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Mathologer
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Hearted Youtube comments on Mathologer (@Mathologer) channel.
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I think it has been agreed beforehand, because no magician chooses a random assistant
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A y=ln(x/m-sa)/r^2 to everyone!
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Actually india was way way ahead in science and math in the era of Gupta empire and maurya empire in compare to rest of the world , nalanda was first multinational university of the world . But most of that was destroyed by foreign invaders from middle east and central asia .
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you were right, that animated proof at the end was absolutely worth the wait! and thank you SO MUCH for explaining natlogs. I took trig in high school and in college and never understood where e came from or what a natlog was :/ this made sense! thank you!
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🪖
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It has been nearly a decade since I sat in a maths classroom and it wasn't until I began to watch your videos that I realized how much I miss it.
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I guess that you have a background in graphic design aswell as maths
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Glad you enjoyed this explanation :)
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In 1976, I was an sophomore engineering student in college. My calculator broke and I couldn't afford a new one. I got through that year with a slide rule and a book of log tables. I still have the slide rule in it's original leather case.
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13:35 : Nicole Oresme took the overhang problem too seriously and tried it with himself 😊😊
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If I had learned math this way in school, I think I would less suck at it today. Still I am learning things here.
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Now all I need is a googol dollars :)
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Here we've only looked at number walls with a finite number of rows. Are there ones with an infinite number of rows? What strange sequences would produce them?
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That was interesting. It's too bad I was having an allergy attack (at least, I hope it was). I'll try again when I'm not so congested.
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Great animation, very good explanation
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I watch and rewatch all your videos almost nightly, before going to bed, they’re all so beautiful. The music at the end of this one made me emotional enough to post today. Thank you for the wonderful work you do.
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All monkeys in the world are looking forward to showing us how easy Calculus actually is.
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Keep up the good work!!!
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For n is the number of color blocks, show 4^n always has 'a' top-left, 'b' top-right, 'c' bottom-left, and 'd' bottom-right. Color block, 4x4: [a b a b] [c d c d] [a b a b] [d c d c] Where n=1 for 4n x 4n blocks = 16n^2 = 16 blocks. Corners of color block, 2x2: [a b] [d c] Tiling this color block in a configuration of x-rows by y-columns will result in the same corners. This works too if x=4n and y=4n. Checking any 2w x 2w of the configuration will show 4 unique colors in the corners. Where w=1, is our normal 2 x 2 checker for 4 unique colors in the corners.
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This would actually have been a relevant question for Zimbabweans in 2008-9.
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I love that card trick! The one drawback is that it needs an assistant, but aside from that, I think it definitely is the best mathematical card trick I've seen.
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This is one of two reasons Futurama is the greatest animated show of all time. The other is it‘s portrayal of the future...
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2:44 I think that was meant to be "except for a scaling factor"
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Wow, great. Thank you. Surprisingly, simple mathematical reasoning remains - "always true". Is this a law or a craft? Thanks again.
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I had a Post Versalog (10") linear slide rule in junior high school that my Dad gave me. I didn't see a circular slide rule until my senior year in high school when we bulk ordered some for our Physics class. It was a cheap little plastic thing but I had fun with it. It had a vinyl slipcase with "FZIX IS PHUN" stamped on it.
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Visual mathematics is the easiest way to learn mathematics.
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Some YT'ers are just old-school/long-written proofs aficionados and some are just not very good at showing, visually, these complex problems (or they don't have the imagination to do so). The former are probably too conceited and are mostly showing off and the latter are patronizing us because they believe we cannot handle seemingly difficult equations. Your Mathologer videos are a perfect hybrid of both camps without the conceit or the patronizing. Your videos are very beautiful and thought-provoking while at the same time making complex concepts easy to understand (especially for visual learners as myself). Many times, I feel like I'm in over my head at the beginning of your videos only to have that "AHA" moment towards the end when you bring it all together with your impressive animations. I cannot help but think that some of these past great mathematicians agonized over how to write down the images and animations they were seeing swirling around in their minds-eye in exactly the same way you have shown us time and time again. Also, you always give credit to these past geniuses much more often than other channels and so we also learn some history along the way. Thank you for all yo do and please keep it going!!
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I've only watched 45 seconds of this video, so far. And I have to say... "Wow!" A circle... Wow. Greetings from Dallas, Texas!
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I used to have a lovely 5" (linear) slide rule with very finely engraved scales, but misplaced it somewhere along the way. I still have my 10" slide rule that I bought from WH Smith's over 40 years ago. It hasn't seen much action recently, though!
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It was row 7, now row 10. We are making progress
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Noice
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"Without a computer" underrated words x
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I love the beautiful sequence of adding elements starting at @6:40
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the length of this one is perfect, and i love the geometric proofs. the logical proofs get so boring! and its always helpful to confirm what you know by coming from a different starting place and taking a different path
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You didn't mention the most exciting part of Lee Sallow's squares: in 21:46 we can have disjoined line segments. Magic squares using numbers thus account for no more than a small fraction of all 1-D geomagic squares!!!
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Great content to have breakfast with :). Would be great to see the prime numbers number wall :0
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1st
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After reading your suggested references, I remain confused as to Madhava's original work. Were these actual proofs (as per the better known Western contributors), or were these more insightful observations and approximations? The parallel would be how Babylonians and Egyptians both had versions of Pythagorean triangles and relationships, but it was the Greeks who provided the proofs. Is that the situation here?
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The best shoe lacing can be also defined by: Quickest to loosen, Quickest to tighten, impervious to spontaneous loosening. Having regard to friction, a lacing that tensions segments in place without dragging the laces through the eyelets would be best.
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my OCD expected ❤️👸
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One should remember that a multiplication always is repeated additions, and a power always is repeated multiplications. Of course there must be a way to replace the one with the other, that's called an algorithm. Mathematics: Fine, now write that down as a proof ...
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Sir please tell me through which software you record your lectures?
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But what about the imaginary green Power Ranger? 🤨
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The best channel posted!
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Just hobby mathematician, but clearly understood everything. Dark magic! Really loved this one
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All this ending 1s really tickle my Collatz conjecture obsession
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I claim the entirety of the video.
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I swear, I thought he said Goth Shoes instead of God's Shoes for the 100 eyelet example.
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Michael Penn had a great video a week ago about alternating harmonic series and a proof that any pattern of positive numbers m and negative numbers n can be expressed as ln(2)+ 1/2 ln(m/n)
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@Mathologer why do you stay up so early edit: tomorrow is a sunday so you will probably not go to work
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