User:Johnys2/Fruit Algebra

Fruit algebra is a unconventional, symbolic mathematical language invented a by a group of Summer Students at CERN in 2010. It follows the rules of the classic Algebra but substitutes the numbers and the operators with fruits.

It was originally created for fun, but it became quite popular and even acquired its own LaTeX extensions and decoding utility .

Introduction

In fruit algebra the numbers and operators of the classical algebra are just replaced by fruits. The rest of the algebraic rules are the same. Additionally, unless explicitly defined otherwise, the default operator between fruits is multiplication.

Here is a simple example of a fruit algebra expression:

melon apple lemon melon

This translates to: 5 (melon) - (apple) 3 (lemon) * (default operator) 5 (melon) = -10

Language Reference

The following are the symbols used in fruit algebra and their equivalent values:

Numbers and operators

Fruit algebra does not import the full set of numbers from classical algebra. That's because it was designed to be mind challenging. However that doesn't restrict it's functionality since most of the numbers can still be easily derived through multiplication. For example 9 is "lemon lemon", 4 is "tomato watermelon" etc.

Exception on the fruit rule is the number 22 which is represented by a Diamond. That's because of it's high value (compared to the rest of the fruits)

Here is a short list with all the defined numbers and operators

Numbers			Operators
Symbol	Name	Classic Algebra Equivalent	Symbol	Name	Classic Algebra Equivalent
	Lemon	3		Apple	- (Minus)
	Melon	5		Peeled Banana	(
	Tomato	8		Unpeeled Banana	)
	Diamond	22
	Watermelon	0.5

Constants and advanced calculus

The following table contains some predefined constants and some suggested symbols for more elaborate operations.

Symbol	Name	Classic Algebra Equivalent
	Pie	π
	Branch	Power
	Root	Square Root

Division

The division in fruit algebra is a bit different than the rest of the rules. There is no divide operator, but rather a inverse operator. So the only way to perform division is to multiply a value with the other value's inverse.

To invert a value in fruit algebra you use the -th suffix. For example, if you want to invert a melon, you write: melonth (= 1/5).

As a symbol, inversion can be represented with the greek symbol Theta.

Symbol	Name	Classic Algebra Equivalent
θ	-th	1/x