SERVING THE QUANTITATIVE FINANCE COMMUNITY

Cuchulainn
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### Re: Universe Tea - Blog 2018

the $n$th-term test for divergence:

If $\lim_{n\to\infty}a_{n}\ne 0$ or if the limit does not exist, then $\sum _{n=1}^{\infty }a_{n}$ diverges
Which is what we've got here
The theory of dynamical systems (Lotka-Voltera model, strange attractors, etc.) and practically all modern theories in economy, sociology or biology would not exist if Cauchy's descendants (Poincaré?) dropped the problem at that point - vide limit sets. (I agree that the S=1/2 makes no sense, though.)
1/2 = (1 + 0)/2 and it is used to smooth out Gibbs thingies at points of discontinuity/incompatibility.

If S = 1/2 is not to your liking you can have

S = 0 = (1-1) + (1-1)+...

or

S = 1 = 1 + (-1+1) + (-1+1)+ ...

ppauper
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Joined: November 15th, 2001, 1:29 pm

### Re: Universe Tea - Blog 2018

or S alternates between 0 and 1

katastrofa
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### Re: Universe Tea - Blog 2018

S is a limit which is divergent as everybody can see / doesn't exist in the standard limit sense. In the context of dynamical systems, it has a limit set. Either way, it doesn't make sense to write "S-1".

Cuchulainn
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### Re: Universe Tea - Blog 2018

S is a limit which is divergent as everybody can see / doesn't exist in the standard limit sense. In the context of dynamical systems, it has a limit set. Either way, it doesn't make sense to write "S-1".
I'm not 'everybody'. Can you try again?

katastrofa
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Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Universe Tea - Blog 2018

You surely are very special to me. I meant that Ppauper has already explained it:
the $n$th-term test for divergence:

If $\lim_{n\to\infty}a_{n}\ne 0$ or if the limit does not exist, then $\sum _{n=1}^{\infty }a_{n}$ diverges
Which is what we've got here

trackstar
Topic Author
Posts: 26696
Joined: August 28th, 2008, 1:53 pm

### Re: Universe Tea - Blog 2018

Well, it's hard not to stop by around the holidays...

I have a few things for your Solstice/Christmas/Hanukkah/Kwanza stockings and fair enough to say that almost *everyone* in the OT this year has been naughty and "nice" and naughty and... ahem, since people who live in glass castles shouldn't throw stones, I'll let you figure out the ratios.  : D

Here are your gifts - 1-5 tastefully wrapped and placed in a large picnic hamper from F&M:

1) One lump of clean coal - Burn it, trade it, save it in a little jar. Whatever you want, but it is very well-deserved!
2) One bitcoin (physical) - you can make a cool necklace, or a keychain out of it.
3) One floquet time crystal - have fun with that, but please do not attempt to move me into any other dimension - I'm fine right where I am!
4) One of the warmest, softest cashmere scarves you can imagine - your choice of color(s) and pattern.
5) One sumptuous meal just for you - your most favorite foods. Vegan, Vegetarian, Paleo, all good on this occasion. If you ask for horse meat, I will be disappointed though. ; )
6) Peace, Creativity, and your own special version of "Happiness" to all for the new year.

I'm going back to my little corner of the wilderness now, but Gruss vom Krampus!

TS
trees and light.JPG
Edit: typo corrected, but no gifts were rescinded. : D
Last edited by trackstar on December 25th, 2018, 12:13 am, edited 1 time in total.

bearish
Posts: 4633
Joined: February 3rd, 2011, 2:19 pm

### Re: Universe Tea - Blog 2018

Thank you, trackstar, and a peaceful and prosperous winter to you too! I'm about to go wrangle up some lobsters for a festive evening meal.

katastrofa
Posts: 7660
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Universe Tea - Blog 2018

And 7) a lot of vodka! They stopped selling (officially) this Christmas basics in Ukraine  - the martial law. Suddenly it's become too risky to visit the family.

trackstar
Topic Author
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Joined: August 28th, 2008, 1:53 pm

### Re: Universe Tea - Blog 2018

8) not to forget, a gift of Music.

something for a gray afternoon with snow flurries drifting down

White candles lit, a glass of *cognac, and Anonymous 4.

*Can substitute a fifth of vodka, a flask of Glögg, a pint of Guinness... as you wish. ; )
To light and darkness.

Cuchulainn
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Joined: July 16th, 2004, 7:38 am
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### Re: Universe Tea - Blog 2018

katastrofa
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Joined: August 16th, 2007, 5:36 am
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### Re: Universe Tea - Blog 2018

Cheers to you, Lady Trackstar! I also wanted to add that I, among all those callous savages, miss you the most... Not from your list, but also a nice present I got today - a very old hair comb worn by 5 already dead people, I'm 6th. The other half of a bottle of Syrah to go! To your health, as my people say
Attachments

trackstar
Topic Author
Posts: 26696
Joined: August 28th, 2008, 1:53 pm

### Re: Universe Tea - Blog 2018

an extended break has been very refreshing. a holiday visit is fine though.

your cats are so funny, they called me back in here, and I admired the intricate hair comb as well. unfortunate you could not make the trip home right now.

Here just cooking and thinking about some art work for the new year. Recently, I bought a book on illuminated manuscripts and one on calligraphy, so when I have a little time, I will create some texts in the old style.

Have also been looking at stained glass.  Here is Joan of Arc - look at the armor!
joan of arc.jpg
and I also plan to plant trees this spring - will raise some in the house for now.
littlebalsamtree.JPG
hope you will enjoy the holiday - if i were stuck in England, I would rent a car and go up to the Cotswolds.  Beautiful land up there and not too far to drive in a day.  Further north into Scotland is even better.

trackstar
Topic Author
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Joined: August 28th, 2008, 1:53 pm

### Re: Universe Tea - Blog 2018

10) More music (always!)
Never mind the image's reference to "The Bridegroom" - that is irrelevant.  ; )

Just listen to the floating polyphonies on a dark winter night.

trackstar
Topic Author
Posts: 26696
Joined: August 28th, 2008, 1:53 pm

### Re: Universe Tea - Blog 2018

A newly discovered forest trail - goes for many miles.
foresttrail.JPG

katastrofa
Posts: 7660
Joined: August 16th, 2007, 5:36 am
Location: Alpha Centauri

### Re: Universe Tea - Blog 2018

Stunning! Is that photo from today? Has the snow melted? I remember a song about being in love with a snowman, and the spring coming... :'-(