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laws
Strong laws for α=mixing sequence processes indexed by sets
      
Finally, other probability laws relating to risk are determined based on the probabilities mentioned above.
      
Convergence rates in the strong laws of asymptotically negatively associated random fields
      
Convergence rates in the strong laws for a class of dependent random fields
      
By using a Rosenthal type inequality established in this paper, the complete convergence rates in the strong laws for a class of dependent random fields are discussed.
      
Hamiltonian structure and infinite number of conservation laws for the coupled discrete KdV equations
      
Furthermore, an infinite number of conservation laws are shown explicitly by direct computation.
      
A strong approximation of μ* by the local time for Wiener process is presented and the limsup-type and liminf-type laws of iterated logarithm of the maximum local time μ* are obtained.
      
By using this inequality the complete convergence rates in the strong laws for a class of dependent random variables for weighted sums are discussed.
      
Its design is based on the inherent forest growth laws, and its parameters are estimated by modern regression methods.
      
Initiation and propagation laws of the glass cracks in specimens subjected to normal loading under the action of symmetric wedge
      
To improve the machining precision of part surfaces and to facilitate tool design and cutting parameter selection, the initiation and propagation laws of glass cracks in specimens subjected to normal loading by symmetric wedges were investigated.
      
Research results show that initiation and propagation laws are the same with interior symmetric wedge angles of 30°-120°, while the laws are different with interior symmetric wedge angles equal to or more than ≥150°.
      
Moreover, some interesting scaling laws are presented for field energy via numerical approaches.
      
Based on the formalized model, a set of algebraic laws is investigated, including traditional laws and BPEL featured laws.
      
It was demonstrated that simulation of thermal aging of canned fish on the basis of on the laws of chemical kinetics may be used for predicting quality changes and determining shelf life.
      
In doing so, all of the existing formulations of the problem for linear systems which make use of both regular and irregular control laws were encompassed.
      
For all these logical algebras, main laws are formulated and their similarity to and distinction from the laws of the continuous logic are described.
      
In doing so, problems using both the regular and nonregular (with nonreversible precompensator) control laws were encompassed.
      
The generally nonformalizable dependence of the structure of controller class on the choice of the precompensator was shown to be the basic distinction of the nonregular laws.
      
 

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