Introduction to complex numbers
2:25
Euler spiral
3:40
Жыл бұрын
Ramanujan and Hardy
4:57
Жыл бұрын
Continued fractions
5:41
Жыл бұрын
The Monty Hall problem
3:42
Жыл бұрын
Strange theorems in topology
6:44
The hypocycloid and its relatives
3:12
The helix and the helicoid
3:45
Жыл бұрын
Cassini ovals
3:21
Жыл бұрын
Perfect numbers
3:43
Жыл бұрын
Polyhedrons
6:10
Жыл бұрын
The logarithmic spiral
3:20
Жыл бұрын
The Goldbach conjecture
2:54
Жыл бұрын
Langton's Ant
3:45
Жыл бұрын
The Icosian Game
2:56
Жыл бұрын
The remarkable Reuleaux triangle
3:20
The Banach-Tarski paradox
3:26
Жыл бұрын
The tragic tale of polynomials
7:33
The golden ratio
4:27
Жыл бұрын
The cannonball problem
3:27
Жыл бұрын
Mathematics in literature, Part 3
9:48
Mathematics in literature, Part 2
9:52
Mathematics in literature, Part 1
13:39
Пікірлер
@robertocortesi4236
@robertocortesi4236 15 сағат бұрын
Thank you ! you took a bug out of my mind since at school they explained logarithms but it wasn't clear where the calculation of the mantissa came from!! it seemed like a secret, you took the values ​​from the log tables and that was it!
@robertocortesi4236
@robertocortesi4236 15 сағат бұрын
Grazie ! mi avete tolto un tarlo dalla mente da quando a scuola spiegavano i logaritmi ma non si capiva dove veniva fuori il calcolo della mantissa !! sembrava un segreto , si prendevano i valori dalle tavole log e basta !
@dennisthegreek5336
@dennisthegreek5336 6 күн бұрын
Natural numbers are these used to describe or explain natural objects. To count things/items/animals we meet in nature. For example, "the cat gave birth to 4 kittens", or "9 apples fell off the apple tree". That's why only positive integers are natural (not the negative integers, nor the decimals etc). Zero is never used to count natural items, ie you can't naturally use zero to count (?!?) and say that "there are 0 oranges on the table". And why say 0 oranges and not 0 apples? Since you never use 0 to count natural objects, it can't be considered a natural number.
@giulialosi4805
@giulialosi4805 10 күн бұрын
I am about to turn 48 this year and today on the subway I heard a 4yo ask his mother Explain me, why 5×0=0, and I realise I have no clue whatsoever about it. I stare at him appreciatively, he was even an immigrants' son and he was speaking our language, not his mother language. Excellent video, plain, simple, without paraphernalia of any sort, just the answer I need, thank you.
@graemeyetts3465
@graemeyetts3465 10 күн бұрын
One of the very many extraordinary things about these Polymaths and geniuses was their short lifespans! So this man and others packed in an enormous amount of passion and effort in no time. ❤
@muhammada5178
@muhammada5178 11 күн бұрын
Thank you as a tiler wanted to expand his knowledge in geometric work I’ve come accross your video and also managed to find a decent translation in pdf of harmonices Mundi with what seems to be all the sketches too! Ancient knowledge which is vital
@TGC-
@TGC- 11 күн бұрын
Soooooo long windedddd
@user-cu9ww9tj4i
@user-cu9ww9tj4i 12 күн бұрын
누구나 올챙이시절이 있다.
@ujawaladimbleujawaladimble5825
@ujawaladimbleujawaladimble5825 12 күн бұрын
F
@TymexComputing
@TymexComputing 13 күн бұрын
7:07 - the 1915 & Hardy looks a little out of context here :)
@TymexComputing
@TymexComputing 13 күн бұрын
Havent heard about Polya and Mertens conjectures - Mertens wasnt defined here but i found that it is based on Mertens function which uses Móbius function :) and it was stated by some guy called Stjeltes (Dutch) who wrote a letter to Hermitte :) - everybody knows Hermitian transformation or polynomials :) or a Hermitian array in quantum physics.
@TymexComputing
@TymexComputing 13 күн бұрын
very good video of old facts :) but the quality is very good - i am watching at 360p and it looks two times better than that - in reference to other content watched at 360p
@TymexComputing
@TymexComputing 13 күн бұрын
Very interesting paradox, discus is more like a wing than as a cannon ball. Nice channel, came here watching for some goldbach conj. observations but stayed longer :) - pity only 2,6K views, only 70 likes , as much as 9 dislikes and 2 comments. Good audio good content - will be coming back :). BTW - There is communism in Canada, US, Europe... not sure if there still is communism in china... but they're going to cut off the dependencies with europe and US.
@frankconley7630
@frankconley7630 13 күн бұрын
Dude. You say he's turning right, but he's turning left. Not helpful.
@shameronstar7220
@shameronstar7220 16 күн бұрын
Tien's signature attack from Dragon Ball Z being called Tri-Beam in the English Dub when it makes a square now makes sense.
@v-chris156
@v-chris156 17 күн бұрын
Algebra says that all variables have coefficients. ie 1x The contents of a parentheses are a variable. It's a function that has to be completed before the next step. It's not possible to have something in parentheses without a multiplication by a coefficient happening immediately after. That's what algebra specifically states about variables. It doesn't matter what the expression, you can replace the entire thing with a variable 1(x) which has the simplest tree possible: * / \ 1 X Whatever the tree was before, it was replaced with this, and now X is a separate tree. So every parentheses creates a NEW function. A multiplication happening immediately after a parentheses is UNAVOIDABLE. Even the most basic tree has an operator and 2 arguments. The result of a function X isn't an operator, it's an argument. So there has to be at least a multiplication by 1 to make the simplest tree that can replace the original tree without changing the answer.
@tahamuhammad5962
@tahamuhammad5962 18 күн бұрын
Unsolved Math Victories of the Cenozoic Era, which is also known as the "age of mammals" by Taha M. Muhammad/ USA Kurd Iraq kzbin.info/www/bejne/g2a4pnuifdWmbqc Fermat’s Last Theorem /Approved by Cambridge University UK, By Taha M. Muhammad/ USA Kurd Iraq kzbin.info/www/bejne/n5y2q2Zsh6meibs Collatz Sequence/ Approved by Cambridge University UK By Taha M. Muhammad/ USA Kurd Iraq kzbin.info/www/bejne/pomYhJyebcmmqtU /Euler Perfect Box/ Approved by Cambridge University UK By Taha M. Muhammad/ USA Kurd Iraq
@jackbotman
@jackbotman 18 күн бұрын
Yup, this is why so few people like math
@killergksainigamer
@killergksainigamer 20 күн бұрын
😂😂😂 angrej teacher
@JasonMitchellofcompsci
@JasonMitchellofcompsci 21 күн бұрын
Take something like make that requires concentration and throw in cheesy music. Probably not the best way you could have presented this.
@niltondasilva1645
@niltondasilva1645 27 күн бұрын
👏👏👏👏👏👏👏👏
@masturaxon623
@masturaxon623 27 күн бұрын
Raxmat katta ( thank you so much)
@SampleroftheMultiverse
@SampleroftheMultiverse 29 күн бұрын
6:52
@bigwill-ux3pz
@bigwill-ux3pz 29 күн бұрын
You proved 0x0 isa lie thanks 👍🏼 a x o bullshit 😂😂 u smoking some good weed professor youtube
@boonga585
@boonga585 Ай бұрын
1:33
@user-uc7hp4bc6g
@user-uc7hp4bc6g Ай бұрын
Meanwhile, you're the only one I've seen that comes close to the right answer, but your answer ends up being wrong too.
@generalurko7486
@generalurko7486 Ай бұрын
Salut les kids de maths expertes ! Suprême Leader Suprême.
@chrishelbling3879
@chrishelbling3879 Ай бұрын
What I'm hearing is, 1 is algebraic, and 0.999... is transendental. Therefore, 0.999... ≠ 1.
@RayanAshunter
@RayanAshunter Ай бұрын
Why tf someone puts a dramatic bgm on a math problem? Are we solving a question or going on adventure , was such difficult for me to focus on the question .
@Successunder100
@Successunder100 Ай бұрын
Yo I am about to crack IIT JEE ADVANCE 2027
@markt1964
@markt1964 Ай бұрын
No perfect cuboid can exist: github.com/gh-markt/public/blob/main/PerfectIntegerBox.pdf
@jonathanlister5644
@jonathanlister5644 Ай бұрын
Beauty.
@user-fd3sh2gp3u
@user-fd3sh2gp3u Ай бұрын
I was really impressed by the detailed explanation. Thank you very much.
@andrereschke7888
@andrereschke7888 Ай бұрын
What about applying the product rule and switch positions. There is no rule for a division but it would make the 16 more viable.
@cx4vr1dh4j
@cx4vr1dh4j Ай бұрын
Nice❤🎉🎉
@Flakzor123
@Flakzor123 Ай бұрын
Straight headwind is actually not the most optimal direction, ideally the wind should also come in a bit from the side of the athletes dominant hand. This way the normal 5-10 degree right tilt of the discus which some consider optimal allows the discus to anglematch the apparant wind as it climbs resulting in minimal loss of velocity. As the discus starts to fall the airflow over the tail end starts to detach thus losing lift at the tail end. Gyroscopic precession comes into play now that the center of lift has shifted forward and the discus starts tilting left (another reason why starting it with a right tilt is beneficial). The more the discus tilts left the harder the wind will move it sideways relative to the original direction of travel while slowing down its fall somewhat, in addition to this the tilt angle in a strong crosswind will also shift forward a bit since the discus will tilt on the axis of the apparant wind.
@heidimeyermath8087
@heidimeyermath8087 Ай бұрын
How had I not come across your channel before? This is AWESOME! I am now a subscriber and looking forward to going through your extensive collection. Thank you for your work.
@thangarajthangaraj7772
@thangarajthangaraj7772 Ай бұрын
Like man🎉🎉🎉
@mahe0181
@mahe0181 Ай бұрын
🎉🎉❤❤
@priyankareddy2467
@priyankareddy2467 Ай бұрын
😂ok i will stop it
@DOTvCROSS
@DOTvCROSS 2 ай бұрын
First problem could be used on day 1 of "Erdos-someoneelse" spork-in-the-road theory. Paul and I were talking about the slide @1:53. He even went as far as to demonstrate to me all published work (2024) on this problem. If asked for my input: "Paul, you seem like one person drawing a single point with a single pencil" Akin to (P,dOf,pencil) =P+dOf^(p/frame). Spice it up a little, 2 people or 2 pencils or 1 person 2 pencil 3 dOF, ......(time passes as I explain every permutation of his problem).....
@darcash1738
@darcash1738 2 ай бұрын
Why does adding one after multiplying all of them ensure that none of them will divide into this new number
@jacobzetterfeldt3652
@jacobzetterfeldt3652 2 ай бұрын
nice proof (: Thanks
@shivworshiper
@shivworshiper 2 ай бұрын
It should be practical example.
@DumAndSmart
@DumAndSmart 2 ай бұрын
I’m working on the third problem I figured out what the last two digits are for each number when you’ve squared it with just a calculator well I haven’t figured them out but figured three possibilities sides 64,36 diagonal 61,89 Sides 44,56 diagonal 81,69 Sides 04,96 diagonal 21,29 Both one side and the spatial diagonal must end in 25 and one of the diagonals( the 44,56/04,96 diagonal) must end in two zeros
@user-og7rs2sq8u
@user-og7rs2sq8u 2 ай бұрын
He is currently my son teacher in Heaven. Fyi
@Killerwhale317
@Killerwhale317 2 ай бұрын
Instead of rap battles they had math battles? 😮 Amazing.
@Stargate322
@Stargate322 2 ай бұрын
Minimum one additional Infinity exist Minimum i think more and more a Maximum of Infinitys
@ShrinkingvioIet
@ShrinkingvioIet 2 ай бұрын
Americans making smaller things hectic
@TheMathManProfundities
@TheMathManProfundities 2 ай бұрын
I really like your analysis of this method. I agree that there is not actually anything new here, just a simpler way of remembering the process. Basically this is just a substitution into the quadratic equations which simplifies it at the potential expense of making the calculations more difficult as the denominator remains within the square root.I understand Prof. Loh is quite strongly associated with the Olympiad community and finding easier solutions to special examples of problems fits well within this remit. It could also be said that as most exam answers are designed to be quite simple to facilitate easy marking, this may be good method to use for such cases. However, I'm not sure about you saying there is nothing new to learn about quadratics. I have developed a method to solve these which I have not seen anywhere else. It applies a difference of squares approach to the original quadratic and has no need for x² to be on its own. The prominent theme of this method is to keep the numbers as simple as possible for as long as possible without having to remember a formula. I would be grateful if you could have a look at this method and let me know if you agree with me. I've placed a video explaining it at kzbin.info/www/bejne/f57GZYmfnqlkrrssi=_lX7K3ju1LjifuOQ Please let me know what you think, thanks.