Uvod v kompleksna števila python: Kompleksna števila v Pythonu | 1. sklop (uvod) Nekatere pomembnejše funkcije in konstante so obravnavane v tem članku. Operacije s kompleksnimi števili : 1. exp() :- Ta funkcija vrne eksponent kompleksnega števila, omenjenega v njegovem argumentu. 2. log(xb) :- Ta funkcija vrne logaritemska vrednost x z osnovo 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(z10)) 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() :- Ta funkcija vrne log osnova 10 kompleksnega števila. 4. sqrt() :- To izračuna kvadratni koren 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. isfinite() :- Vrne res, če sta resnični in imaginarni del kompleksnega števila so končno else vrne false. 6. Zate() :- Vrne res, če je resničen ali namišljen del kompleksnega števila je/so neskončno else vrne false. 7. isnan() :- Vrne true if realni ali imaginarni del kompleksnega števila je 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(xy); # converting x and a into complex number w = complex(xa); # converting x and b into complex number v = complex(xb); # 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 NaN
Konstante V modulu cmath sta definirani dve konstanti 'pi' ki vrne številsko vrednost pi. Drugi je 'in' 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 : 2.718281828459045
Kompleksna števila v Pythonu | 3. sklop (trigonometrične in hiperbolične funkcije)