ADVENTURES IN MATHEMATICS
Unfortunately our strict policy prohibits us from bringing you today's edition of Adventures in Mathematics.
(Thanks to Unholy Slacker)
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Unfortunately our strict policy prohibits us from bringing you today's edition of Adventures in Mathematics.
(Thanks to Unholy Slacker)
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if two CAT complexes are quasi-isometric, then the cores of their Tits boundaries are bi-Lipschitz.
I'm pretty sure that's still illegal in Texas, although Mittens supported it in Massachusetts.
Posted by: wiredog | May 29, 2012 at 02:43 PM
I always thought the tits boundary was the mathematically precise moment at which you get your hand slapped....
Posted by: Wolfsong | May 29, 2012 at 02:51 PM
I always suspected Lipschitz. NTTAWWT.
Posted by: Steve | May 29, 2012 at 02:51 PM
I'd just like to point out that the Tits boundary referred to is named after Jacques Tits, who is still living and makes his residence in--of course--France. Wow.
Posted by: Dmentd | May 29, 2012 at 03:05 PM
Graphically, the Tits boundary represents a double parabola with a theoretical constant of 36C, with a declining slope over time...
Posted by: padraig | May 29, 2012 at 03:13 PM
two points in the Tits boundary
Especially on a cold day.
Posted by: Layzeeboy | May 29, 2012 at 03:18 PM
T & A=B+C
Posted by: Loudmouth | May 29, 2012 at 03:39 PM
Dmentd, tragically even with all the stuff named after Dr. Tits, the grad students still giggle behind his back.
Posted by: Elon | May 29, 2012 at 03:42 PM
I read of a mathematician who answered a reporter who asked him to explain his paper by saying, "I'm sorry. I'm afraid I can't. It would take three years of study at the graduate level just to understand the title."
Posted by: Ernie G | May 29, 2012 at 04:21 PM
its lippencocker.
either way, i cant understand anymath.
Posted by: queensbee | May 29, 2012 at 04:37 PM
I am proud and surprised at how many commentators to this blog seem to be conversant with differential geometry. Well, maybe not surprised.
Posted by: normnuke | May 29, 2012 at 05:02 PM
Here is the greatest mathematical joke ever:
DID YOU HEAR ABOUT THE PROBLEM OF THE CONSTIPATED MATHEMATICIAN ?
HE WORKED IT OUT WITH A PENCIL.
Posted by: LeDud | May 29, 2012 at 05:06 PM
Dud, that was the old days. More recently, they used a slide rule; nowadays, they use either a calculator, which obviously presents difficulties, or a computer, which is even more difficult.
Posted by: Dmentd | May 29, 2012 at 05:23 PM
The tits boundary is variable depending on the frequency and amplitude of any vertical movement of the carrier of residence. So I heard.
Posted by: WVplantman | May 29, 2012 at 05:29 PM
Any lack of variation in the tits boundary under said verticle movement is indicative of a thermoplastic substance expanding the specimens to the point of stability and loss of pliability.
Posted by: WVplantman | May 29, 2012 at 05:35 PM
If there were a cat named Dolly Parton, this formula would explode.
Posted by: HogsAteMySister | May 29, 2012 at 07:18 PM
HOOTS to all above bloggers, with a special Snorrrk to Hogs.
Posted by: Curtis E Flush | May 29, 2012 at 07:53 PM
I hope all of you are happy. All this math talk has given me a headache.
Posted by: nursecindy | May 29, 2012 at 07:53 PM
St. Augustine says:
"...beware of mathematicians and all those who make empty prophecies. The danger already exists that mathematicians have made a covenant with the devil to darken the spirit and confine man in the bonds of Hell. "
I think he was just getting back at his math teacher, myself. All the same, hearing about how a thing is variable depending on the frequency and amplitude of any vertical movement of the carrier of residence does make me wonder...
Posted by: FleeJ | May 29, 2012 at 09:17 PM
"We also show that if two -complexes are quasi-isometric, then the cores of their Tits boundaries are bi-Lipschitz."
I always knew those isometric exercises would come in handy. Now my cores are bi-Lipschitz.
Posted by: Deb Amlen | May 29, 2012 at 10:13 PM
Veronica's Secret!
Posted by: Horace LaBadie | May 29, 2012 at 11:27 PM
I found myself, barely accountably, in Prague last summer at a seminar on quantum physics. Not a mathematician, me. On the 3rd day, they had what they called a poster session: all participants were expected to reduce their contributions to a graphic presentation (poster, to you and me) and hang it on a matte board in the upstairs lobby of the hotel the conference was taking place in. (The Olympia, if you're curious. And even if you're not.) The organizers provided finger food as a lure to get people to attend, and I was therefore lured. Out of curiosity, I wandered around the joint checking out the posters, to see if there were any I could make heads or tails of. Nope. Not even remotely. I was announcing my findings, or lack thereof, to my sis-in-law (a different one, not Nancy,) when a young man with an Australian accent, possibly 25 or so, said, "I'll explain mine, if you like." I told him I was a layman with only the barest understanding of quantum physics (I know it has to do with subatomic particles,) and he said, "Well, it'll be a challenge, then." He proceeded to lead me to one of the more put-together, eye-friendly posters, one that had caught my eye previously, and began to explain quantum walks to me, in baby steps. Everything went fine, (light can be polarized vertically, horizontally, or diagonally, etc.) until he came to a point he said he couldn't explain in simple terms and I would have to take it on faith (light can be polarized two ways, or all three at the same time,) and that was pretty much the end of my understanding. Mathematicians. My mind is still boggled, six ways from Sunday.
Posted by: Dmentd | May 30, 2012 at 12:01 AM
Spammers showed up way early.
Posted by: wiredog | May 30, 2012 at 07:09 AM
In one of my more astounding discoveries in my teenage years, I discovered that the first boundary I actually got to consisted of somewhat compressed Kleenex.
Explain that with your math.
Posted by: Steve | May 30, 2012 at 09:47 AM
LeDud, mathematicians use a pencil to work out their (constipation) problems.
Engineers use logs.
Posted by: DrPat | May 30, 2012 at 10:43 AM