![singingbanana](/img/default-banner.jpg)
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- Просмотров 25 913 814
singingbanana
Великобритания
Добавлен 26 мар 2006
Mathematician, juggler and comedy nerd - but not necessarily in that order.
Please keep sending your messages. I do read them all, even if I don't always have time to reply :(
- Jim
Please keep sending your messages. I do read them all, even if I don't always have time to reply :(
- Jim
Follow-up: Birthday Magic Square
This is my follow-up video to my birthday magic squares video
ruclips.net/video/hNn0j4Kay8g/видео.html
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Yeah, I know the audio is messed up. It's not the mic, it's because I recorded via OBS, and that messed up the audio. Sometimes it's difficult to get all the tech working. I tried.
If the audio is really hurting your ears, I process the audio a bit and made an unlisted version of this video with different audio ruclips.net/video/ah4WplJqaDA/видео.html
At 2:20 I point at a group of four and say it adds to 43. That was a mistake.
At 27:40 I said April but typed in 03. Whoops.
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Here is my excel spreadsheet for creating birthday magic squares
singingbanana.com/birthdaymagicsquarescreator.xlsx
H...
ruclips.net/video/hNn0j4Kay8g/видео.html
---
Yeah, I know the audio is messed up. It's not the mic, it's because I recorded via OBS, and that messed up the audio. Sometimes it's difficult to get all the tech working. I tried.
If the audio is really hurting your ears, I process the audio a bit and made an unlisted version of this video with different audio ruclips.net/video/ah4WplJqaDA/видео.html
At 2:20 I point at a group of four and say it adds to 43. That was a mistake.
At 27:40 I said April but typed in 03. Whoops.
---
Here is my excel spreadsheet for creating birthday magic squares
singingbanana.com/birthdaymagicsquarescreator.xlsx
H...
Просмотров: 13 072
Видео
How to make a Birthday Magic Square
Просмотров 31 тыс.Год назад
A birthday magic square is a special type of magic square that uses someone's birth date in the top row. Then every row, column, and main diagonal add up to the special birthday number - and a whole lot of other magic properties as well! Notes: Some people have realised it isn't always possible to make a birthday magic square that avoid negative values or repeats. In fact, if your total is less...
Follow-up: Barbie electronic typewriter
Просмотров 13 тыс.Год назад
Here is a copy of the description from the Barbie video: I first found this story on the crypto museum website, which has great information about the Barbie typewriter (and other cipher machines) www.cryptomuseum.com/crypto/mehano/barbie/ Thanks to Sarah Everett from Just My Typewriter, check out her channel here: ruclips.net/user/JustMyTypewriter And Sarah's own Barbie video here: ruclips.net/...
The Barbie electronic typewriter - with Just My Typewriter
Просмотров 23 тыс.2 года назад
I first found this story on the crypto museum website, which has great information about the Barbie typewriter (and other cipher machines) www.cryptomuseum.com/crypto/mehano/barbie/ Thanks to Sarah Everett from Just My Typewriter, check out her channel here: ruclips.net/user/JustMyTypewriter And Sarah's own Barbie video here: ruclips.net/video/axgzXdN-3lo/видео.html UPDATE 15th May 2023: I sent...
Follow-Up: Finite Difference Method
Просмотров 20 тыс.2 года назад
Original Video here: ruclips.net/video/scQ51q_1nhw/видео.html Videos mentioned: James Tanton ruclips.net/video/_5vU48kf7NY/видео.html Mathologer ruclips.net/video/4AuV93LOPcE/видео.html More on Gilbreath's conjecture here: primes.utm.edu/glossary/page.php?sort=GilbreathsConjecture Here is finite differences on wikipedia en.wikipedia.org/wiki/Finite_difference#Newton's_series I didn't mention: M...
The Finite Difference Method
Просмотров 95 тыс.2 года назад
Find a polynomial with the finite difference method. Take successive differences of a sequence to find the polynomial that made it. Let me try to anticipate some questions: 1. What if we have a sequence that doesn't start at x = 0? There's a general form of Newton's Forward Difference Formula for a sequence that starts at x = a, with 1 unit steps. Here it is on wikipedia en.wikipedia.org/wiki/F...
Follow-up: British Flag Theorem
Просмотров 21 тыс.2 года назад
UPDATE: I've had a think about those integer solutions rectangles. Here is one way to construct the rectangle. Take two pythagorean triples: (u, v, w) and (x, y, z); Then we can make four pythagorean triples that fit together, namely (ux, vx, wx), (vx, vy, vz), (uy, vy, wy), (uy, ux, uz). It turns out that's how I made my example, with (u, v, w) = (12, 35, 37) and (x, y, z) = (3, 4, 5). I don't...
The British Flag Theorem
Просмотров 64 тыс.2 года назад
The British Flag Theorem connects any point to the corners of a rectangle to calculate distances. It turns out I don't know how to salute. The Royal Navy salute that way if that makes you feel better. I would appreciate it if you kept the comments light. Reading lots of hot takes isn't much fun for me. UPDATE: Follow-up video here: ruclips.net/video/OaTnZXaFTBc/видео.html Some good questions, a...
Mastermind with Steve Mould
Просмотров 110 тыс.2 года назад
Thanks Steve! ruclips.net/user/SteveMould Play online: codebreaker.eoin.co/ Thanks Eoin. Word Mastermind: stressfle.nikolaus.uk/ Thanks Alex. I recommend these apps for Android: Mastermind (but called Bulls and Cows) play.google.com/store/apps/details?id=org.xbasoft.master_mind&pcampaignid=web_share Bulls and Cows play.google.com/store/apps/details?id=com.vist.bullscows&pcampaignid=web_share Le...
Introducing MathsCity Leeds
Просмотров 20 тыс.2 года назад
Introducing MathsCity Leeds, the UK's first hands-on maths discovery centre. Step inside a giant bubble, explore our laser ring of fire, and solve our hands-on puzzle challenges. MathsCity Leeds can be found in the Trinity shopping centre, on the first floor, between Boots and Customer Services. Find out more and book tickets online at www.mathscity.co.uk
A MegaFavNumbers Thank You!
Просмотров 25 тыс.3 года назад
See the full #MegaFavNumbers playlist here ruclips.net/p/PLar4u0v66vIodqt3KSZPsYyuULD5meoAo
MegaFavNumbers - The Even Amicable Numbers Conjecture
Просмотров 130 тыс.3 года назад
This video is part of the MegaFavNumbers project. Maths RUclipsrs have come together to make videos about their favourite numbers bigger than one million, which we are calling #MegaFavNumbers. We want *you*, the viewers, to join in! Make your own video about your favourite mega-number. You can think of a cool big number, or think of a cool topic first and hang a mega-number on it. Upload your v...
I'm making videos on MathsWorldUK and this is me telling you about it
Просмотров 23 тыс.4 года назад
See the videos at ruclips.net/user/MathsWorldUK At the moment, we've made 12 and they will be released over the next few weeks. Here's more about MathsWorldUK mathsworlduk.com/
Bayes Billiards with Tom Crawford
Просмотров 61 тыс.4 года назад
Bayes' Theorem allows us to assign a probability to an unknown fact. Thomas Bayes himself described an experiment with a billiard table, which is brilliantly explained by Hannah Fry and Matt Parker here ruclips.net/video/7GgLSnQ48os/видео.html Brian Cox and David Spiegelhalter did a 1-dimensional version similar to our experiment here ruclips.net/video/-e8wOcaascM/видео.html After we filmed thi...
Help us make a maths discovery centre in the UK
Просмотров 39 тыс.5 лет назад
I'm talking to Dr Katie Chicot CEO of Maths World UK ( mathsworlduk.com/ ) - an organisation dedicated to creating a maths discovery centre in the UK. Although maths discovery centres exist in other countries we have nothing like it in the UK, that is what Maths World UK want to change. We ask for your ideas for what you would like to see in a maths discovery centre and show off a few puzzles a...
A Pythagorean Theorem for Pentagons + Einstein's Proof
Просмотров 124 тыс.5 лет назад
A Pythagorean Theorem for Pentagons Einstein's Proof
Fermat's Last Theorem for rational and irrational exponents
Просмотров 59 тыс.5 лет назад
Fermat's Last Theorem for rational and irrational exponents
The Elo Rating System for Chess and Beyond
Просмотров 1,4 млн5 лет назад
The Elo Rating System for Chess and Beyond
The Infinite Game of Chess (with Outray Chess)
Просмотров 126 тыс.5 лет назад
The Infinite Game of Chess (with Outray Chess)
Alan Turing's lost radio broadcast rerecorded
Просмотров 106 тыс.6 лет назад
Alan Turing's lost radio broadcast rerecorded
Cambridge has a new mathsy train station
Просмотров 153 тыс.7 лет назад
Cambridge has a new mathsy train station
A visit from Rafael Procopio (Matemática Rio)
Просмотров 28 тыс.7 лет назад
A visit from Rafael Procopio (Matemática Rio)
The International Maths Salute with Dr James Tanton
Просмотров 44 тыс.7 лет назад
The International Maths Salute with Dr James Tanton
And now this 1960s math is the best way to determine which AIs are better than others. Thank you for the formulas explanation, James, it's perfect as always. I was very glad to find out you have the video on this topic
When something cracks it usually has a random direction pattern. And the universe should have cracked that way. Usually random direction of Big Bang. And why because if you put things together and keep on building then when something crash it takes time in different directions. Though symmetry is a localised pattern of numbers. Pi is about symmetry rather than random. Whenever you need symmetry which is supposed to be more stable you have to use Pi. Even if you take distant galaxies the spectrum of them gives the symmetry elements of the galaxy. Almost 90% are hidden space of the random. Light can come only from electrons transitions of nucleus disstable. That too relative.
This is what a labrador on amphetamine and statistics looks like.
6:1 like to dislike ratio? What for?
You can just write 'don't move' as all 12 instructions or have I missed the point?
What a mess! Is there a theory that any unificaation of more than one filed of science must increase in complexity? This is the most in-depth and coherent explanation of the Riemann hypothesis I have seen for lay people. I am not sure if you have "for dummies" books in England, but someone needs to do a "Riemann hypothesis for dummies" book. Maybe you can do it James! Hopefully your terminology in England is the same as or similar to that in the US.
This is one of those cases where we say the emperor is naked 😂😂😂😂
It is fascinating to be at the frontier of what is discussed in this interview, and the insight he had regarding how to consider our current computational reality.
Can this be applied to pandas colors? Why do they have black ears, black around their eyes, black arms and legs, and the rest of them white? How do they form in that way.
Ending was so good Loved it ❤️
It's just graph theory isn't it ? I counted the number of lines (and not sides) of each boxes and saw 2 boxes have 4 and 3 have 5. Since there can only be 2 boxes with an odd number of lines, this is impossible. (Because we have to enter and exit once every box but the one we begin with and the one we end with, all the boxes but 2 should have an even numbers of sides).
Why is 400 in the first formula?
When you are using a negative you are using a reflective dimensional shift.
Dang, the first short ever made
I don’t get it. I know you have to memorise the 7th card in order for the final result to be 33. But don’t the cards have to add to 19. Because then 26 - 19 = The 7th Card 🤷♂️
Nevermind, I lost 2 cards, that’s why it didn’t work 😂
Wow - this is the oldest Video on YT i have ever seen - all thanks to Riemann and Collatz, and they say that its not worth going through collatz issues :)
The most disgusting thing are the "inspirational videos" on RUclips with demon puppets using this old missing square puzzle as if it's some sort of magic trick.
But really , what did the two walls say to each other?
Hey prof , appearently i have a solution to zeno's last step paradox , how can i send it to you?
0
There are those who admit, and those who lie...
Amazing! Thank you for the entertainment and education and something for me to teach somebody in the future.
Aug 17th. I dont get how Albert eliminates May and June by Bernard not knowing.
Wow I am so impressive because I looked for a video which explain this sequences sequel and I will pass the baccalaureate from France. Yes we have in fact an specific exam in speaking of one on our speciality like mathematics or science. Thanks bro
Great!
0:45 I like the answer just fine as long as we're clear that he's redefining what the standard mathematic symbols mean. "=" no longer means "equals" when a series does not converge. Also, it's just one of many possible redefinitions of '='. However, these videos that don't point it out try to make you think it's some sort of crazy unintuitive thing. it's not, it's just totally different. Reusing the = sign was a poor decision.
What's this number called?
its pretty funny watching him...
Have you tried curta
i've been trying to find a nice slide rule. they just aren't made or sold anymore. other than on ebay, which i'll never buy or sell anything on ever again after having been burned by a bootlegger and having ebay take their side.
how did he get 9
i tried this and got 10 heads in a row after 2 minutes im tripping tf out
is Mastermind Cover Photo Fan Fiction a thing?
I love that they figured out how the machine works without seeing it , that's pure genius grade stuff.
Thank you so much! You're going to save my exam! I have a presentation about the Benford Law and you did an amazing job
"Cool people!" This guy knows!
The proof at the end seems incomplete, as one would have to prove that the areas of the triangles are proportional to a^2, b^2 and c^2. Its not difficult to do this, but the most intuitive way to do it would be using the Pythagorean theorem which is circular, so it would make sense to show a way to prove this without Pythagoras. One way to see it intuitively would be to scale any of the triangles down until the hypotenuse is length 1. rotate the triangle until the hypotenuse is horizontal, then scale the triangle horizontally and vertically by a factor x, obviously the area of the triangle has been scaled by a factor of x^2 and since the hypotenuse was horizontal it was scaled by a factor of just x. The big X in the final equation would be the area of the triangle scaled down to hypotenuse length 1. On an abstract note, looking at the final picture we know that A, B, and C are all similar triangles. So if we scale triangle A by some scalar x such that the new area can be morphed into a square with side length a, by similarity applying that same scale factor to triangles B and C would allow us to morph those new areas into squares with side lengths b and c. Since A+B=C it must be true that Ax+Bx=Cx => a^2+b^2=c^2.
Wow, interesting paradox, and just another example of how statistics can be quite misleading!
I think there is a world market for maybe five slide rules.
Stole that from Thomas Watson, president of IBM, 1943 re: computers.
W30 is the B/W reversal of W135 shown here, so that could be an "almost valid" description!
I personally would right-pad the sequence with the first k-1 digits to actually *see* every combination!
Are all these numbers whose sum of factors, not the # itself, which do not converge always have as factors, single digit primes and a prime of form 6n+5?
What's a "maths" puzzle?
The Reimann hypothosys iswhàt
@gothamchess Colab?
(1/3)*3=0.3333...*3=0.9999.... but (1/3)*3=(1/3)/(1/3)=0.3333...../0.3333....=1 Why?
Thee first is true by the reasoning given in the video. The second is true because (1/x)*x = y/y = 1 for all non-zero x and y.
0.9999.... = x 9.999.... = 10x 10x - x = 9x = 8.999...1 x=0.9999... Example if n=4 0.9999 = x 9.9990 = 10x 10x - x = 9x = 8.9991 x=0.9999 . 10x=9.9999..... 0 the last decimal is zero
You: " 10x - x = 9x = 8.999...1" Nope. 10x - x = 8.999... = 9 You: "10x=9.9999..... 0 the last decimal is zero" The word is "digit", not "decimal". Infinite decimals do not have a last digit. 10x = 9.999..., not 9.999...0. Besides, if I ignore that, surely 9.999...0 / 10 = 0.999...90 and not the 0.999... that you started with.
There are several possibilities and could be multiple moving parts. First we must ask why the results of day 1 are so different than day 2. There might be a hidden factor such as a different dose on different days; timing of the medicine administration and results; or different patient profiles. If all are equal then we have radical scatter of data, and deep uncertainty. The amount of data scatter appears to be far greater than the differences of drug A and B effect; therefore no attempted conclusion would be meaningful. If we choose to weigh each data point equally (the standard assumption), then drug A cure rate would rightly be 67% average for both days. But if we decide to weigh day 1 and day 2 percentages equally, then drug A cure rate would be 55% for both days. We are well within reason to choose either method in this situation; but we’d need to show error bars which would be something in the range of +- 20% to 40%.
I came up with this trick on my own as a young child while in day care in the early 90s
You can check the list of amicable numbers using the given programming code as shown below: #include <stdio.h> int sigma(int n,int i,int a, int b,int sum) { sum=0; for(i=1;i<=n;i++) { a=n/i; b=n%i; if(b==0) { sum+=a; } } return sum; } int main() { int n_1,n_2,i,j,a_1,a_2,b_1,b_2,sum_1,sum_2,total=0; printf("Here is the list of amicable numbers: "); for(n_1=1;n_1<=10000;n_1++) { for(n_2=1;n_2<=10000;n_2++) { if(sigma(n_1,i,a_1,b_1,sum_1)-n_1==n_2 && sigma(n_2,j,a_2,b_2,sum_2)-n_2==n_1 && n_1<n_2) { total++; printf("(%d) %d, %d ",total,n_1,n_2); } } } return 0; }
Pi is equal to 3.142696805... square root 2 times 2.2222222... if you have circle with radius equal to square root 2x4.5 the circumference is 40 exactly. The area is equal to the square root of 16,200