
	Where results make sense

Topic: Boolean

Related Topics

Boolean algebra

Boolean satisfiability problem

list of Boolean algebra topics

Boolean ring

Boolean logic

Boolean prime ideal theorem

Canonical form Boolean algebra

Monadic Boolean algebras

Boolean lattice

boolean circuit

Boolean operator

Complete Boolean algebra

In the News (Wed 8 Oct 08)

Breast Cancer

Golden Circle

Keating Five

Stephen Harper

Eli Lilly

Nobel Prize

Eli Manning

Josh Beckett

Sage Rosenfels

South Ossetia

	PlanetMath: Boolean lattice (Site not responding. Last check: 2007-11-07)
		Given a set, any collection of subsets that is closed under unions, intersections, and complements is a Boolean algebra.
		Boolean rings (with identity, but allowing 0=1) are equivalent to Boolean lattices.
		This is version 4 of Boolean lattice, born on 2002-02-24, modified 2004-02-18.
	planetmath.org /encyclopedia/BooleanLattice.html (132 words)

	PlanetMath: Boolean (Site not responding. Last check: 2007-11-07)
		Boolean refers to that which can take on the values “true” or “false,” or that which concerns truth and falsity.
		“Boolean” is named for George Boole, the 19th century mathematician.
		This is version 6 of Boolean, born on 2001-10-26, modified 2004-03-20.
	planetmath.org /encyclopedia/Boolean.html (69 words)

	Boolean algebra
		Other examples of Boolean algebras arise from topological spaces: if X is a topological space, then the collection of all subsets of X which are both open and closed forms a Boolean algebra with the operations = union and = intersection.
		Every Boolean algebra (A,,) gives rise to a ring (A, +, ) by defining a + b = (a ¬b) (b ¬a) (this operation is called "symmetric difference" in the case of sets and XOR in the case of logic) and a b = a b.
		An ideal of the Boolean algebra A is a subset I such that for all x, y in I we have x y in I and for all a in A we have a x in I.
	www.knowledgefun.com /book/b/bo/boolean_algebra.html (1657 words)

	Boolean Algebra (Site not responding. Last check: 2007-11-07)
		Boolean Algebra may operate on practically any kind of set, and when a Boolean equation is "solved", the result is only one of two items: TRUE or NOT TRUE.
		Boolean Algebra is a mathematical tool that can be applied to computer design and to all design of digital circuits and networks.
		Boolean Algebra has a connection with set theory and symbolic logic, other areas of math which help to bring together all of math.
	www.jairosoft.com /intro_math12.htm (2385 words)

	BOOLEAN ALGEBRA (Site not responding. Last check: 2007-11-07)
		BOOLEAN ALGEBRA is a generalization of set algebra and the algebra of propositions.
		Then L is a boolean algebra, where the meet is the conjuction of two propositions; the join is the disjunction of two propositions; the boolean complement is the negation of a proposition; the zero element is a proposition F that is always false; the unit element is a propostion T that is always true.
		A two valued Boolean Algebra is defined on a set of two elements, B = { 0, 1 }, with rules for the two binary operators + and.
	www.ctp.bilkent.edu.tr /~yavuz/BOOLEEAN.html (1041 words)

	The Mathematics of Boolean Algebra
		Boolean algebra is the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation.
		The study of Boolean algebras has several aspects: structure theory, model theory of Boolean algebras, decidability and undecidability questions for the class of Boolean algebras, and the indicated applications.
		Much of the deeper theory of Boolean algebras, telling about their structure and classification, can be formulated in terms of certain functions defined for all Boolean algebras, with infinite cardinals as values.
	plato.stanford.edu /entries/boolalg-math (2064 words)

	Boolean algebra
		Stone was initially interested in Boolean algebras in order to gain insight into the structure of rings of functions which were being investigated in functional analysis.
		In the 1930's Stone proved that every Boolean algebra is isomorphic to a field of sets, and that the equations true of the two-element Boolean algebra are the same as the equations true of all Boolean algebras; and these equations were consequences of a small initial set of defining equations.
		Boolean algebra became a deep and fascinating subject in its own right, with much more to offer than a convenient notation to analyze simple chains of reasoning.
	www.math.uwaterloo.ca /~snburris/htdocs/scav/boolean/boolean.html (573 words)

	AskTom "Boolean Datatype" (Site not responding. Last check: 2007-11-07)
		Clarity: if the value I'm trying to store really is a boolean, then when I'm glancing at my model, it's clear that that's what the column is. Sure, if it's a char(1) that's a good indication, but not a sure-fire one.
		BOOLEAN is a fundamental and natural datatype, and most databases I have known would use it liberally if it existed.
		I'm assuming a Boolean datatype would have to be tri-valued to fully support integration with PL/SQL and to be consistent with ANSI SQL.
	asktom.oracle.com /pls/ask/f?p=4950:8:::::F4950_P8_DISPLAYID:6263249199595 (2779 words)

	boolean
		Boolean variable if it can only assume the value of either 0 or 1.
		Boolean function is a function whose domain is a set of n-tuples of 0's and 1's, and whose range is an element of the basic Boolean set {0,1}.
		For example, the minterm expansion for a Boolean function f of three variables might be represented as follows (taking the values directly from the truth table):
	cse.stanford.edu /class/cs103a/h9BAlgebra.html (2594 words)

	Boolean Search Tips - Research Guides - Lake-Sumter Community College Libraries (Site not responding. Last check: 2007-11-07)
		Boolean searching is based on a system of symbolic logic developed by George Boole, a 19th century English mathematician.
		Boolean search techniques may be used to perform accurate searches without producing many irrelevant documents.
		Boolean search terms may be combined in various ways to carefully refine searches.
	www.lscc.cc.fl.us /library/guides/boolsea.htm (675 words)

	WVU College of Law - George R. Farmer, Jr. Law Library - Boolean Logic
		Developed by English mathematician George Boole in 1854, Boolean algebra was designed as a symbolic system of mathematical logic to represent relationships between entities.
		Using Boolean operators in database searching can improve search results, but computers depend on human input and will produce results only as good as the search query entered.
		When Boolean operators are combined, search queries become more complex and the search results may become unwieldy if the following factors are not considered.
	www.wvu.edu /~law/library/guides/boolean.htm (798 words)

	Defining Boolean Algebra (Site not responding. Last check: 2007-11-07)
		Once you understand how Boolean Algebra works then you will be able to fearlessly look at Boolean equations and verify or figure out the truth or logic in them.
		And the * in Boolean Algebra doesn't "multiply" but "mutually filters out" to form a set that gives you what is common in the sets that were "combined" in such a manner.
		Well, in Boolean Algebra, when applied to binary numbers, there is only two numbers, 0 and 1, and if you are limited to only one digit each, then whatever operation you do on the two numbers, you will get one of the two numbers.
	www.jairosoft.com /intro_math13.htm (1979 words)

	CHAPTER TWO: BOOLEAN ALGEBRA (Part 3)
		Although there is a tenuous relationship between boolean functions and boolean expressions in programming languages like C or Pascal, it is fair to wonder why we're spending so much time on this material.
		The four inputs to each of these seven boolean functions are the four bits from a binary number in the range 0..9.
		A generic boolean function of four variables requires five parameters - the four input parameters and a fifth parameter that specifies the function to compute.
	www.arl.wustl.edu /~lockwood/class/cs306/books/artofasm/Chapter_2/CH02-3.html (3515 words)

	Boolean Searching on the Internet (Site not responding. Last check: 2007-11-07)
		Boolean logic refers to the logical relationship among search terms, and is named for the British-born Irish mathematician George Boole.
		Implied Boolean logic refers to a search in which symbols are used to represent Boolean logical operators.
		Implied Boolean logic has become so common in Web searching that it may be considered a de facto standard.
	library.albany.edu /internet/boolean.html (958 words)

	Boolean Algebra
		Boolean Algebra is both a formalization of the algebraic aspects of logic, and the customary language of logic used by the designers of computers.
		An important aspect of the axioms and properties of Boolean Algebra (and therefore of logic as well) is the notion of "duality".
		In general, given any axiom or property in Boolean Algebra, if we interchange the sum and product operators and at the same time interchange the elements 0 and 1, the new expression will also be a valid property of the algebra.
	www.rwc.uc.edu /koehler/comath/24.html (892 words)

	What is Boolean expression? - A Word Definition From the Webopedia Computer Dictionary (Site not responding. Last check: 2007-11-07)
		All expressions that contain relational operators, such as the less than sign (<), are Boolean.
		The operators -- AND, OR, XOR, NOR, and NOT -- are Boolean operators.
		Boolean expressions are also called comparison expressions, conditional expressions, and relational expressions.
	www.webopedia.com /TERM/B/Boolean_expression.html (94 words)

	Using Keywords and Boolean Logic, UM Libraries
		Boolean logic is a system that allows a searcher to communicate to a database specific relationships between keywords (or concepts) when searching.
		Web: Boolean logic is used in search engines to retrieve items, although you may not even be aware that it is being used-i.e.
		To illustrate Boolean searching, let’s assume that you have decided to write a research paper on the controversy surrounding the medical use of marijuana.
	www.lib.umd.edu /UES/boolean.html (820 words)

	BrightPlanet® — Guide to Effective Searching of the Internet
		Boolean algebra is also of prime importance to the design of modern computers.
		Without Boolean techniques, you are stuck with doing a lot of free-text searching, meaning, looking for documents that contain words you think will be in the document you are seeking.
		Boolean techniques give you the power to narrow your search to a reasonable number of potentially useful documents thereby increasing your likelihood of success.
	www.brightplanet.com /deepcontent/tutorials/search/part4.asp (1365 words)

	Boolean
		Boolean logic has been used with computers almost from the day the first computer was invented, and it's still in use in today's ultra powerful search engines and databases.
		History of Boolean Logic George Boole was a luminary in the fields of mathematics and logic.
		Additionally, an essay that Boole wrote to describe his "application of a new and peculiar form of Mathematics to the expression of the operations of the mind in reasoning." is available in "The Calculus of Logic" (www.maths.tcd.ie/pub/).
	www.infoweblinks.com /content/boolean.htm (348 words)

	Boolean Searches in Spotlight at The Apple Blog
		She wasn’t particularly satisfied by that explanation, and neither am I. The good news is, you can, but it seems to have taken some time to properly traverse the Mac web.
		First comes this post, which details the boolean OR, and then a few days later this, on the boolean NOT.
		There is some suggestion that it is due to boolean searching’s not yet being fully implemented, hence the decision to keep the functionality “hidden”.
	www.theappleblog.com /2005/05/27/boolean-searches-in-spotlight (512 words)

	MySQL 5.0 Reference Manual :: 12.7.1 Boolean Full-Text Searches
		Boolean searching has two deficiencies: 1) results are not sorted by relevance and; 2) no method by which to weigh certain columns.
		The boolean mode after the from statement automatically pulls out the 0's and then the Match statement in the SELECT clause allows me to get the relevance score so I can sort by it.
		This can be solved with the boolean part of the Match statement by trimming and searching for +anchor* +bolt*, but the non-boolean part of the Match statement for relevance is still a problem returning zeros in some instances.
	dev.mysql.com /doc/refman/5.0/en/fulltext-boolean.html (2799 words)

	Boolean Algebra
		Boolean algebra provides the ability to work with many interesting functions while often using significantly less space than a truth table.
		We will informally prove that boolean algebra can describe all boolean functions - this justifies our use of gates since they correspond to the building blocks of boolean algebra.
		Boolean expressions and circuits are interchangeable though circuits are generally smaller since they may share common subexpressions.
	cs-people.bu.edu /jconsidi/teaching/notes/cs210/node6.html (342 words)

	Boolean Basics - Resume Writing Services & Free Resume Advice from Monster.com (Site not responding. Last check: 2007-11-07)
		For example, uncovering an engineering job via a search engine will be time-consuming and frustrating if you simply use the keyword "engineer." The search will likely return thousands of irrelevant results, and you'll have to sort through scores of openings for artificial intelligence, electrical, sanitation and locomotive engineers.
		The word Boolean is derived from the 19th-century British mathematician George Boole, which, if nothing else, is a great factoid for your next dinner party.
		Other Boolean operators can help you fine-tune your search results, but mastering these basics will increase your accuracy and decrease your frustration.
	resume.monster.com /articles/booleanbasics (639 words)

	Boolean Searching
		The Boolean OR command is used in order to allow any of the specified search terms to be present on the web pages listed in results.
		Boolean searching can only be done from the advanced search page, as listed on the Search Assistance Features page.
		Lycos says it supports many Boolean commands, and I haven't verified these, because of the difficulty of determining exactly which datasets might be processed.
	searchenginewatch.com /facts/article.php/2155991 (1206 words)

	Boolean Logic
		Boolean logic is a subject that I have found is not explained well in programming books or classes.
		Experienced programmers use the term "Boolean" quite easily, while its meaning may be a mystery to others.
		In the Boolean system an object can exist in only one of two states, there is no third choice, no maybe or transitional faze.
	home.att.net /~gobruen/progs/boole.html (438 words)

	Boolean Logic
		The purpose of this lesson is to teach students how to use the Boolean operators of "AND", "OR" and "NOT" [or "AND NOT"] in online searching to either narrow or expand the results.
		These Boolean operators establish a relationship between the keywords/concepts in a search and thus modify the results from that search.
		Boolean operators are named after George Boole, an Englishman, who invented them as part of a system of logic in the mid-1800's.
	www.kn.pacbell.com /wired/21stcent/lbool.html (549 words)

	CSU Libraries: Boolean Searching
		Boolean searching is a way to improve search results.
		Boolean operators are AND, OR, and NOT [sometimes AND NOT or NO].
		See Boolean Tutorial and Advanced Boolean Tutorial (each which take 3-5 minutes) for flash tutorials of this concept.
	lib.colostate.edu /howto/others/boolean.html (324 words)

	Alibre Options: Using Boolean Operations in a Part Workspace - Boolean operations can help you create or modify parts ...
		Design Boolean features are associative, meaning that if you modify and save the original parts/assemblies that were used as tools, the Design Boolean feature(s) update when you reopen the design that contains them.
		I'll perform a Boolean subtract operation by taking a standard screw and using it to drill a threaded hole on a cylindrical block.
		The Boolean Intersect results in a part in the shape of the overlap of the tool and the blank.
	manufacturing.cadalyst.com /manufacturing/article/articleDetail.jsp?id=257334 (1145 words)

	XML Path Language (XPath) (Site not responding. Last check: 2007-11-07)
		A PredicateExpr is evaluated by evaluating the Expr and converting the result to a boolean.
		If one object to be compared is a node-set and the other is a boolean, then the comparison will be true if and only if the result of performing the comparison on the boolean and on the result of converting the node-set to a boolean using the boolean function is true.
		If at least one object to be compared is a boolean, then each object to be compared is converted to a boolean as if by applying the boolean function.
	www.w3.org /TR/xpath (8473 words)

	CLHS: Type BOOLEAN (Site not responding. Last check: 2007-11-07)
		The type boolean contains the symbols t and nil, which represent true and false, respectively.
		Conditional operations, such as if, permit the use of generalized booleans, not just booleans; any non-nil value, not just t, counts as true for a generalized boolean.
		However, as a matter of convention, the symbol t is considered the canonical value to use even for a generalized boolean when no better choice presents itself.
	www.lisp.org /HyperSpec/Body/typ_boolean.html (78 words)

Try your search on: Qwika (all wikis)