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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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Some new results on statistical properties of wind waves
TL;DR: In this paper, it was shown that for wind waves modelled by a stationary Gaussian process ζ(t) (ζ = height above m.w.l. of one point of the free surface) it is possible to find analytically the characteristic periods of the highest waves in a sea with a given energy spectrum.
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On the ultimate sensitivity and practical performance of radiation detectors.
TL;DR: It is found that Clark Jones’ method, suitably interpreted, is a useful approximation in most practical cases giving the ultimate sensitivity throughout the region of the electromagnetic spectrum in which the limit is set by temperature radiation.
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The Complex Zeros of Random Polynomials
Larry Shepp,Robert J. Vanderbei +1 more
TL;DR: In this paper, Kac gave an explicit formula for the expected number of zeros in any measurable subset Q of the complex plane C, where hn is an explicit intensity function and hn's mass lies close to, and is uniformly distributed around, the unit circle.
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Chaotic diffusion in the Solar System
TL;DR: Ito and Tanikawa as mentioned in this paper performed a statistical analysis over more than 1001 different integrations of the secular equations over 5 Gyr and obtained that the probability of the eccentricity of Mercury to increase beyond 0.6 in 5Gyr is about 1 to 2%, which is relatively large.
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Zero-crossings in turbulent signals
TL;DR: In this article, a systematic study of the various factors involved in zero-crossing measurements is presented, which shows that the dynamic range of the signal, the discriminator characteristics, filter frequency and noise contamination have a strong bearing on the results obtained.