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自对偶性
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  self duality
     In this paper, rapid limit of the contact process with long range was studied. By the self duality of the contact process with long range and some estimated formulae about the branching random walk, it was proved that raped limit of the contact process with long range was solution of the following differential equation
     本文讨论长程接触过程的快速搅动极限,利用长程接触过程的自对偶性以及关于分枝随机游动的几个估计式,证明了长程接触过程的快速搅动极限是下列微分方程的解:
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  self-duality
     In this paper, we study quadratic residue (QR) codes over integral ring mod 16 residue class ring Z16, and discuss their algebra properties, including their generator and the self-duality of their extended codes, etc. We also investigate some interesting properties of Z16-QR codes of length 7 under two kinds of Gray maps, and especially study their Lee weight distribution.
     本文研究了整数环模16剩余类环Z16上的二次剩余码,讨论了它们的幂等生成元及其扩展码的自对偶性等代数性质,并研究了码长为7的Z16二次剩余码在两种已有的Gray映射下的有趣性质,尤其是确定了它们的Lee重量分布.
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  “自对偶性”译为未确定词的双语例句
     STATICAL SPHEROSYMMETRICAL SOURCELESS SOLUTION OF SU(2) GAUGE FIELD——THE SELFDUALITY,UNIQUENESS AND THE SELF INDUCED CHARGE CURRENT
     静球对称无外源SU(2)规范场解——其自对偶性、唯一性及自源荷流分析
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     If only the technical inefficiency leads to economic inefficiency,the explicit expression of economic efficiency and allocative efficiency can be obtained by the self-dual property of Cobb-Douglas production function.
     本文在假设经济无效完全是由技术无效造成的前提下,利用Cobb-Douglas生产函数与成本函数的自对偶性,通过分析Cobb-Douglas型技术效率与经济效率之间的关系,得到了分配效率的测算公式.
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     It is shown in this note that a mutual-dual network can be used independently or combining with a self-dual one for the situations as follows:1. The probabilities of components a(?) 1-c, but that of circuit Pn(a) = 1-Pn(c)≤δ is required. 2. There are three states of the circuit to be designed: normel operation, failure-safe, an failure-danger.
     本注记建议在下列情形下适当选用或结合使用自对偶性和互对偶性线路: 1.元件概率a≠1-c,但要求设计线路的概率P_N(a)=1—p_N_N(c)≤δ 2.所设计的线路有正常、故障安全、故障危险三种状态。
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  相似匹配句对
     Since Z.
     Z .
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     After R.
     R.
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     DUALITY IN LINEAR CONTROL SYSTEMS
     线性控制系统的对偶性
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     On the Duality of Electromagnetic Field
     试论电磁场的对偶性
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  self duality
We prove that a ringR has a self duality induced by a leftR-moduleM if and only if its polynomial ringR[x] has a graded self duality induced by a graded leftR[x]-moduleM[x-1].
      
It is also discussed that our duality theorems can be viewed as dynamic generalization of the corresponding (static) symmetric and self duality theorems of minimax nonlinear mixed integer programming.
      
Self duality of the gauge field equations and the cosmological constant
      
Self Duality Equations for Ginzburg-Landau?and Seiberg-Witten Type Functionals?with 6th Order Potentials
      
Finally we prove self duality for systems with no transient states.
      
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  self-duality
For cones in Hilbert spaces, regularity is equivalent to self-duality
      
The calculations are performed for several values of S and Δ ≡ J'/J independently by using the phenomenological renormalization-group method or (approximate) self-duality.
      
The discrete self-duality (or self-duality by Legendre transformation) amounts to a weaker reflection symmetry of E.
      
Self-duality equations for spherically symmetric SU(2) gauge fields
      
The self-duality equations are written and it is shown that they are compatible with the Einstein-Yang-Mills equations.
      
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Moore & Shannon presented the redundancy method for construction of reliable circuits from less reliable relays. They considered the design of these circuits by composing a self- dual network with itself a sufficient number of times. It is shown in this note that a mutual-dual network can be used independently or combining with a self-dual one for the situations as follows:1. The probabilities of components a(?)1-c, but that of circuit Pn(a) = 1-Pn(c)≤δ is required.2. There are three states of the circuit to...

Moore & Shannon presented the redundancy method for construction of reliable circuits from less reliable relays. They considered the design of these circuits by composing a self- dual network with itself a sufficient number of times. It is shown in this note that a mutual-dual network can be used independently or combining with a self-dual one for the situations as follows:1. The probabilities of components a(?)1-c, but that of circuit Pn(a) = 1-Pn(c)≤δ is required.2. There are three states of the circuit to be designed: normel operation, failure-safe, an failure-danger. In this condition, for example, Pn(a)≤δ is required but the requirement for 1-Pn(c)≤δ may be slacked; or 1-Pn(c))≤δ is required but Pn(a) may be slacked.By the proposed method, the total number of components can be further decreased in many cases.

Moore-Shannon提出了用低可靠继电器组成高可靠线路的冗余方法,但只具体考虑了用自对偶性线路进行迭代。本注记建议在下列情形下适当选用或结合使用自对偶性和互对偶性线路: 1.元件概率a≠1-c,但要求设计线路的概率P_N(a)=1—p_N_N(c)≤δ 2.所设计的线路有正常、故障安全、故障危险三种状态。要求p_N(a)≤δ但1—p_N(c)允许放宽;或者要求1—p_N(c)≤δ但p_N(a)允许放宽。用所建议的设计方法可以进一步减少元件总数。

According to Schwarzschild's solution forEinsten's gravitational field equation and classical gaugefield theory, this paper gives the gauge potential fieldstrength of Schwarzschild field. The out-source of the fieldand conservative out-source, self induced source are com-puted. Finally, the reduced condition and the duality areshown.

从Einstein引力场理论的Schwarzschild解出发,根据经典规范场理论构造了Schwarzschild场的规范势、场强,计算了场的外源流、守恒的外源流和自源流,讨论了场的化约条件和自对偶性.

In this paper, rapid limit of the contact process with long range was studied. By the self duality of the contact process with long range and some estimated formulae about the branching random walk, it was proved that raped limit of the contact process with long range was solution of the following differential equation

本文讨论长程接触过程的快速搅动极限,利用长程接触过程的自对偶性以及关于分枝随机游动的几个估计式,证明了长程接触过程的快速搅动极限是下列微分方程的解:

 
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