famous number that shows up in many mathematical applications

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hhtt21

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"Another famous number that shows up in many mathematical applications is the
exponential function."

What does "show up" mean in the above? Does it mean "come up with" or "occur"?

Source: Matlab Demystified.

Thank you.
 
How could 'come up with' possibly make sense in that sentence?

Come up with=Encounter. We encounter with that number.

Thank you.
 
In which dictionary did you find that definition?
That means nothing.

Sorry, it is my fault that I learnt it incorrectly from some translations.

thank you.
 
In which dictionary did you find that definition?
That means nothing.

Why is "we encounter with that number" meaningless? Cannot somebody encounter with e number or pi number?

Thank you.
 
Why is "we encounter with that number" meaningless? Cannot somebody encounter with e number or pi number?
You can encounter the number e or the number π. If you do, you have had an encounter with the number. You cannot "encounter with​" something.
 
The object of a preposition cannot be simultaneously the direct object of a verb.

Is with here the preposition? Would you like to explain above more clearly?

Thank you.
 
1. In I met Fred yesterday, 'Fred' is the direct object of the verb 'met'.

2. In I met with Fred yesterday, 'Fred' is the object of the preposition 'with'.

The verb is transitive in the first sentence, intransitive in the second.

A transitive verb has a direct object. The object of a preposition cannot be simultaneously the direct object of a verb.

What is the difference between the two sentences above? Are both correct? How would the situation be if the object of a preposition was simultaneously the direct object of a verb as a third one, 3.? In the example of "We encounter with that number" does the object "that number" both belong to "with" and "encounter"?

Thank you.
 
In the example of "We encounter with that number" does the object "that number" both belong to "with" and "encounter"?Why are you asking that? You have been told a couple of times that you cannot encounter with something.

Yes, I understand I cannot do in the example of "encounter". But because you have mentioned about direct object belonging to prepostion or verb and given an example satisfying the two cases, I wondered about "encounter". I also tried to understand your explanation "The object of a preposition cannot be simultaneously the direct object of a verb." over "encouter".

Thank you.

Thank you.
 
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It is completely fruitless for us to waste our time (and yours) trying to grammatically deconstruct an ungrammatical sentence. "We encounter with that number" cannot be used in grammatical English so let's just stop discussing it. Please!
 
I could start, but it would take forever to finish it.
 
Re-opening, but will close again if necessary.
 
It means "appears", hhtt21. And the exponential function is NOT a number. It is, as it says, a function. You need a new text
Would you please explain the part as it says? Does as it says mean by definition here?
 
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