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This is fun! but not so surprising to me:

987,654,321 + 123,456,789 = 1,111,111,110

1,111,111,110 + 123,456,789 = 1,234,567,899 \approx 1,234,567,890

So 987,654,321 + 2 x 123,456,789 \approx 10 x 123,456,789

Thus 987,654,321 / 123,456,789 \approx 8.

If you squint you can see how it would work similarly in other bases. Add the 123... equivalent once to get the base-independent series of 1's, add a second time to get the base-independent 123...0.


There is Smartsheet, which mostly works well for this, but its power-user features are pretty limited compared to Excel.


Are you sure? I recall that the dish was spherical, not parabolic, and had a movable receiver mounted on cables; moving the receiver adjusts the direction from which signals can be received. Indeed, Wikipedia claims that it was steerable [0].

[0] https://en.wikipedia.org/wiki/Arecibo_Observatory


You're kinda both right; the dish itself was fixed, but the system as a whole still had limited steerability because it was (spherical?) instead of parabolic, allowing 20° of the zenith.

This was still a lot more limited than the horizon-to-horizon of the other iconic radio telescope type: https://commons.wikimedia.org/wiki/File:CSIRO_ScienceImage_8...


The competition for giant Arecibo-like telescopes is arrays, and since their cross section goes to zero as you turn them towards the horizon (straight up and they're spaced out, from the horizon they're in a line), they are limited within some reasonable range of the zenith as well.


No defects needed for flux penetration in a type-II superconductor. When the conference length is smaller than the penetration depth (up to a factor of sqrt(2)), flux vortices can nucleate as soon as the surface magnetic field gets above the lower critical field Bc1.


Sorry, that should say “coherence length”.


Yes, black holes are theorized to evaporate due to Hawking radiation [0].

[0] https://en.wikipedia.org/wiki/Hawking_radiation


There is a nice calculator for terminal velocity of a sphere in air here:

http://hyperphysics.phy-astr.gsu.edu/hbase/airfri2.html

That being said, I'm not sure how relevant terminal velocity is for anything but the smallest/slowest ends of the parameters of this app. For an asteroid going 38,000 mph (default speed on linked page), drag just doesn't play a big part - the asteroid passes through the atmosphere in ~5 seconds, not enough time for it to slow down significantly.


This sounds like a kind of historical GeoGuessr.


I think OP means “disconnected past” as the spacelike-separated region south of the “now” slice. Boosting could transform points in this region into the spacelike-like separated region in the “future” (i.e. the “disconnected future), no? The points are not transforming across the light cone boundary, just across the arbitrary “now” plane.


Yes, this is what I meant. By "disconnected" I meant causally disconnected, i.e. spacelike separated. Sorry for not making that clearer!

And yes, you can always boost to a frame such that the "order" of spacelike separated events will change (i.e., reverse which event is above and which is below a line of simultaneity). Since you can't objectively say which event happened first, they must be unable to influence each other, hence "causally disconnected".


Regarding the turn signals - do you use a right-hand-drive car? Is the turn signal stalk on the right side? OP's description is consistent with my left-hand-drive experience, with the stalk on the left.


It is on at least one Japanese car. It was a JDM model that had been imported to Turks and Caicos. A Suzuki, IIRC. The Volvo I rented in the UK had the stalk on the left.

But in either case, if you just imagine which way you would flick the stalk if you extended your fingers while making a turn, you'll flick it the correct way.



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