20201011, 07:31  #34 
Jan 2020
173_{8} Posts 
Barack Obama has won more popular votes in 2008 than any of other U.S. presidential candidates before Nov 2020.

20201011, 13:01  #35 
Romulan Interpreter
Jun 2011
Thailand
7·1,279 Posts 
Ha ha ha ha, this is precious! Any geometric figure can be divided in any amount of other figures, whose total area is the area of the original figure, but I am not sure if those figures must have one or more right angles...
Last fiddled with by LaurV on 20201011 at 13:03 
20201011, 13:22  #36  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
19×547 Posts 
Quote:
The neutrinos are only held up for a minute or so whereas the bulk of the photons take the best part of a day to get through the collapsing material. You are very likely to be dead before that happens. Last fiddled with by xilman on 20201011 at 13:25 

20201011, 13:52  #37  
Feb 2017
Nowhere
3880_{10} Posts 
Quote:
The WallaceBolyaiGerwien Theorem says that two polygons (polygonal regions) are "congruent by dissection" if and only if they have the same area. 

20201011, 14:07  #38  
Feb 2017
Nowhere
2^{3}×5×97 Posts 
Quote:
Haw, haw, I love it! 

20201011, 14:14  #39  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
24231_{8} Posts 
Quote:
None of these are mainland territories but they are internationally recognized as being parrt of France. Take a look at β¬ denominated banknotes for some evidence. Spanish and Portuguese territories in the North Atlantic (which are politically part of Europe but not geographically so) have also been included. 

20201011, 14:22  #40  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
24231_{8} Posts 
Quote:
I am pleased that you have found it surprising. Neutrinos are nasty little buggers in sufficient quantities. You will be hit by a solar neutrino about once or twice a month on average. All the rest (about a quadrillion every second) will go straight through you. The SN1987a event resulted in 2030 detected neutrinos. If you multiply the mass of a human eyeball by the number of eyeballs around at the time by the neutrino reaction crossection it turns out that there was a 5050 chance of the Cerenkov radiation being visible. 

20201011, 16:31  #41 
Feb 2017
Nowhere
2^{3}·5·97 Posts 
I was mildly surprised about what the slug of neutrinos would do. I was much more surprised/bemused at the idea of being at 1 AU from a star about to nova.
In 1987, the question of whether neutrinos were massive or traveled at the speed of light was unanswered. IIRC the arrival time of the detected neutrinos WRT the light helped put bounds on the possible mass. Since then, of course, the question has been answered. There is clear evidence that neutrinos "change their stripes," between electron, muon, and tau neutrinos. Particles traveling at the speed of light can't do that. The result also solved the "solar neutrino problem," which was that only a third of the number of neutrinos predicted by theory were being detected. 
20201011, 16:35  #42 
Feb 2017
Nowhere
2^{3}×5×97 Posts 
There is a counterintuitive fact of probability called the "birthday paradox." If you assume that all birthdays are equally likely (they aren't, but close enough) and the people in a group are "randomly selected" with respect to birthday, and February 29 is excluded so there are 365 possible dates, then the probability of two people in the group having the same birthday is greater than 1/2 if the group has at least 23 people.
I was teaching a class one time, and was on the topic of probability. There were 22 students in the class, so I had each of them write their birthday on a slip of paper. No two of the birthdays matched. But one of them matched my birthday! There is another curious fact, having to do with permutations. A permutation which does not map any element to itself is called a derangement. The number of derangements of a set of n elements is sometimes called "subfactorial n" or nΒ‘ and may be expressed as . The sum is well known to be a partial sum for the usual series for 1/e. Thus, for example, if a deck of cards is shuffled "randomly," the probability that none of the cards will be in its original position is extremely close to 1/e. 
20201011, 17:48  #43 
6809 > 6502
"""""""""""""""""""
Aug 2003
101Γ103 Posts
10001011100011_{2} Posts 
A family had exactly 5 children, each born on the same day of the year in different years. This was thought to be the greatest coincidence (highest odds against). But a family with exactly 3 children each born on the same day of the year in different years beat those odds.
Each was delivered (not induced) on Feb 29th. 
20201011, 22:46  #44  
"Kieren"
Jul 2011
In My Own Galaxy!
67×151 Posts 
Quote:
As I thought, helium is produced via distillation from natural gas. https://en.wikipedia.org/wiki/Helium...d_distribution Quote:


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