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Problem in finite group theory
known as combinatorial group theory, the word problem for a finitely generated group G {\displaystyle G} is the algorithmic problem of deciding whether two
Word_problem_for_groups
Topics referred to by the same term
situations Word problem (mathematics), a decision problem for algebraic identities in mathematics and computer science Word problem for groups, the problem of
Word_problem
Decision problem pertaining to equivalence of expressions
to a set of rewriting identities. A prototypical example is the word problem for groups, but there are many other instances as well. Some deep results
Word_problem_(mathematics)
Computational problems no algorithm can solve
{\displaystyle \leq 1} is undecidable. The word problem for groups. The conjugacy problem. The group isomorphism problem. Determining whether two finite simplicial
List_of_undecidable_problems
Yes-or-no question that cannot ever be solved by a computer
schools. One of the first problems suspected to be undecidable, in the second sense of the term, was the word problem for groups, first posed by Max Dehn
Undecidable_problem
as a reduced word in S. Word problem (mathematics) Word problem for groups for example, fdr1 and r1fc in the group of square symmetries for example, xy
Word_(group_theory)
Manifold of dimension five
are impossible to classify, as this is harder than solving the word problem for groups. Simply connected compact 5-manifolds were first classified by
5-manifold
the word problem for groups; and the classical Burnside problem. See the book by Chandler and Magnus for a detailed history of combinatorial group theory
Combinatorial_group_theory
Branch of mathematics
finitely presented groups. By the word problem for groups, which is equivalent to the halting problem, it is impossible to classify such groups, so a full topological
Differential_topology
Theorem in algebra
Muller–Schupp theorem states that a finitely generated group G has context-free word problem if and only if G is virtually free. The theorem was proved
Muller–Schupp_theorem
Topological spaces whose union is a boundary
diffeomorphism or homeomorphism in dimensions ≥ 4 – because the word problem for groups cannot be solved – but it is possible to classify manifolds up
Cobordism
Decision problem
groups for which the restriction of the isomorphism problem is known to be decidable. They include finitely generated abelian groups, finite groups,
Group_isomorphism_problem
Specification of a mathematical group by generators and relations
relations. The negative solution to the word problem for groups states that there is a finite presentation ⟨S | R⟩ for which there is no algorithm which, given
Presentation_of_a_group
Branch of mathematical linguistics
lemma Partial word Shift space Word metric Word problem (computability) Word problem (mathematics) Word problem for groups Young–Fibonacci lattice Néraud
Combinatorics_on_words
Computational problem in algebraic topology
it homeomorphic to a manifold? The problem is undecidable; the proof is by reduction from the word problem for groups. Stillwell, John (1993), Classical
Simplicial complex recognition problem
Simplicial_complex_recognition_problem
Group theory function
groups. In particular, a finitely presented group has solvable word problem if and only if the Dehn function for a finite presentation of this group is
Dehn_function
Theory that characterizes object complexity
interstellar and circumstellar molecules Smallest grammar problem Word problem for groups Marshall SM, Mathis C, Carrick E, et al. (24 May 2021). "Identifying
Assembly_theory
of the group. Finitely presented groups satisfying sufficiently strong small cancellation conditions are word hyperbolic and have word problem solvable
Small_cancellation_theory
Word processor
the Windows word processor market. When Microsoft became aware of the Year 2000 problem, it made Microsoft Word 5.5 for DOS available for free downloads
Microsoft_Word
conjecture Subset sum problem Whitehead problem Word problem for groups Amenable group Capable group Commensurability (group theory) Compact group Compactly generated
List_of_group_theory_topics
British mathematician (1923–2010)
when Turing engaged in a discussion that introduced him to the word problem for groups. Hilton worked with Walter Lederman. Another colleague there was
Peter_Hilton
Norwegian mathematician (1863–1922)
rationals Plastic ratio – Number, approximately 1.3247 Word problem for groups – Problem in finite group theory O'Connor, John J.; Robertson, Edmund F., "Axel
Axel_Thue
Highest Soviet state award
(1957, mathematics, for proving the undecidability of the word problem for groups) Sergei Prokofiev (1957, music, posthumously, for his Symphony No. 7)
Lenin_Prize
Gelfand–Naimark theorem and Naimark's problem Pyotr Novikov, solved the word problem for groups and Burnside's problem Sergei Novikov, worked on algebraic
List of Russian mathematicians
List_of_Russian_mathematicians
Process of achieving a goal by overcoming obstacles
Problem solving is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from
Problem_solving
Mathematical term in group theory
generated groups Amenable groups Iterated monodromy group Non-commutative cryptography R. I. Grigorchuk. On Burnside's problem on periodic groups. (Russian)
Grigorchuk_group
Basic question in geometry and topology
algorithm for determining if they are isomorphic (homeomorphic, diffeomorphic). This is due to the unsolvability of the word problem for groups, or more
Classification_of_manifolds
Study of computable functions and Turing degrees
that the word problem for groups is not effectively solvable: there is no effective procedure that, given a word in a finitely presented group, will decide
Computability_theory
Subfield of mathematics
word problem for groups was proved algorithmically unsolvable by Pyotr Novikov in 1955 and independently by W. Boone in 1959. The busy beaver problem
Mathematical_logic
be scissors-congruent? Babai's problem: which groups are Babai invariant groups? Brouwer's conjecture on upper bounds for sums of eigenvalues of Laplacians
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Branch of mathematics that studies algebraic structures
Word problem for groups Quotient group Extension problem Direct sum, direct product Semidirect product Wreath product Simple group Finite group Abelian
List of abstract algebra topics
List_of_abstract_algebra_topics
Soviet and Russian mathematician (1938–2024)
Pyotr Sergeyevich Novikov, who gave a negative solution to the word problem for groups. His mother, Lyudmila Vsevolodovna Keldysh, and maternal uncle
Sergei Novikov (mathematician)
Sergei_Novikov_(mathematician)
Problem on words in group theory
1912 Dehn gave an algorithm that solves both the word and conjugacy problem for the fundamental groups of closed orientable two-dimensional manifolds of
Conjugacy_problem
Set of mathematical functions concerning algebraic group isomorphism
automorphism group of any finitely generated group, known as the Fouxe-Rabinovitch generators. A particularly simple case of the word problem for groups and the
Nielsen_transformation
unlike the Todd–Coxeter algorithm, it can sometimes solve the word problem for infinite groups. The main practical difficulties in producing a coset enumerator
Coset_enumeration
Complexity class
are RE-complete. The uniform word problem for groups or semigroups. (Indeed, the word problem for some individual groups is RE-complete.) Deciding membership
RE_(complexity)
Type of countable group in group theory
then it is known that there is no uniform algorithm to solve the word problem for groups in W {\displaystyle {\mathcal {W}}} . It follows, although the
SQ-universal_group
Entscheidungsproblem Halting problem Correctness Post correspondence problem Decidable language Undecidable language Word problem for groups Wang tile Penrose tiling
List of computability and complexity topics
List_of_computability_and_complexity_topics
results in number theory Diophantine set Matiyasevich's theorem Word problem for groups Arithmetical hierarchy Subrecursion theory Presburger arithmetic
List of mathematical logic topics
List_of_mathematical_logic_topics
proves the undecidability of the uniform word problem for groups. 1959 - Saul Kripke develops a semantics for quantified S5 based on multiple models. 1959
Timeline of mathematical logic
Timeline_of_mathematical_logic
Group whose Cayley graph is an initially subamenable graph
amenable groups (that is, an initially subamenable group) is necessarily sofic, but there exist sofic groups that are not initially subamenable groups. As
Sofic_group
Israeli mathematician
solution in mid-1990s of the isomorphism problem for torsion-free word-hyperbolic groups. The machinery of group actions on real trees, developed by Eliyahu
Zlil_Sela
String rewriting system
monoid. Thus they constitute a natural framework for solving the word problem for monoids and groups. An SRS can be defined directly as an abstract rewriting
Semi-Thue_system
Thought experiment in ethics
The trolley problem is a thought experiment in moral philosophy and moral psychology with many variations, involving hypothetical ethical dilemmas about
Trolley_problem
from Yorkshire who worked in combinatorial group theory and was an expert on the word problem for groups. Britton was a member of the London Mathematical
John_Britton_(mathematician)
on the set of generators. Automatic groups have word problem solvable in quadratic time. More strongly, a given word can actually be put into canonical
Automatic_group
If G is a finitely generated group with exponent n, is G necessarily finite?
just a group with exponent n. The Burnside problem for groups with bounded exponent asks: Burnside problem I. If G is a finitely generated group with exponent
Burnside_problem
English-language vulgarism
catchphrase for actor Samuel L. Jackson, who frequently utters the word in some films. His use of the word helped him overcome a lifelong stuttering problem. The
Motherfucker
Soviet mathematician (1901–1975)
Novikov is known for his work on combinatorial problems in group theory: the word problem for groups, and his progress in the Burnside problem. In 1955, he
Pyotr_Novikov
Type of topological space
least as hard as the word problem in group theory, which is known to be algorithmically undecidable. In fact, there is no algorithm for deciding whether a
Topological_manifold
Mathematical concept
in all degrees, or equivalently, in degree 2. Hyperbolic groups have a solvable word problem. They are biautomatic and automatic. Indeed, they are strongly
Hyperbolic_group
Term with multiple meanings
mixed-gender groups, though subjects report using pussy more often than other slang terms for female genitals. There are women seeking to reclaim the word to symbolise
Pussy
Content management system
notified WordPress developers, and within six days WordPress released a high-priority patch to version 4.7.2, which addressed the problem. As of WordPress
WordPress
Methods devised to encourage creative actions
These methods include word games, written exercises and different types of improvisation, or algorithms for approaching problems. Aleatory techniques exploiting
Creativity_techniques
23 mathematical problems stated in 1900
and several proved to be very influential for 20th-century mathematics. Hilbert presented ten of the problems (1, 2, 6, 7, 8, 13, 16, 19, 21, and 22) at
Hilbert's_problems
Mathematical conjecture
length and one for words of odd length, can never be synchronized. Given a DFA, the problem of determining if it has a synchronizing word can be solved
Synchronizing_word
German-American mathematician (1878–1952)
and used it in his work on the word and conjugacy problems for groups. The notion of a Dehn function in geometric group theory, which estimates the area
Max_Dehn
Problem caused by profanity filters on the Internet
Hotmail because it contains the substring cock, a slang word for the penis. Separately, he had problems with his workplace email because his job title, software
Scunthorpe_problem
Philosophical concept
treatment of the hard problem, in which he elaborated on his core arguments and responded to counterarguments. His use of the word easy is "tongue-in-cheek"
Hard_problem_of_consciousness
Geometric group theory
properties regarding its finite quotient groups, its Dehn function and the complexity of its word problem. The group is given by the presentation G = ⟨ a
Baumslag–Gersten_group
1992 book on abstract algebra
Word Processing in Groups is a monograph in mathematics on the theory of automatic groups, a type of abstract algebra whose operations are defined by
Word_Processing_in_Groups
Unsolved problem in computer science
Unsolved problem in computer science If the solution to a problem can be checked in polynomial time, must the problem be solvable in polynomial time? More
P_versus_NP_problem
Intense period of design or planning activity
activity. The word charrette may refer to any collaborative process by which a group of designers draft a solution to a design problem, and in a broader
Charrette
presented group with algorithmically undecidable word problem. Indeed, it is fairly easy to construct a finitely generated recursively presented group with
Higman's_embedding_theorem
1981 studio album by Toni Basil
Z", deleting "Hanging Around". Word of Mouth was certified Gold by the RIAA. Basil also released a video album for Word of Mouth. The lead single "Mickey"
Word of Mouth (Toni Basil album)
Word_of_Mouth_(Toni_Basil_album)
Individual being
to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a
Person
Smallest cardinality of a generating set for a group
rank problem is undecidable for word hyperbolic groups. The rank problem is decidable for torsion-free Kleinian groups. The rank problem is open for finitely
Rank_of_a_group
Development of a mechanized state of mind
of novel problems. In the Luchins' experiment, subjects were divided into two groups. The experimental group was given five practice problems, followed
Einstellung_effect
Undecidability theorem in group theory
group. Being a word-hyperbolic group. Being a torsion-free group. Being a polycyclic group. Being a group with a solvable word problem. Being a residually
Adian–Rabin_theorem
Undecidable decision problem introduced by Emil Post
correspondence problem is an undecidable decision problem that was introduced by Emil Post in 1946. Because it is simpler than the halting problem and the
Post_correspondence_problem
Area in mathematics devoted to the study of finitely generated groups
in the solution of the isomorphism problem for word-hyperbolic groups. The notion of a relatively hyperbolic groups was originally introduced by Gromov
Geometric_group_theory
2019 American drama television series
The L Word: Generation Q is an American drama television series produced by Showtime that premiered on December 8, 2019, and ran for three seasons, ending
The_L_Word:_Generation_Q
Word processing application
leader of word processors, displacing the previous market leader, WordStar. It was originally developed under contract at Brigham Young University for use on
WordPerfect
Video game genre
of puzzles can test problem-solving skills, including logic, pattern recognition, sequence solving, spatial recognition, and word completion. Many puzzle
Puzzle_video_game
Personal pronoun to denote the interlocutor
In Modern English, the word "you" is the second-person pronoun. It is grammatically plural, and was historically used only for the dative case, but in
You
include Word 2007, Word 2010, Word 2013, Word 2016, and most recently, Word for Office 365. In 1986, an agreement between Atari and Microsoft brought Word to
History_of_Microsoft_Word
Permutation of the elements of a set in which no element appears in its original position
generalization is the following problem: How many anagrams with no fixed letters of a given word are there? For instance, for a word made of only two different
Derangement
Word processor application
WordStar is a discontinued word processor application for microcomputers. It was published by MicroPro International and originally written for the CP/M-80
WordStar
Person skilled in information technology
has also been used positively for people who explore technical systems creatively and understand them deeply. The word has also influenced related terms
Hacker
Suddenly understanding a problem or concept
human experience of suddenly understanding a previously incomprehensible problem or concept. Some research describes the Aha! effect (also known as insight
Eureka_effect
Mathematics concept
factorization of elements of the automorphism group of a free group Normal form for free groups and free product of groups Free product von Dyck, Walther (1882)
Free_group
Computer bugs related to the year 2000
term Year 2000 problem, or simply Y2K, refers to potential computer errors related to the formatting and storage of calendar data for dates in and after
Year_2000_problem
Fifteen problems in mathematical physic
Artur Avila won a Fields Medal for work including the solution of three Simon problems. Among these was the problem of proving that the set of energy
Simon_problems
Term referring to a non-Jew
Gentile (/ˈdʒɛntaɪl/) is a word that today usually means someone who is not Jewish. Other groups that also claim Israelite heritage, notably Mormons,
Gentile
Group whose operation is a composition of braids
generators. There is also a package called CHEVIE for GAP3 with special support for braid groups. The word problem is also efficiently solved via the Lawrence–Krammer
Braid_group
Open problem on 3x+1 and x/2 functions
Unsolved problem in mathematics For even numbers, divide by 2; For odd numbers, multiply by 3 and add 1. With enough repetition, do all positive integers
Collatz_conjecture
Family of infinite discrete groups
mathematical area of group theory, Artin groups, also known as Artin–Tits groups or generalized braid groups, are a family of infinite discrete groups defined by
Artin–Tits_group
Group type in algebra
molecular knots The word problem for a finitely generated group is the decision problem of whether two words in the generators of the group represent the same
Finitely_generated_group
On lattices and sphere packing in Euclidean space
The first question in Hilbert's problem asks whether there are only finitely many essentially different space groups in n {\displaystyle n} -dimensional
Hilbert's_eighteenth_problem
Group word game to teach mathematical division
Fizz buzz is a group word game for children to teach them about division. Players take turns to count incrementally, replacing any number divisible by
Fizz_buzz
Secure multi-party computation protocol
this problem are often referred to as DC-nets (where DC stands for "dining cryptographers"). Despite the word dining, the dining cryptographers problem is
Dining_cryptographers_problem
Branch of mathematics that studies the properties of groups
can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced
Group_theory
Socially offensive form of language
used for the same purpose without causing offense or being considered impolite if they are obscured (e.g. "fuck" becomes "f***" or "the f-word") or substituted
Profanity
Index of animals with the same common name
grouping for larger-sized species of Corvus. The collective name for a group of crows is a "murder". Crows are highly intelligent birds known for problem solving
Crow
Human writing practice
language processing. The problem is non-trivial, because while some written languages have explicit word boundary markers, such as the word spaces of written
Text_segmentation
Creative process of generating, developing, and communicating new ideas
solutions to a problem, allowing for a more immersive and realistic exploration of potential solutions. The process can be used alone or in groups, and is often
Ideation_(creative_process)
Question about single-shape aperiodic tiling
Such a shape is called an einstein, a word play on ein Stein, German for "one stone". Several variants of the problem, depending on the particular definitions
Einstein_problem
Word used to describe a person who is 13 to 19 years old
criticized the term for how many negative connotations it has for a word that is merely intended to describe the numeric order of an age group, bringing attention
Teenager_(word)
Element of algebraic structure
hence has solvable word problem and conjugacy problem. Examples of such groups include braid groups and, more generally, Artin groups of finite Coxeter
Garside_element
Oral puzzle guessing game
coined by Edward de Bono in the 1960s and 1970s, to denote a creative problem-solving style that involves looking at the given situation from unexpected
Situation_puzzle
WORD PROBLEM-FOR-GROUPS
WORD PROBLEM-FOR-GROUPS
Boy/Male
Muslim
Problem solver
Male
English
English surname transferred to forename use, from the Old English word ford, FORD means "ford, river crossing."
Boy/Male
Hindu, Indian
Problem
Boy/Male
American, Australian, British, Christian, English, Jamaican, Shakespearean
From the River Crossing
Surname or Lastname
Scottish
Scottish : habitational name from the lands of Work in the parish of St. Ola, Orkney.English : from Old English (ge)weorc ‘work’, ‘fortification’, hence probably a topographic name or an occupational name for someone who worked on fortifications or at a fort.Danish : habitational name from a place so called.
Surname or Lastname
English
English : nickname from the vocabulary word lord, presumably for someone who behaved in a lordly manner, or perhaps one who had earned the title in some contest of skill or had played the part of the ‘Lord of Misrule’ in the Yuletide festivities. It may also have been an occupational name for a servant in the household of the lord of the manor, or possibly a status name for a landlord or the lord of the manor himself. The word itself derives from Old English hlÄford, earlier hlÄf-weard, literally ‘loaf-keeper’, since the lord or chief of a clan was responsible for providing food for his dependants.Irish : English name adopted as a translation of the main element of Gaelic Ó Tighearnaigh (see Tierney) and Mac Thighearnáin (see McKiernan).French : nickname from Old French l’ord ‘the dirty one’.Possibly an altered spelling of Laur.The French name is particularly associated with Acadia in Canada, around 1760.
Surname or Lastname
English and Scottish
English and Scottish : mainly a topographic name for someone who lived in or by a wood or a metonymic occupational name for a woodcutter or forester, from Middle English wode ‘wood’ (Old English wudu).English and Scottish : nickname for a mad, eccentric, or violent person, from Middle English wÅd ‘mad’, ‘frenzied’ (Old English wÄd), as in Adam le Wode, Worcestershire 1221.
Surname or Lastname
English
English : topographic name for someone who lived near a ford, Middle English, Old English ford, or a habitational name from one of the many places named with this word, such as Ford in Northumberland, Shropshire, and West Sussex, or Forde in Dorset.Irish : Anglicized form (quasi-translation) of various Gaelic names, for example Mac Giolla na Naomh ‘son of Gilla na Naomh’ (a personal name meaning ‘servant of the saints’), Mac Conshámha ‘son of Conshnámha’ (a personal name composed of the elements con ‘dog’ + snámh ‘to swim’), in all of which the final syllable was wrongly thought to be áth ‘ford’, and Ó Fuar(th)áin (see Foran).Jewish : Americanized form of one or more like-sounding Jewish surnames.Translation of German Fürth (see Furth).
Boy/Male
Arabic, Indian, Muslim
Problem Solver
Female
Scandinavian
Short form of Scandinavian Tordis, TORD means "Thor's goddess" or "Thor's woman."
Boy/Male
American, British, Danish, English, Finnish, German, Swedish
Bold Adviser; Wise; Courageous Advice; Cord Maker; Wise Counsel; Honest Adviser; Surname
Surname or Lastname
English
English : occupational name for a watchman or guard, from Old English weard ‘guard’ (used as both an agent noun and an abstract noun).Irish : reduced form of McWard, an Anglicized form of Gaelic Mac an Bhaird ‘son of the poet’. The surname occurs throughout Ireland, where three different branches of the family are known as professional poets.Surname adopted by bearers of the Jewish surname Warshawski, Warshawsky or some other Jewish name bearing some similarity to the English name.Americanized form of French Guerin.The surname Ward was brought to North America from England independently by several different bearers in the 17th and 18th centuries. Nathaniel Ward (1578–1652), author of the MA legal code, was born in Haverhill, Suffolk, England, and emigrated to Agawam (Ipswich, MA) in 1633. William Ward was one of the original settlers of Sudbury, MA, in about 1638. Miles Ward came from England to Salem, MA, in about 1639. Thomas Ward (d. 1689) settled in Newport, RI, in 1671; among his descendants were two governors of colonial RI.
Boy/Male
English American Shakespearean
River crossing.
Male
English
Short form of English Gordon, GORD means "spacious fort."
Surname or Lastname
English (Northumbria) and Scottish
English (Northumbria) and Scottish : habitational name from East Ord in Northumberland, named with Old English ord ‘point’. Compare Ort 3.English : from a Germanic personal name (see Ort 2).Scottish : habitational name from various minor places named with Gaelic ord ‘hammer’, used as a topographical term for a rounded hill.
Girl/Female
Bengali, Indian
Eternity; Problem Solver
Girl/Female
Indian, Telugu
Destroyer of Problems
Surname or Lastname
German (Wörl)
German (Wörl) : variant of Wehrle.English : perhaps a habitational name for someone from Worle in Somerset, which is most probably named with Old English wÅr ‘wood grouse’ + lÄ“ah ‘wood’, ‘(woodland) clearing’.
Girl/Female
Shakespearean
The Merry Wives of Windsor' Mistress Ford.
Surname or Lastname
Norwegian
Norwegian : variant spelling of Vold (see Voll).English : topographic name for someone who lived on any of the areas of open upland known from Middle English times onwards as wolds (e.g. the Yorkshire Wolds or the Cotswolds). This term derives from Old English wald ‘forest’ (see Wald). After the extensive clearance of forests in England, from before the Norman Conquest onward, the Old English term wald came to denote open uplands (wolds) in Middle English in certain areas of England.
WORD PROBLEM-FOR-GROUPS
WORD PROBLEM-FOR-GROUPS
Male
Spanish
 Spanish name ANBESSA means "lion."
Girl/Female
Indian
Dignified
Surname or Lastname
English
English : topographic name for someone who lived on a heath, from Middle English hÅth ‘heath’, Old English hÄð, a byform of hǣð (see Heath). This form was restricted in the Middle Ages to southeastern England, and the surname is still largely confined to Kent and Sussex. In some cases it may be a habitational name from the village of Hoath in Kent, which is named with this word.
Boy/Male
Tamil
Veydant | வேதாநà¯à®¤
Sum of the Vedas
Girl/Female
Arabic, Muslim
Crown
Girl/Female
Assamese, Bengali, Czech, Gujarati, Hindu, Indian, Malayalam, Marathi, Mythological, Oriya, Traditional
Wife of the Lord of the Sea; Foreign; Strange
Girl/Female
Hindu, Indian
Lovely; Beautiful
Boy/Male
Arabic, Muslim, Pashtun
Small; Minor; Submissive; Yielding; Short
Girl/Female
American, Anglo, British, Christian, English, Indian, Jamaican
Noble Strength
Girl/Female
Hindu
Pearl, Precious stone or gem
WORD PROBLEM-FOR-GROUPS
WORD PROBLEM-FOR-GROUPS
WORD PROBLEM-FOR-GROUPS
WORD PROBLEM-FOR-GROUPS
WORD PROBLEM-FOR-GROUPS
v. t.
To ply with words; also, to cause to be by the use of a word or words.
v. t.
To arrange (wood, etc.) in a pile for measurement by the cord.
v. t.
To flatter with words; to cajole.
n.
Prowler; thief.
adv.
With close adherence to words; word by word.
superl.
Using many words; verbose; as, a wordy speaker.
v. i.
To use words, as in discussion; to argue; to dispute.
v. i.
A stream; a current.
superl.
Of or pertaining to words; consisting of words; verbal; as, a wordy war.
v. t.
To express in words; to phrase.
v. i.
A place in a river, or other water, where it may be passed by man or beast on foot, by wading.
n.
A title bestowed on the persons above named; and also, for honor, on certain official persons; as, lord advocate, lord chamberlain, lord chancellor, lord chief justice, etc.
n.
Same as Proleg.
v. i.
To work, as at a puzzle; as, to puzzle over a problem.
v. t.
To pass or cross, as a river or other water, by wading; to wade through.
superl.
Containing many words; full of words.
v. t.
To supply with wood, or get supplies of wood for; as, to wood a steamboat or a locomotive.
n.
The word or words governed.
imp. & p. p.
of Probe
v. t.
To produce or form by labor; to bring forth by exertion or toil; to accomplish; to originate; to effect; as, to work wood or iron into a form desired, or into a utensil; to work cotton or wool into cloth.