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     Three Minimum Norm Problems on L_2[O,T]and Their Applications
     L_2[0,T]空间上的三个最小范数问题及其应用
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     Based the concept of Euclidean norm, for two rotational positions represented by 3×3 matrices R 1 and R 2 ,it is shown that matrices [R 2-R 1] and [R 2(R 1) T] lead directly to desirable measures of rotational error . Under particular investigation ,it is made clear that the body's rotational error can be computed most efficiently through directly calculating the Euclidean norm of the matrix difference ΔR=R 2-R 1.
     基于欧氏范数的概念,对于两个3×3的空间转动位置矩阵R1和R2,文章表明矩阵[R2-R1]和[R2(R1)T]都可以直接导出理想的转动误差测度.经过分析可知,通过直接求矩阵ΔR=R2-R1的欧氏范数可以效率较高地算出转动位置误差
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     the polynome of t variables :h_1…,h_t, Especially,K[x_1,…,x_n] the algotithm can determine whether g belonging to subalgebra K[f_1,···,f_t]with itscorresponding representation.
     如果是属于M,该算法同时给出g的表示,即求得t元多项式h_1,…,h_t使.特别当g∈K[x_1,…,x_n]时,该算法能决定g是否属于子代数K[f_1,…,f_t]及相应的表示.
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     In this paper, we discuss design of equivalent normal random variable of structural reliability for strength R ~ N (μ_R, ), stress {s (t), t ∈[0, T]} obey compound non-homogeneous poisson process mod-el.
     讨论强度R~N(μ_R,_R),应力{S(t),t∈[0,T]}为非时齐Poisson过程模型结构可靠性当量正态设计。
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     In this paper, we establish some strong type and weak type boundedness estimates for commutator [b, T] on a new class of Herz-type Hardy space, where b∈ BMO(Rn) and T is a standard Calderón-Zygmund singular integral operator.
     本文证明了交换子[b,T]在一类Herz型Hardy空间中的强型与弱型有界性估计,其中b∈BMO(Rn),T为Calderón-Zygmund奇异积分算子.
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     In this paper we describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem x′(t)=f(t,x(t),x′(t)),t∈ x(0)=x(T), in the presence of an upper solution β and α lower solution α with α≤β .
     本文我们描述了一个构造性方法.在存在一个上解β及下解α且α≤β情形下,得到两个单调序列一致收敛于如下周期边值问题.x′(t)=f(t,x(t),x′(t)),t∈[0,T]x(0)=x(T),{的极值解
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     Abstract In this paper, we consider reaction diffusion equations: (1)\ ddtu-νΔu+λ 0u=-f(u)-g(x)\ \ \ \ \ (x,t)∈R m 0,t (2)\ u| t=0 =u 0 Where u=(u 1,…,u m);
     对反应扩散方程:(1)ddtu-νΔu+λ0u=-f(u)-g(x)(x,t)∈Rm[0,T](2)u|t=0=u0其中u=(u1,…,um);
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     In this article,we prove the subdirect product representation theorem of complete rings of sets and the following result:An induced space (LX,T ) is completely regular  its underlying space (X,[T ]) is comletely regular.
     给出完备集环的次直积表示定理,并由此证得如下结果:诱导空间(LX,T )是完全正则的当且仅当它的底空间(X,[T ])是完全正则空间.
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     In this paper we prove the structure theorem of the derivation algebra for Lie algebra S(n,)of Cartan type with characteristic p=2.The main result is the following:If P=2,n≥4,then Det(S(n, )=ad _(s(n, )(S'(n, )+T) <(adD_i)|1≤s_i≤m_i,1≤i≤n>.
     本文解决了这个问题,证明了当P=2,n≥4时。 Der(S(n,m))=ad_(s(n,m))[S'(n,m)+T]<(adD_i)|1≤S_i≤m_i,1≤S_i≤m_i,1≤i≤n>.
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     Let D be a cone in a real Banach space E,A:D→Dis a accretive mapping ,we provethe existence of the periodic solutions of the following differential equation
     本文使用R.Rakotch的一个不动点定理,证明了Banach空间中微分方程x(t)=A(t,x)+F(t,x)(t∈[0,T],x(0)=x(T)∈D)周期解的存在性。
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We consider 3-parametric polynomialsPμ*(x; q, t, s) which replace theAn-series interpolation Macdonald polynomialsPμ*(x; q, t) for theBCn-type root system.
      
Ass → ∞ the polynomialsPμ*(x; q, t, s) becomePμ*(x; q, t).
      
By a result of Miyanishi, its ring of invariants is isomorphic to ?[t1,t2].
      
Moreover we give some conditions so thatF*(?[t1,...,tn-1]) is the ring of invariants of φ.
      
(X, T \bar{X}) which itself parametrizes T \bar{X} torsors on X.
      
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