Englishfor English speakers
article
Noun
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An article is a story or report that you can read in a newspaper, journal, or online.
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An article is a member of a larger group.
A shirt is an article of clothing.
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An article is an object.
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.
discussion
Noun
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A discussion happens when two or more people share ideas about something, usually by talking.
The company held detailed salary discussions with all employees.
There have been ongoing discussions about the new rules.