the case of dipole field
The logarithmic derivatives in (4.9) deﬁne a set of quantities analogous to the (reciprocal) temperature of the usual statistical mechanics, i.e., equilibrium-ﬁxing Lagrange parameters common to the bath and the subsystem.
Algebra of Conserved Generators and Statistical Ensembles in Generalized Quantum Dynamics
At least in the classical case q = 1, I think the common theme is the generating functions which are linear in logarithms, with coeﬃcients that are rational functions themselves.
And free lunch for all...
The standard leading-logarithm analysis suggests, as is commonly asserted, that the appropriate gauge is a light-cone gauge n ·A = 0, where n is a light-like vector in a suitable direction, for then non-ladder contributions are suppressed in the LLA analysis.
Small x Phenomenology: Summary and Status
The common key feature shared by the observables in these two cases is that enhanced logarithms come only from infrared singularities (no collinear singularities).
Small x Phenomenology - summary of the 3rd Lund Small x Workshop in 2004
They are commonly believed to capture at least the leading logarithmic structure.
Hadronic Final States
Inverse logarithmic slopes, Tslope (E ) = −dE /d ln f (E ) extracted by numerical derivation from the experimental hadronic spectra (after subtracting a common ﬂow effect).
Non-Extensive Approach to Quark Matter
Normally, the most commonly used type of functions are the tangent sigmoid or the logarithmic sigmoid, which can model any nonlinear function if properly trained, whereas linear functions are usually employed for linear models with high dimensionality.
Neural network interpolation of the magnetic field for the LISA Pathfinder Diagnostics Subsystem
We describe the logarithmic large deviation asymptotics of test statistics under null-hypothesis, and calculate their local Bahadur eﬃciency under common parametric alternatives.
Asymptotic Efficiency of Goodness-of-fit Tests for the Power Function Distribution Based on Puri--Rubin Characterization
As mentioned in the previous section, a common feature to many processes in QCD is the presence in the perturbative expansion of large double (Sudakov-like) logarithms at the threshold, in the OPE singularity region.
Brief review on semileptonic B decays
In order to avoid the occurrence of large logarithms of the type log2 (Q2/q2 ⊥ ), which are common in this case, we require that both scales are of the same order.
Angular Dependence of the Nuclear Enhancement of Drell-Yan Pairs