Parameterized Littlewood-Paley Operators on Weighted Herz Spaces

The strong type and weak type estimates of parameterized Littlewood-Paley operators on the weighted Herz spaces Kq α,p（ω1,ω2） are considered. The boundednessof the commutators generated by BMO functions and parameterized Littlewood-Paley operators are also obtained.

不同云微物理方案对弱天气尺度强迫下一次强对流的模拟

针对2016年7月26日发生在江苏北部的一次弱天气尺度强迫下强对流过程,选用WRF(Weather Research and Forecasting)模式中具有一定代表性的5种云微物理参数化方案进行模拟。结果表明,只有NSSL 1-momlfo方案能够较好地再现回波的位置、强度及层云区,其余四种方案模拟的回波与实况存在不同程度的差异。原因是不同方案模拟的热动力结构、水成物及相变潜热的空间分布存在差异,其中NSSL方案模拟的上升气流更强劲,冷池范围也更集中;水成物集中在一个狭窄的水平区域,雨水在中低层较多,雪粒子和霰粒子在中高层较多;与此相应,NSSL方案相变潜热释放最多,进一步加强了上升运动。

Parameterized Littlewood-Paley Operators and Area Integrals on Weak Hardy Spaces

In this paper, we establish the boundedness of parameterized Littlewood-Paley operator μλ^＊,p and parameterized area integralμΩ^σSp with kernel satisfying the logarithmic type Lipschitz condition on the weak Hardy space.

Theory of a Mach Effect Thruster I

The Mach Effect Thruster (MET) is a propellant—less space drive which uses Mach’s principle to produce thrust in an accelerating material which is undergoing mass—energy fluctuations, [1]-[3]. Mach’s principle is a statement that the inertia of a body is the result of the gravitational interaction of the body with the rest of the mass-energy in the universe. The MET device uses electric power of 100 - 200 Watts to operate. The thrust produced by these devices, at the present time, are small on the order of a few micro-Newtons. We give a physical description of the MET device and apparatus for measuring thrusts. Next we explain the basic theory behind the device which involves gravitation and advanced waves to incorporate instantaneous action at a distance. The advanced wave concept is a means to conserve momentum of the system with the universe. There is no momentun violation in this theory. We briefly review absorber theory by summarizing Dirac, Wheeler-Feynman and Hoyle-Narlikar (HN). We show how Woodward’s mass fluctuation formula can be derived from first principles using the HN-theory which is a fully Machian version of Einstein’s relativity. HN-theory reduces to Einstein’s field equations in the limit of smooth fluid distribution of matter and a simple coordinate transformation.

THE PL ATEAU-BEZIER PROBLEM WITH WEAK-A REA FUNCTIONAL

In this paper,we present a new method to solve the Plateau-Bezier problem.A new energy functional called weak-area functional is proposed as the objective functional to obtain the approximate minimal Bezier surface from given boundaries.This functional is constructed based on Dirichlet energy and weak isothermal parameterization condition.Experimental comparisons of the weak-area functional method with existing Dirichlet,quasi-harmonic,the strain energy-minimizing,harmonic and biharmonic masks are performed which show that the weak-area functional method are among the best by choosing appropriate parameters.

Cycling Attacks against Homomorphic Cryptosystems

We study security of some homomorphic cryptosysterns with similar algebraic structure. It is found out that those cryptosystems have special common properties. Based on these properties, we pose two cycling attacks and point out some parameters under which the attacks are efficient. It is verified that randomly selected parameters almost impossibly submit to such attacks. Anyhow, two effective methods are given to construct weak parameters for certain homomorphic cryptosystems, and two moduli over 1 024 bits computed by them are shown to be vulnerable to our cycling attacks. It is concluded that strong primes should be used to avert weak parameters.

Test for autocorrelation change in discretely observed Ornstein-Uhlenbeck processes driven by Lévy processes

In this paper, we consider the problem of testing for an autocorrelation change in discretely observed Ornstein-Uhlenbeck processes driven by Levy processes. For a test, we propose a class of test statistics constructed by an iterated cumulative sums of squares of the difference between two adjacent observations. It is shown that each of the test statistics weakly converges to the supremum of the square of a Brownian bridge. The test statistics are evaluated by some empirical results.