The \u27Fa Chia\u27 Political Theory and its Application in the Ch\u27in Empire

China was already old in its own eyes by the year 221 B.C. To picture that age in its proper perspective, it will be necessary, for a while, to look backwards toward an even more distant time, adjusting sight onto a day when China was young, and with what memories still extant, try to reconstruct, uncovering and making clear, that complex which caused a dawn, one magnificent moment, to explode, brilliantly and deadly, into the day of the Legalist, fortunately brief, where a God reigned on high in the guise of cruel Law--and the People suffered..

Infra-red stability of Yukawa and soft-breaking fixed points

We investigate the infra-red stability of the fixed points in the evolution of the Yukawa couplings, $A$-parameters and soft scalar masses in a broad class of supersymmetric theories. We show that the issue of stability is essentially determined in all three cases by the eigenvalues of the same matrix. In a very wide range of physically interesting theories it follows that, in the asymptotically free case, the existence of stable infra-red fixed points for the Yukawa couplings implies stable infra-red fixed points for the $A$-parameters and soft scalar masses.Comment: 12 pages, tex, Uses harvmac (big). Errors corrected in Eqs. (33)-(35), and some references adde

Infra-red stable fixed points of R-parity violating Yukawa couplings in supersymmetric models

We investigate the infra-red stable fixed points of the Yukawa couplings in the minimal version of the supersymmetric standard model with R-parity violation. Retaining only the R-parity violating couplings of higher generations, we analytically study the solutions of the renormalization group equations of these couplings together with the top- and b-quark Yukawa couplings. We show that only the B-violating coupling $\lambda^{''}_{233}$ approaches a non-trivial infra-red stable fixed point, whereas all other non-trivial fixed point solutions are either unphysical or unstable in the infra-red region. However, this fixed point solution predicts a top-quark Yukawa coupling which is incompatible with the top quark mass for any value of $\tan\beta$.Comment: Plain latex to be run twice, 12 pages. Replaced with version to appear in Physics Letters

An Optimal Method to Combine Results from Different Experiments

This article describes an optimal method (conflation) to consolidate data from different experiments, and illustrates the advantages of conflation by graphical examples involving gaussian input distributions, and by a concrete numerical example involving the values of lattice spacing of silicon crystals used in determination of the current values of Planck\u27s constant and the Avogadro constant

Bias in Monte Carlo Simulations Due To Pseudo-Random Number Generator Initial Seed Selection

Pseudo-random number generators can bias Monte Carlo simulations of the standard normal probability distribution function with initial seeds selection. Five generator designs were initial-seeded with values from 10000HEX to 1FFFFHEX, estimates of the mean were calculated for each seed, the distribution of mean estimates was determined for each generator and simulation histories were graphed for selected seeds