Yes I have thought of Bertrand's Postulate, too; but I need a distinct proof of the theorem. Thank you anyway.
OwlHoot, thank you for extending LeonhardEuler's answer and proving the theorem. Your proof to the theorem seems elegant.
I also reached another proof of the theorem, which...
Hello. I have to prove the fallowing theorem:
"There is at least one prime number between n and n! (n factorial) for all n>2."
I would be happy if you could prove this theorem for me or at least tell me if you have used the rule of Infinity of Prime Numbers in your proof. Thank you.
oh. i will work on that.
turns out my teacher has not said a single word on continuity correction and normal approximation. so i just assumed i could solve it using commulative thing.
Hi. i keep finding a different answer than what textbook offers. is my answer correct?
question: the quality control department of a company making computer chips knows that 2% of the chips arw defective. use the nurmal approximation to the binomial probability distribution, with a continuity...
thank you for your answer.
i think i found sth:
say (k,m) = 1
x=a (mod k)
x=a (mod m)
x=kt+a and x=my+a
kt=my
t=mb
y=kb
then x=kmb+a
x-a=kmb
x-a=0 (mod km)
x=a (mod km)
it is valid, isn't it? any counterexamples?
i might be making it up, but i am confused.
can we say:
x\equiv2 (mod k)
x\equiv2 (mod m)
hence
x\equiv2 (mod km) by km i mean k multiplied by m.
if not, what is the result? or can it be found?
thank you in advance.
well, thanks a lot! :) that was what i observed during the experiment too. (Although it turned out to be wrongly designed as i couldn't stabilize the velocity at the instance of impact between different angles.)
I guess i will investigate the relation between velocity and crater radius...
Hi! I have a quick question: Does the angle of impact (inclination) of meteorids effect the radius of craters they create? If so, does the radius increase as the angle increases? (the angle is between 0 and \frac{\pi}{2})
thank you :)
Of course you are right; each and every individual whose mind is greatly concerned with Science is a great person. Nevertheles, a favourite great person can be chosen by other individuals for admiration and, i may say, as a mentor. For me, instead of personality, accomplishments of a favourite...
Gauss is the king, or thought to be so. On the other hand I don't think he is the best; i would rather vote for Euler for his e^{i}\pi + 1 = 0 (the most beautiful and elegant equation I have ever seen)
First of all, thanks a lot! It really helped. My physics teacher does not give us these "details" (which I don't think so); I believe he expects us to suddenly come up with the idea of this process for uncertainties. Thank you anyway.
Homework Statement
I have a problem while writing the uncertainty of datas in my lab report (portfolio).
So, here is my question:
While multiplying some data with different uncertainties, I do multiply their uncertainties too, right?
Then, if the multiplication of uncertainities has...