chwala's latest activity
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* When I came across this new look last night, my second reaction was, "Here we go again!" My first reaction can't be posted on a... -
How do we get back to the old style?
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Something about the new style makes it much less readable. I don't know if it's the font? Do we have any control over these things? So...
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Same here - the font seems a lot harder to read.
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PF style 2026 has been released. It's a warmer, more modern and academic theme. Please thread in your feedback and suggestions. I'll be...
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chwala reacted to anuttarasammyak's post in the thread Prove that ## 4\tan^{-1}\left[\dfrac{1}{5}\right]- \tan^{-1}\left[\dfrac{1}{239}\right]= \dfrac{π}{4}## with
Like.
Arg function depends on direction not magnitude of complex number as you got the same result with him. He made use of it for easy... -
chwala replied to the thread Prove that ## 4\tan^{-1}\left[\dfrac{1}{5}\right]- \tan^{-1}\left[\dfrac{1}{239}\right]= \dfrac{π}{4}##.@Gavran ...you left out ##50## i.e in the denominator... can you see that? ought to be ...$$=\arg(0.5+0.5i)=\dfrac{π}{4}$$ Cheers.
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chwala reacted to Gavran's post in the thread Problem involving ordinary differential equation with Like.
The substitution ## y_1=10^y ## simplifies the equation $$ 10^ydy=\frac{dx}{x\ln10} $$ to the equation ## dy_1=dx/x ##. The general case...
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This is getting to be a very boring thread. It's as if someone thinks it could be possible to prove this stuff actually wrong!
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chwala replied to the thread Undergrad Uniform convergence and pointwise convergence.For ##f_n(\theta)=e^{-n\sin \theta} ## on ##[0,π]## three cases to consider. Case 1 consider interior values, ##\sin \theta >0##...
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chwala reacted to pasmith's post in the thread Undergrad A counterexample to "the integral of the limit is the limit of the integral" with
Informative.
A generalization is to fix ##g: [0,1] \to \mathbb{R}## and let $$f_n : [0,1] \to \mathbb{R} : x \mapsto \begin{cases} ng(nx) & x < \frac... -
chwala replied to the thread Undergrad Uniform convergence and pointwise convergence.Will definitely look at it...
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chwala reacted to pasmith's post in the thread Undergrad A counterexample to "the integral of the limit is the limit of the integral" with Like.
I was going to append this to @chwala's thread here, but thought it deserved a new thread. For ##n \geq 1##, define $$f_n : [0,1] \to...
