Python language mathematical function
In this tutorial, we will discuss the Python language mathematical function. Python provides built-in function for mathamatical calculaitions.
Python language mathematical function
Number-theoretic and representation function
1. abs – this is a built -in function in python. We execute it with single argument. abs function returns the absolute value of that argument.
Output
10.7
10.7
35.1
2. fabs – fabs function is used to compute absolute value of any floating point number. If a number contains any negative (-) sign , it removes and returns as a positive number.
Output
10.743
10.745
35.143
3. ceil: This function rounds up to the next highest value of the given value.
Example
Output – 11.0
4. floor: This function rounds down to the next lowest value of the given value.
Example
Output – 10.0
5. factorial function – This function returns the factorial of the positive integer number.
Output
120
24
6
6. fmod function – Function fmod(x,y) returns x%y . But the difference of x%y is preferred when working with integers fmod(x,y) and is used when working with floats.
Output
1.0
2.0
-1.0
-1.3
7. sum function – This function helps to sum up list of values
Output
19.87654
7.87654
8. fsum
9. round function – return the floating point value number rounded to n digits. round is a built-in function.
Syntex
round(number,[ndigits])
Example
Output
(’round this 34.34567,2′, 34.35)
(’round this 34.34567,3′, 34.346)
(’round this 34.34567,4′, 34.3457)
(’round this 34.34567,5′, 34.34567)
10. trunc function – this function returns the truncated integer of x. it defines math module in python.
Syntex
trunc(x)
Example
Output
(‘trunc value of 3.4567:’, 3)
(‘trunc value of 3.4567:’, -3)
(‘trunc value of 3.4567:’, 6)
Power and logarithm function
1. exp() function
Python exp() function returns the exponential value of x with natural base e. It’s equal to math.e** operator/ It is a method of math module.
Syntex
exp(x)
Example
Output
(‘the value of math.e:’, 2.718281828459045)
(‘exp(1) value is:’, 2.718281828459045)
(‘exp(1) value is:’, 7.38905609893065)
(‘exp(1) value is:’, 20.085536923187668)
(‘exp(1) value is:’, 54.598150033144236)
2. log(x) function
Python log|(x,base) function returns the logarithm of x to the given base. If the base is not specified , it returns the natural logarithm of x.
Syntex
log|(x,base)
Example
Output
math.log(100.00): 4.60517018599
math.log(10.00): 2.30258509299
math.log(1.00): 0.0
math.log(math.e): 1.0
3. log10(x) function
Python log10|(x) function returns the base – 10 logarithm of x
Syntex
log|10(x)
Example
Out put
math.log10(2): 0.301029995664
math.log10(5): 2.30258509299
math.log10(1.00): 0.0
math.log10(math.e): 1.0
4. pow() function
Returns the x raised to the power y(X**y)
Syntex
pow(x,y)
Example
Output
The pow()value of(2,3) : 8.0
The pow()value of(3,4) : 81.0
The pow()value of(10,2) : 100.0
The pow()value of(10,10) : 10000000000.0
5. sqrt() function
Returns the x raised to the power y(X**y)
Syntex
sqrt(x)
Example
Angular conversion function
1. degrees() function
Returns the angle x as degrees
Syntex
degrees(x)
Example
Output
The degree of 2 : 114.591559026
The degree of 3 : 171.887338539
The degree of -3 : -171.887338539
The degree of 0 : 0.0
The degree of pi : 180.0
The degree of pi/2 : 90.0
The degree of pi/4 : 45.0
2. radians() function
Returns angle x as radians
Syntex
radians(x)
Example
Output
The radians of 2 : 0.0349065850399
The radians of 3 : 0.0523598775598
The radians of -3 : -0.0523598775598
The radians of 0 : 0.0
The radians of pi : 0.0548311355616
The radians of pi/2 : 0.0274155677808
The radians of pi/4 : 0.0137077838904
Trigonomatric function
1. sin() function
Returns the sine of the x radians
Syntex
sin(x)
Example
Output
The sin of 2 : 0.909297426826
The sin of 3 : 0.14112000806
The sin of -3 : -0.14112000806
The sin of 0 : 0.0
The sin of pi : 1.22464679915e-16
The sin of pi/2 : 1.0
The sin of pi/4 : 0.707106781187
2. cos() function
Returns the cosine of the x radians
Syntex
cos(x)
Example
Output
The cosine of 2 : -0.416146836547
The cosine of 3 : -0.9899924966
The cosine of -3 : -0.9899924966
The cosine of 0 : 1.0
The cosine of pi : -1.0
The cosine of pi/2 : 1.0
3. tan() function
Returns the tangent of the x radians
Syntex
tan(x)
Example
Output
The tangent of 2 : -2.18503986326
The tangent of 3 : -0.142546543074
The tangent of -3 : 0.142546543074
The tangent of 0 : 0.0
The tangent of pi : -1.22464679915e-16
The tangent of pi/2 : 1.63312393532e+16
4. asin() function
Returns the arg sine of the x ,in radians
Syntex
asin(x)
Example
Output
The arg sine of 2 : 0.523598775598
The arg sine of -1 : -1.57079632679
The arg sine of 1 : 1.57079632679
The arg sine of 0 : 0.0
5. acos() function
Returns the arg cosine of the x ,in radians
Syntex
acos(x)
Example
Output
The arg cosine of 2 : 1.0471975512
The arg cosine of -1 : 3.14159265359
The arg cosine of 1 : 0.0
The arg cosine of 0 : 1.57079632679
6. atan() function
Returns the arg cosine of the x ,in radians
Syntex
acos(x)
Example
Output
The arg tangent of 2 : 0.463647609001
The arg tangent of -1 : -0.785398163397
The arg tangent of 1 : 0.785398163397
The arg tangent of 0 : 0.0
The arg tangent of 0 : 1.4711276743
Hyperbolic functions
1. acosh(x) function
Return the inverse hyperbolic cosine of x
Syntex
acosh(x)
Example
Output
acosh value of 1: 0.0
acosh value of 2: 1.31695789692
acosh value of pi/2: 1.02322747855
2. asinh(x)
Return the inverse hyperbolic sine of x
Syntex
asinh(x)
Example
Output
asinh value of 0.5: 0.48121182506
asinh value of 0.65: 0.611224313763
asinh value of 0.85: 0.77123743336
3. atanh(x)
Return the inverse hyperbolic tangent of x
Syntex
atanh(x)
Example
Output
atanh value of 0.5: 0.549306144334
atanh value of 0.65: 0.775298706206
atanh value of 0.85: 1.25615281199
4. cosh(x)
Return the hyperbolic cosine of x
Syntex
cosh(x)
Example
cosh value of 1: 1.54308063482
cosh value of -1: 1.54308063482
cosh value of 2: 3.76219569108
5. sinh(x)
Return the hyperbolic sine of x
Syntex
sinh(x)
Example
sinh value of 1: 1.17520119364
sinh value of -1: -1.17520119364
sinh value of 2: 3.62686040785
6. tanh(x)
Return the hyperbolic tangent of x
Syntex
tanh(x)
Example
Output
tanh value of 1: 0.761594155956
tanh value of -1: -0.761594155956
tanh value of 2: 0.964027580076
