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Aug
27
revised Using partial fraction techniques to work out following intergrals
added 83 characters in body
Aug
25
comment Is there another function with a property like the log?
Trivially $f(x) = 0$, $\forall x \in \mathbb{R}$ has this property.
Aug
16
awarded  Notable Question
Aug
14
comment prove $\log(1+x)<x$ for $x>0$
But $\exp(x)$ is defined as $e^{x}$, so I'm not sure what you mean by prove it?
Aug
12
revised Determine whether a number is in a GP or not
added 48 characters in body
Aug
12
comment Determine whether a number is in a GP or not
@JMoravitz Yes, this is true. Let me edit my answer
Aug
12
answered Determine whether a number is in a GP or not
Aug
5
comment Is there another form of probability that does not hold the axioms of standard probability calculus?
Quantum Mechanics uses the usual definitions in probability theory, else it wouldn't be possible to tie it back to the real world. However, you will hear talk in QM of probability amplitudes, which are complex numbers and whose moduli-squared give the probability (which is a real number bounded between 0 and 1).
Aug
5
comment Simulate sum of N dice throws
Does your dice roll function have a uniform distribution over $[0,1)$?
Aug
5
answered There's something fundamental that I'm missing regarding the Standard Uniform Distribution (Continuous)
Aug
5
answered Surface integral on unit circle
Aug
4
comment Surface integral on unit circle
By $x$, do you mean along one of the Cartesian axes, or do you mean the radial axis in spherical co-ordinates?
Aug
3
revised The simplification of divided difference of cosine function
added 19 characters in body
Aug
3
revised The simplification of divided difference of cosine function
added 19 characters in body
Jul
17
revised Arc length of $f(x)=x^2-\ln x$ over [1,e]
added 13 characters in body; edited title
Jul
6
comment Sum: $1-2+3-4+5-6+…$
@Thomas Perhaps the OP is referring to Ramanujan summation? I don't know if that can assign this sum a value, but the sum of all natural numbers can be assigned $-\frac{1}{12}$, despite it being a divergent sequence.
Jul
5
accepted Is the mode of the sum the same as the sum of the modes
Jul
4
comment Is the mode of the sum the same as the sum of the modes
@BruceTrumbo Thank you, apologies for the lack of clarity in the first instance! I appreciate you taking the time to answer!
Jul
4
revised Is the mode of the sum the same as the sum of the modes
added 298 characters in body
Jul
4
revised Is the mode of the sum the same as the sum of the modes
added 26 characters in body