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maths
     1. n. (informal, Commonwealth, except Canada) (clipping of mathematics)
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.
transformation
     1. n. The act of transforming or the state of being transformed.
     2. n. A marked change in appearance or character, especially one for the better.
     3. n. (mathematics) The replacement of the variables in an algebraic expression by their values in terms of another set of variables; a mapping of one space onto another or onto itself; a function that chan
     4. n. (linguistics) A rule that systematically converts one syntactic form into another; a sentence derived by such a rule.
     5. n. (genetics) The alteration of a bacterial cell caused by the transfer of DNA from another, especially if pathogenic.
     6. n. (politics, South Africa) Ideologically driven government policy - becoming more conformant with socialist and African nationalist groupthink.
that
     1. conj. Introducing a clause which is the subject or object of a verb (such as one involving reported speech), or which is a complement to a previous statement.
           He told me that the book is a good read.
           I believe that it is true. — She is convinced that he is British.
     2. conj. Introducing a subordinate clause expressing a reason or cause: because, in that.
           Be glad that you have enough to eat.
     3. conj. (now uncommon) Introducing a subordinate clause that expresses an aim, purpose or goal ("final"), and usually contains the auxiliaries may, might or should: so, so that.
     4. conj. Introducing — especially, but not exclusively, with an antecedent like so or such — a subordinate clause expressing a result, consequence or effect.
           The noise was so loud that she woke up.
           The problem was sufficiently important that it had to be addressed.
     5. conj. (archaic, or poetic) Introducing a premise or supposition for consideration: seeing as; inasmuch as; given that; as would appear from the fact that.
     6. conj. Introducing a subordinate clause modifying an adverb.
           Was John there? — Not that I saw.
           How often did she visit him? — Twice that I saw.
     7. conj. Introducing an exclamation expressing a desire or wish.
     8. conj. Introducing an exclamation expressing a strong emotion such as sadness or surprise.
     9. det. The (thing, person, idea, etc) indicated or understood from context, especially if more remote physically, temporally or mentally than one designated as "this", or if expressing distinction.
           That book is a good read. This one isn't.
           That battle was in 1450.
           That cat of yours is evil.
     10. pron. (demonstrative) The thing, person, idea, quality, event, action or time indicated or understood from context, especially if more remote geographically, temporally or mentally than one designated as "t
           He went home, and after that I never saw him again.
     11. pron. The known (thing); (used to refer to something just said).
           They're getting divorced. What do you think about that?
     12. pron. (demonstrative) The aforementioned quality; used together with a verb and pronoun to emphatically repeat a previous statement.
           The water is so cold! — That it is.
     13. pron. (relative) (plural that) Which, who; (representing a subject, direct object, indirect object, or object of a preposition).
           The CPR course that she took really came in handy.
           The house that he lived in was old and dilapidated.
     14. pron. (colloquial) (Used in place of relative adverbs such as where or when; often omitted.)
           the place that = where or to which I went last year
           the last time that = when I went to Europe
     15. adv. (degree) To a given extent or degree.
           "The ribbon was that thin." "I disagree, I say it was not that thin, it was thicker... or maybe thinner...".
     16. adv. (degree) To a great extent or degree; very, particularly (in negative constructions).
           I'm just not that sick.
           I did the run last year, and it wasn't that difficult.
     17. adv. (obsolete, outside, dialects) To such an extent; so. (in positive constructions).
           Ooh, I was that happy I nearly kissed her.
     18. n. (philosophy) Something being indicated that is there; one of those.
preserves
     1. n. plural of preserve
     2. n. (obsolete) Spectacles to protect the eyes from strong light, etc.
     3. v. third-person singular present indicative of preserve
     preserve
          1. n. A sweet spread made of any of a variety of berries.
          2. n. A reservation, a nature preserve.
          3. n. An activity with restricted access.
          4. v. To protect; to keep from harm or injury.
          5. v. To save from decay by the use of some preservative substance, such as sugar or salt; to season and prepare (fruits, meat, etc.) for storage.
                to preserve peaches or grapes
          6. v. To maintain throughout; to keep intact.
                to preserve appearances; to preserve silence
Angles
     1. n. plural of Angle
     2. n. plural of angle
     3. v. third-person singular present indicative of angle
     angle
          1. n. (geometry) A figure formed by two rays which start from a common point (a plane angle) or by three planes that intersect (a solid angle).
                the angle between lines A and B
          2. n. (geometry) The measure of such a figure. In the case of a plane angle, this is the ratio (or proportional to the ratio) of the arc length to the radius of a section of a circle cut by the two rays, ce
                The angle between lines A and B is π/4 radians, or 45 degrees.
          3. n. A corner where two walls intersect.
                an angle of a building
          4. n. A change in direction.
                The horse took off at an angle.
          5. n. A viewpoint; a way of looking at something.
          6. n. (media) The focus of a news story.
          7. n. (slang) A storyline between two wrestlers, providing the background for and approach to a feud.
          8. n. (slang) An ulterior motive; a scheme or means of benefitting from a situation, usually hidden, often immoral
                His angle is that he gets a percentage, but mostly in trade.
          9. n. A projecting or sharp corner; an angular fragment.
          10. n. (astrology) Any of the four cardinal points of an astrological chart: the Ascendant, the Midheaven, the Descendant and the Imum Coeli.
          11. v. (transitive, often in the passive) To place (something) at an angle.
                The roof is angled at 15 degrees.
          12. v. (intransitive, informal) To change direction rapidly.
                The five ball angled off the nine ball but failed to reach the pocket.
          13. v. (transitive, informal) To present or argue something in a particular way or from a particular viewpoint.
                How do you want to angle this when we talk to the client?
          14. v. (transitive, cue sports) To hamper (oneself or one's opponent) by leaving the cue ball in the jaws of a pocket such that the surround of the pocket (the "angle") blocks the path from cue ball to objec
                
          15. v. (intransitive) To try to catch fish with a hook and line.
          16. v. (informal) (with for) To attempt to subtly persuade someone to offer a desired thing.
                He must be angling for a pay rise.
          17. n. A fishhook; tackle for catching fish, consisting of a line, hook, and bait, with or without a rod.
and
     1. conj. As a coordinating conjunction; expressing two elements to be taken together or in addition to each other.
     2. conj.          Used simply to connect two noun phrases, adjectives or adverbs.
     3. conj.          Simply connecting two clauses or sentences.
     4. conj.          Introducing a clause or sentence which follows on in time or consequence from the first.
     5. conj.          (obsolete) Yet; but.
     6. conj.          Used to connect certain numbers: connecting units when they precede tens (not dated); connecting tens and units to hundreds, thousands etc. (now often
     7. conj.          (now colloquial, or literary) Used to connect more than two elements together in a chain, sometimes to stress the number of elements.
     8. conj.          Connecting two identical elements, with implications of continued or infinite repetition.
     9. conj.          Introducing a parenthetical or explanatory clause.
     10. conj.          Introducing the continuation of narration from a previous understood point; also used alone as a question: ‘and so what?’.
     11. conj.          (now regional or somewhat colloquial) Used to connect two verbs where the second is dependent on the first: ‘to’. Used especially after come,
     12. conj.          Introducing a qualitative difference between things having the same name; "as well as other".
     13. conj.          Used to combine numbers in addition; plus (with singular or plural verb).
     14. conj. Expressing a condition.:
     15. conj.          (now US dialect) If; provided that.
     16. conj.          (obsolete) As if, as though.
     17. n. (enm, music, often informal) In rhythm, the second half of a divided beat.
     18. n. (UK dialectal) Breath.
     19. n. (UK dialectal) Sea smoke; steam fog.
     20. v. (UK dialectal, intransitive) To breathe; whisper; devise; imagine.
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.
ratios
     1. n. plural of ratio
     ratio
          1. n. A number representing a comparison between two named things.
          2. n. (arithmetic) The relative magnitudes of two quantities (usually expressed as a quotient).
          3. n. (legal) Short for ratio decidendi.
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.
distances
     1. n. plural of distance
     2. v. third-person singular present indicative of distance
     distance
          1. n. The amount of space between two points, usually geographical points, usually (but not necessarily) measured along a straight line.
                The distance to Petersborough is thirty miles.
                From Moscow, the distance is relatively short to Saint Petersburg, relatively long to Novosibirsk, but even greater to Vladivostok.
          2. n. Length or interval of time.
          3. n. (informal) The difference; the subjective measure between two quantities.
                We're narrowing the distance between the two versions of the bill.  The distance between the lowest and next gear on my bicycle is annoying.
          4. n. Remoteness of place; a remote place.
          5. n. Remoteness in succession or relation.
                the distance between a descendant and his ancestor
          6. n. A space marked out in the last part of a racecourse.
          7. n. (figuratively) The entire amount of progress to an objective.
                He had promised to perform this task, but did not go the distance.
          8. n. (figuratively) A withholding of intimacy; alienation; variance.
                The friendship did not survive the row: they kept each other at a distance.
          9. n. The remoteness or reserve which respect requires; hence, respect; ceremoniousness.
          10. n. The space measured back from the winning-post which a racehorse running in a heat must reach when the winner has covered the whole course, in order to run in the final heat.
          11. v. To move away (from) someone or something.
                He distanced himself from the comments made by some of his colleagues.
          12. v. To leave at a distance; to outpace, leave behind.
Dictionary entries from Wiktionary