the mean and variance of the lagrangian katz family of distribution (lkd), the basiclagrangian katz distribution of type i (lkd-i) and type ii (lkd-ii) are provided in an easy method.the recurrence relation between the non-central, central and factorial moments, and the recurrencerelation between moments and cumulants of lkd, lkd-i and lkd-ii are given. the first fourcumulants of lkd-i and lkd-...

We present a simple and efficient anisotropic generalization of the semi-isotropic (twointegral) axisymmetric Jeans formalism which is used to model the stellar kinematics of galaxies. The following is assumed: (i) a constant mass-to-light ratio M/L and (ii) a velocity ellipsoid that is aligned with cylindrical coordinates (R, z) and characterized by the classic anisotropy parameter βz = 1 − v ...

We study ${\mathrm{\ensuremath{\Gamma}}}_{3}$ quadrupole orders in a face-centered cubic lattice. The moments under symmetry possess unique invariant their free energy the uniform ($\mathbf{q}=\mathbit{0}$) sector and triple-$\mathbf{q}$ for $X$ points $\mathbf{q}=(2\ensuremath{\pi},0,0),(0,2\ensuremath{\pi},0)$, $(0,0,2\ensuremath{\pi})$. Competition between this anisotropy anisotropic quadrup...

The performance of the method of angular moments on the ∆Γs determination from analysis of untagged decays B s (t), B 0 s(t) → J/ψ(→ l+l−)φ(→ KK) is examined by using the SIMUB generator. The results of Monte Carlo studies with evaluation of measurement errors are presented. The method of angular moments gives stable results for the estimate of ∆Γs and is found to be an efficient and flexible t...

In this paper, recent progress in graphic statics is combined with Williot displacement diagrams to create a graphical description of both statics and kinematics for two- and three-dimensional pin-jointed trusses. We begin with reciprocal form and force diagrams. The force diagram is dissected into its component cells which are then translated relative to each other. This defines a displacement...

An Euler diagram C = {c1, c2, . . . , cn} is a collection of n simple closed curves (i.e., Jordan curves) that partition the plane into connected subsets, called regions, each of which is enclosed by a unique combination of curves. Typically, Euler diagrams are used to visualize the distribution of discrete characteristics across a sample population; in this case, each curve represents a charac...

We derive model independent, non-perturbative supersymmetric sum rules for the gravitational quadrupole moments of arbitrary-spin particles in any N = 1 supersymmetric theory. These sum rules select a “preferred” value of h = 1 where the “h-factor” is the gravitational quadrupole analog of the gyromagnetic ratio or g-factor. This value of h = 1 corresponds identically to the preferred field the...

Sample to sample fluctuations ofthe multifractal moments of percolating randomresistor networks are studied via Monte Carlo simulations. For systems of sire L, these fluctuations depend on ~hp, the deviation from the critical concentration, only through the scaled variable ~hpL~'~. At ~hp = 0, these fluctuations depend on h, the ratio of the good and bad conductances, only through hL*. This is ...