Thank you so much for putting English subtitles! I love their discussions, interactions, and the mathematics itself. Greatk work Zundamon's Theorem-san.
This is one of the best channels in youtube, hugs from Brazil! これは TH-cam で最高のチャンネルの 1 つです、ブラジルからハグします! Esse é um dos melhores canais do youtube, abraços do Brasil!!
terence tao's "compactness and contradiction" has a nice bit about tropical geometry, and its relation to nonstandard analysis and lots of random cool facts
Woah, actually I don't know too much about math, but this video looks very interesting for me, I can't believe it's really easy to understand. I really loved it, you made my day hehe.
I haven't really heard much about topical geometry before this video, but it surely was an interesting look into the weird world of addition and multiplication that it has! 😭 Great Video!
1:10 Generalized exponential and logarithmic mappings like this remind me of their use with linear operators, where the usual expressions fall out as the zeroth order terms of the Baker-Campbell-Hausdorff formula
Man, I keep finding your comments, It started with vsauce random url video, then on a chess video probably eric rosen , and a random recommended video that I don't remember, and now I found you on a zundamon math video
That’s not what these symbols mean in quantum mechanics, I’m afraid. The multiplication symbol surrounded by a circle means something called the “tensor product” of Hilbert spaces. The addition symbol surrounded by a circle also means something else that has to do with Hilbert spaces, not the same as the symbol shown in this video.
@@Greencatbeer you’re welcome! If you want to study quantum mechanics, make sure you’ve studied the following topics first: 1. Linear algebra 2. Differential equations 3. Basic electrodynamics 3. Wave mechanics Recommend but not required: Statistical mechanics. Once you’ve got that background, any quantum mechanics textbook will be good, I personally enjoyed the books written by Claude Cohen-Tannoudji. Good luck!
when i look at it, it is actually quite strange that i am watching an ai pretending to be 2 pubescent girls while reading a script about obscure mathematics in japanese like its actually quite and odd thing to be happening
@@FireyDeath4 I looked it up online and found out that zundamon is actually from a text to speech software called voicevox (if I remember the name correctly) she's pretty famous in Japan (on niconico at least) so it's safe to say this is not voiced by AI
Wait, I thought they were gonna explain the definitions! I don't understand this! Then again, ⨂ being defined as + would just make it redundant... Wait, hold on! It actually is, isn't it? Why? This is so pointless! Also, I can't believe the Englishmen are forcing absolute foreigners to just randomly talk in Latinisheseanic \(-_-)/ What's the point of speaking one language if you're just gonna have to speak another? I wish they could just be consistent and say both the expressions and sentences in English, or Japanese...
@@juliavixen176 Well, at least we're not using completely different types of scripts, like the calibre of exotic Asian or African ones. Except for Hebrew, which is kinda weird. Honestly, it's a bit strange to me that they haven't introduced Cyrillic characters yet. And the Japanese people didn't even say these things in their own orthography, like they usually do with loanwords! They actually said things like "eks" and "plus" and "ti"
@@wonderstruck. Well yeah... But like, if these signs have the same function as other ones, I don't see why they don't just use the signs that already exist for these things, rather than make up the new ones. I just don't see the point, and it kinda makes it seem more complicated than it actually is
@@FireyDeath4 they’re defining a whole new algebra. Any multiplication we normally do is REPLACED BY addition under these new rules. Tbh I don’t fully understand it but from looking it up you can get some pretty cool results with this kind of math
![[Eng Sub] Basel Problem: What is Behind the Famous Proof](http://i.ytimg.com/vi/jmtiWGnj5os/mqdefault.jpg)
これもうめたんの領域展開だろwww
行列計算でトロピカル演算(min)を使うと最短路距離が計算できる話が好き
カーナビや電車乗り換えアプリの経路計算でも、多分そこそこ使われている割と重要な技術
本質的にはダイクストラ法をグラフのノード全てで同時にやるってだけなんだけどね
I am so thankful for those subtitles, this channel is pure gold ❤
True
zunda so silly!!
It appears that they removed the subtitles :(.
こういうのとかラプラス変換とか4次元でボールを破らずに裏返して3次元に戻す話とか現実世界のバグとかグリッチ感あっていいよね
Thank you so much for putting English subtitles! I love their discussions, interactions, and the mathematics itself. Greatk work Zundamon's Theorem-san.
This is one of the best channels in youtube, hugs from Brazil!
これは TH-cam で最高のチャンネルの 1 つです、ブラジルからハグします!
Esse é um dos melhores canais do youtube, abraços do Brasil!!
大学でtropical matrixを使って全点間最短経路問題の研究をしてた。こんなところでまた会えるとは！
tropical matrixの(min,+),(max,+),(×,+)のニューラルネットワークは段数2段でできる。
流し読みしてたらbotに見えたわ
トロピカルと聞くとトロピカル演算よりあの大物youtubeｒを思い浮かんでしまう体になってしまった
？？？「ほならね、自分で計算してみろって話でしょ？」
ファミポップ３な
同じく😂
聞いたこともないのに非母語話者なのにすごく分かりやすく説明してくれました！
ありがとうございました！
トロピカル幾何学だ！
卒論でちょっと使った（修士ではテーマが変わったため触れなかった）以来で単語すら懐かしい、この気にまた勉強しようかな
そもそも数学科で卒論あるとこあんの？
@@bennoarchimboldi6245 数学科ではないです！物理系で理論に近い領域でしたが、理論の分析というか評価で用いていました
トロピカル幾何学自体を研究対象としていた訳ではないです
6:46 I was confused because I thought it was a XOR at first. Glad this was explained!
you can actually represent xor as an addition.
6:46
相対論屋なので⊗はテンソル積のイメージが強いですね
terence tao's "compactness and contradiction" has a nice bit about tropical geometry, and its relation to nonstandard analysis and lots of random cool facts
This is very good and motivating maths channel! すげぇ〜
こんなわけわからないものを面白く解説できる言語化能力
トロピカル○○で無職以外あるんだな
Woah, actually I don't know too much about math, but this video looks very interesting for me, I can't believe it's really easy to understand.
I really loved it, you made my day hehe.
I haven't really heard much about topical geometry before this video, but it surely was an interesting look into the weird world of addition and multiplication that it has! 😭 Great Video!
1:10 Generalized exponential and logarithmic mappings like this remind me of their use with linear operators, where the usual expressions fall out as the zeroth order terms of the Baker-Campbell-Hausdorff formula
とても面白いです。もっと伸びてほしい
トロピカル無職
トロピカル幾何学
トロピカル方式
全部存在するという事実
中学生です‼︎中学生でもわかる内容でとても面白かったです‼︎
cool, thanks for the english subs!
素晴らしい内容です。
なんかむずそうだけど、トロピカル風とかいうとちょっと楽しくなるね
Thanks for the English subs ❤️
Finally, an anime version of 3B1B!!! Thank you TH-cam recommendations! 💖💖💖
Спасибо большое за субтитры! Продолжайте в том же духе!
トロピカル代数は最近気になってたトピック
Tropical geometering in another semiring with Laurent polynomial super vanishing powers.
Man, I keep finding your comments,
It started with vsauce random url video, then on a chess video probably eric rosen , and a random recommended video that I don't remember, and now I found you on a zundamon math video
And also in a carykh video
@@gokaytaspnar1355 What can I say. We have good taste.
最初、論理式に見えて蕁麻疹出た
トロピカル足し算がどうしてもXORに見えてしまう……
0の次数は-∞の説明に初めて納得した
Thanks for the subtitles !
Much love from Morocco ❤
Clicked on it because "lol anime math". Stayed because it's actually really interesting math which is perfect for my level of knowledge.
Thank you for the wonderful video, take care.
このチャンネルの更新が、最近の楽しみ。選択公理とか教えてほしい。
こんなに名前が美味しそうなのは初めて見た
実に面白い
連続体仮説やってほしいです！
関数方程式の問題で詰まるとよくdegf(x)で代数構造作れないかなと妄想してたけど、半環の性質持つんだね
数学の書棚にある本の中で一つだけ異色
サムネの計算合ってる？間違ってね？って思ったけど、１と∞の最小値だったら確かに1だわ。
この映画はそう簡単に見えない！でも見つけ方がないのかな、ありがとうございます！
I love algebraic geometry
6:27 さよなら夏休み
Please do a video on lattices(order).
я очень рад, что подписался на этот канал, хоть и не понимаю ни слова! К счастью, математика интернациональна 😀
английские сабы есть, если что
@@gnarus9151 забавно, но иногда можно понять суть происходящего в математике вообще без слов
宇宙際タイヒミュラー理論を思い出す
丸善の本店行ったときトロピカル幾何学の本買っている人居て感激した
Poor Zundamon :(
I hope she got her summer vacation, she deserves it
Wouldn’t the additive inverse in tropical geometry be any number less than or equal to x (if we’re considering max)?
You're content is really good but some of these videos are advanced.
Subs from India❤❤
これが見せ算かぁ
6:13 Brasil foi mencionado!!
見せ算Lv1000
열대기하학은 이름만 들어봤었는데 기본 연산들 유도하는게 꽤 직관적이고 재밌네요
トロピカってる〜！
そのうちハイパー演算の↑みたいなノリで↓の演算も作られそう
↑↑↓↓←→←→ＢＡ
3↑↑2 = 27 (テトレーション)
3↑2 = 9 (べき乗)
3×2 = 6 (掛け算)
3+2 = 5 (足し算)
3↓2 = 4 (次の整数)
3↓↓2 = 3 (何もしない)
ここで終わるのだが
演算子ではないけど↓は計算理論の分野で使われるな
@@cmyk8964そっから、マイナス1、引き算、割り算、ルートみたいになってくんちゃう？逆テトレーションもa↓↓xはa＝b↑↑xとなるbと定義すればよい。3↓↓2はb^b＝3となるbだから1.83くらい
量子力学でよく伺う二つの記号がどのように使われているのかおかげでざっくりな形であっても理解できました。頭を頷かざるを得ない説明と常にお世話になる二人の可愛いらしい姿から今日も勉強になりました。
That’s not what these symbols mean in quantum mechanics, I’m afraid. The multiplication symbol surrounded by a circle means something called the “tensor product” of Hilbert spaces. The addition symbol surrounded by a circle also means something else that has to do with Hilbert spaces, not the same as the symbol shown in this video.
@@blurb8397 thanks to your explanation! I forgot what they told that there are several fields who use the same symbol with different meanings.
@@Greencatbeer you’re welcome! If you want to study quantum mechanics, make sure you’ve studied the following topics first:
1. Linear algebra
2. Differential equations
3. Basic electrodynamics
3. Wave mechanics
Recommend but not required: Statistical mechanics.
Once you’ve got that background, any quantum mechanics textbook will be good, I personally enjoyed the books written by Claude Cohen-Tannoudji.
Good luck!
物理で使う+×記号は全く違う意味です。3×3=8+1など。
0:11 領域展開, 数学 授業
18:12 なんかこれ化学でいう状態図とか関係あるんじゃね？
おもろそうな記号だなー
when i look at it, it is actually quite strange that i am watching an ai pretending to be 2 pubescent girls while reading a script about obscure mathematics in japanese
like its actually quite and odd thing to be happening
This is AI? Dang
@@FireyDeath4 I looked it up online and found out that zundamon is actually from a text to speech software called voicevox (if I remember the name correctly) she's pretty famous in Japan (on niconico at least) so it's safe to say this is not voiced by AI
なんか圏論的な対象ですね
トロピカル化するときって元の式の+と−の区別ってしないんでしたっけ？超離散化だと元の式がマイナスを含まない形で考えるので似て非なるものですね．
11:20のところ、-∞でなく、X〇+X=XでXを答えにしたらダメなの？
It wouldn't make sense to use X as the additive identity because X is not a constant.
@@danielyuan9862 なるほど
定数でないといけないのですね！
ABC理論に応用できる？
No se como termine aqui, pero yo no me quejo
これは、代数幾何？
music name?
Kaeru no piano
Honobono waltz
Caravan
7 da manhã no Brasil e eu aqui
Salve
Assim que é bom
t->∞という発想はなかった、面白い
Good for math and practicing japanese 😊
j'vous aime
enft non
BRASIL HAS BEEN MENTIONED
問題が現れてしまったわwww
本当にわかったのかな
ไม่รู้ว่ามาโผล่ช่องนี้ได้ไง แต่อธิบายคณิตศาสตร์ได้เข้าใจง่ายดีแฮะ
Better than conan
Je n'ai pas compris
The only French sentence I understand (cuz je ne comprends pas Francais)
Wait, I thought they were gonna explain the definitions! I don't understand this!
Then again, ⨂ being defined as + would just make it redundant...
Wait, hold on! It actually is, isn't it? Why? This is so pointless!
Also, I can't believe the Englishmen are forcing absolute foreigners to just randomly talk in Latinisheseanic \(-_-)/
What's the point of speaking one language if you're just gonna have to speak another?
I wish they could just be consistent and say both the expressions and sentences in English, or Japanese...
English mathematical terms themselves come from Latin, Greek, German, Arabic, and Sanskrit.
@@juliavixen176 Well, at least we're not using completely different types of scripts, like the calibre of exotic Asian or African ones. Except for Hebrew, which is kinda weird. Honestly, it's a bit strange to me that they haven't introduced Cyrillic characters yet. And the Japanese people didn't even say these things in their own orthography, like they usually do with loanwords! They actually said things like "eks" and "plus" and "ti"
It’s defining the basics of tropical geometry, which replaces addition with the min function and multiplication with addition
@@wonderstruck. Well yeah... But like, if these signs have the same function as other ones, I don't see why they don't just use the signs that already exist for these things, rather than make up the new ones. I just don't see the point, and it kinda makes it seem more complicated than it actually is
@@FireyDeath4 they’re defining a whole new algebra. Any multiplication we normally do is REPLACED BY addition under these new rules. Tbh I don’t fully understand it but from looking it up you can get some pretty cool results with this kind of math
IUT理論って、根本的にはこういうことで合ってる？
望月新一に聞いてこい
多分かなり違うかな。
@@wigffds7374
なふほど
dafaq
i don't even understand
大物TH-camrが考えた自己流数学じゃないのね
1コメ
問題が現れてしまったわw