Nombres complexes en Python | Ensemble 2 (fonctions et constantes importantes)
Introduction aux nombres complexes Python : Nombres complexes en Python | Ensemble 1 (Introduction) Certaines fonctions et constantes plus importantes sont abordées dans cet article. Opérations sur les nombres complexes : 1. exp() :- Cette fonction renvoie le exposant du nombre complexe mentionné dans son argumentation. 2. journal(xb) :- Cette fonction renvoie le valeur logarithmique de x de base b both mentioned in its arguments. If base is not specified natural log of x is returned. Python
# Python code to demonstrate the working of # exp() log() # importing 'cmath' for complex number operations import cmath import math # Initializing real numbers x = 1.0 y = 1.0 # converting x and y into complex number z = complex ( x y ); # printing exponent of complex number print ( 'The exponent of complex number is : ' end = '' ) print ( cmath . exp ( z )) # printing log form of complex number print ( 'The log(base 10) of complex number is : ' end = '' ) print ( cmath . log ( z 10 ))
Output: The exponent of complex number is : (1.4686939399158851+2.2873552871788423j) The log(base 10) of complex number is : (0.15051499783199057+0.3410940884604603j)3. log10() :- Cette fonction renvoie le journal base 10 d'un nombre complexe. 4. sqrt() :- Ceci calcule le racine carrée of a complex number. Python
# Python code to demonstrate the working of # log10() sqrt() # importing 'cmath' for complex number operations import cmath import math # Initializing real numbers x = 1.0 y = 1.0 # converting x and y into complex number z = complex ( x y ); # printing log10 of complex number print ( 'The log10 of complex number is : ' end = '' ) print ( cmath . log10 ( z )) # printing square root form of complex number print ( 'The square root of complex number is : ' end = '' ) print ( cmath . sqrt ( z ))
Output: The log10 of complex number is : (0.15051499783199057+0.3410940884604603j) The square root of complex number is : (1.09868411346781+0.45508986056222733j)5. est fini() :- Retours vrai si partie réelle et imaginaire d'un nombre complexe sont fini sinon renvoie faux. 6. Pour vous() :- Retours vrai si partie réelle ou imaginaire d'un nombre complexe est/sont infini sinon renvoie faux. 7. isnan() :- Renvoie vrai si partie réelle ou imaginaire d'un nombre complexe est NaN else returns false. Python
# Python code to demonstrate the working of # isnan() isinf() isfinite() # importing 'cmath' for complex number operations import cmath import math # Initializing real numbers x = 1.0 y = 1.0 a = math . inf b = math . nan # converting x and y into complex number z = complex ( x y ); # converting x and a into complex number w = complex ( x a ); # converting x and b into complex number v = complex ( x b ); # checking if both numbers are finite if cmath . isfinite ( z ): print ( 'Complex number is finite' ) else : print ( 'Complex number is infinite' ) # checking if either number is/are infinite if cmath . isinf ( w ): print ( 'Complex number is infinite' ) else : print ( 'Complex number is finite' ) # checking if either number is/are infinite if cmath . isnan ( v ): print ( 'Complex number is NaN' ) else : print ( 'Complex number is not NaN' )
Output: Complex number is finite Complex number is infinite Complex number is NaNConstantes Il y a deux constantes définies dans le module cmath 'pi' qui renvoie la valeur numérique de pi. Le deuxième est 'et' which returns the numerical value of exponent. Python
# Python code to demonstrate the working of # pi and e # importing 'cmath' for complex number operations import cmath import math # printing the value of pi print ( 'The value of pi is : ' end = '' ) print ( cmath . pi ) # printing the value of e print ( 'The value of exponent is : ' end = '' ) print ( cmath . e )
Output: The value of pi is : 3.141592653589793 The value of exponent is : 2.718281828459045Nombres complexes en Python | Ensemble 3 (fonctions trigonométriques et hyperboliques)