I wasn't familiar with Pearce and his work. I just skimmed his Wikipedia page. Eliminating all pain and suffering seems like a worthwhile goal.
I recently pondered whether consciousness could ever evolve with pain. Are there possibly conscious beings somewhere in the universe who evolved without going through some stage where pain was part of their nervous systems. How that would effect the development of a social species and things such as empathy.
Push away from the dinner table.
Have you tried doing push-aways?
The truth is...
If the Earth was the size of a grape, the atmosphere would be about the thickness of a human hair.
If the atmosphere was the thickness of a human hair, then
we'd all quickly suffocate.
#Earth #space #air #breath
#aircraft #fruit
#TruthBeTold = A statement that is logically or literally true (or partly true), but seems to imply something that isn’t true or is just plain weird. (for rhetoric, logic or propaganda studies… or just for fun)
@freemo @ligthert
@trinsec @pulpfor
@mxtthxw@mastodon.online
Klingon:
(pic from https://www.flickr.com/photos/datarknz/3442646145, Creative Commons CC BY-NC-SA 2.0)
My Answer (spoilers)
I looked up summation on wikipedia and there was a link in one of the footnotes to the article "Triangular number". That article has a lot of the stuff I came up with while trying to discover the answer on my own. It talks about differences and also tetrahedrons! Very cool.
The answer is in the section: https://en.wikipedia.org/wiki/Triangular_number#Relations_to_other_figurate_numbers
Two summation symbols next to each other is kind of what I expected, except I would have ignorantly put the second sigma within parentheses, or shown it as two separate equations. That solution itself has a shortcut version of notation using something called binominal coefficient notation. Way above my head.
I didn't think there would be a solution without using summation notation, but the article provides one:
(n(n+1)(n+2))/6
The product of the three numbers in (and beyond) the series; n, n+1, n+2; represent three dimensions of a rectangle, while the number 6 is the number of tetrahedrons that fit together to form that rectangle, which you can visualize with their peaks meeting in the middle of the rectangle.
So the tet method of solving this would have panned out after all. I just needed to intuit multiple tets in a rectangle, which I actually saw while looking up the tet volume equation, but just didn't put the two together.
Isn't learning fun...
Use binoculars, you'll see more details.
Good job!
Yeah, 90's is definitely worrisome.
I just checked mine -- it's 55. I'm kind of out of shape right now, but when I'm in shape, it can get below 50 in the mornings, but I've been a vegetarian/vegan most of my very long life.
You can also make blue tea with red cabbage leafs.
A superheterodyne receiver for primordial gravitational waves.
Cool.
(Note: The article said that the researchers were "generating" primordial gravitational waves, which of course is not possible unless they also have discovered a mechanism for bidirectional temporal manipulation, which would be a much bigger story. :)
I haven't posted any videos to video.qoto.org in a while because some of my videos don't play.
e.g.:
https://video.qoto.org/videos/watch/245e53dd-c63e-482f-9d0c-b47f4de88b56
and
https://video.qoto.org/videos/watch/67d450ee-1c57-4791-b0c7-82d64f707ec5
however, this one plays:
https://video.qoto.org/videos/watch/ea338baa-1852-4ac7-a1b5-2231217f8e53
I don't understand.
My Answer (spoilers)
The tetrahedron approach didn't pan out, I think because the series are discrete integers whereas the tet equations are (some) derived from calculus and trig.
I've generalized the sum function equation as (F+L)(N/I), where;
F=first number in sequence
L=last number in sequence
N=# of numbers in the sequence
I=the interval between numbers
I did this so I can solve it by looking at the differences between the daily sums; and then the differences between those differences - like this:
1 - 1 , 78 , 79
2 - 3 , 66 , 69
3 - 6 , 55 , 61
4 - 10 , 45 , 55
5 - 15 , 36 , 51
6 - 21 , 28 , 49
7 - 28 , 21 , 49
8 - 36 , 15 , 51
9 - 45 , 10 , 55
10 - 55 , 6 , 61
11 - 66 , 3 , 69
12 - 78 , 1 , 79
364, 364
Trying to apply the method to "sum the sums". Notice that adding the first + last, 2nd + 2nd last, etc. yields a symmetric pattern. The differences between them are 2, 4, 6, 8 ... which is a regular sequence that can be totaled using the generalized summing equation.
So a shortcut formula could count that sequence working from the "middle" day and I think the rest could be derived from that to get the final result.
I think it's just grunt work now to put it all into an equation and algebra the shit out of it, in order to get the final shortcut equation.
Of course you could just use the summation symbol in an equation or the sum function in mathlab or julia, but the goal is to get something that only uses +,-,*,/ and maybe ^, without loops.
My Answer (spoilers)
My unconscious brain keeps interrupting my day with ideas on this...
When I first started working on this I wrote out the sequence graphically, like below. Your hint about triangles reminded me of those graphic notations I made, which lead me to this:
If you put those triangles on top of each other you get a tetrahedron, so the solution should be the formula for the volume of a tetrahedron. I tried the formula for a regular tet. -- d^3/(6*sqr(2)) -- and it didn't work. (d = # of days)
The volume for any tet is: Ah/3
(where A is the area of the base triangle and h is the height)
Well, that doesn't seem to work either. But I think the solution is in this line of reasoning somewhere. I think figuring out what the value of h would be for any given number days is the key to solving this.
Do you already know what the general formula is?
(by the way, this has some applications in certain quantum theories)
>"We always recommended to open a plain ascii editor, paste it there and see if there is no other code there. It is an old and sane advise"
The best advise is to not use a desktop terminal at all, only use the gettys started by init.
The clipboard has often been a source of data leaks, going back to beginning of GUIs.
I looked up this specific exploit, and it's called "pastejacking". It was first discovered about six years ago by Dylan Ayrey and apparently recently rediscovered independently by Gabriel Friedlander.
In essence, the clipboard is a user-level IPC, and those are always attractive security targets.
GUI = graphical user interface
IPC = interprocess communication
man getty
man init
Hot take
People aren't "bred", they come about through natural selection. For example, if someone doesn't adopt the protective measures against COVID-19 and they get sick and die, then they can no longer pass on that trait to their offspring. So the behavioral phenotype for tending toward acting in one's own self interest is more likely to predominate.
That's a 3.6% move. Not extraordinary, especially if it's a high-beta stock.
It's not a split.
If you can't find any news that would account for the move, it may be related to taxes. Buyers who are thinking about getting into the stock may purchase right before the end of the year so that they get a tax advantage.
The very sudden jump is probably due to the exchange opening and brokers settling orders they got during the time when the market was closed. (I'm not sure what timezone is shown or which exchange it trades in.)
I'm just a geek.
Pronouns: She/Him/Her/His
(Use "she" for the subjective case, "him" for the objective case, "her" for the active possessive case, and "his" for the passive possessive case. Note: This is to avoid non-PC objectification and passivity.)
US, Eastern timezone
Privacy is important.
All of my opinions are someone else's.
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If I favorite your toot, it doesn't mean that I feel your toot is my favorite toot. It means that I'm letting you know that I saw your toot, probably read it, and maybe even liked it (but not necessarily).
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I have another account at:
https://mastodon.social/@PatPat/with_replies
And an additional backup account at:
https://mastodon.online/@Pat/with_replies
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(People who use the word "woke" in a derogatory manner are assumed to be pro-racist.)
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