“唯是”、“唯时”解

对“唯是”的训释长期停留在随文而释上，不符合先秦两汉古汉语的语言实际。本文汇集考证了《左传》、《诗经》、《墨子》、《楚辞》以及《吏记》、《尚书》中的“唯是”、“唯时”的用例，指出：处于句首或句中的“唯是”、“维是”、“惟时，，除极少数用例外，通常是先秦古汉语中有一定使用频率的双音合成词。它是由介宾短语发展凝固成的囚果关联词语，训释时不宜分裂，方是符合语言实际的确解。

SINGLE BIRTH PROCESSES

The single birth process is a Markov chain, either time-continuous or time-discrete, valuedin the non-negative integers: the system jumps with positive rate from k to k + 1 but not tok +j for all j 2 (this explains the meaning of 'single birth') . However, there is no restrictionfor the jumps from k to k - j(1 j< k). This note mainly deals with the uniqueness problemfor the time-continuous processes with an extension: the jumps from k to k + 1 may also beforbidden for at most finite number of k. In both cases (time-continuous or -discrete), thehitting probability and the first moment of the hitting time are also studied

Forward-backward stochastic differential equation with subdifferential operator and associated variational inequality

We study the existence and uniqueness of the solution to a forward-backward stochastic differential equation with subdifferential operator in the backward equation. This kind of equations includes, as a particular case, multi-dimensional forward-backward stochastic differential equation where the backward equation is reflected on the boundary of a closed convex(time-independent) domain. Moreover, we give a probabilistic interpretation for the viscosity solution of a kind of quasilinear variational inequalities.

Transformation in the Form of a Better Life in the New Era and Its Value Guidance

A"better life in the new era,"a proposition unique to 21 st century Marxism,is based on the historical originality of socialism with Chinese characteristics.Along with the transformation of the main contradictions in Chinese society,"a better life in the new era"has become a new life-form.Of course,the new life-form and new development ideas are complementary.On the one hand,the proposition of the new development ideas is based on the transformation of the new life-forms,so the inherent purport of the two is closely related;on the other,the proposition of such ideas will further promote the construction of"a better life in the new era"at the level of practice,and will play a key leading role in the resolution of major social contradictions.Therefore,to comprehensively understand the revolutionary significance of a"better life in the new era"under the guidance of the new development principles,we must gain an intrinsic grasp of the many forms of a"better life in the new era,"including its actors,forms of occurrence,forms of realization and external forms.They have as their theoretical support such concepts as"the people as themain force,the ruling Party as the guide,""transformation of contradictions,integration of supply and demand,""labor orientation,co-creation and sharing,"and"homogeneous ideals extended worldwide."Together,these constitute a unique Chinese style.In the building of socialism with Chinese characteristics,or modernization,only the sublation of"objective[sachlicher]dependence"and adherence to the practical intention of"free individuality"can fulfill the"return"of a"better life in the new era"toward"man himself,"and achieve value guidance for the Chinese road.

Markov selection and W-strong Feller for 3D stochastic primitive equations

This paper studies some analytical properties of weak solutions of 3D stochastic primitive equations with periodic boundary conditions. The martingale problem associated to this model is shown to have a family of solutions satisfying the Markov property, which is achieved by means of an abstract selection principle. The Markov property is crucial to extend the regularity of the transition semigroup from small times to arbitrary times. Thus, under a regular additive noise, every Markov solution is shown to have a property of continuous dependence on initial conditions, which follows from employing the weak-strong uniqueness principle and the Bismut-Elworthy-Li formula.