These objects are expanded using : (a+b)² = a² + 2ab + b², (a-b)² = a² -2ab + b² and (a+b)(a-b) = a² - b² This object is a Product of two Sums but won't be displayed as is in the case of (a+b)² and (a-b)². More...

Inheritance diagram for core.base_calculus.BinomialIdentity:

Public Member Functions
def	__init__
	Constructor.
def	get_a
	Gets the 'a' term of the BinomialIdentity.
def	get_b
	Gets the 'b' term of the BinomialIdentity.
def	get_kind
	Gets the kind of BinomialIdentity it is.
def	into_str
	Creates a string of the given object in the given ML.
def	expand
	The expanded object, like (2x+3)² would return (2x)²+2×2x×3+3²
def	expand_and_reduce_next_step
	Returns the next step of reduction of the BinomialIdentity.
Public Attributes
	str_openmark
	str_closemark
Properties
	a
	b
	kind

Detailed Description

These objects are expanded using : (a+b)² = a² + 2ab + b², (a-b)² = a² -2ab + b² and (a+b)(a-b) = a² - b² This object is a Product of two Sums but won't be displayed as is in the case of (a+b)² and (a-b)².

For instance, (3x-2)(3x-2) will be displayed (3x-2)². It would be complicated to derive BinomialIdentity from a Sum since a Sum isn't expandable. Let it derive simultaneously from Sum and Expandable could create problems when calling the into_str function (which of the Sum's or the Product's would be called ?).

Definition at line 8489 of file base_calculus.py.

Constructor & Destructor Documentation

def core.base_calculus.BinomialIdentity.__init__	(	self,
		arg,
		options
	)

Constructor.

Parameters:

arg	(Exponented, Exponented)\|(RANDOMLY, <type>) Types details : sum_square : matches (a+b)² difference_square : matches (a-b)² squares_difference : matches (a+b)(a-b) (name comes from a²-b²) any : matches any of (a+b)², (a-b)², (-a+b)², (-a-b)², (a+b)(a-b)... numeric_* : matches a numeric one...
options	squares_difference Options details : in the case of arg being (Exponented, Exponented), squares_difference let produce a (a+b)(a-b) from the given Exponenteds instead of a default (a+b)²

Warning:: Might raise an UncompatibleType exception.

Todo:: fix the square_difference option (see source code)

Reimplemented from core.base_calculus.Expandable.

Definition at line 8512 of file base_calculus.py.

Referenced by core.calculus.Equation.__init__(), and core.root_calculus.Value.substitute().

Member Function Documentation

def core.base_calculus.BinomialIdentity.expand_and_reduce_next_step	(	self,
		options
	)

Returns the next step of reduction of the BinomialIdentity.

Returns:: Exponented

Reimplemented from core.base_calculus.Expandable.

Definition at line 8815 of file base_calculus.py.

References core.base_calculus.Expandable.expand(), and core.base_calculus.BinomialIdentity.expand().

def core.base_calculus.BinomialIdentity.get_a ( self )

Gets the 'a' term of the BinomialIdentity.

Returns:: the content of the 'a' term

Definition at line 8694 of file base_calculus.py.

References core.base_calculus.BinomialIdentity._a.

def core.base_calculus.BinomialIdentity.get_b ( self )

Gets the 'b' term of the BinomialIdentity.

Returns:: the content of the 'b' term

Definition at line 8705 of file base_calculus.py.

References core.base_calculus.BinomialIdentity._b.

def core.base_calculus.BinomialIdentity.get_kind ( self )

Gets the kind of BinomialIdentity it is.

Returns:: 'sum_square'|'difference_square'|'squares_difference'

Definition at line 8716 of file base_calculus.py.

References core.base_calculus.BinomialIdentity._kind.

def core.base_calculus.BinomialIdentity.into_str	(	self,
		options
	)

Creates a string of the given object in the given ML.

Parameters:

options Any options

Returns:: The formated string

Reimplemented from core.base_calculus.Product.

Definition at line 8742 of file base_calculus.py.

References core.base_calculus.BinomialIdentity.a, core.base_calculus.BinomialIdentity.b, core.base_calculus.Product.factor, and core.base_calculus.BinomialIdentity.kind.

Property Documentation

core::base_calculus.BinomialIdentity::a [static]

Initial value:

property(get_a,
                 doc="Gets the 'a' term of the BinomialIdentity")

Definition at line 8722 of file base_calculus.py.

Referenced by core.base_calculus.BinomialIdentity.expand(), and core.base_calculus.BinomialIdentity.into_str().

core::base_calculus.BinomialIdentity::b [static]

Initial value:

property(get_b,
                 doc="Gets the 'b' term of the BinomialIdentity")

Definition at line 8725 of file base_calculus.py.

Referenced by core.base_calculus.BinomialIdentity.expand(), and core.base_calculus.BinomialIdentity.into_str().

core::base_calculus.BinomialIdentity::kind [static]

Initial value:

property(get_kind,
                    doc="kind of BinomialIdentity it, " \
                + "e.g. 'sum_square'|'difference_square'|'squares_difference'"
                   )

Definition at line 8728 of file base_calculus.py.

Referenced by core.base_calculus.BinomialIdentity.expand(), and core.base_calculus.BinomialIdentity.into_str().

The documentation for this class was generated from the following file:

mamk_misc/doc/mathmaker4doxygen/core/base_calculus.py

Public Member Functions

Public Attributes

Properties

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Property Documentation