我先開始吧:
1)
2) 一種不穩定的物質進行radioactive decay。若它在k秒內質量由1變成
3) 絕大部分在現實使用將數字排序(sorting)的算法(algorithm),其運算時間為
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規則:每人只可以列最多三個,但少一些是可以的(就是說你只想到一個,就列一個吧)。
數學資料庫 (http://www.mathdb.org/ 及 http://eng.mathdb.org/)是香港其中一個最大型的數學網站,由一班來自香港各間大學及美國多間大學的數學系、物理系、精算系、建築系、電子工程系的學生建立。數學資料庫旨在於網上提供豐富的數學資源。我們上載了不同種類和數學相關的教學資料,是同學們一個好的參考網站。
6 則留言:
化學:
pH = -log [H+]
物理:
dB = 10*log(I/Io)
黎克特制~
Hyperbolic Geometry:
metric of the half plane
Applied maths:
Logarithmic spiral
Thermodynamics or information theory:
Entropy and Stirling's approximation
Optics:
Optical thickness and skin depth
Astronomy:
Magnitude of stars
(and hence in general,
Stevens' power law)
Palermo Technical Impact Hazard Scale, or Torino Scale
Cartography:
Mercator projection
Accounting or Auditing:
Benford's law
Music:
frequency of pitches
basically whenever you have an exponential, you are associated with a log
P.S.
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^3
play game, u need to read the rule first :)
Prime Number Theorem
number of primes < x ~ x/ln(x)
Fractals
In calculating the fractal dimension by "box dimension"
Thermodynamics/Statistical Mechanics
Boltzmann entropy, von Neumann entropy
(application:Clausius-Clapeyron equation, Chemical Reaction Rate, ...)
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