Photons are indistinguishable and yet: we say we cannot tag or trace a specific photon as “belonging” to Sirius except by inference based on angle and wavelength. Observers differ: each human gets a different pencil of light photons from Sirius. That it is Sirius cannot be serious.
Article in the spirit of those math bods have been calculating not daring to say anything too mathematical to alienate readership
Is this why Wheeler (?) Proposed his one electron theorem?
Where would we be without Oliver Heavyside? #iteachmath #edusky #mathsky
This got me thinking of Cognitive Reflection Tests and maths PISA scores. Then found this article, tried to read the dirge of an abstract and remembered why I can't read education articles. www.researchgate.net/publication/...
Lovely stuff
Can you find a binary continued fraction -so.wthing like frac{1}{\sqrt{2}} = 2^{-1} + \frac{1}{2^2 + \frac{1}{2^0 + \frac{1}{2^2 + \cdots}}}. And then do so for ternary
Filling a Rectangle with non overlapping squares using Kirchoff's laws is as easy as deploying the laws in the real world. #mathSky
Fermat primes are -in the short term at least -winning the Mersenne prime generation Horseplay. #mathSky
Another aeon another half, and then another, and another..
Imagine the horror. The 23rd roots of unity, beautifully distributed around unit circle belies an ugly arithmetic imperfection within its cyclotomic field-the inability to uniquely decompose its elements. An imperfection discovered by Kumer scuppering Lamé’s proof of Fermat’s Last Theorem. #mathSky
A superabundant number is a positive integer for which the sum of divisors (inclusive of the number itself) divided by the number is greater than that for any smaller positive integer.
#mathsky
Presumably you can have <semi-rough primes> (composites formed of just two distinct primes of the finite prime set) - or is that <rough semi-primes>?
A number m in a finite set S = {1, 2, . . . , n} is called a rough prime relative to a prime set P = {p1, p2, . . . , pk} if m is not divisible by any prime in P and m ≤ n. Rough primes naturally relate to residues and arithmetic progressions modulo the primes in $P$ #mathSky #iteachMath
It took a while to get going. Of our age keep the preamble short
"We have a duty to shareholders-"
I don't care about your duty.
"Well without it shareholders-"
I don't care about shareholders.
"You better because capitalism needs-"
I don't care about capitalism.
"Well what DO you care about?"
The harm we do to each other and the excuses we hide behind.
The compact a story in 100 minutes format seems tired.
Physics is the disciplined pursuit for a description of an agreeable independent truth using increasingly less half-baked models. Seems a less futile pursuit than many these days given lack of consensus on most matters quotidian.
If only a quiet space was free.
We are as derivative as they are.
Work is done (overcoming a field). Does a field do anything or does it just be? For it can be both a noun or a verb?
Impulse delivered is what I will use now.
Can we do Fermi calculation of how much of me is someone previously - if I am 10^29 atoms and 100 billion modern humans have ever lived
Using Euler sum of primes
is this variation interesting to consider?
Agreed on volume - SA=10.8-1.6=9.2
I get V=27/19 and SA=10.8-1.6=9.2 units (for shadow coverage)
Do we have to consider the partial coverage on each surface by the adjacent cube?
A pure regression against the variance of the roots works quite well for cubics, but gets increasingly worse for higher order polys; kurtosis and skew take over so you might construct a dodgy multifactor model. Geometric mean distance from centroid of roots?
42 is the smallest deficient number with radical of 3 possessing a non-zero Möbius function* whose prime basis cuboid^ has the smallest surface area to volume, 82/42. #mathSky #iteachMaths
