calculus with dscal

>>>from dscal import calculus

or 

>>>import dscal

>>>expr=dscal.calculus()

This class creates an object upon which you can carry out operations.

Arguments :

• style  :  This is the type of layout of the graphs obtained by plot() and plot3d() methods [ defaults to 'ggplot' style] .

To find the available styles ,

>>>import matplotlib.style 

>>>matplotlib.style.available

• limit  :  This is a list/tuple of length 2 , depicting the domain of graph intended [ defaults to [-10,10] ].

• wrt  :  This refers to variable with respect to which all calculus operations are being carried out.  Default value is 'x' , only other value     allowed is 'y'.

• colormap  :  This argument refers to the color mapping being used for the 3D graph to differentiate between depths of the plotted surface.   To know more about colormaps follow the link here. 

*The above  parameters can be passed at the time of creation of the instance or at the respective method they are related to.

derivative()

This method returns the derivative of the expressions of the associated instance .

Arguments :

• wrt  :  This refers to variable with respect to which all calculus operations are being carried out.  Default value is 'x' , only other value     allowed is 'y'.

Example 

>>> from dscal import calculus

        >>> expr=calculus('secx')

        >>> expr.derivative()

        'sinx/cosx^2'

        >>> 

integral()

This method returns the integration of the expressions of the associated instance .

Arguments :

• wrt  :  This refers to variable with respect to which all calculus operations are being carried out.  Default value is 'x' , only other value     allowed is 'y'.

• interval  :  This is an optional argument . It refers to the domain of definite integral [returning the overall value] . If the argument is not       passed indefinite integral is returned . 

Example

        >>> from dscal import calculus

        >>> expr=calculus('logx')

        >>> expr.integral()

        'x*logx - x'

        >>> expr.integral(interval=[1,10])

        '-9 + 10*log(10)'

        >>> '''

nature()

This method returns a string indicating the nature of the expressions ['increasing' , 'decreasing' or neither of these ]

This method accepts only explicit expressions [contains only variable 'x' ].

Arguments :

• interval  :  This is an optional argument . It refers to the domain . If the argument is not passed expression is checked for real set of          numbers . 

Example

>>> from dscal import calculus

        >>> expr=calculus('x^2+sinx')

        >>> expr.nature()

        'the function is neither increasing nor decreasing.'

        >>> expr.nature(interval=[0,3])

        'the function is neither increasing nor decreasing.'

        >>> 

        >>> expr=calculus('sinx')

        >>> expr.nature()

        'the function is neither increasing nor decreasing.'

        >>> expr.nature(interval=[0,1])

        'increasing function'

        >>> 

factorize()

This method returns the factorized form  of the expression . This method accepts only explicit expressions [contains only variable 'x' ].

Arguments :

• wrt  :  This refers to variable with respect to which all calculus operations are being carried out.  Default value is 'x' , only other value     allowed is 'y'.

Example

>>> from dscal import calculus

        >>> expr=calculus('x^3-1')

        >>> expr.factorize()

        '(x - 1)*(x^2 + x + 1)'

        >>> 

plot()

This method plots the graph for explicit expression(s) on a 2D plane .

Arguments :

• style  :  This is the type of layout of the graphs obtained by plot() and plot3d() methods [ defaults to 'ggplot' style] .

To find the available styles ,

>>>import matplotlib.style 

>>>matplotlib.style.available

• limit  :  This is a list/tuple of length 2 , depicting the domain of graph intended [ defaults to [-10,10] ].

Example #output shown at the bottom

>>> from dscal import calculus

        >>> expr=calculus('sinx')

        >>> expr.plot(limit=[-5,5]) 

        >>> 

plot3d()

This method surface plots the expression(s) in 3D . All expressions are acceptable here [explicit or implicit ]

Arguments :

• style  :  This is the type of layout of the graphs obtained by plot() and plot3d() methods [ defaults to 'ggplot' style] .

To find the available styles ,

>>>import matplotlib.style 

>>>matplotlib.style.available

• limit  :  This is a list/tuple of length 2 , depicting the domain of graph intended [ defaults to [-10,10] ].

• colormap  :  This argument refers to the color mapping being used for the 3D graph to differentiate between depths of the plotted surface.   To know more about colormaps follow the link here. 

Example #output shown at the bottom

>>> from dscal import calculus        

>>> expr=calculus('sinx*cosy')

    >>> expr.plot3d(limit=[-5,5],colormap=plt.cm.hsv) #plt refers to matplotlib.pyplot

Previous issues from 3.2.4 have been resolved.

Here comes a fresh new update to deal with some useful mathematical functions , manipulations etc. Functions defined here are :

'ceil', 'cos', 'cosec', 'cot', 'degrees', 'double_factorial', 'e [euler's constant]', 'factor', 'factorial', 'floor', 'hcf', 'lcm', 'log', 'log10', 'log2', 

'pi [π]', 'prime', 'prime_factorize', 'radians', 'sec', 'sin', 'sub_factorial', 'tan', 'P [permutation]', 'C[combination]'