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I want to understand the physical significance of n raise to some decimal power.
Like when i say 2^5. I understand that it means 2 multiplied 5 times. But how do i analyse 2^0.1.
Please suggest.
2^0.1 is the tenth root of 2. For rational powers, x^(p/q)=(x^p)^(1/q) is a combination of powers and roots.
For general real numbers,
x^y = exp(log(x)*y).
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I am reviewing a proof at the moment and there is terminology that I do not understand. What does it mean for a polynomial to have "integral coefficients"?
"Integral coefficients" means that the coefficients of your final answer will be integers, unless there is a markedly different context in which the question is being asked.
You can have a look at the definition here.
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I tried using recursive tree method.
and got a geometric series.
That follows :
kn^2(1+ (3/2) +(3/2)^2 +...+(3/2)^b)
The sum = a(r^m -1)/r-1.
b = log n.
Then what to do I got confused.
Have you heard of the Master's Theorem? Your example is a relatively simple subcase (no logarithms). The result is:
T = Theta(n^2)
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((A*55)/(A+1815))+4=B
eg.:
((1000*55)/(1000+1815))+4=23.53819
How can i calculate from
23.53819 1000?
A and B are variables.
Sry for my bad english ;)
Thanks any help!
Just follow the steps described before. The goal is to manipulate the expression to get all terms containing the variable to be solved for on one side.
You Have to First do what ever present in Brackets then Division, Multiplication and then Addition and Subtraction.
For any equation you have to follow the sequence.
Hope this helps
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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
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The following is a recursive definition of positive real numbers from book "Computer Theory" by I. Cohen.
1 is in positive R
If x and y are in R, then so x+y, xy, and x/y
but the author said that
it does define some set, but it is not the set of positive real numbers
What does it mean as all the positive numbers are in the set defined by the above definition?
Those are all rational operations, so that set is not the positive real numbers because it doesn't include any positive irrational numbers (e.g. sqrt(2)).