obj::calc::BinomialIdentity Class Reference

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 obj::calc::BinomialIdentity:

List of all members.

Public Member Functions
def	__init__
	Constructor.
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.
def	make_string
	Creates a string of the given object in the given ML.

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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 make_string function (which of the Sum's or the Product's would be called ?).

Definition at line 8557 of file __init__.py.

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Member Function Documentation

def obj::calc::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 obj::calc::Expandable.

Definition at line 8580 of file __init__.py.

def obj::calc::BinomialIdentity::expand_and_reduce_next_step	(		self,
			options
	)

Returns the next step of reduction of the BinomialIdentity.

Returns:

Exponented

Reimplemented from obj::calc::Expandable.

Definition at line 8808 of file __init__.py.

def obj::calc::BinomialIdentity::make_string	(		self,
			markup,
			options
	)

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

Parameters:

	markup	The markup dictionary to use
	options	Any options

Returns:

The formated string

Reimplemented from obj::calc::Product.

Definition at line 8821 of file __init__.py.

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

• mathmaker_dev/obj/calc/__init__.py