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Topic: Reverse Polish notation

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	PlanetMath: reverse Polish notation
		Invented by Australian philosopher Charles Hamblin, reverse Polish notation requires that the number of operands of a given operator be defined in advance.
		Reverse Polish notation is particularly advantageous for stack-based programming languages like Forth and Adobe PostScript.
		This is version 3 of reverse Polish notation, born on 2006-08-14, modified 2006-11-10.
	planetmath.org /encyclopedia/ReversePolishNotation2.html (327 words)

	Reverse Polish Notation
		Polish notation was described in the 1920s by Polish mathematician Jan Lukasiewicz as a logical system for the specification of mathematical equations without parentheses.
		Equation with parenthesis (1 + 2) * 3 Prefix notation * 3 + 1 2 or * + 1 2 3 Postfix notation 1 2 + 3 * or 3 1 2 + *
		The basic reverse Polish calculator algorithm is to key in a number.
	users.ece.gatech.edu /~mleach/revpol (1173 words)

	Reverse Polish notation - Wikipedia, the free encyclopedia
		Reverse Polish notation (RPN), also known as postfix notation, was invented by Australian philosopher and computer scientist Charles Hamblin in the mid-1950s, to enable zero-address memory stores.
		It is derived from the Polish notation, which was introduced in 1920 by the Polish mathematician Jan Łukasiewicz.
		To do this, act like you are solving the RPN expression, however, whenever you come to a variable its value is null, and whenever an operator has a null value, it and its parameters are written to the output (this is a simplification, problems arise when the parameters are operators).
	en.wikipedia.org /wiki/Reverse_Polish_Notation (1306 words)

	Polish notation - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-19)
		Polish notation, also known as prefix notation, is a form of notation for logic, arithmetic, and algebra.
		Polish notation has seen wide application in Lisp s-expressions, where the brackets are required due to the arithmetic operators having variable arity.
		Polish notation is especially popular with stack-based due to its innate ability to easily distinguish order of operations without the need for parentheses.
	www.sciencedaily.com /encyclopedia/polish_notation (756 words)

	Reverse Polish notation (Site not responding. Last check: 2007-10-19)
		Reverse Polish notation (RPN) (aka postfix notation) is an arithmetic formula notation, derivedfrom the polish notation introduced in 1920 by the Polish mathematician Jan Łukasiewicz.
		RPN was invented by Australian philosopher and computer scientist Charles Hamblin in themid- 1950s, to enable zero-address memory stores.
		As a user interface for calculation the notation was first used in Hewlett-Packard 's desktop calculators from the late 1960s and thenin the HP-35 handheld scientific calculator launched in 1972.
	www.therfcc.org /reverse-polish-notation-49372.html (298 words)

	[No title] (Site not responding. Last check: 2007-10-19)
		One interesting but rather unusual convention is "Polish notation", where one omits all parentheses, and writes ∧, ∨, and so on in front of their arguments rather than between them.
		Polish notation is compact and elegant, but rare because it is hard for humans to read it.
		This notation is also called postfix notation because the operator is placed after its operands, as opposed to the more common infix notation where the operator is placed between its operands.
	www.worldhistory.com /wiki/P/Polish-notation.htm (509 words)

	Reverse Polish Notation
		Prefix notation is known as Polish Notation after the nationality of Lukasiewicz.
		Similarly, postfix notation is known as Reverse Polish Notation (RPN).
		RPN is easily implemented in a computer since it can be performed using a data structure called a stack.
	home.att.net /~srschmitt/reversepolish.html (491 words)

	RPN
		Prefix notation also came to be known as Polish Notation in honor of Lukasiewicz.
		HP adjusted the postfix notation for a calculator keyboard, added a stack to hold the operands and functions to reorder the stack.
		The beauty of RPN is that this model extends to arbitrarily complex expressions without parentheses and precedence rules.
	www.hpmuseum.org /rpn.htm (1759 words)

	Polish notation: Facts and details from Encyclopedia Topic (Site not responding. Last check: 2007-10-19)
		Polish notation is not limited to only two values, EHandler: no quick summary.
		Infix notation is the arithmetic formula notation known to most people, in which operators are written infix-style between the operands they act on....
		Bra-ket notation is the standard notation for describing quantum states in the theory of quantum mechanics....
	www.absoluteastronomy.com /encyclopedia/p/po/polish_notation.htm (732 words)

	Reverse Polish notation (Site not responding. Last check: 2007-10-19)
		In RPN the operands precede the operator thus dispensing with the need for For example the expression 3 * (+ 7) would be written as 3 7 + * and done on an calculator as "3" "Enter" "4" "Enter" "7" "*".
		Implementations of RPN are stack -based; that is operands are popped from stack and calculation results are pushed back it.
		Although this concept may seem obscure first RPN has the advantage of being easy and therefore fast for a computer analyze due to it being a regular grammar.
	www.freeglossary.com /RPN (1038 words)

	Reverse Polish Notation (Site not responding. Last check: 2007-10-19)
		RPN is an acronym that was created by Hewlett-Packard in the early 70s.
		The acronym stands for Reverse Polish Notation, HP's name for the postfix form of Polish Notation, first proposed by Jan Lukasiewicz in the 1920s.
		Postfix notation might look pretty confusing when it's written, but you won't be writing it.
	www.ittybittycomputer.com /rpn.html (416 words)

	Reverse Polish Notation (Site not responding. Last check: 2007-10-19)
		Reverse Polish Notation is a way of expressing arithmetic expressions that avoids the use of brackets to define priorities for evaluation of operators.
		In RPN, the numbers and operators are listed one after another, and an operator always acts on the most recent numbers in the list.
		Polish Notation was devised by the Polish philosopher and mathematician Jan Lucasiewicz (1878-1956) for use in symbolic logic.
	www-stone.ch.cam.ac.uk /documentation/rrf/rpn.html (291 words)

	GameDev.net - Understanding Reverse Polish Notation (Site not responding. Last check: 2007-10-19)
		The conventional mathematical notation we learned in high school is known as "Algebraic Notation." In this notation, the operators are placed either between or in front of the arguments.
		This method is known as Reverse Polish Notation, or RPN, in honor of the original method.
		RPN, like Polish Notation, is unambiguous: the order and only the order of arguments and operators will determine the result.
	www.gamedev.net /reference/articles/article430.asp (1179 words)

	NationMaster - Encyclopedia: Reverse Polish Notation (Site not responding. Last check: 2007-10-19)
		In mathematics, an operator is a function that performs some sort of operation on a number, variable, or function.
		Infix notation is the common arithmetic and logical formula notation, in which operators are written infix-style between the operands they act on (e.
		In linguistic typology, subject-verb-object (SVO) is the sequence subject verb object in neutral expressions: Sam ate oranges.
	www.nationmaster.com /encyclopedia/Reverse-Polish-Notation (2409 words)

	RPN, An Introduction To Reverse Polish Notation
		Reverse Polish Notation was developed in 1920 by Jan Lukasiewicz as a way to write a mathematical expression without using parentheses and brackets.
		RPN is logical because the user first gives the number and then tells what to do with it.
		RPN keeps a record of calculations by placing them in a stack(2).
	h41111.www4.hp.com /calculators/ie/en/articles/rpn.html (698 words)

	HP calculators / RPN, An Introduction to Reverse Polish Notation
		Reverse Polish Notation was developed in 1920 by Jan Lukasiewicz as a way to write a mathematical expression without using parentheses and brackets.
		RPN is logical because the user first gives the number and then tells what to do with it.
		RPN keeps a record of calculations by placing them in a stack(2).
	www.hp.com /calculators/news/rpn.html (719 words)

	RPN - Reverse Polish Notation
		Polish Notation was invented in the 1920's by Polish mathematician Jan Lukasiewicz, who showed that by writing operators in front of their operands, instead of between them, brackets were made unnecessary.
		Although Polish Notation was developed for use in the fairly esoteric field of symbolic logic, Lukasiewicz noted that it could also be applied to arithmetic.
		On most RPN calculators this is called the "Enter" key and fulfills a similar function to an equals key on a conventional calculator but in reverse.
	www.calculator.org /rpn.html (830 words)

	What is Polish notation? - a definition from Whatis.com - see also: Polish logic, prefix notation, postfix notation
		Polish notation, also known as prefix notation, is a symbolic logic invented by Polish mathematician Jan Lukasiewicz in the 1920's.
		In Polish notation, the order (and only the order) of operations and operands determines the result, making parentheses unnecessary.
		Reverse Polish notation provided a straightforward solution for calculator or computer software mathematics because it treats the instructions (operators) and the data (operands) as "objects" and processes them in a last-in, first-out (LIFO) basis.
	whatis.techtarget.com /definition/0,,sid9_gci824619,00.html (495 words)

	Reverse polish notation (Site not responding. Last check: 2007-10-19)
		RPN is an acronym for reverse Polish notation, which describes the method usedto enter operators and operands.
		It should be noted that "Reverse Polish Notation" is named in honor of the.Japanese is like reverse polish notation too.
		The first example is that of a simple double-precision "reverse polish notation"calculator (a calculator using postfix operators)..
	www.worldautoinsurance.com /reverse-polish-notation.html (271 words)

	RPN or DAL?
		RPN required only 9 keystrokes instead of the 11 required by a standard calculator.
		The RPN method, however, proved to be successful not only from the point of view of chip design efficiency but also from the point of view of human operation.
		More over, non-HP scientific calculators, such as the ones manufactured by Texas Instruments, relied on the algebraic model for their data-entry by providing parentheses as part of the keyboard, at the beginning that imposed limitations on the number of nested levels that could be handled, but these limitations started to disappear as new models arrived.
	www.xnumber.com /xnumber/rpn_or_adl.htm (860 words)

	RPN Calculator Entry Mode : Educalc.net (Site not responding. Last check: 2007-10-19)
		RPN or Reverse Polish Notation is an efficient data entry method that eliminates the need to enter parentheses in equations, has been a favorite of HP calculator fans for more than 30 years, and it remains alive and well at HP.
		Lukasiewicz was Polish Minister of Education in 1919 and a professor at Warsaw University from 1920 to 1939.
		Lukasiewicz introduced the 'Polish notation' which allowed expressions to be written unambiguously without the use of brackets.
	www.educalc.net /139820.page (860 words)

	Lojban Reference Grammar: Chapter 18 (Site not responding. Last check: 2007-10-19)
		In Lojban, RP notation is always explicitly marked by a “fu'a” at the beginning of the expression; there is no terminator.
		As you can see, it is easy to get lost in the world of reverse Polish notation; on the other hand, it is especially easy for a mechanical listener (who has a deep mental stack and doesn't get lost) to comprehend.
		Likewise, the three-operand version of “gei” appears in reverse Polish as “ge'a gei”, where the “ge'a” effectively merges the 2nd and 3rd operands into a single operand.
	xahlee.org /lojban/hrefgram2/c18-s16.html (461 words)

	Reverse Polish Notation (Site not responding. Last check: 2007-10-19)
		Additional features include the ability to easily switch between Reverse Polish Notation and algebraic mode and undo and backspace buttons.
		All I had to do was un-check Polish, Dutch, French and Slovak...
		Additional features include the ability to easily switch between Reverse Polish Notation(1) and algebraic mode and undo and backspace buttons.
	www.wikiverse.org /reverse-polish-notation (463 words)

	Define Polish notation - a definition from Whatis.com - see also: Polish logic, prefix notation, postfix notation (Site not responding. Last check: 2007-10-19)
		Polish notation, also known as prefix notation, is a symbolic logic invented by Polish mathematician Jan Lukasiewicz in the 1920's.
		In Polish notation, the order (and only the order) of operations and operands determines the result, making parentheses unnecessary.
		Reverse Polish notation provided a straightforward solution for calculator or computer software mathematics because it treats the instructions (operators) and the data (operands) as "objects" and processes them in a last-in, first-out (LIFO) basis.
	searchcio.techtarget.com /sDefinition/0,,sid19_gci824619,00.html (438 words)

	[No title]
		The constrains imposed by syntactical principles of Polish notation should grant planning a high level of preciseness because of the necessity of defining all the functions involved, and putting each of them into an exactly defined place in the string.
		However, as in the old riddle whether the egg or the hen was earlier, the reverse may be true, to wit that it was human intelligence that has brought syntactically organized language.
		This condition is undoubtedly satfisfied by the grammar of Polish notation.
	www.calculemus.org /LogBank/Meetings/Dublin96/marciszewski.txt (1632 words)

	Use Reverse Polish Notation - WannaWiki (Site not responding. Last check: 2007-10-19)
		The Hewlett Packard company soon realized that by using RPN (reverse polish notation) they could save money on circuitry at the expense of a steeper learning curve for the users of their calculators.
		RPN calculators have an enter key to denote the difference between numbers, so in this case each space between the numbers is a hit of the enter key.
		There is a steep learning curve for reverse polish notation, but even the calculators made now usually internalize their input into this form after it is entered.
	www.wannawiki.com /wiki/index.php/Use_Reverse_Polish_Notation (361 words)

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