Can Python be used for mathematical modeling?
In mathematical modeling, most people are using MATLAB, but MATLAB is not an orthodox computer programming language, and it is slow and charges a fee. The most intolerable thing is that the MATLAB editor does not support automatic code completion. Python is a very good choice for mathematical modeling. There are three very famous scientific computing libraries in Python: numpy, scipy and matplotlib. The three basically replace the functions of MATLAB and are fully capable of handling mathematical modeling tasks.
Here are a few examples of python solving mathematical modeling:
Finding the maximum and minimum problem of linear programming problem
max: z = 4x1 + 3x2 st: 2x1 + 3x2<=10 x1 + x2 <=8 x2 <= 7 x1,x2 > 0 from scipy.optimize import linprog c = [4,3] #默认linprog求解的是最小值,若求最大值,此处c取反即可得到最大值的相反数。 A = [[2,3],[1,1]] b = [10,8] x1_bounds = [0,None] x2_bounds =[0,7] res = linprog(c,A,b,bounds=(x1_bounds,x2_bounds))
Related recommendations: "python video tutorial"
Least squares curve fitting of polynomials
import numpy as np import matplotlib.pyplot as plt x = np.arange(1990,1997,1) y = np.array([70 ,122 ,144 ,152, 174, 196, 202]) z1 = ployfit(x,y,1) #之前画过原始数据,数据走向为ax+b类型。故采用一次多项式拟合 p1 = np.ploy1d(z1) yvalue = p1(x) plt.plot(x,y,'*',label = '原始数据') plt.plot(z1,yvalue,label = '拟合曲线') plt.xlabel('x axis') plt.ylabel('y axis') plt.legend(loc = 4 ) plt.tittle('多项式拟合') plt.show()
Equation Find the derivative
from __future__ import print_function from __future__ import division import numpy as np import scipy as sp import scipy.misc def f(x): return 2*x*x + 3*x + 1 print(sp.misc.derivative(f, 2))
Find the indefinite integral
from __future__ import print_function from __future__ import division import numpy as np import scipy as sp import scipy.integrate f = lambda x : x**2 print(sp.integrate.quad(f, 0, 2)) print(sp.integrate.fixed_quad(f, 0, 2))
Solve the nonlinear system of equations
from __future__ import print_function from __future__ import division import numpy as np import scipy as sp import scipy.optimize def f(x): return [5*x[1] + 3, 4*x[0]*x[0], x[1]*x[2] - 1.5] ans = sp.optimize.fsolve(f, [0, 0, 0]) print(ans) print(f(ans))
Solve System of linear equations
from __future__ import print_function from __future__ import division import numpy as np import scipy as sp import matplotlib.pylab as plt import scipy.linalg a = np.array([[1, 3, 5], [2, 5, 1], [2, 3, 8]]) b = np.array([10, 8, 3]) print(sp.linalg.solve(a, b)) # print(sp.linalg.inv(a).dot(b))
The above is the detailed content of Can Python be used for mathematical modeling?. For more information, please follow other related articles on the PHP Chinese website!

Pythonlistscanstoreanydatatype,arraymodulearraysstoreonetype,andNumPyarraysarefornumericalcomputations.1)Listsareversatilebutlessmemory-efficient.2)Arraymodulearraysarememory-efficientforhomogeneousdata.3)NumPyarraysareoptimizedforperformanceinscient

WhenyouattempttostoreavalueofthewrongdatatypeinaPythonarray,you'llencounteraTypeError.Thisisduetothearraymodule'sstricttypeenforcement,whichrequiresallelementstobeofthesametypeasspecifiedbythetypecode.Forperformancereasons,arraysaremoreefficientthanl

Pythonlistsarepartofthestandardlibrary,whilearraysarenot.Listsarebuilt-in,versatile,andusedforstoringcollections,whereasarraysareprovidedbythearraymoduleandlesscommonlyusedduetolimitedfunctionality.

ThescriptisrunningwiththewrongPythonversionduetoincorrectdefaultinterpretersettings.Tofixthis:1)CheckthedefaultPythonversionusingpython--versionorpython3--version.2)Usevirtualenvironmentsbycreatingonewithpython3.9-mvenvmyenv,activatingit,andverifying

Pythonarrayssupportvariousoperations:1)Slicingextractssubsets,2)Appending/Extendingaddselements,3)Insertingplaceselementsatspecificpositions,4)Removingdeleteselements,5)Sorting/Reversingchangesorder,and6)Listcomprehensionscreatenewlistsbasedonexistin

NumPyarraysareessentialforapplicationsrequiringefficientnumericalcomputationsanddatamanipulation.Theyarecrucialindatascience,machinelearning,physics,engineering,andfinanceduetotheirabilitytohandlelarge-scaledataefficiently.Forexample,infinancialanaly

Useanarray.arrayoveralistinPythonwhendealingwithhomogeneousdata,performance-criticalcode,orinterfacingwithCcode.1)HomogeneousData:Arrayssavememorywithtypedelements.2)Performance-CriticalCode:Arraysofferbetterperformancefornumericaloperations.3)Interf

No,notalllistoperationsaresupportedbyarrays,andviceversa.1)Arraysdonotsupportdynamicoperationslikeappendorinsertwithoutresizing,whichimpactsperformance.2)Listsdonotguaranteeconstanttimecomplexityfordirectaccesslikearraysdo.


Hot AI Tools

Undresser.AI Undress
AI-powered app for creating realistic nude photos

AI Clothes Remover
Online AI tool for removing clothes from photos.

Undress AI Tool
Undress images for free

Clothoff.io
AI clothes remover

Video Face Swap
Swap faces in any video effortlessly with our completely free AI face swap tool!

Hot Article

Hot Tools

Dreamweaver CS6
Visual web development tools

SublimeText3 Chinese version
Chinese version, very easy to use

Notepad++7.3.1
Easy-to-use and free code editor

MinGW - Minimalist GNU for Windows
This project is in the process of being migrated to osdn.net/projects/mingw, you can continue to follow us there. MinGW: A native Windows port of the GNU Compiler Collection (GCC), freely distributable import libraries and header files for building native Windows applications; includes extensions to the MSVC runtime to support C99 functionality. All MinGW software can run on 64-bit Windows platforms.

SAP NetWeaver Server Adapter for Eclipse
Integrate Eclipse with SAP NetWeaver application server.
