tag:blogger.com,1999:blog-2237906900456925233.post3117908070414883435..comments2023-10-18T23:36:58.396+08:00Comments on 數學資料庫手記: Log Is EverywhereMathDBhttp://www.blogger.com/profile/18353093974880979999noreply@blogger.comBlogger6125tag:blogger.com,1999:blog-2237906900456925233.post-76113138526708760992009-12-27T13:13:14.192+08:002009-12-27T13:13:14.192+08:00Prime Number Theorem
number of primes < x ~ x/...Prime Number Theorem<br />number of primes < x ~ x/ln(x)<br /><br />Fractals<br />In calculating the fractal dimension by "box dimension"<br /><br />Thermodynamics/Statistical Mechanics<br />Boltzmann entropy, von Neumann entropy<br />(application:Clausius-Clapeyron equation, Chemical Reaction Rate, ...)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-2237906900456925233.post-12185962337831048802009-11-28T12:38:23.438+08:002009-11-28T12:38:23.438+08:00play game, u need to read the rule first :)play game, u need to read the rule first :)Pophttps://www.blogger.com/profile/17406316084081487132noreply@blogger.comtag:blogger.com,1999:blog-2237906900456925233.post-37870926433411189062009-11-27T18:31:22.924+08:002009-11-27T18:31:22.924+08:00Hyperbolic Geometry:
metric of the half plane
App...Hyperbolic Geometry:<br />metric of the half plane<br /><br />Applied maths:<br />Logarithmic spiral<br /><br />Thermodynamics or information theory:<br />Entropy and Stirling's approximation<br /><br />Optics:<br />Optical thickness and skin depth<br /><br />Astronomy:<br />Magnitude of stars<br />(and hence in general,<br />Stevens' power law)<br />Palermo Technical Impact Hazard Scale, or Torino Scale<br /><br />Cartography:<br />Mercator projection<br /><br />Accounting or Auditing:<br />Benford's law<br /><br />Music:<br />frequency of pitches<br /><br />basically whenever you have an exponential, you are associated with a log<br /><br />P.S.<br />There's a matrix inversion method described in Numerical Recipe. The computational cost of which scales as N^{log_2 7}, compare to LU in N^3tobywhchenghttps://www.blogger.com/profile/03409040211628839258noreply@blogger.comtag:blogger.com,1999:blog-2237906900456925233.post-26740472943449059212009-11-27T16:15:28.887+08:002009-11-27T16:15:28.887+08:00黎克特制~黎克特制~Marcohttps://www.blogger.com/profile/04632526355171968456noreply@blogger.comtag:blogger.com,1999:blog-2237906900456925233.post-73517743930439047032009-11-27T14:46:45.889+08:002009-11-27T14:46:45.889+08:00物理:
dB = 10*log(I/Io)物理:<br />dB = 10*log(I/Io)Pophttps://www.blogger.com/profile/17406316084081487132noreply@blogger.comtag:blogger.com,1999:blog-2237906900456925233.post-63559464529784112302009-11-27T14:27:38.009+08:002009-11-27T14:27:38.009+08:00化學:
pH = -log [H+]化學:<br />pH = -log [H+]Pophttps://www.blogger.com/profile/17406316084081487132noreply@blogger.com