Let's understand the most beautiful formula in the world (for science)
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【Related Videos】 『Let's Understand the Most Beautiful Formula in the World (for Liberal Arts)』 ( • Let's Understand the Most Beautiful Formula in the World (for Liberal Arts) ) 『Let's Quickly Understand the Most Beautiful Formula in the World』 ( • Let's Understand the Most Beautiful Formula in the World ) 【Erratum】 Since the production period was expected to be too short and many of you had to wait, I was a bit hasty and there seem to be more typos and errors in the screen or dialogue than expected. There is no way to fix a YouTube video other than deleting and re-uploading, but I will continue to add any errors I find in the future to the More section. I apologize to the viewers and ask for your understanding. (00:12) '1729 = 1³+12³=9³+10³'. (1729 is said to be the smallest number that can be expressed as the sum of two different cubes.) (03:33) 'Because any real number, if you multiply it by two, becomes a positive number' ... 0 is still 0 even if you multiply it by two, so it is not a positive number. Therefore, strictly speaking, the phrase 'any real number' is wrong and 0 should be excluded. (05:59) '1+6i' and '5+i' are swapped. (08:37) 'To make the slope minus 1 when multiplied' → 'To make the result minus 1 when multiplying two slopes' (13:57) f'(x)????(x) → f'(x)????x (22:20) Under the yellow differential equation, f'(x+????x) should be changed to f(x+????x), and in the middle of the solution process, 'f′(????x), f′(2????x), f′(3????x), f′(n????x)' next to the sky blue box should be changed to 'f(????x), f(2????x), f(3????x), f(n????x)'. (28:45) There is an exclamation mark(!) next to 'x=3.14', which is a typo that was entered for some unknown reason while handling the editing program. This exclamation mark is not a factorial or any other symbol, it's just a typo. (41:24) 'And when you look at it parallel to the real axis (→ imaginary axis)... Doesn't this look familiar? The imaginary part of e to the ixth power is exactly the shape of the cosine function (→ sine function). And when you look at it parallel to the imaginary axis (→ real axis), this shape is the sine function (→ cosine function).' (46:35) Left side of the equation at the bottom right: e^[i????x] → e^[i(x+????x)] (47:32) Existence → Existence
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