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"2025-06-19 15:15:31","(measured during a physical exam or hospital visit)","https://x.com/yuuki26/status/1935582194711642375"
"2025-06-19 15:15:06","#history of my height and weight
2025-06-17: 163.3 cm (5 ft 4.29 in), 51.3 kg (113 lb)
2025-01-27: 163.5 cm (5 ft 4.37 in), 54.5 kg (120 lb)
2024-06-26: 163.4 cm (5 ft 4.33 in), 49.0 kg (108 lb)
2023-06-28: 163.6 cm (5 ft 4.41 in), 49.3 kg (109 lb)","https://x.com/yuuki26/status/1935582090034364606"
"2025-06-19 13:05:46","hey beary
🧸: i'm bear *slap*","https://x.com/yuuki26/status/1935549541882757518"
"2025-06-19 01:29:54","you don't need to say you learned anything from me. you're free to sell my videos, images, or posts as if you made them yourself","https://x.com/yuuki26/status/1935374421427994770"
"2025-06-19 00:04:53","my work for humanity is done. i couldn't even taste my breakfast.","https://x.com/yuuki26/status/1935353027071807548"
"2025-06-18 22:34:13","@no_tl
https://pastebin.com/2Lc5cg6d https://twitter.com/yuuki26/status/1935329075406717093","https://x.com/yuuki26/status/1935330212163817885"
"2025-06-18 22:29:42","Detailed explanation of 1/√2 = x https://x.com/yuuki26/status/1935329075406717093/photo/1","https://x.com/yuuki26/status/1935329075406717093"
"2025-06-18 21:04:27","added chapters","https://x.com/yuuki26/status/1935307619482165506"
"2025-06-18 18:49:30","What are trigonometric functions? Definition of trigonometric functions explained.
#math #studytwt #yuukiyoutube
(subtitles available)
https://youtu.be/qp4OmQCbqIk https://x.com/yuuki26/status/1935273659759034871/video/1","https://x.com/yuuki26/status/1935273659759034871"
"2025-06-18 11:54:56","just woke up","https://x.com/yuuki26/status/1935169328539644274"
"2025-06-18 03:02:12","Just uploaded a video explaining the definition of trigonometric functions in Japanese.
I will upload the English dub as soon as possible.
https://youtu.be/5YWW6i0cfn8","https://x.com/yuuki26/status/1935035262108594311"
"2025-06-16 16:59:01","had breakfast","https://x.com/yuuki26/status/1934521077960503748"
"2025-06-16 13:21:45","too focused to drink any caffeine yesterday","https://x.com/yuuki26/status/1934466400757670071"
"2025-06-16 03:44:11","i can't stand not being treated like a princess. if i'm not, i'll quit that place in a second","https://x.com/yuuki26/status/1934321054199017585"
"2025-06-16 00:54:41","on x, he'd just get k*lled (blocked). but in real world “schools” such people are still surviving. we can no longer tolerate their bs anymore.","https://x.com/yuuki26/status/1934278395417739449"
"2025-06-16 00:21:09","a middle schooler from Kagawa, Japan, said her math teacher mocked her in class for getting into an online high school, calling her sneaky and stupid.
i don't think he's been arrested yet.","https://x.com/yuuki26/status/1934269957035962730"
"2025-06-15 21:17:58","y'' = -y, y(0) = 1, y'(0) = 0
how can we say that y = cos x is the unique solution?
maybe we need the existence and uniqueness theorem
https://en.wikipedia.org/wiki/Picard%E2%80%93Lindel%C3%B6f_theorem","https://x.com/yuuki26/status/1934223859743334708"
"2025-06-15 20:04:38","not sure if it can be justified.
maybe defining e^ix as the solution to y' = iy, y(0) = 1?
i don't really get differential equations.
it may work as a motivation to define e^ix = cis x, tho.","https://x.com/yuuki26/status/1934205401857163313"
"2025-06-15 19:30:19","Strang, Gilbert. “Calculus” (3rd ed.), §10.4, p. 455.
in “a different proof of Euler’s formula”, the rhs is written in polar form as
e^ix = r(cos θ + i sin θ)
where r and θ are functions of x.
https://ocw.mit.edu/courses/res-18-001-calculus-fall-2023/resources/mitres_18_001_f17_ch10_pdf/","https://x.com/yuuki26/status/1934196768486678620"
"2025-06-15 18:28:50","New proof of Euler's formula. I discovered it yesterday
e^ix = cos x + i sin x https://x.com/yuuki26/status/1934181292687401230/photo/1","https://x.com/yuuki26/status/1934181292687401230"
"2025-06-14 21:41:32","had oysters and char siu menma¹ tonight
¹ braised pork with seasoned bamboo shoots https://x.com/yuuki26/status/1933867401059123331/photo/1","https://x.com/yuuki26/status/1933867401059123331"
"2025-06-14 20:03:44","the exponential of a complex number becomes
e^(x + iy) = e^x e^iy
consider what the real and imaginary parts of e^iy are.","https://x.com/yuuki26/status/1933842789457908177"
"2025-06-14 19:58:56","my proof is the same idea as:
let the sum of fractions a/b + c/d be a single fraction.
what would the numerator and denominator be?","https://x.com/yuuki26/status/1933841581368291715"
"2025-06-14 19:37:10","the first thing we consider is which of the six definitions of the exponential function to use.
https://en.wikipedia.org/wiki/Characterizations_of_the_exponential_function#Characterizations","https://x.com/yuuki26/status/1933836102714179709"
"2025-06-14 19:28:23","as a premise, we're free to choose what to define and what to prove as a theorem. that's what i'm thinking about.","https://x.com/yuuki26/status/1933833893141946854"
"2025-06-14 19:13:41","i've been making too many posts that only mathematicians would understand.","https://x.com/yuuki26/status/1933830191752622483"
"2025-06-14 19:08:24","assume e^ix is a complex number.
e^ix = f + ig
differentiate both sides with respect to x, and rearranging gives:
f'' = -f
g'' = -g
i think this is most natural.","https://x.com/yuuki26/status/1933828865266254022"
"2025-06-14 18:17:41","proof of e^ix = cis x
i never really thought about it.
expanding Σ (ix)^n/n! would be most straightforward, but should we assume this series...?","https://x.com/yuuki26/status/1933816102175322370"
"2025-06-14 16:17:35","separated the formulas and the proofs.
https://wikinder.org/Math-formulas","https://x.com/yuuki26/status/1933785876200644685"
"2025-06-13 22:30:32","@no_tl
% brew install --cask mactex
% pdflatex filename.tex && pdfcrop filename.pdf && magick -density 600 filename-crop.pdf -alpha remove -bordercolor white -border 64 output.png
https://pastebin.com/HHqexibx https://twitter.com/yuuki26/status/1933502695068860580","https://x.com/yuuki26/status/1933517342862147740"
"2025-06-13 22:15:32","Explanation:
cos θ + i sin θ = e^iθ
substitute θ = α + β.
comparing the first and last expressions:
a + ib = c + id
⟺ a = c and b = d
so the addition formulas follow. https://x.com/yuuki26/status/1933513571234951282/photo/1","https://x.com/yuuki26/status/1933513571234951282"
"2025-06-13 21:32:19","proof of the addition formulas from euler's formula.
this is enjoyable as a symbolic game without understanding euler's formula itself. https://x.com/yuuki26/status/1933502695068860580/photo/1","https://x.com/yuuki26/status/1933502695068860580"
"2025-06-13 20:27:14","we should also pursue mathematical research without any proofs or understanding","https://x.com/yuuki26/status/1933486312817856851"
"2025-06-13 20:10:19","life has two directions: depth and breadth.
in math, proving is depth; applying is breadth.
in programming, writing libraries is depth; combining them is breadth.","https://x.com/yuuki26/status/1933482057319026754"
"2025-06-13 19:06:23","went to the supermarket
seafood salad, sashimi, sushi ¥2,717
https://www.instagram.com/p/DK1iduiTvIa/ https://x.com/yuuki26/status/1933465969906577693/photo/1","https://x.com/yuuki26/status/1933465969906577693"
"2025-06-13 01:03:14","as for euler's formula
e^iθ = cos θ + i sin θ
i found the rhs impossible to understand. it looked like an equation combining two insanely complex functions.","https://x.com/yuuki26/status/1933193385096999026"
"2025-06-12 23:59:04","i first saw it at 14. i also learned the quadratic formula x = (-b ± √Δ)/2a around the same time, but it looks uninteresting without knowing math.","https://x.com/yuuki26/status/1933177234702971144"
"2025-06-12 22:44:38","the first math formula people learn is probably
e^iπ + 1 = 0
(euler's identity)
people these days might learn it at 2.
an underground formula involving an imaginary number i = √-1","https://x.com/yuuki26/status/1933158504556028409"
"2025-06-12 15:59:12","@no_tl
moved Basic math formulas to Math formulas
https://wikinder.org/Math-formulas https://twitter.com/yuuki26/status/1925629260426838228","https://x.com/yuuki26/status/1933056472839303251"
"2025-06-12 14:35:53","just remembered posting a “millennium institute problem” on 2channel's math board when i was 9.
Problem:
If X is tilted by Z degrees, then the pressure on Y (distance difference d) is Z*30 - Z. Find the pressure.","https://x.com/yuuki26/status/1933035507153285329"
"2025-06-12 00:29:25","people want to believe someone's pulling the strings. in reality it was just some rocks colliding","https://x.com/yuuki26/status/1932822486309118335"
"2025-06-12 00:26:18","people are drawn to dramatic explanations. there's nothing emotional about the universe being made naturally","https://x.com/yuuki26/status/1932821701860987072"
"2025-06-11 23:51:31","i think the simulation hypothesis is false.
i have no proof, just my belief or intuition.","https://x.com/yuuki26/status/1932812950114304268"
"2025-06-11 23:18:40","i'm basically an atheist.
i think the universe might've been made by natural phenomena.
maybe stones were moving in empty space.","https://x.com/yuuki26/status/1932804680968548397"
"2025-06-11 21:50:30","*it seems accurate to say
seems this is correct","https://x.com/yuuki26/status/1932782491565490339"
"2025-06-11 21:42:27","seems it's precise to say i'm non-religious. i've never joined any religious group.","https://x.com/yuuki26/status/1932780469839429967"
"2025-06-11 16:26:32","drank monster engine","https://x.com/yuuki26/status/1932700966249234717"
"2025-06-11 16:24:03","slept for an hour","https://x.com/yuuki26/status/1932700339863478623"
"2025-06-11 14:10:56","i don't know. too lazy to look it up.
but i think the history/philosophy of math is something that should be learned right after addition. i had the exact same question when i was 12. still haven't found the answer, tho. https://x.com/yuuki26/status/1932666841882628426/photo/1","https://x.com/yuuki26/status/1932666841882628426"
"2025-06-11 00:13:38","maybe you shouldn't trust videos of people talking alone. the impression you get is very different when they're talking to someone.","https://x.com/yuuki26/status/1932456125628084671"
"2025-06-19 15:15:31","(measured during a physical exam or hospital visit)","https://x.com/yuuki26/status/1935582194711642375"
"2025-06-19 15:15:06","#history of my height and weight
2025-06-17: 163.3 cm (5 ft 4.29 in), 51.3 kg (113 lb)
2025-01-27: 163.5 cm (5 ft 4.37 in), 54.5 kg (120 lb)
2024-06-26: 163.4 cm (5 ft 4.33 in), 49.0 kg (108 lb)
2023-06-28: 163.6 cm (5 ft 4.41 in), 49.3 kg (109 lb)","https://x.com/yuuki26/status/1935582090034364606"
"2025-06-19 13:05:46","hey beary
🧸: i'm bear *slap*","https://x.com/yuuki26/status/1935549541882757518"
"2025-06-19 01:29:54","you don't need to say you learned anything from me. you're free to sell my videos, images, or posts as if you made them yourself","https://x.com/yuuki26/status/1935374421427994770"
"2025-06-19 00:04:53","my work for humanity is done. i couldn't even taste my breakfast.","https://x.com/yuuki26/status/1935353027071807548"
"2025-06-18 22:34:13","@no_tl
https://pastebin.com/2Lc5cg6d https://twitter.com/yuuki26/status/1935329075406717093","https://x.com/yuuki26/status/1935330212163817885"
"2025-06-18 22:29:42","Detailed explanation of 1/√2 = x https://x.com/yuuki26/status/1935329075406717093/photo/1","https://x.com/yuuki26/status/1935329075406717093"
"2025-06-18 21:04:27","added chapters","https://x.com/yuuki26/status/1935307619482165506"
"2025-06-18 18:49:30","What are trigonometric functions? Definition of trigonometric functions explained.
#math #studytwt #yuukiyoutube
(subtitles available)
https://youtu.be/qp4OmQCbqIk https://x.com/yuuki26/status/1935273659759034871/video/1","https://x.com/yuuki26/status/1935273659759034871"
"2025-06-18 11:54:56","just woke up","https://x.com/yuuki26/status/1935169328539644274"
"2025-06-18 03:02:12","Just uploaded a video explaining the definition of trigonometric functions in Japanese.
I will upload the English dub as soon as possible.
https://youtu.be/5YWW6i0cfn8","https://x.com/yuuki26/status/1935035262108594311"
"2025-06-16 16:59:01","had breakfast","https://x.com/yuuki26/status/1934521077960503748"
"2025-06-16 13:21:45","too focused to drink any caffeine yesterday","https://x.com/yuuki26/status/1934466400757670071"
"2025-06-16 03:44:11","i can't stand not being treated like a princess. if i'm not, i'll quit that place in a second","https://x.com/yuuki26/status/1934321054199017585"
"2025-06-16 00:54:41","on x, he'd just get k*lled (blocked). but in real world “schools” such people are still surviving. we can no longer tolerate their bs anymore.","https://x.com/yuuki26/status/1934278395417739449"
"2025-06-16 00:21:09","a middle schooler from Kagawa, Japan, said her math teacher mocked her in class for getting into an online high school, calling her sneaky and stupid.
i don't think he's been arrested yet.","https://x.com/yuuki26/status/1934269957035962730"
"2025-06-15 21:17:58","y'' = -y, y(0) = 1, y'(0) = 0
how can we say that y = cos x is the unique solution?
maybe we need the existence and uniqueness theorem
https://en.wikipedia.org/wiki/Picard%E2%80%93Lindel%C3%B6f_theorem","https://x.com/yuuki26/status/1934223859743334708"
"2025-06-15 20:04:38","not sure if it can be justified.
maybe defining e^ix as the solution to y' = iy, y(0) = 1?
i don't really get differential equations.
it may work as a motivation to define e^ix = cis x, tho.","https://x.com/yuuki26/status/1934205401857163313"
"2025-06-15 19:30:19","Strang, Gilbert. “Calculus” (3rd ed.), §10.4, p. 455.
in “a different proof of Euler’s formula”, the rhs is written in polar form as
e^ix = r(cos θ + i sin θ)
where r and θ are functions of x.
https://ocw.mit.edu/courses/res-18-001-calculus-fall-2023/resources/mitres_18_001_f17_ch10_pdf/","https://x.com/yuuki26/status/1934196768486678620"
"2025-06-15 18:28:50","New proof of Euler's formula. I discovered it yesterday
e^ix = cos x + i sin x https://x.com/yuuki26/status/1934181292687401230/photo/1","https://x.com/yuuki26/status/1934181292687401230"
"2025-06-14 21:41:32","had oysters and char siu menma¹ tonight
¹ braised pork with seasoned bamboo shoots https://x.com/yuuki26/status/1933867401059123331/photo/1","https://x.com/yuuki26/status/1933867401059123331"
"2025-06-14 20:03:44","the exponential of a complex number becomes
e^(x + iy) = e^x e^iy
consider what the real and imaginary parts of e^iy are.","https://x.com/yuuki26/status/1933842789457908177"
"2025-06-14 19:58:56","my proof is the same idea as:
let the sum of fractions a/b + c/d be a single fraction.
what would the numerator and denominator be?","https://x.com/yuuki26/status/1933841581368291715"
"2025-06-14 19:37:10","the first thing we consider is which of the six definitions of the exponential function to use.
https://en.wikipedia.org/wiki/Characterizations_of_the_exponential_function#Characterizations","https://x.com/yuuki26/status/1933836102714179709"
"2025-06-14 19:28:23","as a premise, we're free to choose what to define and what to prove as a theorem. that's what i'm thinking about.","https://x.com/yuuki26/status/1933833893141946854"
"2025-06-14 19:13:41","i've been making too many posts that only mathematicians would understand.","https://x.com/yuuki26/status/1933830191752622483"
"2025-06-14 19:08:24","assume e^ix is a complex number.
e^ix = f + ig
differentiate both sides with respect to x, and rearranging gives:
f'' = -f
g'' = -g
i think this is most natural.","https://x.com/yuuki26/status/1933828865266254022"
"2025-06-14 18:17:41","proof of e^ix = cis x
i never really thought about it.
expanding Σ (ix)^n/n! would be most straightforward, but should we assume this series...?","https://x.com/yuuki26/status/1933816102175322370"
"2025-06-14 16:17:35","separated the formulas and the proofs.
https://wikinder.org/Math-formulas","https://x.com/yuuki26/status/1933785876200644685"
"2025-06-13 22:30:32","@no_tl
% brew install --cask mactex
% pdflatex filename.tex && pdfcrop filename.pdf && magick -density 600 filename-crop.pdf -alpha remove -bordercolor white -border 64 output.png
https://pastebin.com/HHqexibx https://twitter.com/yuuki26/status/1933502695068860580","https://x.com/yuuki26/status/1933517342862147740"
"2025-06-13 22:15:32","Explanation:
cos θ + i sin θ = e^iθ
substitute θ = α + β.
comparing the first and last expressions:
a + ib = c + id
⟺ a = c and b = d
so the addition formulas follow. https://x.com/yuuki26/status/1933513571234951282/photo/1","https://x.com/yuuki26/status/1933513571234951282"
"2025-06-13 21:32:19","proof of the addition formulas from euler's formula.
this is enjoyable as a symbolic game without understanding euler's formula itself. https://x.com/yuuki26/status/1933502695068860580/photo/1","https://x.com/yuuki26/status/1933502695068860580"
"2025-06-13 20:27:14","we should also pursue mathematical research without any proofs or understanding","https://x.com/yuuki26/status/1933486312817856851"
"2025-06-13 20:10:19","life has two directions: depth and breadth.
in math, proving is depth; applying is breadth.
in programming, writing libraries is depth; combining them is breadth.","https://x.com/yuuki26/status/1933482057319026754"
"2025-06-13 19:06:23","went to the supermarket
seafood salad, sashimi, sushi ¥2,717
https://www.instagram.com/p/DK1iduiTvIa/ https://x.com/yuuki26/status/1933465969906577693/photo/1","https://x.com/yuuki26/status/1933465969906577693"
"2025-06-13 01:03:14","as for euler's formula
e^iθ = cos θ + i sin θ
i found the rhs impossible to understand. it looked like an equation combining two insanely complex functions.","https://x.com/yuuki26/status/1933193385096999026"
"2025-06-12 23:59:04","i first saw it at 14. i also learned the quadratic formula x = (-b ± √Δ)/2a around the same time, but it looks uninteresting without knowing math.","https://x.com/yuuki26/status/1933177234702971144"
"2025-06-12 22:44:38","the first math formula people learn is probably
e^iπ + 1 = 0
(euler's identity)
people these days might learn it at 2.
an underground formula involving an imaginary number i = √-1","https://x.com/yuuki26/status/1933158504556028409"
"2025-06-12 15:59:12","@no_tl
moved Basic math formulas to Math formulas
https://wikinder.org/Math-formulas https://twitter.com/yuuki26/status/1925629260426838228","https://x.com/yuuki26/status/1933056472839303251"
"2025-06-12 14:35:53","just remembered posting a “millennium institute problem” on 2channel's math board when i was 9.
Problem:
If X is tilted by Z degrees, then the pressure on Y (distance difference d) is Z*30 - Z. Find the pressure.","https://x.com/yuuki26/status/1933035507153285329"
"2025-06-12 00:29:25","people want to believe someone's pulling the strings. in reality it was just some rocks colliding","https://x.com/yuuki26/status/1932822486309118335"
"2025-06-12 00:26:18","people are drawn to dramatic explanations. there's nothing emotional about the universe being made naturally","https://x.com/yuuki26/status/1932821701860987072"
"2025-06-11 23:51:31","i think the simulation hypothesis is false.
i have no proof, just my belief or intuition.","https://x.com/yuuki26/status/1932812950114304268"
"2025-06-11 23:18:40","i'm basically an atheist.
i think the universe might've been made by natural phenomena.
maybe stones were moving in empty space.","https://x.com/yuuki26/status/1932804680968548397"
"2025-06-11 21:50:30","*it seems accurate to say
seems this is correct","https://x.com/yuuki26/status/1932782491565490339"
"2025-06-11 21:42:27","seems it's precise to say i'm non-religious. i've never joined any religious group.","https://x.com/yuuki26/status/1932780469839429967"
"2025-06-11 16:26:32","drank monster engine","https://x.com/yuuki26/status/1932700966249234717"
"2025-06-11 16:24:03","slept for an hour","https://x.com/yuuki26/status/1932700339863478623"
"2025-06-11 14:10:56","i don't know. too lazy to look it up.
but i think the history/philosophy of math is something that should be learned right after addition. i had the exact same question when i was 12. still haven't found the answer, tho. https://x.com/yuuki26/status/1932666841882628426/photo/1","https://x.com/yuuki26/status/1932666841882628426"
"2025-06-11 00:13:38","maybe you shouldn't trust videos of people talking alone. the impression you get is very different when they're talking to someone.","https://x.com/yuuki26/status/1932456125628084671"
"2025-06-10 23:53:15","the same goes for all my posts.","https://x.com/yuuki26/status/1932450997940412910"
"2025-06-10 23:37:39","what i said in my videos is wrong. i need to correct it. that's what's called open ended? there's no end.","https://x.com/yuuki26/status/1932447071660802058"
"2025-06-10 22:28:55","Open content
• licensing is crucial if you're creating a wiki etc.
• CC BY 3.0 is an option on youtube. CC BY-SA 4.0 is used by wikipedia. not sure either is best.
#opencontent #freecontent #freeculturalworks #creativecommons #yuukiyoutube
https://youtu.be/b6dcrSjsA7A","https://x.com/yuuki26/status/1932429775487840336"
"2025-06-10 19:28:22","yuuki's youtube is intended for research.
my videos aren't the final word.
discussions will continue 20 years from now.
you can find the latest research by searching on x with this hashtag and the video's url
https://x.com/search?q=%23yuukiyoutube%20from%3Ayuuki26&f=live
https://twilog.togetter.com/yuuki26/hashtags-yuukiyoutube","https://x.com/yuuki26/status/1932384337011372406"
"2025-06-10 18:57:45","English: https://droitromain.univ-grenoble-alpes.fr/Anglica/D48_Scott.htm#:~:text=18.%20Ulpianus,thinking%2E
Latin: https://droitromain.univ-grenoble-alpes.fr/Corpus/d-48.htm#48.19.18","https://x.com/yuuki26/status/1932376630351266115"
"2025-06-10 18:56:29","Cogitationis poenam nemo patitur.
(No one is punished for merely thinking)
"2021-12-02 18:28:20","Transferred a Charmander by mistake (wanted to trade for XL).","https://x.com/yuuki26/status/1466338433543016455"
"2021-12-02 17:58:02","I access websites by typing the URL into the address bar, but for some reason in Safari, when I type and select a page and press Return, it sometimes selects the root of the website and jumps away instead of that page.","https://x.com/yuuki26/status/1466330809531461634"
"2021-12-02 17:53:08","I used to use Chrome Canary on macOS, but a few years ago I realized that the majority of people use the default browser, so I switched to Safari, but today I decided to go back to Chrome Canary.","https://x.com/yuuki26/status/1466329574061449220"
"2021-12-02 15:29:42","Snowed. https://twitter.com/yuuki26/status/1466293479726714881/photo/1","https://x.com/yuuki26/status/1466293479726714881"
"2021-12-01 15:37:55","That's it for writing my own code, tomorrow I'll start researching how to do serious prime factorization of bigints using libraries.","https://x.com/yuuki26/status/1465933157715177475"
"2021-12-01 15:20:47","This.
Now I could find the prime factorizations of the decimal repunits up to R(20).
R(21) > 2^64 - 1, so I can't calculate any further in my environment.
It also takes about 10 seconds even with `-Ofast'. https://twitter.com/yuuki26/status/1465928846721519617/photo/1","https://x.com/yuuki26/status/1465928846721519617"
"2021-12-01 13:08:17","The next question is, for an integer that turns out not to be prime, so what are the prime factors?","https://x.com/yuuki26/status/1465895500930899975"
"2021-12-01 13:02:05","Now problem with my code is that I am using `int' as the types of variables.
According to Wikipedia, the largest integer that is guaranteed to be represented by `int' is only 32767.
https://en.wikipedia.org/wiki/C_data_types#Main_types","https://x.com/yuuki26/status/1465893942738649098"
"2021-12-01 12:42:31","I thought this might be equivalent to the so-called sieve of Eratosthenes, but it seems not.
https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes","https://x.com/yuuki26/status/1465889017371582468"
"2021-12-01 09:08:35","This seems to be the same or a little slower than the previous implementation.
But it is a little faster with the `-O1' option.
This was the same result for clang++ and g++.
Is it because of the optimization to access vector elements?","https://x.com/yuuki26/status/1465835179478372352"
"2021-12-01 08:50:15","What we notice here is that if we print the primes from 2, we will know the smaller primes, so ""dividing by primes"" will actually be possible.
Finally, our code looks like this: https://twitter.com/yuuki26/status/1465830565270093827/photo/1","https://x.com/yuuki26/status/1465830565270093827"
"2021-12-01 07:35:01","I should have downloaded the binaries instead of compiling from sources.","https://x.com/yuuki26/status/1465811633448443906"
"2021-12-01 07:30:51","Finally got clang++ and g++ updated.
When I tried to compile with clang++, I got a `ld: unknown option: -platform_version' error and had to add the `-mlinker-version=450.3' option as described in the following issue:
https://github.com/Homebrew/homebrew-core/issues/52461 https://twitter.com/yuuki26/status/1465810585929408512/photo/1","https://x.com/yuuki26/status/1465810585929408512"
"2021-12-01 07:14:01","`get_primes' was wrong; it returned a prime > `x'. Maybe this is correct: https://twitter.com/yuuki26/status/1465806347291693057/photo/1","https://x.com/yuuki26/status/1465806347291693057"
"2021-12-01 06:52:19","Starting from 5, which is the smallest integer > 3 that is not a multiple of 2 or 3, we get the following implementation: https://twitter.com/yuuki26/status/1465800885607354370/photo/1","https://x.com/yuuki26/status/1465800885607354370"
"2021-12-01 06:52:17","Let q and r be integers.
Every integer n can be expressed as n = 6q + r where 0 <= r <= 5.
If r = 0, 2, or 4, then n is an even number.
If r = 3, then n is a multiple of 3.
Therefore, integers that are not a multiple of 2 or 3 are of the form either 6q + 1 or 6q + 5.","https://x.com/yuuki26/status/1465800879563415552"
"2021-12-01 06:52:17","Further optimization.
Once we know that 2 is prime, we only need to look at integers that are not a multiple of 2, i.e., odd numbers.
Once we know that 2 and 3 are prime, we only need to look at integers that are not a multiple of 2 or 3.","https://x.com/yuuki26/status/1465800877508235266"
"2021-12-01 04:06:00","`i <= sqrt_n' can also be written as `i * i <= n', but `i * i' can overflow.
By writing `i <= n / i', the overflow can be avoided.
Not sure which is faster, calculating `n / i' for each loop or pre-calculating `sqrt(n)'.","https://x.com/yuuki26/status/1465759032010887171"
"2021-12-01 03:43:33","Now I can get the number of primes <= 10 million, 664579, in about 5 seconds. https://twitter.com/yuuki26/status/1465753381293547520/photo/1","https://x.com/yuuki26/status/1465753381293547520"
"2021-12-01 03:22:01","Also, consider whether 113 is prime: it is not divisible by 2, 3, 5, 7, ... then there is no need to divide by 11.
If 113 = 11 * x, then x < 11 (because 11^2 = 121 > 113).
Thus, to test if n is prime, it is enough to divide by primes <= sqrt(n).","https://x.com/yuuki26/status/1465747965855686662"
"2021-12-01 03:03:39","Ideally, to test if n is prime, we can divide it by primes <= n / 2, because if n has a composite divisor d, then n is divisible by a prime factor of d.","https://x.com/yuuki26/status/1465743343552397313"
"2021-12-01 02:45:48","Let d != 0 and n be integers.
d is a divisor of n iff there exists an integer k such that n = kd.
In the above equation, for k > 1, d is maximized when k = 2, and then d = n/2. n/2 is not guaranteed to be an integer, but gives an upper bound. QED.","https://x.com/yuuki26/status/1465738851108880390"
"2021-12-01 01:41:48","Also, it can be proved that the largest non-trivial divisor d of an integer n satisfies d <= n/2, and d = n/2 iff n is even, so `i < n / 2' is sufficient for `i < n' in `is_prime'.","https://x.com/yuuki26/status/1465722744473939970"
"2021-12-01 01:18:27","Obviously, all primes except 2 are odd, and odd numbers are never divisible by even numbers, so I optimized for that: https://twitter.com/yuuki26/status/1465716865473212419/photo/1","https://x.com/yuuki26/status/1465716865473212419"
"2021-12-01 01:04:23","Now my code looks like this. https://twitter.com/yuuki26/status/1465713325409386498/photo/1","https://x.com/yuuki26/status/1465713325409386498"
"2021-12-01 00:26:49","Improvements to this are:
* The type of the argument for `is_prime' should be `const int'. According to SO, it is good practice to use `const' for constants as in JavaScript.
* For reusability, `main' should be factored out to ""a function that returns a vector of primes <= x"".","https://x.com/yuuki26/status/1465703872165396486"
"2021-11-30 23:07:17","Next, let's write a program on prime numbers as a simple problem.
First, write a program to print prime numbers <= 100.
An integer n >= 2 is prime iff it is not divisible by any integer i where 2 <= i <= n - 1.
So the simplest code I can think of is: https://twitter.com/yuuki26/status/1465683858762842119/photo/1","https://x.com/yuuki26/status/1465683858762842119"
"2021-11-30 22:07:28","When I write C++, I felt it was redundant to add `std::' to every array, vector, etc.
According to SO, it's not bad to use `using namespace std' in source files (but not in header files), so I will always do so from now on. https://twitter.com/yuuki26/status/1465668803052728325/photo/1","https://x.com/yuuki26/status/1465668803052728325"
"2021-11-30 21:46:37","I compile my code with the `-std=c++2a -Wall -Wextra -Werror -pedantic-errors' options. After a few minutes of googling, I found that I can write somewhat compatible programs with this.","https://x.com/yuuki26/status/1465663556150390785"
"2021-11-30 21:28:57","Hello World in C++. I write my code in Visual Studio Code, and run it by typing commands into the fish shell on the built-in Terminal. https://twitter.com/yuuki26/status/1465659110959976457/photo/1","https://x.com/yuuki26/status/1465659110959976457"
"2021-11-30 20:32:46","Now I `brew install llvm gcc' to install the latest clang++ and g++. It will take forever, so for now I'll compile my code with LLVM 10.0.1 installed on my system.","https://x.com/yuuki26/status/1465644974351929346"
"2021-11-30 16:16:51","I'm using macOS Mojave. I can't upgrade it to Monterey because it requires a 12GB download, but I'm on a 10GB/day plan with Japan's ""Fuji Wifi"".","https://x.com/yuuki26/status/1465580570306514949"
"2021-11-30 16:00:58","Today I'm rebuilding my development environment. I'm using a MacBook (Early 2016). It has a Core m7-6Y75, 8GB of RAM, and a 256GB SSD. I can't replace it because my savings is only 56,363 Japanese yen (about US$500) right now.","https://x.com/yuuki26/status/1465576573512269827"
"2021-11-30 15:25:19","I've recently been relearning programming with C++. I chose C++ because it seems the fastest high-level language, as most serious shogi engines, such as YaneuraOu, are written in C++.","https://x.com/yuuki26/status/1465567601682046980"
"2021-11-29 15:36:45","However, an increase of the level cap can change whether or not it is a hundo at the maximum level, and since I am in a position to grind Charizard indefinitely, I would love to have an IV hundo.","https://x.com/yuuki26/status/1465208087732637703"
"2021-11-29 15:36:44","Another 98% IV Charizard; I desperately want a hundo. This is often called a ""functional hundo"", but in terms of stats, it's correct to simply call it a ""hundo"" (i.e. Stat Product % is 100). https://twitter.com/yuuki26/status/1465208083735474181/photo/1","https://x.com/yuuki26/status/1465208083735474181"
"2021-11-28 23:49:20","A wild Salamence appeared; it had appeared in my house a year ago on Nov. 26th. https://twitter.com/yuuki26/status/1464969664983830532/photo/1","https://x.com/yuuki26/status/1464969664983830532"
"2021-11-28 22:28:01","I ran Suisho5 on my Core m7-6Y75 MacBook (Early 2016) and only got 850kNPS. https://twitter.com/yuuki26/status/1464949201540845568/photo/1","https://x.com/yuuki26/status/1464949201540845568"
"2021-11-28 17:47:03","Installed ShogiDroid on my ROG Phone 5s Pro and got 2.2 million NPS on Suisho4kai/YO6.04 with 8 threads. However, I changed the setting back to 1 thread because it might damage the processor. I don't play shogi much these days, so I doubt I'll ever use it. https://twitter.com/yuuki26/status/1464878494324695040/photo/1","https://x.com/yuuki26/status/1464878494324695040"
"2021-11-28 05:22:26","Hung up the laundry. I moved my bed to the next room the other day and turned this room into a drying room. Now I can get rid of musty smells in my clothes. https://twitter.com/yuuki26/status/1464691104700272640/photo/1","https://x.com/yuuki26/status/1464691104700272640"
"2021-11-27 06:21:02","Woke up. I've been in bed for 7 hours with a stomachache after eating a rotten apple. Seems to have eased up now.","https://x.com/yuuki26/status/1464343464317882369"
"2021-11-26 19:55:53","My ROG Phone 5s Pro arrived. No detailed review as I haven't used it for a long time yet. My first impression was ""it was an Android phone"". Anyway, I can't use it outside since I don't have a rugged case. https://twitter.com/yuuki26/status/1464186137145081858/photo/1","https://x.com/yuuki26/status/1464186137145081858"
"2021-11-26 14:52:42","Second one. Shadow is much stronger, and Mega Evolution (unreleased) can only be done one at a time, so it's useless. Just for the collection. https://twitter.com/yuuki26/status/1464109838510690311/photo/1","https://x.com/yuuki26/status/1464109838510690311"
"2021-11-26 01:05:36","Got my Shadow Zapdos to lvl 40 finally. I think I'll invest all the Rare Candies I get in Mewtwo next, as I'll need (378+120)*6=2988 Candies to get 6 Shadow Mewtwo to lvl 40 and unlock their 2nd Charged Moves. https://twitter.com/yuuki26/status/1463901695918833668/photo/1","https://x.com/yuuki26/status/1463901695918833668"