Base sizes of primitive groups of diagonal type

Let $G$ be a permutation group on a finite set $\Omega$. The base size of $G$ is the minimal size of a subset of $\Omega$ with trivial pointwise stabiliser in $G$. In this paper, we extend earlier work of Fawcett by determining the precise base size of every finite primitive permutation group of diagonal type. In particular, this is the first family of primitive groups arising in the O'Nan-Scott theorem for which the exact base size has been computed in all cases. Our methods also allow us to determine all the primitive groups of diagonal type with a unique regular suborbit.Comment: to appear in Forum Math. Sigm

Thermodynamics in the universe described by the emergence of the space and the energy balance relation

It has previously been shown that it is more general to describe the evolution of the universe based on the emergence of the space and the energy balance relation. Here we investigate the thermodynamic properties of the universe described by such a model. We show that the first law of thermodynamics and the generalized second law of thermodynamics (GSLT) are both satisfied and the weak energy condition are also fulfilled for two typical examples. Finally we examine the physical consistency for the present model.Comment: 9 pages, 2 figure

True-single-phase all-N-logic differential logic (TADL) for very high-speed complex VLSI

[[abstract]]A family of new logic circuits, called true-single-phase all-N-logic differential logic (TADL), are proposed and analyzed. The logic circuits are designed with only NMOS devices in the logic tree. Two kinds of sensing techniques are used for improving the speed operation, namely, the balanced sense amplifier for the differential-input TADL and the unbalanced sense amplifier for the single-input TADL. A complex function can be implemented in a TADL gate and high operation speed can be achieved without dc power dissipation. Only a true-single-phase clock is required to form the fully pipelined systems. Simulation results show that circuits designed by the TADL have the advantages of high-speed operation and low power-delay product.[[conferencetype]]國際[[conferencedate]]19960512~19960515[[booktype]]紙本[[conferencelocation]]Atlanta, GA, US

Measurement of Absorption Cross Section of a Lossy Object in Reverberation Chamber Without the Need for Calibration

A reliable and simple procedure is proposed to measure the averaged absorption cross section (ACS) of a lossy object in a reverberation chamber (RC). This procedure is based on the time-domain measurement of the ACS in an RC. In the time-domain, to obtain the ACS, the chamber decay time needs to be known. Conventionally, the ACS is normally measured in the frequency domain, and a full two-port calibration must be carried out before collecting the S-parameters, which is tedious and time-consuming. In reality, the chamber decay time depends on the diffused loss of the RC, not the insertion loss of the cables. In this paper, by making use of this fact, the ACS can be measured accurately without calibration, which will simplify the measurement process and shorten the measurement time at the same time