Image For A Stream Cross-section Is Approximated By A Trapezoidal Channel With Dimensions As ( Cross Sectional Area Of A Stream #2)
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Forfor (fôr; unstressed fər),USA pronunciation prep.
- with the object or purpose of: to run for exercise.
- intended to belong to, or be used in connection with: equipment for the army; a closet for dishes.
- suiting the purposes or needs of: medicine for the aged.
- in order to obtain, gain, or acquire: a suit for alimony; to work for wages.
- (used to express a wish, as of something to be experienced or obtained): O, for a cold drink!
- sensitive or responsive to: an eye for beauty.
- desirous of: a longing for something; a taste for fancy clothes.
- in consideration or payment of;
in return for: three for a dollar; to be thanked for one's efforts.
- appropriate or adapted to: a subject for speculation; clothes for winter.
- with regard or respect to: pressed for time; too warm for April.
- during the continuance of: for a long time.
- in favor of;
on the side of: to be for honest government.
- in place of;
instead of: a substitute for butter.
- in the interest of;
on behalf of: to act for a client.
- in exchange for;
as an offset to: blow for blow; money for goods.
- in punishment of: payment for the crime.
- in honor of: to give a dinner for a person.
- with the purpose of reaching: to start for London.
- contributive to: for the advantage of everybody.
- in order to save: to flee for one's life.
- in order to become: to train recruits for soldiers.
- in assignment or attribution to: an appointment for the afternoon; That's for you to decide.
- such as to allow of or to require: too many for separate mention.
- such as results in: his reason for going.
- as affecting the interests or circumstances of: bad for one's health.
- in proportion or with reference to: He is tall for his age.
- in the character of;
as being: to know a thing for a fact.
- by reason of;
because of: to shout for joy; a city famed for its beauty.
- in spite of: He's a decent guy for all that.
- to the extent or amount of: to walk for a mile.
- (used to introduce a subject in an infinitive phrase): It's time for me to go.
- (used to indicate the number of successes out of a specified number of attempts): The batter was 2 for 4 in the game.
- for it, See in (def. 21).
- seeing that;
Streamstream (strēm),USA pronunciation n.
- a body of water flowing in a channel or watercourse, as a river, rivulet, or brook.
- a steady current in water, as in a river or the ocean: to row against the stream; the Gulf Stream.
- any flow of water or other liquid or fluid: streams of blood.
- a current or flow of air, gas, or the like.
- a beam or trail of light: A stream of moonlight fell from the clouds.
- a continuous flow or succession of anything: a stream of words.
- prevailing direction;
drift: the stream of opinion.
- on stream, in or into operation: The factory will be on stream in a month.
- to flow, pass, or issue in a stream, as water, tears, or blood.
- to send forth or throw off a stream;
run or flow (often fol. by with): eyes streaming with tears.
- to extend in a beam or in rays, as light: Sunlight streamed in through the windows.
- to move or proceed continuously like a flowing stream, as a procession.
- to wave or float outward, as a flag in the wind.
- to hang in a loose, flowing manner, as long hair.
- to send forth or discharge in a stream: The wound streamed blood.
- to cause to stream or float outward, as a flag.
- [Naut.]to place (an object) in the water at the end of a line attached to a vessel.
Isis (iz),USA pronunciation v.
- 3rd pers. sing. pres. indic. of be.
- as is. See as 1 (def. 21).
Byby1 (bī),USA pronunciation prep., adv., adj., n., pl. byes.
- near to or next to: a home by a lake.
- over the surface of, through the medium of, along, or using as a route: He came by the highway. She arrived by air.
- on, as a means of conveyance: They arrived by ship.
- to and beyond the vicinity of;
past: He went by the church.
- within the extent or period of;
during: by day; by night.
- not later than;
at or before: I usually finish work by five o'clock.
- to the extent or amount of: The new tug is larger than the old one by a great deal. He's taller than his sister by three inches.
- from the opinion, evidence, or authority of: By his own account he was in Chicago at the time. I know him by sight.
- according to;
in conformity with: This is a bad movie by any standards.
- with (something) at stake;
on: to swear by all that is sacred.
- through the agency, efficacy, work, participation, or authority of: The book was published by Random House.
- from the hand, mind, invention, or creativity of: She read a poem by Emily Dickinson. The phonograph was invented by Thomas Edison.
- in consequence, as a result, or on the basis of: We met by chance. We won the game by forfeit.
- accompanied with or in the atmosphere of: Lovers walk by moonlight.
- in treatment or support of;
for: He did well by his children.
next after, as of the same items in a series: piece by piece; little by little.
- (in multiplication) taken the number of times as that specified by the second number, or multiplier: Multiply 18 by 57.
- (in measuring shapes) having an adjoining side of, as a width relative to a length: a room 10 feet by 12 feet.
- (in division) separated into the number of equal parts as that specified by the second number, or divisor: Divide 99 by 33.
- in terms or amounts of;
in measuring units of: Apples are sold by the bushel. I'm paid by the week.
- begot or born of: Eve had two sons by Adam.
- (of quadrupeds) having as a sire: Equipoise II by Equipoise.
- [Navig.](as used in the names of the 16 smallest points on the compass) one point toward the east, west, north, or south of N, NE, E, SE, S, SW, W, or NW, respectively: He sailed NE by N from Pago Pago.
- into, at, or to: Come by my office this afternoon.
in the immediate vicinity;
at hand: The school is close by.
- to and beyond a point near something;
past: The car drove by.
away: Put your work by for the moment. Over the years, she laid by enough money to retire.
past: in times gone by.
- by and by, in a short time;
presently: The clouds will disappear by and by.
- by and large, in general;
on the whole: By and large, there is much to be said for the new system.
- by me:
- (in bridge and other bidding card games) a declaration that the speaker is passing.
- (in poker) a declaration that the speaker is checking: Is my pair of tens still high? By me.
adj. Also, bye.
- situated to one side: They came down a by passage.
- secondary, incidental: It was only a by comment.
- by the by. See bye 1 (def. 5).
Channelchan•nel1 (chan′l),USA pronunciation n., v., -neled, -nel•ing or (esp. Brit.) -nelled, -nel•ling.
- the bed of a stream, river, or other waterway.
- a navigable route between two bodies of water.
- the deeper part of a waterway.
- a wide strait, as between a continent and an island.
- a course into which something may be directed: He hoped to direct the conversation to a new channel.
- a route through which anything passes or progresses: channels of trade.
- channels, the specific, prescribed, or official course or means of communication: In an emergency he was able to reach the governor without going through channels.
- a groove or furrow.
- a means of access: He considers the Senate a channel to the White House.
- a flute in a column, esp. one having no fillet between it and other flutes.
- any of the prominent vertical grooves in a triglyph.
- (in jazz or popular music) a bridge.
- a frequency band of sufficient width for one- or two-way communication from or to a transmitter used for television, radio, CB radio, telephone, or telegraph communication.
- a path for the transfer of signals or data within a computer or between a computer and its peripheral equipment.
- either of the two signals in stereophonic or any single signal in multichannel sound recording and reproduction.
- a transient opening made by a protein embedded in a cell membrane, permitting passage of specific ions or molecules into or out of the cell: calcium channel.
- a tubular passage for liquids or fluids.
- any structural member, as one of reinforced concrete, having the form of three sides of a rectangle.
- a number of such members: channel in 100-foot lengths.
- See channel iron.
- to convey through or as through a channel: He channeled the information to us.
- to direct toward or into some particular course: to channel one's interests.
- to excavate as a channel.
- to form a channel in;
chan′nel•er* [esp. Brit.,] chan′nel•ler, n.
- to become marked by a channel: Soft earth has a tendency to channel during a heavy rain.
Withwith (with, wiᵺ),USA pronunciation prep.
- accompanied by;
accompanying: I will go with you. He fought with his brother against the enemy.
- in some particular relation to (esp. implying interaction, company, association, conjunction, or connection): I dealt with the problem. She agreed with me.
- characterized by or having: a person with initiative.
- (of means or instrument) by the use of;
using: to line a coat with silk; to cut with a knife.
- (of manner) using or showing: to work with diligence.
- in correspondence, comparison, or proportion to: Their power increased with their number. How does their plan compare with ours?
- in regard to: to be pleased with a gift.
- (of cause) owing to: to die with pneumonia; to pale with fear.
- in the region, sphere, or view of: It is day with us while it is night with the Chinese.
- (of separation) from: to part with a thing.
- against, as in opposition or competition: He fought with his brother over the inheritance.
- in the keeping or service of: to leave something with a friend.
- in affecting the judgment, estimation, or consideration of: Her argument carried a lot of weight with the trustees.
- at the same time as or immediately after;
upon: And with that last remark, she turned and left.
- of the same opinion or conviction as: Are you with me or against me?
- in proximity to or in the same household as: He lives with his parents.
- (used as a function word to specify an additional circumstance or condition): We climbed the hill, with Jeff following behind.
- in with. See in (def. 22).
- with child, pregnant.
- with it:
- knowledgeable about, sympathetic to, or partaking of the most up-to-date trends, fashions, art, etc.
- representing or characterized by the most up-to-date trends, fashions, art, etc.
- with that. See that (def. 10).
Dimensionsdi•men•sion (di men′shən, dī-),USA pronunciation n.
- a property of space;
extension in a given direction: A straight line has one dimension, a parallelogram has two dimensions, and a parallelepiped has three dimensions.
- the generalization of this property to spaces with curvilinear extension, as the surface of a sphere.
- the generalization of this property to vector spaces and to Hilbert space.
- the generalization of this property to fractals, which can have dimensions that are noninteger real numbers.
- extension in time: Space-time has three dimensions of space and one of time.
- Usually, dimensions.
- measurement in length, width, and thickness.
importance: the dimensions of a problem.
- unit (def. 6).
size: Matter has dimension.
- a magnitude that, independently or in conjunction with other such magnitudes, serves to define the location of an element within a given set, as of a point on a line, an object in a space, or an event in space-time.
- the number of elements in a finite basis of a given vector space.
- any of a set of basic kinds of quantity, as mass, length, and time, in terms of which all other kinds of quantity can be expressed;
usually denoted by capital letters, with appropriate exponents, placed in brackets: The dimensions of velocity are[LT-1]. Cf. dimensional analysis.
- dimensions, the measurements of a woman's bust, waist, and hips, in that order: The chorus girl's dimensions were 38-24-36.
- See dimension lumber.
- to shape or fashion to the desired dimensions: Dimension the shelves so that they fit securely into the cabinet.
- to indicate the dimensions of an item, area, etc., on (a sketch or drawing).
Asas1 (az; unstressed əz),USA pronunciation adv.
- to the same degree, amount, or extent;
equally: I don't think it's as hot and humid today as it was yesterday.
- for example;
for instance: Some flowers, as the rose, require special care.
- thought to be or considered to be: the square as distinct from the rectangle; the church as separate from the state.
- in the manner (directed, agreed, promised, etc.): She sang as promised. He left as agreed.
- as well. See well 1 (def. 11).
- as well as. See well 1 (def. 12).
- (used correlatively after an adjective or adverb prec. by an adverbial phrase, the adverbial as, or another adverb) to such a degree or extent that: It came out the same way as it did before. You are as good as you think you are.
- (without antecedent) in the degree, manner, etc., of or that: She's good as gold. Do as we do.
- at the same time that;
when: as you look away.
because: As you are leaving last, please turn out the lights.
- though: Questionable as it may be, we will proceed.
- with the result or purpose: He said it in a voice so loud as to make everyone stare.
- [Informal.](in dependent clauses) that: I don't know as I do.
- [Midland and Southern U.S. and Brit. Dial.]than.
- as … as, (used to express similarity or equality in a specified characteristic, condition, etc., as between one person or thing and another): as rich as Croesus.
- as far as, to the degree or extent that: It is an excellent piece of work, as far as I can tell.
- as for or to, with respect to;
in reference to: As for staying away, I wouldn't think of it.
- as good as:
- equivalent to;
practically: as good as new.
- true to;
trustworthy as: as good as his word.
- as how, [Chiefly Midland and Southern U.S.]that;
whether: He allowed as how it was none of my business. I don't know as how I ought to interfere.
- as if or though, as it would be if: It was as if the world had come to an end.
- as is, in whatever condition something happens to be, esp. referring to something offered for sale in a flawed, damaged, or used condition: We bought the table as is.
- as it were, in a way;
so to speak: He became, as it were, a man without a country.
- as long as. See long1 (def. 39).
- as of, beginning on;
on and after;
from: This price is effective as of June 23.
- as regards, with regard or reference to;
concerning: As regards the expense involved, it is of no concern to him.
- as such:
- as being what is indicated;
in that capacity: An officer of the law, as such, is entitled to respect.
- in itself or in themselves: The position, as such, does not appeal to him, but the salary is a lure.
- as yet, up to the present time;
until now: As yet, no one has thought of a solution.
- (used relatively) that;
which (usually prec. by such or the same): I have the same trouble as you had.
- a fact that: She did her job well, as can be proved by the records.
- [New England, Midland, and Southern U.S.]who;
that: Them as has gets.
- in the role, function, or status of: to act as leader.
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