The term wordproblem has several meanings wordproblem mathematics education is a type of textbook problem designed to help students apply abstract mathematical concepts to real world situations wordproblem mathematics is the wordproblem for encodings of sets in mathematics and computer science wordproblem for groups is the problem of recognizing the identity element in a finitely presented group wordproblem computability is a decision problem concerning formal languages mathdab ... more details
the same element. Such an algorithm is called a solution to the wordproblem for the encoding system. The wordproblem in combinatorial calculus main article Combinatory logic Undecidability of combinatorial calculus The simplest example of an undecidable wordproblem occurs in combinatory logic when ... strings of combinators is undecidable. The wordproblem in universal algebra In algebra , one often ... as expressions in terms of the generators and operations. The wordproblem here is thus to determine ..., the wordproblem in an algebra is given a set of identities E , and two Term mathematics terms ... Press, 1998, p. 5 ref The wordproblem occurs in the study of lattice order lattices there it may be shown that the wordproblem has a solution, namely, the set of all equivalent words is the free lattice . The most important and deeply studied case of the wordproblem is in the theory of semigroup s and group mathematics group s. There are wordproblem for groups many groups for which the wordproblem ... . The wordproblem on free Heyting algebra s is difficult ref Peter T. Johnstone, Stone Spaces , 1982 ... . See also Munn tree Wordproblem for groups Knuth Bendix completion algorithm References reflist ...about algorithmic word problems in mathematics and computer science its completely different meaning in mathematics education wordproblem mathematics education In mathematics and computer science , a wordproblem for a set S with respect to a system of finite encodings of its elements is the algorithmic problem of deciding whether two given representatives represent the same element of the set. The problem is commonly encountered in abstract algebra , where given a presentation of an algebraic structure by generating set generators and relator s, the problem is to determine if two expressions represent the same element a prototypical example is the wordproblem for groups . Less formally, the wordproblem in an algebra is given a set of identities E , and two expressions x and y , is it possible ... more details
that does or does not have solvable wordproblem. Given two finite presentation s P and Q of a group G , P has solvable wordproblem if and only if Q does. Citation needed date July 2009 So in this case no confusion is caused by speaking of the wordproblem for G . When the group is recursively presented ... wordproblem for a class K of recursively presented groups is the algorithmic problem of deciding ... implicitly solve the wordproblem for the groups in question. In 1911 Max Dehn proposed that the wordproblem was an important area of study in its own right, harv Dehn 1911 , together with the conjugacy ... both the word and conjugacy problem for the fundamental group s of closed orientable two dimensional ... Citation last Greendlinger first Martin year 1959 month June title Dehn s algorithm for the wordproblem ... P. S. authorlink Pyotr Novikov year 1955 title On the algorithmic unsolvability of the wordproblem ... postscript . ru icon ref It follows immediately that the uniform wordproblem is also undecidable ... title The wordproblem journal Proceedings of the National Academy of Sciences volume 44 issue 10 ... postscript . ref The wordproblem was one of the first examples of an unsolvable problem to be found ... that the wordproblem is in fact solvable for many groups G . For example, polycyclic group s have ... hand the fact that a particular algorithm does not solve the wordproblem for a particular group does not show that the group has unsolvable wordproblem. For instance Dehn s algorithm does not solve the wordproblem for the fundamental group of the torus . However this group is the direct product of two infinite cyclic groups and so has solvable wordproblem. A more concrete description In more concrete terms, the uniform wordproblem can be expressed as a rewriting question, for literal string ... element of G , so is the cube of the inverse of x . Under these conditions the wordproblem ... , so we can convert yy to x . The result is that we can prove that the wordproblem here, for what ... more details
Abstract algebra has an unrelated term wordproblem for groups . In mathematics education , the term wordproblem is often used to refer to any math exercise where significant background information on the problem ... 28198401 2915 3A1 3C64 3ASPFVVT 3E2.0.CO 3B2 V ref Example A mathematical problem in mathematical notation Solve for J J A 20 J 5 A 5 2 might be presented in a wordproblem as follows John is twenty years ... to the wordproblem is that John is 15 years old, while the answer to the mathematical problem is J 15 and A 35 . Structure Word problems can be examined on three levels ref name Nesher 1975 Perla Nesher Eva Teubal 1975 Verbal Cues as an Interfering Factor in Verbal Problem Solving Educational ... in numerous ways, but one such scheme is to classify the quantities in the problem assuming the wordproblem is primarily numerical into known quantities the values given in the text of the problem ... WordProblem Mathematics Education Category Mathematics education de Textaufgabe hu Sz veges feladat ..., E De Corte 2000 Making Sense of Word Problems , Taylor & Francis ref As word problems often involve ... Threadgill Sowder 1984 Story Problem Formats Verbal versus Telegraphic Journal for Research in Mathematics ... mathematical relations Level c the symbolic mathematical expression. Word problems can be further ... as the number of words in the problem or the mean sentence length. ref name Lepik 1990 Madis Lepik 1990 Algebraic Word Problems Role of Linguistic and Structural Variables , Educational Studies ... to be found as intermediate stages of the problem . ref name Lepik 1990 Common types The most common types of word problems are distance problems, age problems, work problems, percentage problems, mixtures problems and numbers problems. Purpose and use Word problems commonly include mathematical model ..., who may find that it is easier to handle the following problem Given r 2 and dh dt 3, find d dt &pi r sup 2 sup × h . Word problems are a common way to train and test understanding of underlying ... more details
Otheruses Wiktionary A problem is an obstacle, impediment, difficulty or challenge, or any situation ... purpose or goal. Individual awareness of a problem constitutes awareness of a desired outcome ... the outcome from taking place. Problem solving main Problem solving Every theoretical problem asks for an answer or solution. Trying to find a solution to a problem is known as problem solving . That is, a problem is a gap between an actual and desired situation. The time it takes to solve a problem ... classified as an open problem . See also List of unsolved problems From the mid 20th century, the field ... Mathematical problem is a question about mathematical objects and structures that may require a distinct answer or explanation or mathematical proof proof . Examples include Wordproblem mathematics education word problems at school level or deeper problems such as Four color theorem shading a map with only four colours . In society , a problem can refer to particular social issue s, which if solved ... hostility and disruption. See also Wicked problem In business and engineering , a problem is a difference between actual conditions and those that are required or desired. Often, the causes of a problem ... corrective actions. In Chess problem chess , a problem is a puzzle set by somebody using chess pieces .... In theology , there is what is referred to as the Synoptic Problem , which includes in its ... in the Gospels accounts of allegedly historical events. In academic discourse a problem is a challenge ... or idea. An optimization problem is finding the best solution from all feasible solutions. A good example of this type of problem is the travelling salesperson problem which is based on calculating the most efficient route between many places In computability theory a decision problem requires a simple yes or no answer. In rock climbing a problem is a series of Rock geology rock s that forces the climber to climb. In Reading process reading , a problem is a combination of a series of words ... more details
No Problem may refer to No Problem Sonny Rollins album No Problem Sonny Rollins album , a 1981 album No Problem Fann Wong album No Problem Fann Wong album , a 2000 album No Problem TV series No Problem TV series , a British television series No Problem film No Problem film , a 2010 Bollywood film disambig ... more details
EDITING GUIDELINES for DISAMBIGUATION DAB PAGES DAB pages are not normal articles and have a special style DAB pages help users find specific articles Please Point to link only one article on each line Please Start each line with the target article Remember These are guidelines not absolute rules More information WP MOSDAB The Word may mean Surfin Bird The Bird is the Word The Bible Christ the Logos The Word band , a blues jam rock group The Word 1953 film The Word 1953 film , a 1953 documentary film The Word 1955 film The Word 1955 film or Ordet , a 1955 Danish film The Word novel The Word novel , a novel by Irving Wallace The Word radio The Word radio , a weekly BBC World Service book programme The Word song The Word song , a song by The Beatles The Word TV series The Word TV series , a British late night variety series Recurring segments on The Colbert Report The W.C3.B8rd The W rd , a recurring segment on Stephen Colbert s The Colbert Report The Word magazine , a UK music magazine The Word bible study software , Bible study software See also Word & Void novel series Word & Void series fantasy novels by Terry Brooks disambig ... more details
Other uses pp move indef A word is the smallest free form an item that may be uttered in isolation with semantic ... unit of meaning. A word may consist of only one morpheme e.g. so, very , but a single morpheme may not be able to exist as a free form e.g. the English plural morpheme s . Typically, a word ... linguistics sentences . A word consisting of two stems joined together form a compound linguistics compound . Word may refer to a spoken word or a written word, or sometimes, the abstract concept ... see Lexeme Lemma linguistics The ease or difficulty of deciphering a word depends on the language ... . These can be taken as an indication of what constitutes a word in the opinion of the writers of that language .... 36&ndash 7. ref For example, the word bears has semantic features it denotes real world objects ... features it is pronounced a certain way , etc. Word boundaries The task of defining what constitutes a word involves determining where one word ends and another word begins&mdash in other words, identifying word boundaries. There are several ways to determine where the word boundaries of spoken language ... for pauses. The speaker will tend to insert pauses at the word boundaries. However, this method is not foolproof ... ten or so years . These extra words will tend to be added in the word boundaries of the original sentence. However, some languages have infix es, which are put inside a word. Similarly, some have separable ... it easy to spot where a word boundary should be. For example, in a language that regularly lexical stress stresses the last syllable of a word, a word boundary is likely to fall after each stressed syllable ... ref Bauer 9 ref the vowels within a given word share the same quality , so a word boundary is likely ... a mixture of all these methods to determine the word boundaries of any given sentence. Even with the careful application of these methods, the exact definition of a word is often still very elusive ... between orthography and the question of what is considered a single word. Word ... more details
A mathematical problem is a problem that is amenable to being analyzed, and possibly solved, with the methods of mathematics . This can be a real world problem, such as computing the Orbit Planetary orbits orbit s of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert s problems . It can also be a problem referring to the Foundations of mathematics nature of mathematics itself, such as Russell s Paradox . Real world problems Informal real world mathematical problems are questions related to a concrete setting, such as Adam has five apples and gives John three. How many has he left? . Such questions are usually more difficult to solve than regular mathematical exercises like 5 &minus 3 , even if one knows the mathematics required to solve the problem. Known as wordproblem mathematics education wordproblem s, they are used in mathematics education to teach students to connect real world situations to the abstract language of mathematics. In general, to use mathematics for solving a real world problem, the first step is to construct a mathematical model of the problem. This involves abstraction from the details of the problem, and the modeller has to be careful not to lose essential aspects in translating the original problem into a mathematical one. After the problem has been solved in the world of mathematics, the solution must be translated back into the context of the original problem. Abstract problems Abstract mathematical problems arise in all fields of mathematics. While mathematicians usually study them for their own sake, by doing so results may be obtained that find application outside the realm of mathematics. Theoretical ... quintic equation algebraically. Also provably unsolvable are so called undecidable problem s, such as the halting problem for Turing machine s. Many abstract problems can be solved routinely, others ... also List of unsolved problems in mathematics Problem solving Mathematical game External links http ... more details
In abstract algebra , the conjugacy problem for a group mathematics group G with a given Presentation of a group presentation is the decision problem of determining, given two words x and y in G , whether or not they represent conjugacy class conjugate elements of G . That is, the problem is to determine whether there exists an element z of G such that math y zxz 1 . , math The conjugacy problem is also known as the transformation problem . The conjugacy problem was identified by Max Dehn in 1911 as one of the fundamental decision problems in group theory the other two being the Wordproblem for groups wordproblem and the Group isomorphism problem isomorphism problem . The conjugacy problem contains the wordproblem as a special case if x and y are words, deciding if they are the same word is equivalent to deciding if math xy 1 math is the identity, which is the same as deciding if it s conjugate to the identity. In 1912 Dehn gave an algorithm that solves both the word and conjugacy problem for the fundamental group s of closed orientable two dimensional manifolds of genus greater than or equal to 2 the genus 0 and genus 1 cases being trivial . It is known that the conjugacy problem is undecidable for many classes of groups. Classes of group presentations for which it is known to be soluble include free groups no defining relators one relator groups with torsion finitely presented conjugacy separable groups finitely generated abelian groups relators include all commutators Hyperbolic group Gromov hyperbolic groups CAT 0 groups References cite book last Magnus first Wilhelm authorlink Wilhelm Magnus coauthors Abraham Karrass, Donald Solitar title Combinatorial group theory. Presentations of groups in terms of generators and relations publisher Dover Publications year 1976 location url doi id isbn 0 486 63281 4 page 24 cite book last Johnson first D.L. authorlink coauthors title Presentations of groups publisher Cambridge University Press year 1990 location url doi id ... more details
Notability date March 2010 Infobox Non profit Non profit name Spread the Word to End the Word Non profit logo File Spread the Word Logo.jpg 250 px Non profit type founded date 2009 partner Special Olympics and Best Buddies International location origins Special Olympics Global Youth Activation Summit key people area served product mission Eliminate the use of the word retard from everyday speech. focus method revenue endowment num volunteers num employees num members subsid owner Non profit slogan homepage http www.r word.org www.r word.org dissolved footnotes Spread the Word to End the Word is a United States national campaign to encourage people to pledge to stop using the word retard . End the R Word advocates believe the use of the word retard ed in colloquial and everyday speech is hurtful and dehumanizing to individuals with mental retardation . They advocate for the use of language ... than human. By calling it the r word , they draw an analogy to socially unacceptable racial terms, especially the n word . History The Spread the Word to End the Word movement was established in 2009 ... Games . The Spread the Word to End the Word movement was created by youth with and without intellectual .... ref cite web url http www.specialolympics.org 03 31 09 Spread the Word.aspx title Spread the Word to End the Word publisher Special Olympics ref blockquote On March 31, 2009 the campaign celebrated the 1st Annual Spread the Word to End the Word National Awareness Day. Across the country, students of all ages made a pledge to eliminate the r word from their vocabulary and encourage others to do the same. In 2010, the 2nd Annual Spread the Word to End the Word National Day of Awareness took place on March 3, 2010. Supporters The Spread the Word to End the Word campaign receives its support from ... for the campaign. References references External links http www.r word.org R Word Pledge http www.specialolympics.org 03 31 09 Spread the Word.aspx Special Olympics Spread the Word to End the Word Category ... more details
In combinatorics , a square free word is a String computer science word that does not contain any Substring Substring subword twice in a row. There exist infinite square free words in any alphabet with three or more symbols, as proved by Axel Thue ref A. Thue, ber unendliche Zeichenreihen, Norske Vid. Skrifter I Mat. Nat. Kl., Christiania 7 1906 1 22. ref ref A. Thue, ber die gegenseitige Lage gleicher Teile gewisser Zeichenreihen, Norske Vid. Skrifter I Mat. Nat. Kl., Christiania 1 1912 1 67. ref . To build an infinite square free word in the alphabet a, b, c , let math w 1 math be any word starting with the letter a . Define the words math w i i in mathbb N math recursively as follows the word math w i 1 math is obtained from math w i math by replacing each a in math w i math with abcbacbcabcba , each b with bcacbacabcacb , and each c with cabacbabcabac this example was found by J. Leech ref J. Leech, A problem on strings of beads, Math. Gazette 41 1957 277 278. ref . It is possible to check that the sequence converges to the infinite square free word abcbacbcabcbabcacbacabcacbcabacbabcabacbcacbacabcacb ... Over a two letter alphabet a, b the only square free words are the empty word and a , b , ab , ba , aba , and bab . There is, however, an infinite cube free word the Thue Morse sequence . The Thue number of a Graph mathematics graph G is the smallest number k such that G has a k coloring for which the sequence of colors along every non repeating path is squarefree. Notes references References Lothaire, M., Combinatorics on words. Cambridge University Press, Cambridge, 1997. xviii 238 pp. ISBN 0 521 59924 5 combin stub Category Combinatorics on words de Quadratfreies Wort fr Mot sans facteur carr ru ... more details
Word wrapping is an optimization problem. Depending on what needs to be optimized for, different algorithms are used. Minimum length A simple way to do word wrapping is to use a greedy algorithm ...Selfref For word wrap handling on Wikipedia, see Wikipedia Line break handling . In text display, line ... window, allowing text to be read from top to bottom without any horizontal scrolling . Word wrap is the additional feature of most text editor s, word processors , and web browser s, of breaking lines between and not within words, except when a single word is longer than a line. It is usually ... return is the break resulting from line wrap or word wrap, whereas a hard return is an intentional break, creating a new paragraph . Word boundaries, hyphenation, and hard spaces The soft returns are usually .... However, word wrap may also occur following a hyphen . Word wrap following hyphens is sometimes .... On the other hand, when using word processors, invisible hyphens, called soft hyphens, can also be inserted inside words so that word wrap can occur following the soft hyphens. Sometimes, word wrap is not desirable between words. In such cases, word wrap can usually be avoided by using a hard space or non breaking space between the words, instead of regular spaces. Word wrapping in text containing ... language Korean , each Han character is normally considered a word, and therefore word wrapping can usually occur before and after any Han character. Under certain circumstances, however, word wrapping is not desired. For instance, word wrapping might not be desired within personal names, and word ... styles . Most existing word processors and typesetting software cannot handle either of the above ... there are no more words left to place. This method is used by many modern word processors, such as OpenOffice.org Writer and Microsoft Word . This algorithm is optimal in that it always puts the text ... for each Word in Text if Width Word SpaceWidth SpaceLeft insert line break before Word in Text ... more details
of the shortest synchronizing word for any n state complete DFA a DFA with complete State diagram ... finds a synchronizing word in Big O notation O n sup 3 sup n sup 2 sup k time complexity time and Big ... &minus 1 sup 2 sup on the length of a synchronizing word can be proven. ref name eppstein ... that finding the minimum length reset sequence is an NP complete problem. The road coloring problem is the problem of labeling the edges of a regular graph regular directed graph with the symbols of a k ... The road coloring problem id arxiv 0709.0099 year 2007 . ref References reflist Further reading citation ... more details
unreferenced date May 2009 Infobox Album See Wikipedia WikiProject Albums Name A Word Is Also a Picture of a Word Type Album Artist 31Knots Cover 31Knots A Word Is Also a Picture of a Word.jpg Released April 2, 2002 Recorded September, 2000 September, 2001 Genre Math rock Length Label 54 40 or Fight Producer Reviews Allmusic 4 5 Allmusic class album id r583615 pure url yes link Last album This album A Word Is Also a Picture of a Word br 2002 Next album It Was High Time To Escape br 2003 A Word Is Also a Picture of a Word was 31Knots second album. It was released on April 22, 2002. The title of the album is derived from a phrase written by Don DeLillo in his book Libra novel Libra . Track listing Preface 0 41 Tower of the Middle of the Month 3 29 E for Alpha 4 56 Buy High Sell Low 2 39 Breathe to Please Them 5 14 Flight of the Moron 1 16 Frozen Found Fire 5 11 Myopic Fights 4 04 Pity Has No Power 3 51 Era of Artillery 6 30 Surface Learning 3 18 Credits 31Knots Main performer, Mixing Adam Selzer Mixing Amy Annelle Vocals Jason Powers Mixing Kevin Nettleingham Mastering Pat Kenneally Engineer, Mixing Shane Deleon Trumpet DEFAULTSORT Word Is Also A Picture Of A Word, A Category 31Knots albums Category 2002 albums Category Debut albums Category English language albums ... more details
2000 problem , it made Microsoft Word 5.5 for DOS available for download free. As of November ... for Word X and Word 2004 that effectively eliminated the macro problem on the Mac by 2006. Word ...Infobox software name Microsoft Word logo File Microsoft Word 2010 Icon.svg 64px screenshot File Word 2010.png 200px caption Microsoft Word 2010 developer Microsoft frequently updated yes Release version ... genre Word processor license Proprietary software Proprietary EULA website http office.microsoft.com en us word Microsoft Word Infobox software name Microsoft Word for Mac logo screenshot File Microsoft Word for Mac 2011.png 200px caption Microsoft Word for Mac 2011 developer Microsoft frequently updated ... version latest preview date operating system Mac OS X genre Word processor license Proprietary software Proprietary EULA website http www.microsoft.com mac word Microsoft Word for Mac Microsoft Word is a non Free software free commercial software commercial word processor designed by Microsoft . It was first released in 1983 under the name Multi Tool Word for Xenix systems. ref name PCHistory ... versions are Microsoft Word 2010 for Windows and 2011 for Mac. History Origins and growth 1981 to 1995 ... GUI word processor, which was developed at PARC company Xerox PARC . ref name pcworld word25 cite news url http www.pcworld.com article 152585 microsoft word turns 25.html title Microsoft Word Turns ... Simonyi started work on a word processor called Multi Tool Word and soon hired Richard Brodie , a former ... 2006 12 02 ref File Microsoft Word 5.0 for DOS.png thumb right 200px Microsoft Word 5.0 for DOS. Versions 1.0 to 4.0 had a similar user interface. Microsoft announced Multi Tool Word for Xenix ref name pcworld word25 and MS DOS in 1983. ref name infoworld multi tool word cite news url http books.google.com ... name was soon simplified to Microsoft Word . ref name PCHistory Free demonstration copies of the application ... ref Unlike most MS DOS programs at the time, Microsoft Word was designed to be used with a mouse ... more details
, in the second sense of the term, was the wordproblem for groups , first posed by Max Dehn in 1911 ... problem is a decision problem for which it is impossible to construct a single algorithm that always leads to a correct yes or no answer. A decision problem is any arbitrary yes or no question on an infinite set of inputs. Because of this, it is traditional to define the decision problem equivalently as the set of inputs for which the problem returns yes . These inputs can be natural numbers .... Thus, a decision problem informally phrased in terms of a formal language is also equivalent to a set ... numbers. Formally, a decision problem is a subset of the natural numbers. The corresponding informal problem is that of deciding whether a given number is in the set. A decision problem A is called decidable or effectively solvable if A is a recursive set . A problem is called partially ... problem in computability theory In computability theory computer science computability theory , the halting problem is a decision problem which can be stated as follows Given a description of a computer ... problem for all possible program input pairs necessarily cannot exist. Hence, the halting problem is undecidability undecidable for Turing machines. Relationship with G del s incompleteness ... problem, and the proofs are quite similar. In fact, a weaker form of the First Incompleteness Theorem is an easy consequence of the undecidability of the halting problem. This weaker form ... form of the theorem can be proved from the undecidability of the halting problem as follows ... to decide the halting problem. Since we know that there cannot be such an algorithm, it follows ... distinct senses of the word undecidable in contemporary use. The first of these is the sense ... not to statements but to decision problem s, which are countably infinite sets of questions each requiring a yes or no answer. Such a problem is said to be undecidable if there is no computable ... more details
Orphan date February 2009 The Asahiru problem refers to a series of debates and controversies that emerged on the Japan ese Internet following an article published by the Japanese newspaper Asahi shimbun on 24 September 2007 about former Prime Minister of Japan Prime Minister Shinz Abe . The controversy revolves on the use of the Japanese expression asahiru , which came to be used as a way of criticizing or parodying Asahi Shimbun. This entry explains the root of the word asahiru as well as defines it, and provides information on the background leading to popularization of this expression. Meaning of the word asahiru Definition A Fabrication science fabrication . To make something up ref http trebian.livedoor.jp archives 54910220.html livedoor torebia news 14 December 2007 ref . To bully relentlessly. To insistently attack people whose views are not in line with your own. For example, Don t asahi means Don t fabricate it . The word asahi ru is a Group II verb in Japanese. See Japanese consonant and vowel verbs . Background Misinformation and fabrications by Asahi newspaper 1950 Asahi shimbun Ritsu Ito press conference coverage incident 1989 Asahi shimbun The sango article fabrication incident 1992 Asahi shimbun Comfort women coverage References Reflist DEFAULTSORT Asahiru Problem Category Internet slang Web stub ja ... more details
Alfred Tarski asked the following mathematical questions For Tarski s problem about the elementary theory of free groups see free group . Tarski s circle squaring problem Tarski s plank problem Tarski s exponential function problem Tarski monster group Tarski s high school algebra problem mathdab ... more details
Combined word may refer to Portmanteau word , a word which fuses two or more function words Compound linguistics , a lexeme less precisely, a word that consists of more than one stem disambig ... more details
Wiktionary word up Word Up may refer to Word Up , a 1986 R&B album by Cameo Word Up song , a song on the above album, also covered by Gun, Melanie B and Korn Word Up video game also known as Word Soup , computer pub game, popular in the UK Word Up Magazine , a teen magazine marketed to African Americans Word Up , catch phrase of PBS animated superhero WordGirl disambig fr Word Up ... more details
Refimprove date May 2008 A Word of Knowledge is a spiritual gift mentioned in 1 Corinthians 12 8 but not in any other New Testament list of spiritual gifts. Among Charismatic movement apostolic and prophetic Christians it is often taught to be a gift of knowledge given by the Holy Spirit to one individual for the benefit of another, as opposed to a prophecy which is usually for a congregation, an individual, or a nation. The message is given to the Christian via specific verses in the Bible, through dreams and visions, or by an immediate realization and understanding. Practical Application POV section date December 2007 The term Word of Knowledge is used in some Christian groups to describe events that are distinguished from other forms of immanence . For example, a Christian knowing detailed information about a stranger is considered to have a Word of Knowledge and allows the Christian to minister to strangers more effectively. At times, a Word of Knowledge can come to an individual for his or her personal edification directed by the Holy Spirit of God. Often, a personal Word of Knowledge is God s way of prompting an individual in his or her spiritual growth and eventual conformity to the image of His Son Jesus Christ. Other references may be found in 1 Samuel chapters 2, 9 & 10 ... he has never met and names a problem in her life, such as psychological problems, secret addictions ... of knowledge contain precise detail, such as a name, the part of the body that is sick, or a problem ... the person s life, and left just as quickly. However, the purpose of the Holy Spirit passing on a word ... are often followed by prayer or talking through the issue relevant to the word of knowledge. At the time .... Jesus Christ shows an example of the word of knowledge as recorded in Chapter 4 of the Gospel ... because of this. For Pentecostal Christians the receipt of a Word of Knowledge is no different than what has occurred in the Bible. Notes references DEFAULTSORT Word Of Knowledge Category ... more details
in a product of two dihedral groups, and there exist non cyclic finite subgroups. Moreover, the wordproblem for groups word and conjugacy problem conjugacy problems were shown to be effectively ...groups The Burnside problem , posed by William Burnside in 1902 and one of the oldest and most influential ... group is finite, must it indeed be true? The problem has many variants see Bounded Burnside problem bounded and Restricted Burnside problem restricted below that differ in the additional conditions ... s problem turned out to be negative. In 1964, Golod and Shafarevich constructed an infinite ... Novikov and Sergei Adian s supplied a negative solution to the bounded exponent problem for all ... work of Ol shanskii and Ivanov established a negative solution to an analogue of Burnside s problem ... is small and different from 2,3,4 and 6, very little is known. General Burnside problem A group G ... groups but the latter group cannot be finitely generated. The general Burnside problem can be posed ... constant. Bounded Burnside problem unsolved mathematics Is B 2,5 finite? Part of the difficulty with the general Burnside problem is that the requirements of being finitely generated and periodic ... n . Burnside problem for groups with bounded exponent asks If G is a finitely generated group with exponent n , is G necessarily finite? It turns out that this problem can be restated as a question ... 1 for each word x in x sub 1 sub , , x sub m sub , and any group G with m generators of exponent n ... m , n , where m is the number of generators of G . Burnside s problem can now be restated as follows ... s problem in this form is not known. Burnside considered some easy cases in his original paper .... The breakthrough in Burnside s problem was achieved by Pyotr Novikov and Sergei Adian in 1968. Using ... 300 page alternative proof to the Burnside problem in 1973 however, Adian ultimately pointed ... to Burnside s problem is formed by finitely generated non cyclic infinite groups in which every ... more details
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