Reputation
3,229
Top tag
Next privilege 5,000 Rep.
Approve tag wiki edits
Badges
9 30
Newest
 Nice Answer
Impact
~109k people reached

Jun
17
revised On norms for “more complicated objects”
deleted 75 characters in body
Jun
11
revised Can every definite integral be expressed as a combination of elementary functions?
added 2 characters in body
Jun
10
awarded  Nice Answer
Jun
10
revised Express 99 2/3% as a fraction? No calculator
added 693 characters in body
Jun
9
answered Express 99 2/3% as a fraction? No calculator
Jun
9
comment Why is $e$ so special?
Thinking aloud: the function $e^x$ has many interesting properties, e.g. if we consider the function $e^x$, then we find the derivate of $e^x$ is itself $e^x$. This is quite remarkable ! When $x=1$ we obtain $e^1=e$. $e^x$ is also strictly positive for all $x\in\mathbb{R}$. $e^x$ is also a transcendental function. Another remarkable formula involving $e^x$ is $e^{i\pi}+1=0$, where $i=\sqrt{-1}$.
Jun
8
comment The value of $\int^{\pi/2}_0 \frac{\log(1+x\sin^2\theta)}{\sin^2\theta}d\theta$
Sorry my mistake - updated.
Jun
8
revised The value of $\int^{\pi/2}_0 \frac{\log(1+x\sin^2\theta)}{\sin^2\theta}d\theta$
deleted 13 characters in body
Jun
8
answered The value of $\int^{\pi/2}_0 \frac{\log(1+x\sin^2\theta)}{\sin^2\theta}d\theta$
Jun
2
comment Why do we assume the complex plane is curvey at infinity?
@ Ollie Ford yes, I think that's what popped into my head, but mathematics needs to be rigorous, so this is just food for thought really !
Jun
2
comment Why do we assume the complex plane is curvey at infinity?
Just a thought: Give me any point $z$ in the upper half complex plane and I can tell you that the semi-circular contour of radius $|z|+1$ encloses it. Rectangular regions can be constructed similarly.
Jun
2
comment Extension of $|\cdot|_\infty$ on $\mathbb R$ to $\mathbb C$
I think this is related to Ostrowski's Theorem. Check out en.wikipedia.org/wiki/Ostrowski%27s_theorem "...any field, complete with respect to an archimedean absolute value, is (algebraically and topologically) isomorphic to either the real numbers or the complex numbers. This is sometimes also referred to as Ostrowski's theorem."
Jun
1
accepted Name for norm with property $\|x+y\|=\|x\|+\|y\|$.
Jun
1
comment Name for norm with property $\|x+y\|=\|x\|+\|y\|$.
Obviously people are liking your answer, but could you please clarify: Are you saying such a norm is called a "trivial norm"?
Jun
1
asked Name for norm with property $\|x+y\|=\|x\|+\|y\|$.
May
31
comment How do I calculate this integral:$\int_{0}^{1}\ln^2 \left| \sqrt x-\sqrt{1-x} \right|dx$?
I would split the domain to which $x$ belongs to describe positive and negative regions. That way you can dispose of the absolute value and simply evaluate a finite sum of integrals having no absolute values.
May
27
accepted Multiplying two inequalities
May
27
asked Multiplying two inequalities
May
27
revised How should I self-study calculus?
added 186 characters in body
May
27
answered How should I self-study calculus?