Dr Kevin Houston
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DrKevinHouston
commented
1 month ago
Perfect Shuffle
This is a demo version so comments are welcome.
@Jamindekker Some people can spot that it's half the deck. I can do that sometimes. However, the point is that the deck is in order to begin with and when you do a perfect shuffle all the cards end up in a pre-determined place. So the first time you do 8 shuffles in a row you carefully find the h...
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DrKevinHouston
commented
4 months ago
Why 1/0 is not infinity
Why can't we divide by zero? The answer is here! I also talk about why 1/0 is not infinity.
@GuythePikey By drawing the line of the graph tending to +/- infinity.
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DrKevinHouston
commented
6 months ago
Why 1/0 is not infinity
Why can't we divide by zero? The answer is here! I also talk about why 1/0 is not infinity.
@Scp1966 Thanks for the comment. I don't really say that 1/0 is not infinity because of a simple math rule. I say that you can't divide by zero and that if you define 1/0 to be anything - even infinity - then we get problems.
I want to overcome students saying that 1/0 is obviously infinity. Tha...
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DrKevinHouston
commented
7 months ago
Why 1/0 is not infinity
Why can't we divide by zero? The answer is here! I also talk about why 1/0 is not infinity.
@CaballusKnight I had a genuine interest in trying to understand what you meant. If you do not wish to be understood, then that is your choice and I am 100% comfortable with that.
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DrKevinHouston
commented
7 months ago
Why 1/0 is not infinity
Why can't we divide by zero? The answer is here! I also talk about why 1/0 is not infinity.
@kurtwshrout Thanks for the comment. I don't think it's flawed. When we do algebra we want to know what a times b divided by a means. This gets tricky when a=0. By saying that we need special notation for dealing with 1/0 I feel that you are agreeing with me.
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DrKevinHouston
commented
7 months ago
Why 1/0 is not infinity
Why can't we divide by zero? The answer is here! I also talk about why 1/0 is not infinity.
@CaballusKnight Sorry, I still don't understand what the m signifies. Please define or give a page reference in a standard text.
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DrKevinHouston
commented
7 months ago
Why 1/0 is not infinity
Why can't we divide by zero? The answer is here! I also talk about why 1/0 is not infinity.
@CaballusKnight Sorry I genuinely can't work out what "0m" and "1/0m=inf" mean. Since you claim the latter is any book of math can you give me a standard text and page number. Thanks!
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DrKevinHouston
commented
5 months ago
Pi is wrong! Here comes Tau Day
Tired of all those 2 times pi in your mathematical formula? Then switch to tau!
Tau Day is on Tuesday June 28th!
@SpinachInquisition You've probably moved on - I should have replied sooner. Can you tell me where in the video there are awkward pauses? I really want to know the answer, I'm not being defensive. Thanks!
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DrKevinHouston
commented
5 months ago
Pi is wrong! Here comes Tau Day
Tired of all those 2 times pi in your mathematical formula? Then switch to tau!
Tau Day is on Tuesday June 28th!
@matleyz It's not often that Thomas Paine is quoted on YouTube so thanks for the comment!
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DrKevinHouston
commented
5 months ago
Pi is wrong! Here comes Tau Day
Tired of all those 2 times pi in your mathematical formula? Then switch to tau!
Tau Day is on Tuesday June 28th!
@JIJICA100 It makes almost no sense to use imperial. Your example shows that tradition is very hard to overturn.
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DrKevinHouston
commented
5 months ago
Pi is wrong! Here comes Tau Day
Tired of all those 2 times pi in your mathematical formula? Then switch to tau!
Tau Day is on Tuesday June 28th!
@JIJICA100 How much sense does this make? Not much. There seems to be a fragmentary sentence beginning with "When". Can you be a bit clearer? Thanks!
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DrKevinHouston
commented
6 months ago
Pi is wrong! Here comes Tau Day
Tired of all those 2 times pi in your mathematical formula? Then switch to tau!
Tau Day is on Tuesday June 28th!
@DUDELOVE5551SBRO Are you calling me intelligent and knowledgeable? How dare you!
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DrKevinHouston
commented
6 months ago
Pi is wrong! Here comes Tau Day
Tired of all those 2 times pi in your mathematical formula? Then switch to tau!
Tau Day is on Tuesday June 28th!
@TheoryXI Using eta does make some formulae look nicer but does it really bring deeper understanding? I can't see how the fundamental number to associate to a circle is the one defined using a quarter of a circle. He's joking anyway...
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DrKevinHouston
commented
7 months ago
Pi is wrong! Here comes Tau Day
Tired of all those 2 times pi in your mathematical formula? Then switch to tau!
Tau Day is on Tuesday June 28th!
@nestorlovesguitar Well, the study chapters are quite short already - I could have written a whole book on how to study. The point is that many students don't realize that they should write maths so that someone else can understand it and some don't know that they should read maths with a pen and...
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DrKevinHouston
commented
7 months ago
Pi is wrong! Here comes Tau Day
Tired of all those 2 times pi in your mathematical formula? Then switch to tau!
Tau Day is on Tuesday June 28th!
@nestorlovesguitar Thank you very much. It's good to hear that physicists also enjoy it.
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DrKevinHouston
commented
7 months ago
Pi may be wrong, but so is Tau!
A response to the recent talk about scrapping Pi as the fundamental circle constant and replacing it with Tau. I think BOTH are wrong and we should...
This is just obviously nonsense. How can you possibly say that Euler's formula is better with eta? And have you thought of the expense of changing all the textbooks? U r crzay dude! Thumbs down evrywun.
Kevin Houston
PS I'm joking.
PPS Can't wait for Michael John Blake's take on this.
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DrKevinHouston
commented
7 months ago
@seiferganon Similar problem to the previous argument, I think. You are now looking only at the _vertices_ in the folded figure and not _all points_ in the figure. Suppose we had a circle inside a circle and the outer one converges to the inner. At the beginning we have two special points on the ...
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DrKevinHouston
commented
7 months ago
@delameu Thanks for the comment. What does it mean to have infinitely small steps?
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DrKevinHouston
commented
7 months ago
@vibrattler Can you prove rigorously that the limit curve is a fractal?
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Common Mistakes: Square Roots
A look at the precise definition of the square root function and problems arising from misuse of square roots.
794 views
DrKevinHouston said:
@mascoteponto I would say that there is no unique square root and so we can't talk about THE square root of a number. The point is that when we move to complex numbers then we have to introduce multi-valued functions or make branch cuts in the complex plane to define roots and logs. By first bein...
Common Mistakes: Square Roots
A look at the precise definition of the square root function and problems arising from misuse of square roots.
794 views
DrKevinHouston said:
@mascoteponto Thanks for the comment. I'm not sure what you mean by shattered when we get to complex numbers. One of my reasons for doing the real case carefully is that students often don't fully understand the subtleties of the complex case. The video helps lay the groundwork for dealing with t...
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