Englishfor English speakers
analyze
Verb
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If you analyze something, you study it carefully to understand it, often to see what it is made of.
They can make up questions, collect field data, and analyze that data on their computers.
The dust was analyzed to determine its chemical contents.
by
Preposition
—
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.
x
Noun
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X is the twenty-fourth (24th) letter of the alphabet.
"x" comes after "w" and before "y"
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This is the Roman numeral for ten (10). It may be written as X or x.
ray
Noun
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A ray is a line of light or energy, coming out from where it starts.
Some rays of light from the sun shone between the leaves of the tree and lighted the top of his head.
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A ray in math is a line that starts at one point and goes on forever in one direction.
Two rays that start at the same point make an angle.
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A ray is a type of fish which lives on the bottom of the ocean.