Python Math library and Random Library

1. Math Library

1>>> fromMathImport*2>>>Pi36.2831853071795864>>>e52.7182818284590456>>> Ceil (2.3)738>>> Floor (2.3)92Ten>>> Pow (2,3) One8.0 A>>>log (E) -1.0 ->>> log10 (100) the2.0 ->>> sqrt (16) -4.0

1>>> fromMathImport*2>>> exp (2)37.389056098930654>>> e**257.38905609893064956>>>degrees (PI)7180.08>>> radians (120)92.0943951023931953Ten>>> Sin (pi/2) One1.0 A>>> cos (PI/3) -0.5000000000000001 ->>> Tan (Pi/4) the0.9999999999999999 ->>> Atan (1) -0.7853981633974483 ->>> ASIN (1) +1.5707963267948966 ->>> ACOs (1) +0.0

2. Random Library

1  fromRandomImport*2>>>random ()30.66066489378874784>>> Uniform (1,10)58.3168374234199216>>> Randint (1,10)758>>> Randrange (0,10,2)94Ten>>> Randrange (0,10,2) One8 A>>> Randrange (0,10,2) -6 ->>> Randrange (0,10,2) the 0 ->>> ra=[0,1,2,3,4,5,6,7,8,9] ->>>Choice (RA) -1 +>>>Shuffle (RA) ->>>RA +[0, 2, 3, 9, 7, 8, 5, 6, 1, 4] A>>> Sample (ra,4) at[1, 8, 5, 9]

3. Random seeds

1>>> Seed (10)2>>>random ()30.57140259468991354>>>random ()50.42888905467511466>>>random ()70.57809130113447048>>> seed (1)9>>>random ()Ten0.13436424411240122 One>>>random () A0.8474337369372327 ->>> Seed (10) ->>>random () the0.5714025946899135 ->>>random () -0.4288890546751146 ->>>random () +0.5780913011344704

It can be seen that pseudo-random numbers are generated by random seeds.

4. Monte Carlo (Monte Carlo) method

also known as random sampling or statistics test method. When the problem solved is the probability of an event, or the expected value of a random variable, it can be solved by some kind of "experiment" method.  to put it simply, Monte Carlo is a method of solving problems by using random experiments.

the IPO of the π calculation problem is as follows:

Input: Number of throw points

processing: For each scatter point, calculate the distance from the point to the center, via Distance determines whether the point is within a circle or outside the circle. Count the number of points within a circle

output: π value

1  fromMathImportsqrt2  fromRandomImportRandom3  fromTimeImportClock#Time Library4 5darts=150000#number of throws6Hits=0#Hit Count7 clock ()8  forIinchRange (Darts):9X,y=random (), Random ()#Synchronous AssignmentTen     ifsqrt ((x**2+y**2)) <=1: OneHits=hits+1 Apai=4*hits/Darts - Print("The value of pi is:%f"%Pai) - Print("program run time%s s"%clock ())

Python Math library and Random Library