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by
     1. prep. Near or next to.
           The mailbox is by the bus stop.
     2. prep. At some time before (the given time), or before the end of a given time interval.
           Be back by ten o'clock!  We will send it by the first week of July.
     3. prep. Indicates the actor in a clause with its verb in the passive voice: Through the action or presence of.
           The matter was decided by the chairman.  The boat was swamped by the water.  He was protected by his body armour.
     4. prep. Indicates the creator of a work: Existing through the authorship etc. of.
           There are many well-known plays by William Shakespeare
     5. prep. Indicates the cause of a condition or event: Through the action of, caused by, responsibility for; by dint of.
     6. prep. Indicates a means: Involving/using the means of.
           I avoided the guards by moving only when they weren't looking.
     7. prep. Indicates a source of light used as illumination.
           The electricity was cut off, so we had to read by candlelight.
     8. prep. Indicates an authority, rule, or permission followed.
           I sorted the items by category.  By the power vested in me, I now pronounce you man and wife.
     9. prep. Indicates the amount of some progression: With a change of.
           Our stock is up by ten percent.
     10. prep. In the formulae X by X and by Xs, indicates a steady progression, one X after another.
           We went through the book page by page.  We crawled forward by inches.
     11. prep. Indicates a referenced source: According to.
           He cheated by his own admission.
     12. prep. Indicates an oath: With the authority of.
           By Jove! I think she's got it!  By all that is holy, I'll put an end to this.
     13. prep. Used to separate dimensions when describing the size of something.
           It is easy to invert a 2-by-2 matrix.  The room was about 4 foot by 6 foot.  The bricks used to build the wall measured 10 by 20 by 30 cm.
     14. prep. (horse breeding) Designates a horse's male parent (sire); cf. out of.
           She's a lovely little filly, by Big Lad, out of Damsel in Distress.
     15. adv. Along a path which runs by the speaker.
           I watched as it passed by.
     16. adv. In the vicinity, near.
           There was a shepherd close by.
           The shop is hard by the High Street.
     17. adv. To or at a place, as a residence or place of business.
           I'll stop by on my way home from work.
           We're right near the lifeguard station. Come by before you leave.
     18. adv. Aside, away.
           The women spent much time after harvest putting jams by for winter and spring.
     19. adj. Out of the way, subsidiary.
     20. n. (card games) A pass
     21. interj. alternative spelling of bye
extension
     1. n. The act of extending; a stretching out; enlargement in length or breadth; an increase
     2. n. The state of being extended
     3. n. That property of a body by which it occupies a portion of space (or time, e.g. "spatiotemporal extension")
     4. n. A part of a building that has been extended from the original
     5. n. (semantics) Capacity of a concept or general term to include a greater or smaller number of objects; — correlative of intension.
     6. n. (banking, finance) A written engagement on the part of a creditor, allowing a debtor further time to pay a debt.
     7. n. (medicine) The operation of stretching a broken bone so as to bring the fragments into the same straight line.
     8. n. (weightlifting) An exercise in which an arm or leg is straightened against resistance.
     9. n. (fencing) A simple offensive action, consisting of extending the weapon arm forward.
     10. n. (telecommunication) A numerical code used to specify a specific telephone in a telecommunication network.
     11. n. (computing) A file extension.
           Files with the .txt extension usually contain text.
     12. n. (computing) An optional software component that adds functionality to an application.
           a browser extension
     13. n. (logic) The set of tuples of values that, used as arguments, satisfy the predicate.
     14. n. (grammar) A kind of derivative morpheme applied to verbs in Bantu languages.
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.
principle
     1. n. A fundamental assumption or guiding belief.
           We need some sort of principles to reason from.
     2. n. A rule used to choose among solutions to a problem.
           The principle of least privilege holds that a process should only receive the permissions it needs.
     3. n. (sometimes pluralized) Moral rule or aspect.
           I don't doubt your principles.
           You are clearly a person of principle.
           It's the principle of the thing; I won't do business with someone I can't trust.
     4. n. (physics) A rule or law of nature, or the basic idea on how the laws of nature are applied.
           Bernoulli's Principle
           The Pauli Exclusion Principle prevents two fermions from occupying the same state.
           The principle of the internal combustion engine
     5. n. A fundamental essence, particularly one producing a given quality.
           Many believe that life is the result of some vital principle.
     6. n. (obsolete) A beginning.
     7. n. A source, or origin; that from which anything proceeds; fundamental substance or energy; primordial substance; ultimate element, or cause.
     8. n. An original faculty or endowment.
     9. v. To equip with principles; to establish, or fix, in certain principles; to impress with any tenet or rule of conduct.
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.
using
     1. v. present participle of use
     2. n. use; utilization
     use
          1. n. The act of using.
                the use of torture has been condemned by the United Nations;  there is no use for your invention
          2. n. (followed by "of") Usefulness, benefit.
                What's the use of a law that nobody follows?
          3. n. A function; a purpose for which something may be employed.
                This tool has many uses.
          4. n. Occasion or need to employ; necessity.
                I have no further use for these textbooks.
          5. n. (obsolete, rare) Interest for lent money; premium paid for the use of something; usury.
          6. n. (archaic) Continued or repeated practice; usage; habit.
          7. n. (obsolete) Common occurrence; ordinary experience.
          8. n. (religion) The special form of ritual adopted for use in any diocese.
                the Sarum, or Canterbury, use; the Hereford use; the York use; the Roman use; etc.
          9. n. (forging) A slab of iron welded to the side of a forging, such as a shaft, near the end, and afterward drawn down, by hammering, so as to lengthen the forging.
          10. v. To utilize or employ.
          11. v.          To employ; to apply; to utilize.
                        Use this knife to slice the bread.
                        We can use this mathematical formula to solve the problem.
          12. v.          (transitive, often with up) To expend; to consume by employing.
                        I used the money they allotted me.
                        We should use up most of the fuel.
                        She used all the time allotted to complete the test.
          13. v.          To exploit.
                        You never cared about me; you just used me!
          14. v.          To consume (alcohol, drugs, etc), especially regularly.
                         He uses cocaine. I have never used drugs.
          15. v.          (intransitive) To consume a previously specified substance, especially a drug to which one is addicted.
                        Richard began experimenting with cocaine last year; now he uses almost every day.
          16. v.          (transitive, with auxiliary "could") To benefit from; to be able to employ or stand.
                        I could use a drink. My car could use a new coat of paint.
          17. v. To accustom; to habituate. (Now common only in participial form. Note: This usage uses the nounal pronunciation of the word rather than the typically verbal one.)
                soldiers who are used to hardships and danger (still common)
                to use the soldiers to hardships and danger (now rare)
          18. v.          (reflexive, obsolete, with "to") To become accustomed, to accustom oneself.
          19. v. (intransitive, now rare, literary) To habitually do; to be wont to do.
          20. v. (intransitive, now rare, literary) To habitually employ; to be wont to employ.
          21. v. (intransitive, past tense with infinitive) To habitually do. See used to.
                I used to get things done.
          22. v. (dated) To behave toward; to act with regard to; to treat.
                to use an animal cruelly
          23. v. (reflexive, obsolete) To behave, act, comport oneself.
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.
fewest
     1. det. superlative of few; the smallest number.
           On Sundays, the fewest cars use this street.
resources
     1. n. plural of resource
     resource
          1. n. Something that one uses to achieve an objective, e.g. raw materials or personnel.
          2. n. A person's capacity to deal with difficulty.
                a man/woman of resource
          3. v. To supply with resources.
or
     1. conj. Connects at least two alternative words, phrases, clauses, sentences, etc. each of which could make a passage true. In English, this is the "inclusive or." The "exclusive or" is formed by "either(...)
           In Ohio, anyone under the age of 18 who wants a tattoo or body piercing needs the consent of a parent or guardian.
           He might get cancer, or be hit by a bus, or God knows what.
     2. conj. (logic) An operator denoting the disjunction of two propositions or truth values. There are two forms, the inclusive or and the exclusive or.
     3. conj. Counts the elements before and after as two possibilities.
     4. conj. Otherwise (a consequence of the condition that the previous is false).
           It's raining! Come inside or you'll catch a cold!
     5. conj. Connects two equivalent names.
           The country Myanmar, or Burma
     6. n. (logic, electronics) alternative form of OR
     7. n. (tincture) The gold or yellow tincture on a coat of arms.
     8. adj. (tincture) Of gold or yellow tincture on a coat of arms.
     9. adv. (obsolete) Early (on).
     10. adv. (obsolete) Earlier, previously.
     11. prep. (now archaic, or dialect) Before; ere.
explanations
     1. n. plural of explanation
     explanation
          1. n. The act or process of explaining.
                The explanation was long and drawn-out.
          2. n. Something that explains, makes understandable.
                An explanation for the UFO sightings was easily found.
          3. n. A resolution of disputed points pursuant to discussion; a mutual clarification of disputed points; reconciliation.
to
     1. part. A particle used for marking the following verb as an infinitive.
           I want to leave.
           He asked me what to do.
           I don’t know how to say it.
           I have places to go and people to see.
     2. part. As above, with the verb implied.
           "Did you visit the museum?" "I wanted to, but it was closed.".
           If he hasn't read it yet, he ought to.
     3. part. A particle used to create phrasal verbs.
           I have to do laundry today.
     4. prep. Indicating destination: In the direction of, and arriving at.
           We are walking to the shop.
     5. prep. Used to indicate purpose.
           He devoted himself to education.
           They drank to his health.
     6. prep. Used to indicate result of action.
           His face was beaten to a pulp.
     7. prep. Used after an adjective to indicate its application.
           similar to ..., relevant to ..., pertinent to ..., I was nice to him, he was cruel to her, I am used to walking.
     8. prep. (obsolete,) As a.
           With God to friend (with God as a friend);   with The Devil to fiend (with the Devil as a foe);   lambs slaughtered to lake (lambs slaughtered as a sacrifice);   t
     9. prep. (arithmetic) Used to indicate a ratio or comparison.
           one to one = 1:1
           ten to one = 10:1.
           I have ten dollars to your four.
     10. prep. (arithmetic) Used to indicate that the preceding term is to be raised to the power of the following value; indicates exponentiation.
           Three squared or three to the second power is nine.
           Three to the power of two is nine.
           Three to the second is nine.
     11. prep. Used to indicate the indirect object.
           I gave the book to him.
     12. prep. (time) Preceding.
           ten to ten = 9:50; We're going to leave at ten to (the hour).
     13. prep. Used to describe what something consists of or contains.
           Anyone could do this job; there's nothing to it.
           There's a lot of sense to what he says.
     14. prep. (Canada, UK, Newfoundland, West Midlands) At.
           Stay where you're to and I'll come find you, b'y.
     15. adv. Toward a closed, touching or engaging position.
           Please push the door to.
     16. adv. (nautical) Into the wind.
     17. adv. misspelling of too
solve
     1. v. To find an answer or solution to a problem or question; to work out.
     2. v. (mathematics) To find the values of variables that satisfy a system of equations and/or inequalities.
     3. v. (mathematics) To algebraically manipulate an equation or inequality into a form that isolates a chosen variable on one side, so that the other side consists of an expression that may be used to genera
     4. n. (now rare, chiefly law enforcement) A solution; an explanation.
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.
problem
     1. n. A difficulty that has to be resolved or dealt with.
           She's leaving because she faced numerous problems to do with racism.
     2. n. A question to be answered, schoolwork exercise.
     3. n. A puzzling circumstance.
     4. adj. (of a person or an animal) Difficult to train or guide; unruly.
     5. adj. Causing a problem; problematic; troublesome.
Dictionary entries from Wiktionary