Today I Learned #4: Somewhere, something incredible is waiting to be known.
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Found this with google:Am I crazy or does Justinian I of the Byzantium have a duck on his right shoulder?
I've looked around, but nobody seems to ever talk about it.
Justinian I - Wikipedia
en.wikipedia.org
Here is another one @3:54
I get it though.
The duck is the only animal that operates with total superiority on land, air, and water.
The woven emblem on the right isn't the one Justinian has in the mosaics/other, but shows that such decorative images of birds were common.
545-549 CE – Imperial Mosaics of the Basilica of San Vitale | Fashion History Timeline
fashionhistory.fitnyc.edu
Gori the Grey
The Poster
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Memory of how he met Theodora? (And so a swan, rather than a duck)
Gori the Grey
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That's for you to Google.
r16
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going around tumblr collecting pictures and so on . Was challenged or whatever to read Howard (who created Conan) provided only the name to Red Sonja while it was some other heroine by a different author that forms the basis of the comics character . The same tumblr source a while later also "found" a letter to Howard as it turns out the different author was a woman who was a colleague and close friend of Howard , saying she was greatly impressed by a story Howard wrote about a swordswoman . Which means ı should be looking out for a story where the Hyrkanian arrives in some hostile city wearing gold and silver tiles over what Medieval Ottoman sources used to refer as blue iron . And not a metal clad bikini to distract . Picture choice ? What , scantily clad women here ? Tumblr can be interestin' ...
Need a break from thinking about the potential insights resulting from the value of the natural logarithm as the enabler of getting infinitely many derivatives? (talking to myself). Then TYL about a very serene equality in the equilateral triangle ^^
Which is actually quite useful, and not just due to its simplicity. For example, you can use the "any points inside the triangle" to stand for other things, such as "any distance from a (twice) mirrored line" ^^
Which is actually quite useful, and not just due to its simplicity. For example, you can use the "any points inside the triangle" to stand for other things, such as "any distance from a (twice) mirrored line" ^^
Til: No need to wonder again if your starting position is inside or outside a (no exit) labyrinth.
If a line linking it to any outside point, has an even number of cuts to the curve, you are not trapped inside.
Also cool that the intermediate value theorem takes full effect: you can't just count going through a "single point" corner inside the labyrinth as a "1 cut"; it always is 2 (if you are near a corner, you are passing its curve twice)
If a line linking it to any outside point, has an even number of cuts to the curve, you are not trapped inside.
Also cool that the intermediate value theorem takes full effect: you can't just count going through a "single point" corner inside the labyrinth as a "1 cut"; it always is 2 (if you are near a corner, you are passing its curve twice)
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BenitoChavez
What business is it of yours?
TIL that the bird called the Bar Tailed Godwit is capable of traveling from Alaska to Tasmania non-stop.
Wikipedia Link
Wikipedia Link
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I was reminded of this today:
Published 7:09 PM EST, Sat December 17, 2022
CNN —
It was one of the heaviest bombardments in history. A shock-and-awe campaign of overwhelming air power aimed at bombing into submission a determined opponent that, despite being vastly outgunned, had withstood everything the world’s most formidable war machine could throw at it.
www.cnn.com
‘Like walking on missiles’: US airman recalls the horror of the Vietnam ‘Christmas bombings’ 50 years on
By Brad Lendon, CNNPublished 7:09 PM EST, Sat December 17, 2022
CNN —
It was one of the heaviest bombardments in history. A shock-and-awe campaign of overwhelming air power aimed at bombing into submission a determined opponent that, despite being vastly outgunned, had withstood everything the world’s most formidable war machine could throw at it.
'Like walking on missiles': US airman recalls the horror of the Vietnam 'Christmas bombings' 50 years on | CNN
It was one of the heaviest bombardments in history. A shock-and-awe campaign of overwhelming air power aimed at bombing into submission a determined opponent that, despite being vastly outgunned, had withstood everything the world's most formidable war machine could throw at it.
www.cnn.com
‘We bombed the North Vietnamese into accepting our concessions’
is a succint summation of all of Kissinger's foreign policy ‘brilliancy’.
A new Til ^^
Computers (including calculators) don't do it that way, of course, but if you want to you can always calculate the (eg) square root of something by using an approximation based on derivatives.
For example, if you wished to find the square root of 17, with a few decimals, you can start with the square root of 16 (4) and use the function for square root (f(x)=sqrx), then take its derivative (it's 1/2 1/sqrx) which for the nearest number to 17, 16, would amount to 1/8. This means the inclination from 16 to 17 is roughly +1 y for every 8 x, so for 1 x it would roughly be 1/8 => sqr17 is apprοximately 4.125 (closer to 4.123 in reality, but a good approximation).
I am sure there are ways to finesse the approximation, eg through taking the average inclination between 16 and something a little over 17 (but not between 16 and 18, that will still be off by around 0.02, just to the other side).
@Samson : what (for computers) algorithm is used for the square roots? I suppose something tied to the root division (which isn't really for humans, but it's just perfect for machines
)
Computers (including calculators) don't do it that way, of course, but if you want to you can always calculate the (eg) square root of something by using an approximation based on derivatives.
For example, if you wished to find the square root of 17, with a few decimals, you can start with the square root of 16 (4) and use the function for square root (f(x)=sqrx), then take its derivative (it's 1/2 1/sqrx) which for the nearest number to 17, 16, would amount to 1/8. This means the inclination from 16 to 17 is roughly +1 y for every 8 x, so for 1 x it would roughly be 1/8 => sqr17 is apprοximately 4.125 (closer to 4.123 in reality, but a good approximation).
I am sure there are ways to finesse the approximation, eg through taking the average inclination between 16 and something a little over 17 (but not between 16 and 18, that will still be off by around 0.02, just to the other side).
@Samson : what (for computers) algorithm is used for the square roots? I suppose something tied to the root division (which isn't really for humans, but it's just perfect for machines
)
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I do not actually know, but there is a famous approximation for inverse square root (A new Til ^^
Computers (including calculators) don't do it that way, of course, but if you want to you can always calculate the (eg) square root of something by using an approximation based on derivatives.
For example, if you wished to find the square root of 17, with a few decimals, you can start with the square root of 16 (4) and use the function for square root (f(x)=sqrx), then take its derivative (it's 1/2 1/sqrx) which for the nearest number to 17, 16, would amount to 1/8. This means the inclination from 16 to 17 is roughly +1 y for every 8 x, so for 1 x it would roughly be 1/8 => sqr17 is appriximately 4.125 (closer to 4.123 in reality, but a good approximation).
I am sure there are ways to finesse the approximation, eg through taking the average inclination between 16 and something a little over 17 (but not between 16 and 18, that will still be off by around 0.02, just to the other side).
@Samson : what (for computers) algorithm is used for the square roots? I suppose something tied to the root division (which isn't really for humans, but it's just perfect for machines
C:
float InvSqrt(float x){
float xhalf = 0.5f * x;
int i = *(int*)&x; // store floating-point bits in integer
i = 0x5f3759df - (i >> 1); // initial guess for Newton's method
x = *(float*)&i; // convert new bits into float
x = x*(1.5f - xhalf*x*x); // One round of Newton's method
return x;
}Future housing
www.cnn.com
'Houses That Can Save the World': These homes offer a blueprint for a greener future
Authors Sean Topham and Courtenay Smith conducted a worldwide search for innovative homes. The results combine cutting-edge technologies with ancient techniques being revived in the 21st Century.
www.cnn.com
aimeeandbeatles
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Today I learned that Germany has a "Federal Ministry of Transport and Digital Infrastructure," which seems like two odd things to combine together. Also, they may provide funding for video games.
Right of way issues!
Where are the ones designed for mobility-disabled people? I don't see any.Future housing
'Houses That Can Save the World': These homes offer a blueprint for a greener future
Authors Sean Topham and Courtenay Smith conducted a worldwide search for innovative homes. The results combine cutting-edge technologies with ancient techniques being revived in the 21st Century.
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