Englishfor English speakers
represent
Verb
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To represent is to stand in the place of; to act the part of (another).
A member of Congress represents his district in Congress.
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To represent is to serve as a sign or symbol of; as, mathematical symbols represent quantities or relations; words represent ideas or things.
by
Preposition
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near or next to.
The mailbox is by the bus stop.
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at some time before (the given time).
Be back by ten o'clock!
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if something is done by somebody, it is done through their action
The matter was decided by the chairman.
The boat was swamped by the water.
He was protected by his body armour.
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if something is created by somebody, they are the creator, author, etc.
There are many well-known plays by William Shakespeare.
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shows how someone does something
I avoided the guards by moving only when they weren't looking.
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using the rules or logic of.
I sorted the items by category.
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with a change of. In this case, by shows how much something has changed.
Our stock is up by ten percent.
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shows how slowly, or how quickly, someone does something (used in the form "X by X" or "by Xs")
We went through the book page by page.
We crawled forward by inches.
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If you multiply mathx/math by mathy/math, you multiply mathx/math × mathy/math.
Five multiplied by seven is 35.
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If you divide mathx/math by mathy/math, you find how many mathy/maths are in mathx/math.
35 divided by seven is five.
diagram
Noun
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A diagram is a drawing, or sketch, to show how something, such as a machine, works.
You can see from this diagram that the electric switch is very simple, in fact.
Here is a diagram of some machines in a power plant.