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10:07 PM
dunno how to simplify this further, i trapped myself !
@robjohn how to dissociate $D$ from $cos(\theta+D)$ and $sin(\theta+D)$ in this equation
we would have been driven to $sin(D)$ and $cos(D)$ this is bilateral equation need to be unified in terms of D, means $sin(D)$ and $sqrt(1-sin^2(D))$, oh darn, i hope things wont get worse than a quadratic equation.
@Rigor rep of this guy is scaring me :S
 
10:23 PM
@Agawa001 Brian gives extremely high quality answer.
And yes, it is scary.
 
@Agawa001 what do you mean by dissociate? what do you want to get?
 
Robjohn does too :P
 
@robjohn $D$
@robjohn should i solve a quadratic equation ?
or is there a shortcut
 
The exact problem I am looking at is: http://math.stackexchange.com/questions/1469454/taylor-expansion-bound

I am asking this because in my notes there is the inequality $$|\delta_{h,r}f(x)- f''(x)| \leq \frac{11}{12} h^2 ||f^{(4)}||_{\infty}$$ and I tried to prove it on my own. Do we maybe conclude to that in an other way? @robjohn
 
@Rigor wow, 4lines answer fits four hundred votes :O
users were so openhanded that time
anyways; gonna finish it tomorrow, ciao
 
10:33 PM
Later pal
 
@Agawa001 there are crazy popular questions that get overly saturated on some social medium somewhere and get tons of votes. Questions that are not really that mathematically interesting or difficult, but they get a lot of attention since the question grabs a lot of people's attention.
 
A short title helps.
 
@Rigor or a nice graphic or animation... this animation got some votes, I imagine
I should check whether Mma 10 fixes the bug in the generation of that animation (the missing part of the equator)
 
@robjohn agreed.
 
11:14 PM
@robjohn I find it annoying that the cube does that, also interesting, and I'm wondering if I could do it by hand...
 
11:41 PM
@DeMoivre they don't define a field structure on $F\times F$
@Karim Eric's answer on the original seemed to answer the question more to me
@MikeMiller @TedShifrin Either of you know how the accidental isomorphisms Spin(5)=Sp(2) and Spin(6)=SU(4) work? I know the ones for Spin(k) for k=1,2,3,4. Also, in Wikipedia's article on spin groups, what does it mean by "there are certain vestiges of these isomorphisms left over for n = 7, 8"? Is that the triality thing mentioned on the Spin(8) page?
 
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