Difference between ∑ and ∑1 [closed] - alphabet

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I learn a deterministic final automat, nondeterministic,regex... And I found that is important to know a difference between ∑ and ∑1 since they both the same if ∑={0,1}, but I will answer that ∑1 is result of concatenation epsilon and 0,and the epsilon and 1.How would you answer that the question is asked by the professor?

Well, sigma is a finite set of input symbols called the alphabet ∑.
∑1 on the other hand is the word w consisting of one letter of the alphabet ∑, hence the 1 in ∑.

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ASCII number for exponent -2 and -3 [closed]

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I am trying to find an ascii formation to have a unit in a graph in exponent -2 and -3. For example mm^(-2). I found the relevant ascii formation for exponent 2 and 3 but i cannot find how to include the - sympol in the exponent.
Do you have any suggestions?
It depends on the character set you are using. If Unicode then there is 'SUPERSCRIPT MINUS' (U+207B) but not superscript minus two. So, as two characters, mm⁻².

Rounding a very small number in character format [closed]

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I have a very small number like 1.466013e-65,
I want to round it to 3 decimals left while keeping all the 0s, here is the code I used:
round(1.466013e-65,3)
this will get me 0, but I want it to be 0.000.
How to do it?
If you are fine with character, then you can do it using:-
sprintf("%.3f", round(1.466013e-65, 3))
[1] "0.000"

Specific code from SAS to R [closed]

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I am trying to write this (SAS) comand in R. x is a variable with this specific format: j61915035t
x1 = trim(upcase(substr(x,1,1)));
I really appreciate what you are doing in this site!
You want to remove leading/trailing blanks from a character string that is the uppercase first letter of the string x. So this should do it.
library(stringr)
x1 = str_trim(str_to_upper(str_sub(x,1,1)))

Maximum factorial that is formed by three digits? [closed]

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Number of digits that are present in the maximum number that is formed using three digits?
Maximum factorial that is formed by three digits?
This was a question asked on a site.
I am not able to understand is there any thing tricky i am not getting?
i have tried 3 and 720 but it is incorrect
The maximum factorial which can be formed using 3 digits is 999!.
The answer can be easily obtained from wolfram alpha.
Number of digits in 999!.
999!=Answer

Integration and dx [closed]

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I'm writing a calculator for iOS and need to know a very basic thing: is an integral w.r.t x appended with a dx or a δx and why? I understand δ is an infinitesimally small value whereas a dx is a very small value but which is correct?
dx is the correct notation. Wiki on integral

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