By using the algebraic method, we obtain a new formula for the expected hitting time of random walks on strong-connected and aperiodic digrahs (irreducible and aperiodic Markov chain). From this formula, we obtain the explicit expressions for the expected hitting times of random walks on directed de Bruijn graph, directed Kautz graph and some graphs constructed from strong regular graph, etc.

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For illusory border induction in the abutting grating illusion it is 5. 3%.(3) Random-dot stereograms are found to induce depth equally well in both display modes. The disparity threshold for perceiving depth in isochromatic random-dot stereograms levels off at a luminance contrast of 30%.

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Stationary NA sequences; empirical measure; large deviations principle; linear processes; functional law of the iterated logarithm; strong approximations; LPQD sequences; m-dependent random element; precise asymptotics; the central limit theorem for the sum of random number

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First of all, the structural analysis under the action of random loads is carried out and the mean value and variance of all joint's displacement and bar's stress in the structure are obtained by means of three fundamental equations (equilibrium, physical and geometric) in structural mechanics, as well as the property of moment of random variable.

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The law of large numbers for a class of random walks with resting state on line in random environments.

一類隨機環(huán)境中可逗留隨機游動的一個大數定律国产AV激情无码久久小说。

The Hausdorff measure for the level sets of multi-parameter symmetric stable processes has been obtained and the inner connection of the measures and local times for it has been demonstrated, which describes the fractal nature for the level sets of this kind of processes. As we know, it is always one of the focuses in the field of random fractal. The reasult of the existence and continuity of the local time for multi-parameter stochastic processes with stable components has been got in the project. Then we gained the measure for the random fractal sets such as the range and graph of this kind of processes. Furthermore, a progress besides the mentioned above in the project is that we have resolved the multifractal analysis of the sample paths for Brownian sheet, that is the multifractal decomposition of white noise in high dimension.

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Good on a random number generator, including normal, lognormal distribution, uniform distribution of many random distribution...

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Both LDPC codes and OFDM technology are studied in this paper. The working and the results obtained are summarized as follow:1. The definition of LDPC codes and its coding/decoding ideas are systematically summarized, a general algorithm of changing any parity-check matrix to lower triangular form, which is suitable for quick encoding, is given out, along with a girth checking algorithm. Absolutely random LDPC codes construction is improved, a new half random construction of LDPC codes with linear time coding and no 4-cycles is brought out.

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Turing machine, random access machine, primitive recursive, cellular automaton, finite state machine, cell probe model, pointer machine, alternation, alternating Turing machine, nondeterministic Turing machine, oracle Turing machine, probabilistic Turing machine, universal Turing machine, quantum computation, parallel models: multiprocessor model, work-depth model, parallel random-access machine, shared memory.

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As the connection of marginal distribution function, the Copula function may not only reflect the relativity of random variable, but also may describe the random variable's related pattern well. Therefore we may use the different Copula function to describe the different related pattern.

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