scholarly journals The Gaussian Surface Area and Noise Sensitivity of Degree-d Polynomial Threshold Functions

2010 ◽  
Author(s):  
Daniel M. Kane
Keyword(s):  
Surface Area ◽  
Noise Sensitivity ◽  
Threshold Functions ◽  
Polynomial Threshold Functions ◽  
Gaussian Surface

scholarly journals Average Sensitivity and Noise Sensitivity of Polynomial Threshold Functions

2014 ◽  
Vol 43 (1) ◽  
pp. 231-253 ◽  
Author(s):  
Ilias Diakonikolas ◽  
Prasad Raghavendra ◽  
Rocco A. Servedio ◽  
Li-Yang Tan
Keyword(s):  
Noise Sensitivity ◽  
Average Sensitivity ◽  
Threshold Functions ◽  
Polynomial Threshold Functions

On the Origin of Four Pi in Physics

2016 ◽  
pp. 3994-4013
Author(s):  
Aaron Hanken
Keyword(s):  
Black Hole ◽  
Surface Area ◽  
Single Particles ◽  
Pythagorean Triples ◽  
Free Particles ◽  
Close Relationship ◽  
Dimensional Parameters ◽  
Gaussian Surface ◽  
Planck Energy ◽  
The Universe

We find the highest symmetry between the fields intrinsic to free particles (free particles having only mass, charge and spin), and show these fields symmetries and their close relationship to force and entropy. The Boltzmann Constant is equal to the natural entropy, in that it is The Planck Energy over The Planck Temperature. This completes a needed symmetry in The Bekenstein-Hawking Entropy. Upon substitution of Planck Units into The Schwarzschild Radius, we find that the mass and radius of any black hole define both the gravitational constant and the natural force. We find that the Gaussian Surface area about a particle is equal to the surface area of an equally massed black hole if we define the gravitational field of that particle to be the quotient of The Planck Force and the particles mass. By these simple substitutions we find that gravity is quantized in units of surface entropy. We also find Pythagorean Triples are resting within the dimensional parameters of Special Relativity, and show this to be the dimensional aspects of single particles observing one another, coupled with the intrinsic Hubble nature of the universe.

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