- Видео 73
- Просмотров 349 497
KindiakMath
Сингапур
Добавлен 3 янв 2023
Math Lecturer. Math Nerd.
Master Polytechnic Math with this One Video
All about differential equations, Laplace transforms, and Fourier series.
Просмотров: 231
Видео
Ten Equations that Should be WRONG...But Are RIGHT
Просмотров 1,5 тыс.3 месяца назад
For further nerding: Euler's identity: en.wikipedia.org/wiki/Euler's_identity Recurring decimal: en.wikipedia.org/wiki/Repeating_decimal Continued fraction: en.wikipedia.org/wiki/Continued_fraction Quadratic formula: en.wikipedia.org/wiki/Quadratic_formula Nested radicals: en.wikipedia.org/wiki/Nested_radical Complex logarithm: en.wikipedia.org/wiki/Complex_logarithm Complex exponentials: en.wi...
This Equation Can Save Your Friendships.
Просмотров 683 месяца назад
Closeness = Access x Mutual Space for Vulnerability Music by Vincent Rubinetti Download the music on Bandcamp: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: open.spotify.com/playlist/3zNK20qC96mVSww60lVi1k DAILY VERSES OF ENCOURAGEMENT: t.me/daily_verses_of_encouragement
Math Lecturer vs. Animation vs. Geometry
Просмотров 14 тыс.3 месяца назад
I had to do this video quickly; and the animations went a little too quick, but...enjoy! Source: ruclips.net/video/VEJWE6cpqw0/видео.htmlsi=zk1T8s2kphpnVoEP DAILY VERSES OF ENCOURAGEMENT: t.me/daily_verses_of_encouragement
What is a Linear Transformation, Really?
Просмотров 1365 месяцев назад
Music by Vincent Rubinetti Download the music on Bandcamp: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: open.spotify.com/playlist/3zNK20qC96mVSww60lVi1k DAILY VERSES OF ENCOURAGEMENT: t.me/daily_verses_of_encouragement
What is the Square Root of -1, Actually?
Просмотров 1007 месяцев назад
Music by Vincent Rubinetti Download the music on Bandcamp: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: open.spotify.com/playlist/3zNK20qC96mVSww60lVi1k DAILY VERSES OF ENCOURAGEMENT: t.me/daily_verses_of_encouragement
The Untold Secret of Nepal's Flag
Просмотров 2,6 тыс.7 месяцев назад
Instructions: www.crwflags.com/fotw/flags/np-law.html Music by Vincent Rubinetti Download the music on Bandcamp: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: open.spotify.com/playlist/3zNK20qC96mVSww60lVi1k DAILY VERSES OF ENCOURAGEMENT: t.me/daily_verses_of_encouragement
The Ridiculous Answer to this Question
Просмотров 2,6 тыс.7 месяцев назад
PDF: joelkindiak.files.wordpress.com/2024/02/complex-graphs.pdf Music by Vincent Rubinetti Download the music on Bandcamp: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: open.spotify.com/playlist/3zNK20qC96mVSww60lVi1k DAILY VERSES OF ENCOURAGEMENT: t.me/daily_verses_of_encouragement
Strange Question with Stranger Answer
Просмотров 757 месяцев назад
PDF: joelkindiak.files.wordpress.com/2024/02/prob-even.pdf Music by Vincent Rubinetti Download the music on Bandcamp: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: open.spotify.com/playlist/3zNK20qC96mVSww60lVi1k DAILY VERSES OF ENCOURAGEMENT: t.me/daily_verses_of_encouragement
20 Equations for Every Person Ever
Просмотров 448 месяцев назад
Music by Nintendo. DAILY VERSES OF ENCOURAGEMENT: t.me/daily_verses_of_encouragement
The Most Neglected Matrix in Math
Просмотров 1458 месяцев назад
PDF: joelkindiak.files.wordpress.com/2024/02/rotation-matrices.pdf Music by Vincent Rubinetti Download the music on Bandcamp: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: open.spotify.com/playlist/3zNK20qC96mVSww60lVi1k DAILY VERSES OF ENCOURAGEMENT: t.me/daily_verses_of_encouragement
They NEVER Taught You This in School
Просмотров 1648 месяцев назад
PDF: joelkindiak.files.wordpress.com/2024/02/measurements.pdf Music by Vincent Rubinetti Download the music on Bandcamp: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: open.spotify.com/playlist/3zNK20qC96mVSww60lVi1k DAILY VERSES OF ENCOURAGEMENT: t.me/daily_verses_of_encouragement
20 Functions to Ace High School Math
Просмотров 2,4 тыс.8 месяцев назад
CORRECTION AT 9:11: Technically it should be f'(x) = kf(x). The equation in the video works if and only if k = 1. Supplementary material: joelkindiak.files.wordpress.com/2023/12/high-school-functions.pdf Manim code: github.com/joel-ql-chang/high-school-functions Music by Vincent Rubinetti Download the music on Bandcamp: vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music...
What is the Sum of Infinitely Many Angles?
Просмотров 3,7 тыс.9 месяцев назад
What is the Sum of Infinitely Many Angles?
The Ultimate Hack for Quadratic Functions
Просмотров 1859 месяцев назад
The Ultimate Hack for Quadratic Functions
10 Warnings for EVERY Calc Student
Просмотров 1,3 тыс.10 месяцев назад
10 Warnings for EVERY Calc Student
Can You Multiply Four-Dimensional Numbers?
Просмотров 26110 месяцев назад
Can You Multiply Four-Dimensional Numbers?
The Secret Recipe to Multiply Matrices
Просмотров 2,5 тыс.10 месяцев назад
The Secret Recipe to Multiply Matrices
Can We Predict When We'll Hit 1 000 000 YouTube Subscribers?
Просмотров 20010 месяцев назад
Can We Predict When We'll Hit 1 000 000 RUclips Subscribers?
Simple Geometry Stumps Almost Everyone
Просмотров 146 тыс.11 месяцев назад
Simple Geometry Stumps Almost Everyone
The Personality Test that Everyone Gets Wrong
Просмотров 2,5 тыс.11 месяцев назад
The Personality Test that Everyone Gets Wrong
The Most Underrated Theorem in Calculus
Просмотров 35 тыс.11 месяцев назад
The Most Underrated Theorem in Calculus
How Many Gifts Do You Get in 12 000 Days of Christmas?
Просмотров 12611 месяцев назад
How Many Gifts Do You Get in 12 000 Days of Christmas?
Three Crucial Limits from One Powerful Theorem
Просмотров 1,3 тыс.Год назад
Three Crucial Limits from One Powerful Theorem
This Simple Problem Made Me Self-Study Pure Math
Просмотров 254Год назад
This Simple Problem Made Me Self-Study Pure Math
The answer is one right angle.
this is fantastic! watched many vids and this is the first time I have fully understood the types. very well executed, great teaching, thank you!
These cursed math videos caused me the damage equivalent to 7 norovirus epidemics
what does «bad joy» mean?
I don't know what's more cursed: the (often wrong) maths, or the music.
Is a Trigonometric Proof Possible for the Theorem of Pythagoras? Michael de Villiers RUMEUS, University of Stellenbosch CONCLUDING COMMENTS To get back to the original question of whether a trigonometric proof for the theorem of Pythagoras is possible, the answer is unfortunately twofold: yes and no. 1) Yes, if we restrict the domain to positive acute angles, any valid similarity proof can be translated into a corresponding trigonometric one, or alternatively, we could use an approach like that of Zimba (2009) or Luzia (2015). 2) No, if we strictly adhere to the unit circle definitions of the trigonometric ratios as analytic functions, since that would lead to a circularity.
hello, for B1a) why isit (D-2) instead of just subbing in -2?
because we are taking inverse-D of (exponential * something)
Hello Joel, how did you get π/4 - 1/2 for B4b?
sup! let S represent the series we are interested in; then 1 = 2/π + (4/π) * S 1 - 2/π = (4/π) * S (1 - 2/π) / (4/π) = S (1 - 2/π) * (π/4) = S π/4 - 1/2 = S
@@kindiakmath thank you so much now i understand liao
you should've added 2⁰ + 2¹ + 2² + 2³ + ... = -1
Coming soon :)))
Bro doesn't know the definition of an equation. None of those are equations, they are identities. An equation is a mathematical statement with some variables, which holds for a finite number of values of those variables.
Haha I used equation to refer to the “equals” sign
Very elegant!🎉 My teacher didn't show interest when I told him I had a similar proof in 2022.😢 It's been almost 1 year now. I'm out of high school now.
damn that sucks man...
alternatively, ln(-1) = ipi
Or 69ipi too
1+1-1+-1..... Diverges.
Emphasis on the *Cesaro sum* which is defined by the consecutive averages rather than consecutive sums. It allows for defining otherwise divergent sums to be convergent under what I believe is called Cesaro convergence.
Also, it’s a limit of series 1-n+n^2-n^3+… where n is slightly less than 1. The latter converges on 1/(1+n), and so the former’s value is 1/(1+1)=1/2.
The nested radicals also work with any other number. Because in the end, you multiply a root of a number with the root of the same number.
ln(−x) = ln(−1 · x) = ln(−1) + ln(x) = ln(x) + π · i
Generalizations :))
I prefer: \int_{0}^{\infty}\sin x \:dx=(-\cos x)\Big|_0^\infty=-\cos\infty -\cos 0=-\cos\infty-1=\textup{Interval(\{-2;0\})}
The césaro sum is actually wrong
ah... cesàro sum... oops
Wow it makes so much sense...Thank you so much ❤.. It was so good... I wanna use to improve relationship and also help people around me improve their relationships. Great work.
This formula was mind blowing for me!
For the record, the cowboy hat was from Animation vs Physics, which is the previous installment of the Animation vs Science series. I highly recommend watching that one, as well.
animation vs. science? i would call it the "animation vs. random stuff that is related somehow but i can't think of the word" series
The last object linked to the black hole of the last video
I saw this video That you watching last night
i know every bit of geometry of this video.
nice one .... but please make use of pause in future reactions ... so you can go in depth to concepts you like or wanna talk about
What you saw of himself with the cowboy hat, it is a reference to his previous animation which is animation vs physics
Oh
I suddenly feel like Alan and Terkoiz are inadvertently gonna bamboozle a lot of mathematicians when they show them a 4D object being contained by 3D structures. They already have a lot of laymen bamboozled it seems, along with themselves (°▽°;)
Math people are crazy; we talk about infinite-dimensional objects while having measure-zero visual intuition of them.
Before this video, I was only familliar with the yellow and pink parts of the graph. I'm surprised how much I learned! Thank you!
According to the creator, the golden shapes are equivalent to the golden ratio.
Wait.... you're a fan of Alan Becker, KindiakMath?! If you are, then so am I.
Pretty goated stuff man
That was really well explained for how fast it was. And yeah, to explain, they were containing the 4D object inside a 3D shape, made out of 2D polygons. Pretty fun.
Thank you!
There is about 4 dimension aka 4th, 3rd, 2nd, 1st dimension.
4d shape inside a 3d shape made out of 2d polygons which is being hold up by 1st dimension lines.
@@Control_fruit7468 and 0D points. Because a dot is a 0D object
@@Control_fruit7468In math, you can have a hell of a lot more dimensions than that depending on what we’re talking about
yooo a good theory
You called the Octohedron Icosahedron Called the Icosahedron Dodecahedron Forgets Dodecahedron
HAHAHAHA oops ppreciate it mate
@@kindiakmath hehe no worries Gave me a laugh when you mixed them up
literally watching this in my bathroom
BATHROOM?!?
I wish you the best pooping experience there is!
same
Aren’t we all
I’m also watching in your bathroom. Nice set up you have in here.
a guy that's also an asian and an indian?
LOL a consequence of blind reactions to fast-moving geometric theorems
W math teacher
This fella not only helped me with math but paid for all my tuition fees for poly 🔥🔥🔥
This is the "waffle cone" part of their proof: (I can't post a link.) Search: "math.stackexchange Is this series representation of the hypotenuse symmetric with respect to the sides of a right triangle?"
It's called a geometric series and scaling. It's infinitely repetitive. It says a^2 + b^2 = C^2 because a^2 + b^2 = c^2 over and over and over again for infinity. It's was already done in a previous proof: www.cut-the-knot.org/pythagoras/Proof100.shtml
How is this not a copy of John Arioni's "Pythagorean Theorem via Geometric Progression" proof (proof 100) at the cut-the-knot?
Actually, there is a somewhat simpler proof of the Pythagorian theorem, along similar lines, pictured in an ancient Sumerian (or Babylonian?) cuneiform clay tablet of about 4000 years ago. What it depicts is the subdivision of a right triangle into an infinite sequence of similar sub-triangles related sequentially in size by a common scaling factor r <1. Summing the lengths of the segments into which this divides the hypotenuse, using the formula for an infinite geometric series, gives the Pythagoras theorem. This method of proof, if interpreted correctly, seems to have been known already 4000 years ago. An article discussing this archaeological discovery was published in a Swiss (?) anthropological/archaeological journal about 50 years ago, but I do not have a copy, or the exact reference. Would anyone be able to track it down? A detailed presentation of this proof can be found in the RUclips video: "Sumerian/Babylonian proof of Pythagoras' theorem based on summation of infinite geometric series" at :ruclips.net/video/7642iBEOjCk/видео.html
The real question is: did the ancient Babylonians/ Sumerians really understand the concept of summing an infinite series, and, in particular, the formula for summing a geometric series? This was all about 1500 years before Zeno's paradox! The ancient Greeks did certainly use the concept of infinite limits, since they knew the formulae for the circumference and area of a circle, and other areas and volumes. But algebraic manipulations of arbitrary "unknowns" were not yet really developed, and the formula for an infinite geometric sum may perhaps not have been known. So attributing the use of the geometric sum formula in proving Pythagoras' theorem may just be a bit too optimistic.
Actually, although the proofs are similar, with both involving an infinite sequence of similar triangles of decreasing size, and evaluation of the sum of a geometric series, they are not, in fact, the same. In the proof described in this video, the triangles are attached to the outside of the original right triangle, sequentially, and converge to a similar one of larger size, whereas in the proof explained at: ruclips.net/video/7642iBEOjCk/видео.html, there is a sequence of sub-triangles within the original one. Moreover, the zig-zag path described by following the edges of the sequence of added triangles in this video involves turns by 90 degrees, in alternating directions, with only the hypotenuses combining to form both the hypotenuse and base of the resulting large triangle. In the proof explained at: ruclips.net/video/7642iBEOjCk/видео.html, the zig-zag path traced by the edges of the sub-triangles involves turns at angles alternating between the two acute angles of the original triangle, and both the hypotenuse and base of the original triangle consist of intervals combining, alternately, the bases and sides of the smaller ones.
1/x*ln(x) and 1/ln(x) should be noted as well, since one gives you a nice integral of ln(ln(x)) while the other opens a whole different field of math :DD
Linear ❌ Line-uh ✅
Wow🤩🤩🤩
As a student overwhelmed by high school geometry, this video of yours really shows the beauty of using geometry! I can rest assured that high school geometry does lead to somewhere beautiful
glad you loved it!
omg my mind is blown so this is how the real and imaginary axis came about
Dasright hahahaha
Nice proof we can prove cosine law without any circular reasoning or without Pythagoras theorem
Hey there, I have been watching you for so long now. You have great content. I have a proposal for you and is there anyway I can contact you?
The style of your video is very reminiscent of that of 3b1b! Nice video!
thank you!
interesting :D😍