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algebra
     1. n. (mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
     2. n. (medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also : a dislocation or fracture.
     3. n. (mathematics) The study of algebraic structures.
     4. n. (mathematics) A universal algebra.
     5. n. (algebra) An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addi
           Synonyms: algebra over a field, algebra over a ring
     6. n. (set theory, analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under inter
           Synonyms: field of sets
     7. n. (mathematics) One of several other types of mathematical structure.
     8. n. (figurative) A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.
ring
     1. n. (physical) A solid object in the shape of a circle.
     2. n.          A circumscribing object, (roughly) circular and hollow, looking like an annual ring, earring, finger ring etc.
     3. n.          A round piece of (precious) metal worn around the finger or through the ear, nose, etc.
     4. n.          (British) A bird band, a round piece of metal put around a bird's leg used for identification and studies of migration.
     5. n.          (UK) A burner on a kitchen stove.
     6. n.          In a jack plug, the connector between the tip and the sleeve.
     7. n.          An instrument, formerly used for taking the sun's altitude, consisting of a brass ring suspended by a swivel, with a hole at one side through which a s
     8. n.          (botany) A flexible band partly or wholly encircling the spore cases of ferns.
     9. n. (physical) A group of objects arranged in a circle.
     10. n.          A circular group of people or objects.
                   a ring of mushrooms growing in the wood
     11. n.          (astronomy) A formation of various pieces of material orbiting around a planet.
     12. n.          (British) A large circular prehistoric stone construction such as Stonehenge.
     13. n. A piece of food in the shape of a ring.
           onion rings
     14. n. A place where some sports or exhibitions take place; notably a circular or comparable arena, such as a boxing ring or a circus ring; hence the field of a political contest.
     15. n. An exclusive group of people, usually involving some unethical or illegal practices.
           a crime ring; a prostitution ring; a bidding ring (at an auction sale)
     16. n. (chemistry) A group of atoms linked by bonds to form a closed chain in a molecule.
           a benzene ring
     17. n. (geometry) A planar geometrical figure included between two concentric circles.
     18. n. (typography) A diacritical mark in the shape of a hollow circle placed above or under the letter; a kroužek.
     19. n. (historical) An old English measure of corn equal to the coomb or half a quarter.
     20. n. (computing theory) A hierarchical level of privilege in a computer system, usually at hardware level, used to protect data and functionality (also protection ring).
     21. n. (firearms) Either of the pair of clamps used to hold a telescopic sight to a rifle.
     22. n. (cartomancy) The twenty-fifth Lenormand card.
     23. v. To surround or enclose.
           The inner city was ringed with dingy industrial areas.
     24. v. (transitive, figuratively) To make an incision around; to girdle.
           They ringed the trees to make the clearing easier next year.
     25. v. To attach a ring to, especially for identification.
           We managed to ring 22 birds this morning.
     26. v. To surround or fit with a ring, or as if with a ring.
           to ring a pig's snout
     27. v. (falconry) To rise in the air spirally.
     28. n. The resonant sound of a bell, or a sound resembling it.
           The church bell's ring could be heard the length of the valley.
           The ring of hammer on anvil filled the air.
     29. n. (figuratively) A pleasant or correct sound.
           The name has a nice ring to it.
     30. n. (figuratively) A sound or appearance that is characteristic of something.
           Her statements in court had a ring of falsehood.
     31. n. (colloquial) A telephone call.
           I’ll give you a ring when the plane lands.
     32. n. Any loud sound; the sound of numerous voices; a sound continued, repeated, or reverberated.
     33. n. A chime, or set of bells harmonically tuned.
           St Mary's has a ring of eight bells.
     34. v. (intransitive) Of a bell, etc., to produce a resonant sound.
           The bells were ringing in the town.
     35. v. To make (a bell, etc.) produce a resonant sound.
           The deliveryman rang the doorbell to drop off a parcel.
     36. v. (intransitive, figuratively) To produce the sound of a bell or a similar sound.
           Whose mobile phone is ringing?
     37. v. (intransitive, figuratively) Of something spoken or written, to appear to be, to seem, to sound.
           That does not ring true.
     38. v. (transitive, colloquial, British, New Zealand) To telephone (someone).
           I will ring you when we arrive.
     39. v. (intransitive) to resound, reverberate, echo.
     40. v. (intransitive) To produce music with bells.
     41. v. (dated) To repeat often, loudly, or earnestly.
     42. n. (algebra) An algebraic structure which consists of a set with two binary operations: an additive operation and a multiplicative operation, such that the set is an abelian group under the additive oper
           The set of integers,\mathbbZ, is the prototypical ring.
     43. n. (algebra) An algebraic structure as above, but only required to be a semigroup under the multiplicative operation, that is, there need not be a multiplicative identity element.
           The definition of ring without unity allows, for instance, the set2\mathbbZ of even integers to be a ring.
theory
     1. n. An description of an event or system that is considered to be accurate.
     2. n. (obsolete) Mental conception; reflection, consideration.
     3. n. (sciences) A coherent statement or set of ideas that explains observed facts or phenomena and correctly predicts new facts or phenomena not previously observed, or which sets out the laws and principl
     4. n. The underlying principles or methods of a given technical skill, art etc., as opposed to its practice.
     5. n. (mathematics) A field of study attempting to exhaustively describe a particular class of constructs.
           Knot theory classifies the mappings of a circle into 3-space.
     6. n. A hypothesis or conjecture.
     7. n. (logic) A set of axioms together with all statements derivable from them; or, a set of statements which are deductively closed. Equivalently, a formal language plus a set of axioms (from which can the
           A theory is consistent if it has a model.
of
     1. prep. Expressing distance or motion.
     2. prep.          (now obsolete, or dialectal) From (of distance, direction), "off".
     3. prep.          (obsolete except in phrases) Since, from (a given time, earlier state etc.).
     4. prep.          From, away from (a position, number, distance etc.).
                    There are no shops within twenty miles of the cottage.
     5. prep.          (North America, Scotland, Ireland) Before (the hour); to.
                    What's the time? / Nearly a quarter of three.
     6. prep. Expressing separation.
     7. prep.          (Indicating removal, absence or separation, with the action indicated by a transitive verb and the quality or substance by a grammatical object.)
                    Finally she was relieved of the burden of caring for her sick husband.
     8. prep.          (Indicating removal, absence or separation, with resulting state indicated by an adjective.)
                    He seemed devoid of human feelings.
     9. prep.          (obsolete) (Indicating removal, absence or separation, construed with an intransitive verb.)
     10. prep. Expressing origin.
     11. prep.          (Indicating an ancestral source or origin of descent.)
                    The word is believed to be of Japanese origin.
     12. prep.          (Indicating a (non-physical) source of action or emotion; introducing a cause, instigation); from, out of, as an expression of.
                    The invention was born of necessity.
     13. prep.          (following an intransitive verb) (Indicates the source or cause of the verb.)
                    It is said that she died of a broken heart.
     14. prep.          (following an adjective) (Indicates the subject or cause of the adjective.)
                    I am tired of all this nonsense.
     15. prep. Expressing agency.
     16. prep.          (following a passive verb) (Indicates the agent (for most verbs, now usually expressed with by).)
                    I am not particularly enamoured of this idea.
     17. prep.          (Used to introduce the "subjective genitive"; following a noun to form the head of a postmodifying noun phrase) (see also 'Possession' senses below).
                    The contract can be terminated at any time with the agreement of both parties.
     18. prep.          (following an adjective) (Used to indicate the agent of something described by the adjective.)
                    It was very brave of you to speak out like that.
     19. prep. Expressing composition, substance.
     20. prep.          (after a verb expressing construction, making etc.) (Used to indicate the material or substance used.)
                    Many 'corks' are now actually made of plastic.
     21. prep.          (directly following a noun) (Used to indicate the material of the just-mentioned object.)
                    She wore a dress of silk.
     22. prep.          (Indicating the composition of a given collective or quantitative noun.)
                    What a lot of nonsense!
     23. prep.          (Used to link a given class of things with a specific example of that class.)
                   Welcome to the historic town of Harwich.
     24. prep.          (Links two nouns in near-apposition, with the first qualifying the second); "which is also".
                    I'm not driving this wreck of a car.
     25. prep. Introducing subject matter.
     26. prep.          (Links an intransitive verb, or a transitive verb and its subject (especially verbs to do with thinking, feeling, expressing etc.), with its subject-ma
                    I'm always thinking of you.
     27. prep.          (following a noun (now chiefly nouns of knowledge, communication etc.)) (Introduces its subject matter); about, concerning.
                    He told us the story of his journey to India.
     28. prep.          (following an adjective) (Introduces its subject matter.)
                    This behaviour is typical of teenagers.
     29. prep. Having partitive effect.
     30. prep.          (following a number or other quantitive word) (Introduces the whole for which is indicated only the specified part or segment); "from among".
                    Most of these apples are rotten.
     31. prep.          (following a noun) (Indicates a given part.)
     32. prep.          (now archaic, literary, with preceding partitive word assumed, or as a predicate after to be) Some, an amount of, one of.
                    On the whole, they seem to be of the decent sort.
     33. prep.          (Links to a genitive noun or possessive pronoun, with partitive effect (though now often merged with possessive senses, below).)
                    He is a friend of mine.
     34. prep. Expressing possession.
     35. prep.          Belonging to, existing in, or taking place in a given location, place or time. Compare "origin" senses, above.
                    He was perhaps the most famous scientist of the twentieth century.
     36. prep.          Belonging to (a place) through having title, ownership or control over it.
                    The owner of the nightclub was arrested.
     37. prep.          Belonging to (someone or something) as something they possess or have as a characteristic; (the "possessive genitive". (With abstract nouns, this inter
                    Keep the handle of the saucepan away from the flames.
     38. prep. Forming the "objective genitive".
     39. prep.          (Follows an agent noun, verbal noun or noun of action.)
                    She had a profound distrust of the police.
     40. prep. Expressing qualities or characteristics.
     41. prep.          (now archaic, or literary) (Links an adjective with a noun or noun phrase to form a quasi-adverbial qualifier); in respect to, as regards.
                    My companion seemed affable and easy of manner.
     42. prep.          (Indicates a quality or characteristic); "characterized by".
                    Pooh was said to be a bear of very little brain.
     43. prep.          (Indicates quantity, age, price, etc.)
                    We have been paying interest at a rate of 10%.
     44. prep.          (US, informal considered incorrect by some) (Used to link singular indefinite nouns (preceded by the indefinite article) and attributive adjectives mod
                    It's not that big of a deal.
     45. prep. Expressing a point in time.
     46. prep.          (chiefly regional) During the course of (a set period of time, day of the week etc.), now specifically with implied repetition or regularity.
                    Of an evening, we would often go for a stroll along the river.
     47. prep.          (UK dialectal, chiefly in negative constructions) For (a given length of time).
                    I've not tekken her out of a goodly long while.
     48. prep.          (after a noun) (Indicates duration of a state, activity etc.)
                    After a delay of three hours, the plane finally took off.
a
     1. art. One; any indefinite example of; used to denote a singular item of a group.
           There was a man here looking for you yesterday.
     2. art. Used in conjunction with the adjectives score, dozen, hundred, thousand, and million, as a function word.
           I've seen it happen a hundred times.
     3. art. One certain or particular; any single.Brown, Lesley, (2003)
           We've received an interesting letter from a Mrs. Miggins of London.
     4. art. The same; one.
           We are of a mind on matters of morals.
     5. art. Any, every; used before a noun which has become modified to limit its scope; also used with a negative to indicate not a single one.Lindberg, Christine A. (2007)
           A man who dies intestate leaves his children troubles and difficulties.
           He fell all that way, and hasn't a bump on his head?
     6. art. Used before plural nouns modified by few, good many, couple, great many, etc.
     7. art. Someone or something like; similar to; Used before a proper noun to create an example out of it.
           The center of the village was becoming a Times Square.
     8. prep. (archaic) To do with position or direction; In, on, at, by, towards, onto.
           Stand a tiptoe.
     9. prep. To do with separation; In, into.
           Torn a pieces.
     10. prep. To do with time; Each, per, in, on, by.
           I brush my teeth twice a day.
     11. prep. (obsolete) To do with method; In, with.
     12. prep. (obsolete) To do with role or capacity; In.
           A God’s name.
     13. prep. To do with status; In.
           King James Bible (II Chronicles 2:18)
             To set the people a worke.
     14. prep. (archaic) To do with process, with a passive verb; In the course of, experiencing.
           1964, Bob Dylan, The Times They Are a-Changin’
             The times, they are a-changin'.
     15. prep. (archaic) To do with an action, an active verb; Engaged in.
           1611, King James Bible, Hebrews 11-21
             Jacob, when he was a dying
     16. prep. (archaic) To do with an action/movement; To, into.
     17. v. (archaic, or slang) Have.
           I'd a come, if you'd a asked.
     18. pron. (obsolete, outside, England, and Scotland dialects) He.
     19. interj. A meaningless syllable; ah.
     20. prep. (archaic, slang) Of.
           The name of John a Gaunt.
     21. adv. (chiefly Scotland) All.
     22. adj. (chiefly Scotland) All.
polynomial
     1. n. (algebra, strict sense) An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer
     2. n. (taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.
     3. adj. (algebra) Able to be described or limited by a polynomial.
     4. adj. (taxonomy) of a polynomial name or entity
with
     1. prep. Against.
           He picked a fight with the class bully.
     2. prep. In the company of; alongside, close to; near to.
           He went with his friends.
     3. prep. In addition to; as an accessory to.
           She owns a motorcycle with a sidecar.
     4. prep. Used to indicate simultaneous happening, or immediate succession or consequence.
     5. prep. In support of.
           We are with you all the way.
     6. prep. (obsolete) To denote the accomplishment of cause, means, instrument, etc; – sometimes equivalent to by.
           slain with robbers
     7. prep. Using as an instrument; by means of.
           cut with a knife
     8. prep. (obsolete) Using as nourishment; more recently replaced by on.
     9. prep. Having, owning.
     10. adv. Along, together with others, in a group, etc.
           Do you want to come with?
     11. adv. -->
     12. n. alternative form of withe
coefficients
     1. n. plural of coefficient
in
     1. prep. Used to indicate location, inclusion, or position within spatial, temporal or other limits.
     2. prep.          Contained by.
                   The dog is in the kennel.
     3. prep.          Within.
     4. prep.          Surrounded by.
                   We are in the enemy camp.   Her plane is in the air.
     5. prep.          Part of; a member of.
                   One in a million.   She's in band and orchestra.
     6. prep.          Pertaining to; with regard to.
                   What grade did he get in English?
                   Military letters should be formal in tone, but not stilted.
     7. prep.          At the end of a period of time.
                   They said they would call us in a week.
     8. prep.          Within a certain elapsed time
                   Are you able to finish this in three hours?   The massacre resulted in over 1000 deaths in three hours.
     9. prep.          During (said of periods of time).
                   in the first week of December;  Easter falls in the fourth lunar month;   The country reached a high level of prosperity in his fi
     10. prep.          (grammar, phonetics, of sounds and letters) Coming at the end of a word.
                   English nouns in -ce form their plurals in -s.
     11. prep. Into.
           Less water gets in your boots this way.
     12. prep. Used to indicate limit, qualification, condition, or circumstance.
           In replacing the faucet washers, he felt he was making his contribution to the environment.
     13. prep.          Indicating an order or arrangement.
                   My fat rolls around in folds.
     14. prep.          Denoting a state of the subject.
                   He stalked away in anger.   John is in a coma.
     15. prep.          Indicates, connotatively, a place-like form of someone's (or something's) personality, as his, her or its psychic and physical characteristics.
                   You've got a friend in me.   He's met his match in her.
     16. prep.          Wearing (an item of clothing).
                    I glanced over at the pretty girl in the red dress.
     17. prep. Used to indicate means, medium, format, genre, or instrumentality.
     18. prep.          (of something offered or given in an exchange) In the form of, in the denomination of.
                   Please pay me in cash — preferably in tens and twenties.
                   The deposit can be in any legal tender, even in gold.
                    Her generosity was rewarded in the success of its recipients.
     19. prep.          Used to indicate a language, script, tone, etc. of a text, speech, etc.
                   Beethoven's "Symphony No. 5" in C minor is among his most popular.
                   His speech was in French, but was simultaneously translated into eight languages.
                   When you write in cursive, it's illegible.
     20. v. (obsolete, transitive) To enclose.
     21. v. (obsolete, transitive) To take in; to harvest.
     22. adv. (not comparable) Located indoors, especially at home or the office, or inside something.
           Is Mr. Smith in?
     23. adv. Moving to the interior of a defined space, such as a building or room.
           Suddenly a strange man walked in.
     24. adv. (sports) Still eligible to play, e.g. able to bat in cricket and baseball.
           He went for the wild toss but wasn't able to stay in.
     25. adv. (UK) Abbreviation of in aid of.
           What's that in?
     26. adv. After the beginning of something.
     27. n. A position of power or a way to get it.
           His parents got him an in with the company
     28. n. (sport) The state of a batter/batsman who is currently batting – see innings
     29. n. A re-entrant angle; a nook or corner.
     30. adj. In fashion; popular.
           Skirts are in this year.
     31. adj. Incoming.
           the in train
     32. adj. (nautical, of the sails of a vessel) Furled or stowed.
     33. adj. (legal) With privilege or possession; used to denote a holding, possession, or seisin.
           in by descent; in by purchase; in of the seisin of her husband
     34. adj. (cricket) Currently batting.
     35. n. Inch.
a
     1. art. One; any indefinite example of; used to denote a singular item of a group.
           There was a man here looking for you yesterday.
     2. art. Used in conjunction with the adjectives score, dozen, hundred, thousand, and million, as a function word.
           I've seen it happen a hundred times.
     3. art. One certain or particular; any single.Brown, Lesley, (2003)
           We've received an interesting letter from a Mrs. Miggins of London.
     4. art. The same; one.
           We are of a mind on matters of morals.
     5. art. Any, every; used before a noun which has become modified to limit its scope; also used with a negative to indicate not a single one.Lindberg, Christine A. (2007)
           A man who dies intestate leaves his children troubles and difficulties.
           He fell all that way, and hasn't a bump on his head?
     6. art. Used before plural nouns modified by few, good many, couple, great many, etc.
     7. art. Someone or something like; similar to; Used before a proper noun to create an example out of it.
           The center of the village was becoming a Times Square.
     8. prep. (archaic) To do with position or direction; In, on, at, by, towards, onto.
           Stand a tiptoe.
     9. prep. To do with separation; In, into.
           Torn a pieces.
     10. prep. To do with time; Each, per, in, on, by.
           I brush my teeth twice a day.
     11. prep. (obsolete) To do with method; In, with.
     12. prep. (obsolete) To do with role or capacity; In.
           A God’s name.
     13. prep. To do with status; In.
           King James Bible (II Chronicles 2:18)
             To set the people a worke.
     14. prep. (archaic) To do with process, with a passive verb; In the course of, experiencing.
           1964, Bob Dylan, The Times They Are a-Changin’
             The times, they are a-changin'.
     15. prep. (archaic) To do with an action, an active verb; Engaged in.
           1611, King James Bible, Hebrews 11-21
             Jacob, when he was a dying
     16. prep. (archaic) To do with an action/movement; To, into.
     17. v. (archaic, or slang) Have.
           I'd a come, if you'd a asked.
     18. pron. (obsolete, outside, England, and Scotland dialects) He.
     19. interj. A meaningless syllable; ah.
     20. prep. (archaic, slang) Of.
           The name of John a Gaunt.
     21. adv. (chiefly Scotland) All.
     22. adj. (chiefly Scotland) All.
gcd
     1. n. (mathematics) (initialism of greatest common divisor)
domain
     1. n. A geographic area owned or controlled by a single person or organization.
           The king ruled his domain harshly.
     2. n. A field or sphere of activity, influence or expertise.
           Dealing with complaints isn't really my domain: get in touch with customer services.
           His domain is English history.
     3. n. A group of related items, topics, or subjects.
     4. n. (mathematics) The set of all possible mathematical entities (points) where a given function is defined.
     5. n. (mathematics, set theory) The set of input (argument) values for which a function is defined.
     6. n. (mathematics) A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
           (hyponyms, en, integral domain)
     7. n. (mathematics, topology, analysis) An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
     8. n. (computing, Internet) Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
     9. n. (computing, Internet) A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
     10. n. (computing) A collection of information having to do with a domain, the computers named in the domain, and the network on which the computers named in the domain reside.
     11. n. (computing) The collection of computers identified by a domain's domain names.
     12. n. (physics) A small region of a magnetic material with a consistent magnetization direction.
     13. n. (computing) Such a region used as a data storage element in a bubble memory.
     14. n. (data processing) A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
     15. n. , url=http://www-01.ibm.com/software/globalization/terminology/d.html
     16. n. , accessdate=2013-12-29
     17. n. (taxonomy) The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
     18. n. (biochemistry) A folded section of a protein molecule that has a discrete function.
the
     1. art. Definite grammatical article that implies necessarily that an entity it articulates is presupposed; something already mentioned, or completely specified later in that same sentence, or assumed already
           I’m reading the book. (Compare I’m reading a book.)
           The street in front of your house. (Compare A street in Paris.)
           The men and women watched the man give the birdseed to the bird.
     2. art.          Used before a noun modified by a restrictive relative clause, indicating that the noun refers to a single referent defined by the relative clause.
                    The street that runs through my hometown.
     3. art. Used before an object considered to be unique, or of which there is only one at a time.
           No one knows how many galaxies there are in the universe.
           God save the Queen!
     4. art. Used before a superlative or an ordinal number modifying a noun, to indicate that the noun refers to a single item.
           That was the best apple pie ever.
     5. art.          Added to a superlative or an ordinal number to make it into a substantive.
                    That apple pie was the best.
     6. art. Introducing a singular term to be taken generically: preceding a name of something standing for a whole class.
     7. art. Used before an adjective, indicating all things (especially persons) described by that adjective.
           Feed the hungry, clothe the naked, comfort the afflicted, and afflict the comfortable.
     8. art. Used to indicate a certain example of (a noun) which is usually of most concern or most common or familiar.
           No one in the whole country had seen it before.
           I don't think I'll get to it until the morning.
     9. art. Used before a body part (especially of someone previously mentioned), as an alternative to a possessive pronoun.
           A stone hit him on the head. (= “A stone hit him on his head.”)
     10. art. When stressed, indicates that it describes an object which is considered to be best or exclusively worthy of attention.
           That is the hospital to go to for heart surgery.
     11. adv. 1=With a comparative ormore and a verb phrase, establishes a parallel with one or more other such comparatives.
           The hotter the better.
           The more I think about it, the weaker it looks.
           The more money donated, the more books purchased, and the more happy children.
           It looks weaker and weaker, the more I think about it.
     12. adv. 1=With a comparative, and often withfor it, indicates a result more like said comparative. This can be negated withnone.
           It was a difficult time, but I’m the wiser for it.
           It was a difficult time, and I’m none the wiser for it.
           I'm much the wiser for having had a difficult time like that.
greatest
     1. adj. superlative form of great: most great
common
     1. adj. Mutual; shared by more than one.
           The two competitors have the common aim of winning the championship.
           Winning the championship is an aim common to the two competitors.
     2. adj. Occurring or happening regularly or frequently; usual.
           It is common to find sharks off this coast.
     3. adj. Found in large numbers or in a large quantity.
           Sharks are common in these waters.
     4. adj. Simple, ordinary or vulgar.
     5. adj. (grammar) In some languages, particularly Germanic languages, of the gender originating from the coalescence of the masculine and feminine categories of nouns.
     6. adj. (grammar) Of or pertaining to common nouns as opposed to proper nouns.
     7. adj. Vernacular, referring to the name of a kind of plant or animal, i.e., common name vs. scientific name.
     8. adj. (obsolete) Profane; polluted.
     9. adj. (obsolete) Given to lewd habits; prostitute.
     10. n. Mutual good, shared by more than one.
     11. n. A tract of land in common ownership; common land.
     12. n. The people; the community.
     13. n. (legal) The right of taking a profit in the land of another, in common either with the owner or with other persons; so called from the community of interest which arises between the claimant of the ri
     14. v. (obsolete) To communicate (something).
     15. v. (obsolete) To converse, talk.
     16. v. (obsolete) To have sex.
     17. v. (obsolete) To participate.
     18. v. (obsolete) To have a joint right with others in common ground.
     19. v. (obsolete) To board together; to eat at a table in common.
divisor
     1. n. (arithmetic) A number or expression that another is to be divided by.
           In "42 ÷ 3" the divisor is the 3.
     2. n. An integer that divides another integer an integral number of times.
           The positive divisors of 6 are 1, 2 and 3.
of
     1. prep. Expressing distance or motion.
     2. prep.          (now obsolete, or dialectal) From (of distance, direction), "off".
     3. prep.          (obsolete except in phrases) Since, from (a given time, earlier state etc.).
     4. prep.          From, away from (a position, number, distance etc.).
                    There are no shops within twenty miles of the cottage.
     5. prep.          (North America, Scotland, Ireland) Before (the hour); to.
                    What's the time? / Nearly a quarter of three.
     6. prep. Expressing separation.
     7. prep.          (Indicating removal, absence or separation, with the action indicated by a transitive verb and the quality or substance by a grammatical object.)
                    Finally she was relieved of the burden of caring for her sick husband.
     8. prep.          (Indicating removal, absence or separation, with resulting state indicated by an adjective.)
                    He seemed devoid of human feelings.
     9. prep.          (obsolete) (Indicating removal, absence or separation, construed with an intransitive verb.)
     10. prep. Expressing origin.
     11. prep.          (Indicating an ancestral source or origin of descent.)
                    The word is believed to be of Japanese origin.
     12. prep.          (Indicating a (non-physical) source of action or emotion; introducing a cause, instigation); from, out of, as an expression of.
                    The invention was born of necessity.
     13. prep.          (following an intransitive verb) (Indicates the source or cause of the verb.)
                    It is said that she died of a broken heart.
     14. prep.          (following an adjective) (Indicates the subject or cause of the adjective.)
                    I am tired of all this nonsense.
     15. prep. Expressing agency.
     16. prep.          (following a passive verb) (Indicates the agent (for most verbs, now usually expressed with by).)
                    I am not particularly enamoured of this idea.
     17. prep.          (Used to introduce the "subjective genitive"; following a noun to form the head of a postmodifying noun phrase) (see also 'Possession' senses below).
                    The contract can be terminated at any time with the agreement of both parties.
     18. prep.          (following an adjective) (Used to indicate the agent of something described by the adjective.)
                    It was very brave of you to speak out like that.
     19. prep. Expressing composition, substance.
     20. prep.          (after a verb expressing construction, making etc.) (Used to indicate the material or substance used.)
                    Many 'corks' are now actually made of plastic.
     21. prep.          (directly following a noun) (Used to indicate the material of the just-mentioned object.)
                    She wore a dress of silk.
     22. prep.          (Indicating the composition of a given collective or quantitative noun.)
                    What a lot of nonsense!
     23. prep.          (Used to link a given class of things with a specific example of that class.)
                   Welcome to the historic town of Harwich.
     24. prep.          (Links two nouns in near-apposition, with the first qualifying the second); "which is also".
                    I'm not driving this wreck of a car.
     25. prep. Introducing subject matter.
     26. prep.          (Links an intransitive verb, or a transitive verb and its subject (especially verbs to do with thinking, feeling, expressing etc.), with its subject-ma
                    I'm always thinking of you.
     27. prep.          (following a noun (now chiefly nouns of knowledge, communication etc.)) (Introduces its subject matter); about, concerning.
                    He told us the story of his journey to India.
     28. prep.          (following an adjective) (Introduces its subject matter.)
                    This behaviour is typical of teenagers.
     29. prep. Having partitive effect.
     30. prep.          (following a number or other quantitive word) (Introduces the whole for which is indicated only the specified part or segment); "from among".
                    Most of these apples are rotten.
     31. prep.          (following a noun) (Indicates a given part.)
     32. prep.          (now archaic, literary, with preceding partitive word assumed, or as a predicate after to be) Some, an amount of, one of.
                    On the whole, they seem to be of the decent sort.
     33. prep.          (Links to a genitive noun or possessive pronoun, with partitive effect (though now often merged with possessive senses, below).)
                    He is a friend of mine.
     34. prep. Expressing possession.
     35. prep.          Belonging to, existing in, or taking place in a given location, place or time. Compare "origin" senses, above.
                    He was perhaps the most famous scientist of the twentieth century.
     36. prep.          Belonging to (a place) through having title, ownership or control over it.
                    The owner of the nightclub was arrested.
     37. prep.          Belonging to (someone or something) as something they possess or have as a characteristic; (the "possessive genitive". (With abstract nouns, this inter
                    Keep the handle of the saucepan away from the flames.
     38. prep. Forming the "objective genitive".
     39. prep.          (Follows an agent noun, verbal noun or noun of action.)
                    She had a profound distrust of the police.
     40. prep. Expressing qualities or characteristics.
     41. prep.          (now archaic, or literary) (Links an adjective with a noun or noun phrase to form a quasi-adverbial qualifier); in respect to, as regards.
                    My companion seemed affable and easy of manner.
     42. prep.          (Indicates a quality or characteristic); "characterized by".
                    Pooh was said to be a bear of very little brain.
     43. prep.          (Indicates quantity, age, price, etc.)
                    We have been paying interest at a rate of 10%.
     44. prep.          (US, informal considered incorrect by some) (Used to link singular indefinite nouns (preceded by the indefinite article) and attributive adjectives mod
                    It's not that big of a deal.
     45. prep. Expressing a point in time.
     46. prep.          (chiefly regional) During the course of (a set period of time, day of the week etc.), now specifically with implied repetition or regularity.
                    Of an evening, we would often go for a stroll along the river.
     47. prep.          (UK dialectal, chiefly in negative constructions) For (a given length of time).
                    I've not tekken her out of a goodly long while.
     48. prep.          (after a noun) (Indicates duration of a state, activity etc.)
                    After a delay of three hours, the plane finally took off.
the
     1. art. Definite grammatical article that implies necessarily that an entity it articulates is presupposed; something already mentioned, or completely specified later in that same sentence, or assumed already
           I’m reading the book. (Compare I’m reading a book.)
           The street in front of your house. (Compare A street in Paris.)
           The men and women watched the man give the birdseed to the bird.
     2. art.          Used before a noun modified by a restrictive relative clause, indicating that the noun refers to a single referent defined by the relative clause.
                    The street that runs through my hometown.
     3. art. Used before an object considered to be unique, or of which there is only one at a time.
           No one knows how many galaxies there are in the universe.
           God save the Queen!
     4. art. Used before a superlative or an ordinal number modifying a noun, to indicate that the noun refers to a single item.
           That was the best apple pie ever.
     5. art.          Added to a superlative or an ordinal number to make it into a substantive.
                    That apple pie was the best.
     6. art. Introducing a singular term to be taken generically: preceding a name of something standing for a whole class.
     7. art. Used before an adjective, indicating all things (especially persons) described by that adjective.
           Feed the hungry, clothe the naked, comfort the afflicted, and afflict the comfortable.
     8. art. Used to indicate a certain example of (a noun) which is usually of most concern or most common or familiar.
           No one in the whole country had seen it before.
           I don't think I'll get to it until the morning.
     9. art. Used before a body part (especially of someone previously mentioned), as an alternative to a possessive pronoun.
           A stone hit him on the head. (= “A stone hit him on his head.”)
     10. art. When stressed, indicates that it describes an object which is considered to be best or exclusively worthy of attention.
           That is the hospital to go to for heart surgery.
     11. adv. 1=With a comparative ormore and a verb phrase, establishes a parallel with one or more other such comparatives.
           The hotter the better.
           The more I think about it, the weaker it looks.
           The more money donated, the more books purchased, and the more happy children.
           It looks weaker and weaker, the more I think about it.
     12. adv. 1=With a comparative, and often withfor it, indicates a result more like said comparative. This can be negated withnone.
           It was a difficult time, but I’m the wiser for it.
           It was a difficult time, and I’m none the wiser for it.
           I'm much the wiser for having had a difficult time like that.
coefficients
     1. n. plural of coefficient
of
     1. prep. Expressing distance or motion.
     2. prep.          (now obsolete, or dialectal) From (of distance, direction), "off".
     3. prep.          (obsolete except in phrases) Since, from (a given time, earlier state etc.).
     4. prep.          From, away from (a position, number, distance etc.).
                    There are no shops within twenty miles of the cottage.
     5. prep.          (North America, Scotland, Ireland) Before (the hour); to.
                    What's the time? / Nearly a quarter of three.
     6. prep. Expressing separation.
     7. prep.          (Indicating removal, absence or separation, with the action indicated by a transitive verb and the quality or substance by a grammatical object.)
                    Finally she was relieved of the burden of caring for her sick husband.
     8. prep.          (Indicating removal, absence or separation, with resulting state indicated by an adjective.)
                    He seemed devoid of human feelings.
     9. prep.          (obsolete) (Indicating removal, absence or separation, construed with an intransitive verb.)
     10. prep. Expressing origin.
     11. prep.          (Indicating an ancestral source or origin of descent.)
                    The word is believed to be of Japanese origin.
     12. prep.          (Indicating a (non-physical) source of action or emotion; introducing a cause, instigation); from, out of, as an expression of.
                    The invention was born of necessity.
     13. prep.          (following an intransitive verb) (Indicates the source or cause of the verb.)
                    It is said that she died of a broken heart.
     14. prep.          (following an adjective) (Indicates the subject or cause of the adjective.)
                    I am tired of all this nonsense.
     15. prep. Expressing agency.
     16. prep.          (following a passive verb) (Indicates the agent (for most verbs, now usually expressed with by).)
                    I am not particularly enamoured of this idea.
     17. prep.          (Used to introduce the "subjective genitive"; following a noun to form the head of a postmodifying noun phrase) (see also 'Possession' senses below).
                    The contract can be terminated at any time with the agreement of both parties.
     18. prep.          (following an adjective) (Used to indicate the agent of something described by the adjective.)
                    It was very brave of you to speak out like that.
     19. prep. Expressing composition, substance.
     20. prep.          (after a verb expressing construction, making etc.) (Used to indicate the material or substance used.)
                    Many 'corks' are now actually made of plastic.
     21. prep.          (directly following a noun) (Used to indicate the material of the just-mentioned object.)
                    She wore a dress of silk.
     22. prep.          (Indicating the composition of a given collective or quantitative noun.)
                    What a lot of nonsense!
     23. prep.          (Used to link a given class of things with a specific example of that class.)
                   Welcome to the historic town of Harwich.
     24. prep.          (Links two nouns in near-apposition, with the first qualifying the second); "which is also".
                    I'm not driving this wreck of a car.
     25. prep. Introducing subject matter.
     26. prep.          (Links an intransitive verb, or a transitive verb and its subject (especially verbs to do with thinking, feeling, expressing etc.), with its subject-ma
                    I'm always thinking of you.
     27. prep.          (following a noun (now chiefly nouns of knowledge, communication etc.)) (Introduces its subject matter); about, concerning.
                    He told us the story of his journey to India.
     28. prep.          (following an adjective) (Introduces its subject matter.)
                    This behaviour is typical of teenagers.
     29. prep. Having partitive effect.
     30. prep.          (following a number or other quantitive word) (Introduces the whole for which is indicated only the specified part or segment); "from among".
                    Most of these apples are rotten.
     31. prep.          (following a noun) (Indicates a given part.)
     32. prep.          (now archaic, literary, with preceding partitive word assumed, or as a predicate after to be) Some, an amount of, one of.
                    On the whole, they seem to be of the decent sort.
     33. prep.          (Links to a genitive noun or possessive pronoun, with partitive effect (though now often merged with possessive senses, below).)
                    He is a friend of mine.
     34. prep. Expressing possession.
     35. prep.          Belonging to, existing in, or taking place in a given location, place or time. Compare "origin" senses, above.
                    He was perhaps the most famous scientist of the twentieth century.
     36. prep.          Belonging to (a place) through having title, ownership or control over it.
                    The owner of the nightclub was arrested.
     37. prep.          Belonging to (someone or something) as something they possess or have as a characteristic; (the "possessive genitive". (With abstract nouns, this inter
                    Keep the handle of the saucepan away from the flames.
     38. prep. Forming the "objective genitive".
     39. prep.          (Follows an agent noun, verbal noun or noun of action.)
                    She had a profound distrust of the police.
     40. prep. Expressing qualities or characteristics.
     41. prep.          (now archaic, or literary) (Links an adjective with a noun or noun phrase to form a quasi-adverbial qualifier); in respect to, as regards.
                    My companion seemed affable and easy of manner.
     42. prep.          (Indicates a quality or characteristic); "characterized by".
                    Pooh was said to be a bear of very little brain.
     43. prep.          (Indicates quantity, age, price, etc.)
                    We have been paying interest at a rate of 10%.
     44. prep.          (US, informal considered incorrect by some) (Used to link singular indefinite nouns (preceded by the indefinite article) and attributive adjectives mod
                    It's not that big of a deal.
     45. prep. Expressing a point in time.
     46. prep.          (chiefly regional) During the course of (a set period of time, day of the week etc.), now specifically with implied repetition or regularity.
                    Of an evening, we would often go for a stroll along the river.
     47. prep.          (UK dialectal, chiefly in negative constructions) For (a given length of time).
                    I've not tekken her out of a goodly long while.
     48. prep.          (after a noun) (Indicates duration of a state, activity etc.)
                    After a delay of three hours, the plane finally took off.
a
     1. art. One; any indefinite example of; used to denote a singular item of a group.
           There was a man here looking for you yesterday.
     2. art. Used in conjunction with the adjectives score, dozen, hundred, thousand, and million, as a function word.
           I've seen it happen a hundred times.
     3. art. One certain or particular; any single.Brown, Lesley, (2003)
           We've received an interesting letter from a Mrs. Miggins of London.
     4. art. The same; one.
           We are of a mind on matters of morals.
     5. art. Any, every; used before a noun which has become modified to limit its scope; also used with a negative to indicate not a single one.Lindberg, Christine A. (2007)
           A man who dies intestate leaves his children troubles and difficulties.
           He fell all that way, and hasn't a bump on his head?
     6. art. Used before plural nouns modified by few, good many, couple, great many, etc.
     7. art. Someone or something like; similar to; Used before a proper noun to create an example out of it.
           The center of the village was becoming a Times Square.
     8. prep. (archaic) To do with position or direction; In, on, at, by, towards, onto.
           Stand a tiptoe.
     9. prep. To do with separation; In, into.
           Torn a pieces.
     10. prep. To do with time; Each, per, in, on, by.
           I brush my teeth twice a day.
     11. prep. (obsolete) To do with method; In, with.
     12. prep. (obsolete) To do with role or capacity; In.
           A God’s name.
     13. prep. To do with status; In.
           King James Bible (II Chronicles 2:18)
             To set the people a worke.
     14. prep. (archaic) To do with process, with a passive verb; In the course of, experiencing.
           1964, Bob Dylan, The Times They Are a-Changin’
             The times, they are a-changin'.
     15. prep. (archaic) To do with an action, an active verb; Engaged in.
           1611, King James Bible, Hebrews 11-21
             Jacob, when he was a dying
     16. prep. (archaic) To do with an action/movement; To, into.
     17. v. (archaic, or slang) Have.
           I'd a come, if you'd a asked.
     18. pron. (obsolete, outside, England, and Scotland dialects) He.
     19. interj. A meaningless syllable; ah.
     20. prep. (archaic, slang) Of.
           The name of John a Gaunt.
     21. adv. (chiefly Scotland) All.
     22. adj. (chiefly Scotland) All.
polynomial
     1. n. (algebra, strict sense) An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer
     2. n. (taxonomy) A taxonomic designation (such as of a subspecies) consisting of more than two terms.
     3. adj. (algebra) Able to be described or limited by a polynomial.
     4. adj. (taxonomy) of a polynomial name or entity
with
     1. prep. Against.
           He picked a fight with the class bully.
     2. prep. In the company of; alongside, close to; near to.
           He went with his friends.
     3. prep. In addition to; as an accessory to.
           She owns a motorcycle with a sidecar.
     4. prep. Used to indicate simultaneous happening, or immediate succession or consequence.
     5. prep. In support of.
           We are with you all the way.
     6. prep. (obsolete) To denote the accomplishment of cause, means, instrument, etc; – sometimes equivalent to by.
           slain with robbers
     7. prep. Using as an instrument; by means of.
           cut with a knife
     8. prep. (obsolete) Using as nourishment; more recently replaced by on.
     9. prep. Having, owning.
     10. adv. Along, together with others, in a group, etc.
           Do you want to come with?
     11. adv. -->
     12. n. alternative form of withe
coefficients
     1. n. plural of coefficient
in
     1. prep. Used to indicate location, inclusion, or position within spatial, temporal or other limits.
     2. prep.          Contained by.
                   The dog is in the kennel.
     3. prep.          Within.
     4. prep.          Surrounded by.
                   We are in the enemy camp.   Her plane is in the air.
     5. prep.          Part of; a member of.
                   One in a million.   She's in band and orchestra.
     6. prep.          Pertaining to; with regard to.
                   What grade did he get in English?
                   Military letters should be formal in tone, but not stilted.
     7. prep.          At the end of a period of time.
                   They said they would call us in a week.
     8. prep.          Within a certain elapsed time
                   Are you able to finish this in three hours?   The massacre resulted in over 1000 deaths in three hours.
     9. prep.          During (said of periods of time).
                   in the first week of December;  Easter falls in the fourth lunar month;   The country reached a high level of prosperity in his fi
     10. prep.          (grammar, phonetics, of sounds and letters) Coming at the end of a word.
                   English nouns in -ce form their plurals in -s.
     11. prep. Into.
           Less water gets in your boots this way.
     12. prep. Used to indicate limit, qualification, condition, or circumstance.
           In replacing the faucet washers, he felt he was making his contribution to the environment.
     13. prep.          Indicating an order or arrangement.
                   My fat rolls around in folds.
     14. prep.          Denoting a state of the subject.
                   He stalked away in anger.   John is in a coma.
     15. prep.          Indicates, connotatively, a place-like form of someone's (or something's) personality, as his, her or its psychic and physical characteristics.
                   You've got a friend in me.   He's met his match in her.
     16. prep.          Wearing (an item of clothing).
                    I glanced over at the pretty girl in the red dress.
     17. prep. Used to indicate means, medium, format, genre, or instrumentality.
     18. prep.          (of something offered or given in an exchange) In the form of, in the denomination of.
                   Please pay me in cash — preferably in tens and twenties.
                   The deposit can be in any legal tender, even in gold.
                    Her generosity was rewarded in the success of its recipients.
     19. prep.          Used to indicate a language, script, tone, etc. of a text, speech, etc.
                   Beethoven's "Symphony No. 5" in C minor is among his most popular.
                   His speech was in French, but was simultaneously translated into eight languages.
                   When you write in cursive, it's illegible.
     20. v. (obsolete, transitive) To enclose.
     21. v. (obsolete, transitive) To take in; to harvest.
     22. adv. (not comparable) Located indoors, especially at home or the office, or inside something.
           Is Mr. Smith in?
     23. adv. Moving to the interior of a defined space, such as a building or room.
           Suddenly a strange man walked in.
     24. adv. (sports) Still eligible to play, e.g. able to bat in cricket and baseball.
           He went for the wild toss but wasn't able to stay in.
     25. adv. (UK) Abbreviation of in aid of.
           What's that in?
     26. adv. After the beginning of something.
     27. n. A position of power or a way to get it.
           His parents got him an in with the company
     28. n. (sport) The state of a batter/batsman who is currently batting – see innings
     29. n. A re-entrant angle; a nook or corner.
     30. adj. In fashion; popular.
           Skirts are in this year.
     31. adj. Incoming.
           the in train
     32. adj. (nautical, of the sails of a vessel) Furled or stowed.
     33. adj. (legal) With privilege or possession; used to denote a holding, possession, or seisin.
           in by descent; in by purchase; in of the seisin of her husband
     34. adj. (cricket) Currently batting.
     35. n. Inch.
an
     1. art. Form of a used before a vowel sound
     2. art. (now quite rare) Form of a used before 'h' in an unstressed syllable
     3. art. (nonstandard) Form of a used before 'h' in a stressed syllable
     4. conj. (archaic) If
     5. conj. (archaic) So long as.
           An it harm none, do what ye will.
     6. conj. (archaic) As if; as though.
     7. n. The first letter of the Georgian alphabet, ა (Mkhedruli), Ⴀ (Asomtavruli) or ⴀ (Nuskhuri).
     8. prep. In each; to or for each; per.
           I was only going twenty miles an hour.
integral
     1. adj. Constituting a whole together with other parts or factors; not omittable or removable
     2. adj. (mathematics) Of, pertaining to, or being an integer.
     3. adj. (mathematics) Relating to integration.
     4. adj. (obsolete) Whole; undamaged.
     5. n. (mathematics) A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multi
           The integral ofx\mapsto x^2 on0,1 is\frac13.
     6. n. (mathematics) Antiderivative
           The integral ofx^2 is\fracx^33 plus a constant.
domain
     1. n. A geographic area owned or controlled by a single person or organization.
           The king ruled his domain harshly.
     2. n. A field or sphere of activity, influence or expertise.
           Dealing with complaints isn't really my domain: get in touch with customer services.
           His domain is English history.
     3. n. A group of related items, topics, or subjects.
     4. n. (mathematics) The set of all possible mathematical entities (points) where a given function is defined.
     5. n. (mathematics, set theory) The set of input (argument) values for which a function is defined.
     6. n. (mathematics) A ring with no zero divisors; that is, in which no product of nonzero elements is zero.
           (hyponyms, en, integral domain)
     7. n. (mathematics, topology, analysis) An open and connected set in some topology. For example, the interval (0,1) as a subset of the real numbers.
     8. n. (computing, Internet) Any DNS domain name, particularly one which has been delegated and has become representative of the delegated domain name and its subdomains.
     9. n. (computing, Internet) A collection of DNS or DNS-like domain names consisting of a delegated domain name and all its subdomains.
     10. n. (computing) A collection of information having to do with a domain, the computers named in the domain, and the network on which the computers named in the domain reside.
     11. n. (computing) The collection of computers identified by a domain's domain names.
     12. n. (physics) A small region of a magnetic material with a consistent magnetization direction.
     13. n. (computing) Such a region used as a data storage element in a bubble memory.
     14. n. (data processing) A form of technical metadata that represent the type of a data item, its characteristics, name, and usage.
     15. n. , url=http://www-01.ibm.com/software/globalization/terminology/d.html
     16. n. , accessdate=2013-12-29
     17. n. (taxonomy) The highest rank in the classification of organisms, above kingdom; in the three-domain system, one of the taxa Bacteria, Archaea, or Eukaryota.
     18. n. (biochemistry) A folded section of a protein molecule that has a discrete function.
the
     1. art. Definite grammatical article that implies necessarily that an entity it articulates is presupposed; something already mentioned, or completely specified later in that same sentence, or assumed already
           I’m reading the book. (Compare I’m reading a book.)
           The street in front of your house. (Compare A street in Paris.)
           The men and women watched the man give the birdseed to the bird.
     2. art.          Used before a noun modified by a restrictive relative clause, indicating that the noun refers to a single referent defined by the relative clause.
                    The street that runs through my hometown.
     3. art. Used before an object considered to be unique, or of which there is only one at a time.
           No one knows how many galaxies there are in the universe.
           God save the Queen!
     4. art. Used before a superlative or an ordinal number modifying a noun, to indicate that the noun refers to a single item.
           That was the best apple pie ever.
     5. art.          Added to a superlative or an ordinal number to make it into a substantive.
                    That apple pie was the best.
     6. art. Introducing a singular term to be taken generically: preceding a name of something standing for a whole class.
     7. art. Used before an adjective, indicating all things (especially persons) described by that adjective.
           Feed the hungry, clothe the naked, comfort the afflicted, and afflict the comfortable.
     8. art. Used to indicate a certain example of (a noun) which is usually of most concern or most common or familiar.
           No one in the whole country had seen it before.
           I don't think I'll get to it until the morning.
     9. art. Used before a body part (especially of someone previously mentioned), as an alternative to a possessive pronoun.
           A stone hit him on the head. (= “A stone hit him on his head.”)
     10. art. When stressed, indicates that it describes an object which is considered to be best or exclusively worthy of attention.
           That is the hospital to go to for heart surgery.
     11. adv. 1=With a comparative ormore and a verb phrase, establishes a parallel with one or more other such comparatives.
           The hotter the better.
           The more I think about it, the weaker it looks.
           The more money donated, the more books purchased, and the more happy children.
           It looks weaker and weaker, the more I think about it.
     12. adv. 1=With a comparative, and often withfor it, indicates a result more like said comparative. This can be negated withnone.
           It was a difficult time, but I’m the wiser for it.
           It was a difficult time, and I’m none the wiser for it.
           I'm much the wiser for having had a difficult time like that.
common
     1. adj. Mutual; shared by more than one.
           The two competitors have the common aim of winning the championship.
           Winning the championship is an aim common to the two competitors.
     2. adj. Occurring or happening regularly or frequently; usual.
           It is common to find sharks off this coast.
     3. adj. Found in large numbers or in a large quantity.
           Sharks are common in these waters.
     4. adj. Simple, ordinary or vulgar.
     5. adj. (grammar) In some languages, particularly Germanic languages, of the gender originating from the coalescence of the masculine and feminine categories of nouns.
     6. adj. (grammar) Of or pertaining to common nouns as opposed to proper nouns.
     7. adj. Vernacular, referring to the name of a kind of plant or animal, i.e., common name vs. scientific name.
     8. adj. (obsolete) Profane; polluted.
     9. adj. (obsolete) Given to lewd habits; prostitute.
     10. n. Mutual good, shared by more than one.
     11. n. A tract of land in common ownership; common land.
     12. n. The people; the community.
     13. n. (legal) The right of taking a profit in the land of another, in common either with the owner or with other persons; so called from the community of interest which arises between the claimant of the ri
     14. v. (obsolete) To communicate (something).
     15. v. (obsolete) To converse, talk.
     16. v. (obsolete) To have sex.
     17. v. (obsolete) To participate.
     18. v. (obsolete) To have a joint right with others in common ground.
     19. v. (obsolete) To board together; to eat at a table in common.
factor
     1. n. (obsolete) A doer, maker; a person who does things for another person or organization.
           The factor of the trading post bought the furs.
     2. n. (now rare) An agent or representative.
           Christopher Marlowe
             My factor sends me word, a merchant's fled / That owes me for a hundred tun of wine.
           1985 Haynes Owners Workshop Manual, BMW
            Motor factors — Good factors will stock all of the more important components which wear out relatively quickly.
     3. n. legal
     4. n.          A commission agent.
     5. n.          A person or business organization that provides money for another's new business venture; one who finances another's business.
     6. n.          A business organization that lends money on accounts receivable or buys and collects accounts receivable.
     7. n. One of the elements, circumstances, or influences which contribute to produce a result.
           The greatest factor in the decision was the need for public transportation.
           The economy was a factor in this year's budget figures.
     8. n. (mathematics) Any of various objects multiplied together to form some whole.
           3 is a factor of 12, as are 2, 4 and 6.
           The factors of the Klein four-group are both cyclic of order 2.
     9. n. (root cause analysis) Influence; a phenomenon that affects the nature, the magnitude, and/or the timing of a consequence.
           The launch temperature was a factor of the Challenger disaster.
     10. n. (economics) A resource used in the production of goods or services, a factor of production.
     11. n. (Scotland) A steward or bailiff of an estate.
     12. v. To find all the factors of (a number or other mathematical object) (the objects that divide it evenly).
     13. v. (of a number or other mathematical object, intransitive) To be a product of other objects.
     14. v. (commercial, transitive) To sell a debt or debts to an agent (the factor) to collect.
Dictionary entries from Wiktionary