Amazing. Thank you for your work! I love it.

Hi james! I was in one of your lectures at ABWA in India in January... Just wondering, you had given us a very interesting speech about why the value of Pi is not actually what it seems to be and is ever changing. Would love to see a video of that soon since it was really interesting to know about it!

How long is this going to take?🙄

Lmaoo. Not going to lie chat; this man right here got swag!

As beautiful as combining a Busy Beaver with the Brian's Brain cellular automaton, yet as eloquent as counting in base i-1 or 2i. ❤

You with your humor and way of explaining have made how to fold a fitted easy to see how it’s done and why sometimes I succeed and sometimes not. Thank you. By the way it’s only taken me 73 years lol. Glad I found your video. I think your video and instructions I will remember

By far the best vid for folding fitted sheets

When you are bracing for a T-rex attack instead he pinches your cheeks with his small hands and then you are like WTF!

The number of triangles is twice the number of grid points if you have an infinite grid. To every grid belongs an area of one, therefore each triangle has an area of 1/2. To each grid points belong two triangles because the triangles don't have any grid points inside or on their borders.

Just subscribe and finished skimming the viedo. Actually feel with you in my corner I might be able to tackle A level maths 👍👍👍 You are a dyscalculia Genie. Thank you 👍 👍 9th

❤Just want to say thank you for showing the beauty of math. Was really inspired and grew quite fond of math from your teachings. Thank you.

Educated people talk too much! Just do it!!

Very good , I mean excellent lecture! Thank you professor.

Dear Jim, When I learned about negative numbers from a geometric point, I thought of the negative rectangles, as take aways from the original big rectangle. However, there was an overlap region which was the product of negative numbers which equaled the overlap region. If the area was positive it we compensate for the region being taken away twice. Your doing the problems two different ways plus the one I just described is what gives us confidence in what seems to be absurd in mathematics. Still another way of showing two negatives make a positive is to used patterns like: -2x2=-4 -2x=0 -2x-1=2 -2x1=-2 -2x-2=4. By the way you have one an assumption in your algebraic proof which is assumed rather than proved. Regards, Irvin

Wow!! Thank you so much for this enlightening series on quadratics.

Brilliant mate! Just frickin Brilliant!! 🎉Finally a game to explain what kids struggle with the most! Thanks 🙏 A 1000, 000

You lost me… I hope to understand by the end of the video; but how did you come up with the equality “UV - 1 = UV + U^2?”

James, firstly, thank you so much for all of your videos! Secondly, as someone with a Bachelor’s in Pure Mathematics (who hasn’t utilized the degree in his career), I feel like I finally, TRULY understand why we have to go from 2D to 4D for the maths to work! Bless Hamilton for figuring out that “<i, j, k>” business!

Gimmie some more😂

I’m motivated to go redo all my fitted sheets. Wish me luck.

Absolutely amazing❤

Omg I kept trying and skipping and your first statement gave me hope. By far the best example and best visual with the U

Failure again. I still feel stupid. But at least this time it was a mathematician that made me feel stupid - not quite so humiliating.

The best demonstration I've seen thus far. Thank you! Edit: but still struggling🤔

I knew it would take a genius to figure that out. 😂

Why do you have to multiply both sides with the same number and what is the name for this

Yeah but multiiplying is instant adding is not you cant add it all at once like you are multiplying all sets at once so it takes 0 seconds to multiply.

Love your videos. You are an amazing educator.

Wow I’ve been looking for this information for over a year. I’ve watched dozens of logarithm videos and I’ve never actually seen someone explain what it was and the insight that they are powers is so straightforward. Genius. Thank you so much.

Hi James, that was so much fun to watch and finally, I, like everybody else here, now know how to fold a fitted sheet.! Wish you had been my maths teacher when I was at school, I might have actually learnt something. Thanks again Love from Australia.

Thank you!

❤

🎉you made this so much fun to learn how to fold a fitted sheet , thank you For making this video, it felt good when I just did my sheet 😊

Explained better than my math degree!

Awesome explanation!

Is it just me or did Answer 5 make the most sense than Answers 1 - 4?!

Please show 475/25. I'm not getting my dots expressed right

Finally, someone explained it step by step! Wish I'd have had you as my math teacher, you're so enthusiastic! Thanks!

Thanks man!

Your presentation definitely helps the student to understand multiplication in more depth. Your examples and the showing how negative numbers, fractions, and complex numbers may have been discovered is also important to the students. However, on zero I disagree with your approach. Here you just drew assumptions out of thin air. For example, you stated that a+0=a without showing that 0 preceded one on the number line. For 3x0=0 you assumed that zero was nothing rather than using the statement that a+0=a to illustrate that concept. You also show that 3*-4 =-(3x4) without proving that when you add negative numbers that you add them as positive numbers and make the result negative.. Here are some false conclusions that are drawn. 2^0=0, 0!=0 because of the statement that 0 is nothing and that 1 is nothing because 1x5=5. I have been using your presentation, that of Tabitha Williams and Hannah Fry to illustrate for my students how to challenge what they are taught. I could you use your help to show the fallacies in my approach.

Multiplying by 5 is like finding half of the number and multiplying by 10. E.G. 5 x 6 = half of 6 times 10, 3 x 10 = 30. This is always true. 5 x 7 = 3.5 x 10 = 35. Yes, this is not easily seem by some, but it is interesting. 5 x 210 = 105 x 10 = 1050.

That was a complicated nightmare! All the fast talking was no help.

Not all partial latin squares can be completed to latin squares of the same order. Consider a latin square of order n (an array of nxn squares), now fill the the squares (1, 1), ... , (1,n-1) with the elements 1, ... , n-1. Now fill the the cell (2, n) with element n. This is a valid partial latin square since each element appears at most once in each row and column, however it cannot be competed to a latin square of order n since the only element missing in row 1 is n which would need to be in the position (1, n), but element n already exists in column n in row 2. Thus it is sufficient to say we can not always complete a partial latin square of order n if it contains at least n elements. The example you use in your video is called a latin rectangle r x n which is a type of partial latin square and can always be completed to a latin square of order n using Hall's condition and induction. The move from any partial latin square of order n to a latin rectangle r x n requires we add an extra stipulation which is, there must be no more than n-1 filled cells to guarantee we can complete an arbitrary partial latin square meeting that condition. I hope this information was helpful :)

This isn't what I needed, but I watched the whole thing because I loved your energy. Made me excited about math.

James Munsey sent me.

How can I visualise this without having to resort to accepting that rotation matrices form a group. Thanks for this. I will probably need to study it to convince myself but it's a valiant effort to do something I only ever seen stated in textbooks and never properly shown (apart from the group justification). No wonder I always wondered about it . It's far from trivial.

I think all the other videos are just people showing off. No attempt to actually explain what they’re doing. They all start with those first two corners and explain that (the easy part) thoroughly. Then they just zing the sheet around for 30 seconds and it’s magically done. Thanks for actually explaining it. It was still hard (finding the other two corners is difficult without wrecking what you’ve already done) but at least I kinda could figure out where I was going. I figured out that twin sheets don’t fold in thirds.

Beautiful

this is awesome!

Simply brilliant.