What is the newest installment of 'Random Thoughts' on Physics Forums?

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SUMMARY

The forum discussion revolves around the latest installment of the "Random Thoughts" thread on Physics Forums, highlighting various topics including critiques of documentary programming on the History Channel and National Geographic's recent ownership change. Participants express concerns about the quality of content in documentaries and share personal anecdotes, such as a humorous incident involving a clogged kitchen extractor fan. The conversation also touches on mathematical discussions regarding prime numbers and cultural observations about societal norms and language use.

PREREQUISITES
  • Familiarity with documentary programming and its impact on public knowledge.
  • Basic understanding of prime numbers and mathematical proofs.
  • Awareness of cultural commentary and societal norms.
  • Knowledge of language variations and their implications in communication.
NEXT STEPS
  • Explore the impact of media ownership on documentary content quality.
  • Research advanced mathematical concepts related to prime numbers.
  • Investigate cultural differences in language use and societal expectations.
  • Learn about the effects of solar irradiation in different geographical locations.
USEFUL FOR

This discussion is beneficial for media analysts, educators in mathematics, cultural commentators, and anyone interested in the intersection of media, society, and education.

  • #1,651
Ibix said:
Neither he nor any of his team talked about Kolmogorov sets before taking office. Proof: fantasy and reality are not distinguishable by team Trump.
Yeah, very surprising, as they are otherwise really good at separations.
 
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  • #1,652
Used my beard trimmer before coming to work today. When I looked in the mirror at work there was one grey one that apparently survived the trimming. Tried to pull it out by hand, but the tough lil' bastard will not leave.

I'm actually encouraged by this, as I am sure it is some kind of metaphor for ageing.

-Dave K
 
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  • #1,653
dkotschessaa said:
I'm actually encouraged by this, as I am sure it is some kind of metaphor for ageing.
The old that is strong does not wither,
Deep roots are not reached by the frost.
 
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  • #1,654
People from the Philippines are Filipino, not Philipino, and I find that conphusing.
 
  • #1,655
How do you call people from Illinois?
 
  • #1,657
fresh_42 said:
How do you call people from Illinois?
Not sure what the people are called, but I seem to recall a conversation from about 35 years ago where someone from Missouri referred to Illinois as; "Illinoise", and vice versa; "Misery".

hmmmm... I wonder how French people pronounce "Illinois"?
Il-lay-nwah? Ee-lee-nwah?

Never bin to France. I have a new Facebook girlfriend from there though. She seems nice. Though... hmmmm... I think she's 1/3 my age, so I think I put her on FB "mute" about a month ago. Young people's brains work to fast, IMHO.
 
  • #1,658
Illinoians? Illinoisians? Illians?
 
  • #1,659
OmCheeto said:
Not sure what the people are called, but I seem to recall a conversation from about 35 years ago where someone from Missouri referred to Illinois as; "Illinoise", and vice versa; "Misery".
I thought it might have been something noisy. :cool: But "Misery" is good one.
hmmmm... I wonder how French people pronounce "Illinois"?
Should be no problem: Illinoises doesn't sound noisy in French. But I'm not sure whether it's French at all. They have a lot of indigenous names up there.
 
  • #1,660
nuuskur said:
Illinoians? Illinoisians? Illians?
Sounds annoying.
 
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  • #1,661
fresh_42 said:
How do you call people from Illinois?
With my phone.
 
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  • #1,662
People come to me after seeing a youtube video about how the sum of all natural numbers is some magical -\frac{1}{12} and they back it up by saying " .. but they say it's often used in QM, so it must be true..!" . I'm like: nope, that is not the sum of natural numbers :(
 
  • #1,663
nuuskur said:
People come to me after seeing a youtube video about how the sum of all natural numbers is some magical -\frac{1}{12} and they back it up by saying " .. but they say it's often used in QM, so it must be true..!" . I'm like: nope, that is not the sum of natural numbers :(
It is in a certain sense when involving analytic continuation of a function* that produces that sum. https://en.wikipedia.org/wiki/1_+_2_+_3_+_4_+_⋯

*(for example the Riemann Zeta function of -1.)
 
  • #1,664
I have seen a few proofs of the claim. One that abuses the Riemann zeta function \zeta (s) := \sum_{k=1}^\infty \frac{1}{k^s}. This is valid only when Re(s)>1. and they conclude result by
<br /> \zeta (s) = 2^s \pi ^{s-1}\sin\left (\frac{s\pi}{2}\right )\Gamma (1-s)\zeta (1-s)\vert _{s=-1} = -\frac{1}{12}<br /> which, indeed, is true, but its association to the series representation is invalid. Then there is the geometric series "proof" where they say \sum_{k=0}^\infty x^k = \frac{1}{1-x} and they do mention that it is valid when x&lt;1, but then conviniently set x=-1 and conclude their result. In reality, the sum is valid when |x|&lt;1 i.e they cheated. It's known as ex falso quodlibet. Proceed under false assumptions and conclude that the Sun is smaller than the Earth.. hooray. Not quite -.-

If we involve analytic continuation then we are no longer talking about the sum in the traditional sense. This is the part people get confused, because nobody explicitly states that we aren't actually talking about the sum in the sense of addition. It's more like, we assign a value to this series and prove that the operation is valid. But that's not exciting, is it?

I wouldn't be studying pure mathematics if the principles of logic were so easily defied without consequence. The heretics may preach what they wish, at that point, what they dabble in is no longer backed by logic, therefore not mathematics.
 
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  • #1,665
The trouble with computers is they enable us to transfer our human stubbornness, pettiness and chicanery to what ought to be be well behaved predictable and obedient machines.
 
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  • #1,666
jim hardy said:
The trouble with computers is they enable us to transfer our human stubbornness, pettiness and chicanery to what ought to be be well behaved predictable and obedient machines.

That is actually a very well crafted and quoteworthy statement.
 
  • #1,667
17191150_1273574449395661_3676919121022839867_n.jpg
 
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  • #1,668
a02a73655ff42e9bb5f457866631ff87.jpg
 
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  • #1,669
Science in ancient Egypt: hierophysics.
 
  • #1,670
Have no fear, Summer is here: Longest sunny day I can remember. It is 5:15 and the sun looks as in a standard sunny day at around 1 p.m. Yet it snowed two days ago. Kind of confusing.
 
  • #1,671
WWGD said:
Have no fear, ...
Easily said. Since I've heard Iggy in a commercial, I mean Iggy, ... I've lost all my trust in this world.
 
  • #1,672
fresh_42 said:
Easily said. Since I've heard Iggy in a commercial, I mean Iggy, ... I've lost all my trust in this world.

Iggy? German TV?
 
  • #1,673
Yep. Not himself, just his song.
... half naked old men don't sell well even here ...
 
  • #1,674
The new year just started in Iran. We entered 1396!
I hope tensions start to decrease all over the world.
 
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  • #1,675
ShayanJ said:
We entered 1396
does not compute
 
  • #1,676
WWGD said:
Have no fear, Summer is here: Longest sunny day I can remember. It is 5:15 and the sun looks as in a standard sunny day at around 1 p.m. Yet it snowed two days ago. Kind of confusing.

Dreading the arrival of summer here in FL. "Winter" has been beautiful. Even spring has been kind of mild with a few days in the upper 80s.
 
  • #1,677
pluto-photo.png


Mom says, I'm still a planet!

12491Pluto_Pluesch_006b.jpg
 
  • #1,678
I watched a video of a small house being printed by a large 3-D printer. Instead of plastic it was "printing" in cement. That pushed me over into now believing that 3-D printing is the future of everything.
 
  • #1,679
Dang, I just recognized, that I know what a choke is.
 
  • #1,680
fresh_42 said:
Dang, I just recognized, that I know what a choke is.
How about an anti-choke , or at least an arti-choke ( which is different from an artsy choke and an artsy bloke )?
 

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