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group
     1. n. A number of things or persons being in some relation to one another.
           there is a group of houses behind the hill;  he left town to join a Communist group
           A group of people gathered in front of the Parliament to demonstrate against the Prime Minister's proposals.
     2. n. (group theory) A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
     3. n. (geometry, archaic) An effective divisor on a curve.
     4. n. A (usually small) group of people who perform music together.
           Did you see the new jazz group?
     5. n. (astronomy) A small number (up to about fifty) of galaxies that are near each other.
     6. n. (chemistry) A column in the periodic table of chemical elements.
     7. n. (chemistry) A functional group.
           Nitro is an electron-withdrawing group.
     8. n. (sociology) A subset of a culture or of a society.
     9. n. (military) An air force formation.
     10. n. (geology) A collection of formations or rock strata.
     11. n. (computing) A number of users with same rights with respect to accession, modification, and execution of files, computers and peripherals.
     12. n. An element of an espresso machine from which hot water pours into the portafilter.
     13. n. (music) A number of eighth, sixteenth, etc., notes joined at the stems; sometimes rather indefinitely applied to any ornament made up of a few short notes.
     14. n. (sports) A set of teams playing each other in the same division, while not during the same period playing any teams that belong to other sets in the division.
     15. n. (business) A commercial organization.
     16. v. To put together to form a group.
           group the dogs by hair colour
     17. v. (intransitive) To come together to form a group.
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.
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.
group
     1. n. A number of things or persons being in some relation to one another.
           there is a group of houses behind the hill;  he left town to join a Communist group
           A group of people gathered in front of the Parliament to demonstrate against the Prime Minister's proposals.
     2. n. (group theory) A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
     3. n. (geometry, archaic) An effective divisor on a curve.
     4. n. A (usually small) group of people who perform music together.
           Did you see the new jazz group?
     5. n. (astronomy) A small number (up to about fifty) of galaxies that are near each other.
     6. n. (chemistry) A column in the periodic table of chemical elements.
     7. n. (chemistry) A functional group.
           Nitro is an electron-withdrawing group.
     8. n. (sociology) A subset of a culture or of a society.
     9. n. (military) An air force formation.
     10. n. (geology) A collection of formations or rock strata.
     11. n. (computing) A number of users with same rights with respect to accession, modification, and execution of files, computers and peripherals.
     12. n. An element of an espresso machine from which hot water pours into the portafilter.
     13. n. (music) A number of eighth, sixteenth, etc., notes joined at the stems; sometimes rather indefinitely applied to any ornament made up of a few short notes.
     14. n. (sports) A set of teams playing each other in the same division, while not during the same period playing any teams that belong to other sets in the division.
     15. n. (business) A commercial organization.
     16. v. To put together to form a group.
           group the dogs by hair colour
     17. v. (intransitive) To come together to form a group.
element
     1. n. One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
           Letters are the elements of written language.
     2. n.          (chemistry) Any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms
     3. n.          One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
     4. n.          (legal) A required aspect or component of a cause of action. A deed is regarded a violation of law only if each element can be proved.
     5. n.          (set theory) One of the objects in a set.
     6. n.          Any of the teeth of a zip fastener.
     7. n. A small part of the whole.
           an element of doubt;  an element of the picture
     8. n. (plural only, with "the") Atmospheric forces such as strong winds and rains.
           exposed to the elements
     9. n. A place or state of being that an individual or object is best suited to.
           to be in one's element
     10. n. (Christianity, usually plural) The bread and wine taken at Holy Communion.
     11. n. A group of people within a larger group having a particular common characteristic.
           You sometimes find the hooligan element at football matches.
     12. n. A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
           The element in this electric kettle can heat the water in under a minute.
     13. n. (computing) One of the conceptual objects in a markup language, usually represented in text by a matching pair of tags.
     14. v. (obsolete) To compound of elements.
     15. v. (obsolete) To constitute and be the elements of.
expressed
     1. v. simple past tense and past participle of express
     express
          1. adj. (not comparable) Moving or operating quickly, as a train not making local stops.
          2. adj. (comparable) Specific or precise; directly and distinctly stated; not merely implied.
                I gave him express instructions not to begin until I arrived, but he ignored me.
                This book cannot be copied without the express permission of the publisher.
          3. adj. Truly depicted; exactly resembling.
                In my eyes it bore a livelier image of the spirit, it seemed more express and single, than the imperfect and divided countenance.
          4. adj. (retail) Providing a more limited but presumably faster service than a full or complete dealer of the same kind or type.
                The Pizza Hut inside Target isn't a full one: it's a Pizza Hut Express.
                Some Wal-Mart stores will include a McDonald's Express.
                The mall's selection of cell phone carriers includes a full AT&T store and a T-Mobile express.
          5. n. A mode of transportation, often a train, that travels quickly or directly.
                I took the express into town.
          6. n. A service that allows mail or money to be sent rapidly from one destination to another.
          7. n. An express rifle.
          8. n. (obsolete) A clear image or representation; an expression; a plain declaration.
          9. n. A messenger sent on a special errand; a courier.
          10. n. An express office.
          11. n. That which is sent by an express messenger or message.
          12. v. To convey or communicate; to make known or explicit.
                Words cannot express the love I feel for him.
          13. v. To press, squeeze out (especially said of milk).
          14. v. (biochemistry) To translate messenger RNA into protein.
          15. v. (biochemistry) To transcribe deoxyribonucleic acid into messenger RNA.
          16. n. (obsolete) The action of conveying some idea using words or actions; communication, expression.
          17. n. (obsolete) A specific statement or instruction.
As
     1. n. plural of A
           She went from getting Cs and Ds to earning straight As.
     2. adv. To such an extent or degree.
           You’re not as tall as I am.
           It's not as well made, but it's twice as expensive.
     3. adv. In the manner or role specified.
           The kidnappers released him as agreed.
           The parties were seen as agreeing on a range of issues.
           He was never seen as the boss, but rather as a friend.
     4. adv. (dated) For example (compare such as).
     5. conj. In the same way that; according to what.
           Do as I say!
           I'm under a lot of pressure, as you know.
           As you wish, my lord!
     6. conj. At the same instant that; when.
           As I came in, she flew.
     7. conj. At the same time that; while.
           He sleeps as the rain falls.
     8. conj. Varying through time in the same proportion that.
           As my fear grew, so did my legs become heavy.
     9. conj. Being that, considering that, because, since.
           As it’s too late, I quit.
     10. conj. Introducing a basis of comparison, after as, so, or a comparison of equality.
           She's twice as strong as I was two years ago.
           It's not so complicated as I expected.
     11. conj. (dated) Introducing a comparison with a hypothetical state (+ subjunctive); ‘as though’, ‘as if’.
     12. conj. Introducing a comparison with a hypothetical state with the verb elided; as if, as though.
     13. conj. (now England, US, regional) Functioning as a relative conjunction; that.
     14. conj. Expressing concession; though.
     15. conj. (obsolete, rare) Than.
     16. prep. Introducing a basis of comparison, with an object in the objective case.
           You are not as tall as me.
           They're big as houses.
     17. prep. In the role of.
           What is your opinion as a parent?
     18. n. (unit of weight) A libra.
     19. n. Any of several coins of Rome, coined in bronze or later copper; or the equivalent value.
     20. n. plural of a
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.
product
     1. n. A commodity offered for sale.
           That store offers a variety of products.  We've got to sell a lot of product by the end of the month.
     2. n. (cosmetics) Any preparation to be applied to the hair, skin, nails, etc.
           Wash excess product out of your hair.
     3. n. Anything that is produced; a result.
           The product of last month's quality standards committee is quite good, even though the process was flawed.
     4. n.          The amount of an artifact that has been created by someone or some process.
                   They improve their product every year; they export most of their agricultural production.
     5. n.          A consequence of someone's efforts or of a particular set of circumstances.
                   Skill is the product of hours of practice.  His reaction was the product of hunger and fatigue.
     6. n.          (chemistry) A chemical substance formed as a result of a chemical reaction.
                   This is a product of lime and nitric acid.
     7. n.          (arithmetic) A quantity obtained by multiplication of two or more numbers.
                   The product of 2 and 3 is 6.  The product of 2, 3, and 4 is 24.
     8. n.          (mathematics) Any operation or a result thereof which generalises multiplication of numbers, like the multiplicative operation in a ring, product of ty
     9. n.          Any tangible or intangible good or service that is a result of a process and that is intended for delivery to a customer or end user.
     10. n. (US, slang) Illegal drugs, especially cocaine, when viewed as a commodity.
           I got some product here – you buying?
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.
group
     1. n. A number of things or persons being in some relation to one another.
           there is a group of houses behind the hill;  he left town to join a Communist group
           A group of people gathered in front of the Parliament to demonstrate against the Prime Minister's proposals.
     2. n. (group theory) A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
     3. n. (geometry, archaic) An effective divisor on a curve.
     4. n. A (usually small) group of people who perform music together.
           Did you see the new jazz group?
     5. n. (astronomy) A small number (up to about fifty) of galaxies that are near each other.
     6. n. (chemistry) A column in the periodic table of chemical elements.
     7. n. (chemistry) A functional group.
           Nitro is an electron-withdrawing group.
     8. n. (sociology) A subset of a culture or of a society.
     9. n. (military) An air force formation.
     10. n. (geology) A collection of formations or rock strata.
     11. n. (computing) A number of users with same rights with respect to accession, modification, and execution of files, computers and peripherals.
     12. n. An element of an espresso machine from which hot water pours into the portafilter.
     13. n. (music) A number of eighth, sixteenth, etc., notes joined at the stems; sometimes rather indefinitely applied to any ornament made up of a few short notes.
     14. n. (sports) A set of teams playing each other in the same division, while not during the same period playing any teams that belong to other sets in the division.
     15. n. (business) A commercial organization.
     16. v. To put together to form a group.
           group the dogs by hair colour
     17. v. (intransitive) To come together to form a group.
elements
     1. n. plural of element
     2. n. (pluralonly) Outdoor weather, such as wind or rain.
     3. n. (pluralonly) The basic tenets of an area of knowledge.
     4. n. (pluralonly) The bread and wine of the Eucharist.
     element
          1. n. One of the simplest or essential parts or principles of which anything consists, or upon which the constitution or fundamental powers of anything are based.
                Letters are the elements of written language.
          2. n.          (chemistry) Any one of the simplest chemical substances that cannot be decomposed in a chemical reaction or by any chemical means and made up of atoms
          3. n.          One of the four basic building blocks of matter in theories of ancient philosophers and alchemists: water, earth, fire, and air.
          4. n.          (legal) A required aspect or component of a cause of action. A deed is regarded a violation of law only if each element can be proved.
          5. n.          (set theory) One of the objects in a set.
          6. n.          Any of the teeth of a zip fastener.
          7. n. A small part of the whole.
                an element of doubt;  an element of the picture
          8. n. (plural only, with "the") Atmospheric forces such as strong winds and rains.
                exposed to the elements
          9. n. A place or state of being that an individual or object is best suited to.
                to be in one's element
          10. n. (Christianity, usually plural) The bread and wine taken at Holy Communion.
          11. n. A group of people within a larger group having a particular common characteristic.
                You sometimes find the hooligan element at football matches.
          12. n. A component in electrical equipment, often in the form of a coil, having a high resistance, thereby generating heat when a current is passed through it.
                The element in this electric kettle can heat the water in under a minute.
          13. n. (computing) One of the conceptual objects in a markup language, usually represented in text by a matching pair of tags.
          14. v. (obsolete) To compound of elements.
          15. v. (obsolete) To constitute and be the elements of.
Dictionary entries from Wiktionary