User:PAR
Subjects I'm working on Wikipedia:Writing better articles
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 References {{note_labelWood1992}} {{ref_harvardWood1992Wood, 1992}}
 References <ref name="???">reference</ref>,<ref name="???"/>,<references/>,{{rpp.103}}
 References (Harvard with pages)
<ref name="Rybicki 1979 22">{{harvnbRybickiLightman1979p=22}}</ref> ==References== {{Reflist# of columns}} === Bibliography === {{ref begin}} *{{Cite booketc ref=harv}} {{ref end}}
 History of Wayne, NY
 Australian Trilobite Jump table
 RGB
 
 Pigmentloss color blindness
 Peach
 Work7
 Work8
 Work9
 Work10
 Elastic Moduli
 Principle of maximum entropy
 Principle of maximum work
 Principle of minimum energy
 Minimum total potential energy principle
 Template talk:probability distribution#Status of usage
 Template talk:Prettytable and MediaWiki talk:Common.css
 verify μ is mode of Levy distribution
 Combine Heavy tail distribution and Long tail
 Mutationselection balance  Quasispecies model  http://www.biomedcentral.com/14712148/5/44
Thermodynamics
Chisquared distributions
distribution  
scaleinversechisquared distribution  
inversechisquared distribution 1  
inversechisquared distribution 2  
inverse gamma distribution  
Levy distribution 
Heavy tail distributions
Heavy tail distributions
Distribution  character  
Levy skew alphastable distribution  continuous, stable  
Cauchy distribution  continuous, stable  
Voigt distribution  continuous  
Levy distribution  continuous, stable  
scaleinversechisquared distribution  continuous  
inversechisquared distribution  continuous  
inverse gamma distribution  continuous  
Pareto distribution  continuous  
Zipf's law  discrete  
ZipfMandelbrot law  discrete  
Zeta distribution  discrete  
Student's tdistribution  continuous  
YuleSimon distribution  discrete  
? distribution  continuous  
Lognormal distribution???  continuous  
Weibull distribution???  ?  
Gammaexponential distribution???  ? 
Statistical Mechanics
Maxwell Boltzmann  BoseEinstein  FermiDirac  

Particle  Boson  Fermion  
Statistics 
Partition function  
Statistics 
MaxwellBoltzmann statistics 
BoseEinstein statistics  FermiDirac statistics 
ThomasFermi approximation 
gas in a box gas in a harmonic trap  
Gas  Ideal gas 
Bose gas 

Chemical Equilibrium 
Classical Chemical equilibrium 
Others:
Continuum mechanics
Work pages
To fix:
 Degenerate distribution
 FermiDirac statistics  not continuous, necessarily
 Bose gas (derive critical temperature)
 Spectral densitySPD Cat:Physics = Power spectrumCat:signal processing
(subtract mean)  (no subtract mean) 
Covariance  Correlation 
Cross covariance  Cross correlation see ext 
Autocovariance  Autocorrelation 
Covariance matrix  Correlation matrix 
Estimation of covariance matrices 
Proof: Introduce an additional heat reservoir at an arbitrary temperature T_{0}, as well as N cycles with the following property: the jth such cycle operates between the T_{0} reservoir and the T_{j} reservoir, transferring energy dQ_{j} to the latter. From the above definition of temperature, the energy extracted from the T_{0} reservoir by the jth cycle is
Now consider one cycle of the heat engine, accompanied by one cycle of each of the smaller cycles. At the end of this process, each of the N reservoirs have zero net energy loss (since the energy extracted by the engine is replaced by the smaller cycles), and the heat engine has done an amount of work equal to the energy extracted from the T_{0} reservoir,
If this quantity is positive, this process would be a perpetual motion machine of the second kind, which is impossible. Thus,
Now repeat the above argument for the reverse cycle. The result is
In mathematics, it is often desireable to express a functional relationship as a different function, whose argument is the derivative of f , rather than x . If we let y=df/dx be the argument of this new function, then this new function is written and is called the Legendre transform of the original function.
 Random variable
 Random sequence
 Random number
 Pseudorandom number generator
 STOCHASTIC PROCESS
 Time series
 Stationary process
 Category:Random numbers
 Category:Stochastic processes
 Category:Noise
 Category:Statistics
 Category:Probability theory</nowiki>
References
 ↑ {{#invoke:Citation/CS1citation CitationClass=journal }} A necessary condition for Planck's law to hold is that the photon number is not conserved, implying that the chemical potential of the photons is zero. While this may be unavoidably true on very long timescales, there are many practical cases that are dealt with by assuming a nonzero chemical potential, which yields an equilibrium distribution which is not Planckian.