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Mathematical Analysis of Random Noise-Conclusion
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This article is published in Bell System Technical Journal.The article was published on 1945-01-01 and is currently open access. It has received 807 citations till now.read more
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On Different Classes of Algebraic Polynomials with Random Coefficients
TL;DR: The expected number of real zeros of the polynomial of the form a0 � a1xa2x 2 � ··· � anx n, where a0,a 1,a 2,...,a n is a sequence of standard Gaussian random variables, is known as mentioned in this paper.
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Atomistic modelling of crack propagation in a randomly rough nano-scale metallic surface
Sh. Behzadi,Hashem Rafii-Tabar +1 more
TL;DR: It is found that as the roughness of the surface increases, the critical stress for the initiation of crack propagation is increased, and the fluctuations in the crack velocity make their appearance sooner.
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Amplitude Probability Distribution of Radio Waves Reflected From Traveling Ionospheric Disturbances
TL;DR: In this paper, the amplitude distributions of reflected radio waves from various portions of the traveling ionospheric disturbances (TID) superimposed on small-scale irregularities, have been studied with the help of simultaneous records of amplitude and phase patterns of vertically reflected echoes.
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Distribution of echo amplitudes from an undulating surface
TL;DR: In this article, the probability P(A)dA of an echo amplitude between A and A + dA is calculated for waves reflected at normal incidence from a reflector whose curvature has a Gaussian distribution centred on zero and standard deviation proportional to a parameter k. The resultant amplitude distributions are discussed in terms of the practical measurement of the absorption of radio waves in the ionosphere.