ARIFATMATH.CO.UK
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Noise and Sum of all Signals - Introduction
http://arifatmath.co.uk/section1.html
This is based on well known statistics used in signal processing called Rice Distributions (or Rayleigh-Rice) that describe the distributions of Signal Noise. (By signal, we mean containing coherent phase structure). The Rice distribution was developed for sonar and radar immediately after The Second World War (named after S. O. Rice, who worked at Bell Labs) and there exists an extensive body of literature on this subject. The RICE distributions contain a Modified I 0. Some features of various graphs an...
Noise and Sum of all Signals - Unprovability of Riemann Hypothesis
http://arifatmath.co.uk/section6.html
Unprovability of Riemann Hypothesis. As a hobbyist mathematician, my interest in RH stems from a seminal paper presented by Professor Berry, at the Royal Society in the late 80’s, in which he shows an amazing agreement between the statistics of the spacings distributions of the roots of zeta on the Critical Lines (re= ) and chaotic billiards. In the Platonic world, the solutions are pure or signal like whereas the physical world introduces an element of ‘noise’. In most problems encountered, the math...
Noise and Sum of all Signals - Discussion
http://arifatmath.co.uk/section8.html
As a convolution of signals, everything maybe reduced to possible combinations of Signal Noise in allowable configurations with effective Signal-to-Noise ratio. As they can't be factored down into smaller integers (otherwise they would eventually be broken down to nothing). Zeta effectively simulates the ensemble of all physical reality, and the reality is itself quantal, although our brains are not consciously aware of this level of reality. The RICE distribution contains a Modified I 0. The cosmologica...
Noise and Sum of all Signals - Level Spacings Distribution
http://arifatmath.co.uk/section3.html
The above curve is the Normalised Maxwell/Boltzmann or Rayleigh 2 distribution; [pdf α 4x. With appropriate normalisation in x ( √(π/√ 2)x1.03). My explanation predicts this using CLT. The thermal distribution is also known as the Maxwell/Boltzmann distribution, which has been extensively researched, by the likes of Jeans in the 1900’s. This is an EXACT. MAXWELL BOLTZMANN DISTRIBUTION = COMPLEX HERMITIAN STATISTICS = LEVEL SPACINGS OF NON-TRIVIAL ZEROS OF ZETA. This is an interesting result.
Noise and Sum of all Signals - Unprovability of Riemann Hypothesis
http://arifatmath.co.uk/section9.html
The Holographic 'Golf ball'. Pdf(R) = (1 tan(R) *MRICE(R), (10.1). Presentation. My presentation material is sited here. Notice that the pixelation appears to blend with the simulation at the lower levels. The Dark Energy Ratio. In my power point presentation slides, notice the spike parameters SNR = 1/4,. Section 1 - Introduction. Section 2 - Central Limit Theorems and ‘LogNormal’ distributions. Section 3 - Level Spacings Distribution. Section 4 - Montgomery/Dyson Curve. Section 5 - The Sonar Analogy.
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Homeopathy Blog
Facial Scrubs from Nuts. Facial Scrub for Oily Skin. INVIGORATING COFFEE BODY SCRUB. Pumpkin, Sugar, and Spice Scrub. Facial Scrubs from Nuts. On February 17, 2009. Grind rind of 1 apple together with rind of 1 big slice of melon and squeeze juice with the help of gauze. Grind glass of any nuts and add to squeezed mass. Put the mixture on the face and keep for 20 minutes. Then take the peeling away with circular stroking, and wash with warm water. Finally clean the face with tonic. Posted in Facial Scrubs.
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