dragonfly steam camp

[matharium @matharium]

A string fixed at both ends vibrates in standing waves sin(nπx/L), with frequencies fₙ = n·f₁ = (n/2L)√(T/μ).

On the A string, f₁ = 110 Hz, the first eight are A2, A3, E4, A4, C#5, E5, G5, A5. Six sit within 2 cents of a piano key; the 5th is 14 cents flat and the 7th, 770 Hz, is 31 cents flat of G5.

A pluck at p = 1/5 is the sum of all modes with bₙ = 2h sin(nπp)/(n²π²p(1−p)). Since sin(π) = 0, it has no 5th harmonic.

[Deliriumm @0xDeliriumm]

richard feynman once said "nature uses only the longest threads to weave her patterns, so each small piece of her fabric reveals the organization of the entire tapestry" - he died in 1988 not knowing he had already written the mathematical foundation of GPT-4

the researchers who understood that LLMs and physics share the same equation built the $4.6T industry everyone else is now trying to enter. this technical note explains the connection - and most people will scroll past it.

a new independent paper dropped this month with one claim: AI and physics are literally the same equation. not metaphorically. the same math, the same dynamics, the same convergence behavior - just different variables.

physics: dx/dt = -∇E(x). machine learning: θ(t+1) = θt - η∇L(θ). different symbols. identical structure. both systems evolve toward minimum states following gradient-based dynamics in high-dimensional spaces.

the convergence curves match a power-law decay t^(-α) across 10,000+ training steps. physical simulation and LLM loss follow the same line. the document proves this empirically, not theoretically.

the empirical parallels table is what makes this real - phase transition in physics maps to emergent reasoning in LLMs, critical scaling maps to capability scaling, symmetry breaking maps to specialized behaviors, energy barriers map to local minima.

the Lagrangian S = ∫L dt. the Schrodinger equation iħ(∂ψ/∂t) = -(ħ²/2m)∇²ψ. the ML optimization θ* = argmin L(θ). three equations from three different centuries. one underlying process.

what this means practically: tools from statistical mechanics and dynamical systems can be applied directly to improve LLM training efficiency. the people building next-gen architectures are not reading AI papers. they're reading physics journals from the 1970s.

DeepMind already has 40+ physicists on staff, not as consultants, as core researchers. the companies that understand this first will build models fundamentally cheaper and more capable than anything trained on ML intuition alone.

feynman mapped the landscape. we're just now learning to walk it.

Bookmark & watch today.

Nature and intelligence have the same loss function.

[Tz @Tz_2022]

看《哥德尔、艾舍尔、巴赫：集异璧之大成》一书的时候，我就有这种强烈的感觉：

在所有艺术形式中，音乐是最接近数学之美的，旋律中的重复、变化和结构，其实就是数学特定规律的一种可视化（可听化）表达。。。

这个视频就是一个例证：它把贝多芬的《致爱丽丝》映射成为了马尔科夫链的图论概率表达式。。。

[Space and Technology @spaceandtech_]

Meet Morpho, a unique inspection drone developed by Elythor, an EPFL spinoff company.

It uses wind and adaptive wings to extend flight time and enable vertical and horizontal flight.

It can inspect power plants, power lines, turbines, pipelines, and offshore platforms.

[dragonfly steam camp @gridvisi]

https://t.co/lLfNu5y9wk

[Jyotirmai Singh @SinghJyotirmai]

New paper! Designing quantum circuits using Lie group diffusion models: https://t.co/dLztSi2lGE

Instead of doing just boring normal diffusion, I encode the physical structure of quantum gates, which live in the Lie group SU(2), by doing diffusion natively on SU(2)!

I also show how this produces diverse circuits for interesting Hamiltonians like the Transverse-Field Ising Model (TFIM) and the Heisenberg-XXZ Model.

Crucially, the generated circuits are subject to realistic hardware constraints from actual quantum processors so that they're not just AI slop. 🧵

[Fred King @ekanscisum]

Fred King: Quantum vs. Bitcoin: Three Possible Futures | BTC Prague 2026
https://t.co/th8rfquPEA

[Matheorems @matheorems]

The Helmholtz decomposition theorem states that any sufficiently smooth rapidly decaying vector field can be uniquely resolved into the sum of a divergence-free rotational solenoidal component F_curl obeying ∇ · F_curl = 0 and a curl-free irrotational gradient component F_div obeying ∇ × F_div = 0.

[THIERRY D "ardéchois et français" @ThierryTout]

🇮🇹🏛️
La prochaine fois que vous irez à Rome, il vous faudra impérativement visiter la salle Mariano Rossi, située dans la Galerie Borghese.
Croyez-moi, elle est tellement magnifique qu'elle doit être vue au minimum une fois sans sa vie...👍🤩
(🎥Ensar Karaca/IG)

[Kou @koutopo]

俳優ゲイリー・オールドマンのインタビュー。

「必ずしも悪人らしくということじゃなくて、凄みを出したいなら、まず顔を上げる。目線はまだ上げない。それから最後に目を上げる。」

強さや凄みを出したいとき、頭と目を同時に相手へ向ける必要はない。
先に頭部を動かし、身体の方向性を作る。そのあと一拍遅れて相手に視線を合わせる。

頭部姿勢そのものがdominance（身体的支配性・社会的支配性）の知覚を変えるを変化させるというのは何かの研究で見た覚えがあるから、なるほど、むむむと言った感じです。改めて探してみよう。

直接視線は、観察者の注意を捕捉し、自分が見られているという自己関連的な情報として処理されやすい。また、直接視線は支配性評価や接近的な感情表現、とくに怒りの知覚を強める。こういうことかな。

「頭→目」という時間差の動きは、最後の視線をより強い社会的イベントとして成立させる可能性があるということかもしれませんね。

[🌺 LOVE MUSIC 🎼 AND MOVIES 🎬 @DBichhang10958]

“KING CREOLE” — ELVIS AT HIS MOST POWERFUL. 👑🎙️

[FaunaNatural @FaunaNatural]

Vida en el océano 😍🌊🕊️🧡

[Mizz Moody 🌪🌪 🏴‍☠️ @overit_miss]

Id like to meet the ppl who live here lol ive questions 👀

[phai tot @phaitot28]

So beautiful🥰🌹🪻🌺🌿

[𝐌𝐮𝐬𝐢𝐜 - 𝐌𝐨𝐯𝐢𝐞 - 𝐀𝐧𝐝 𝐌𝐨𝐫𝐞⭐️❤️ @NgocThach74]

❤️I'm speechless! This version is amazing!

[The Figen @TheFigen_]

It is called "The Interstellar Experience" by Tony Ann.

[MollySIM @mollysim26]

美国 T-Mobile 实体电话卡 · 官方正品全球直邮

· $3/月 超低资费长期保号
· 原生美国 +1 手机号，各大银行、券商及美区账号绑定首选
· 开启 WiFi-Calling 在国内无漫游费接收短信与通话
· 实体电话卡即插即用，支持官方 App 转 eSIM

立即前往官方选购：https://t.co/LhKCoXukt美国 T-Mobile 实体电话卡 · 官方正品全球直邮

· $3/月 超低资费长期保号
· 原生美国 +1 手机号，各大银行、券商及美区账号绑定首选
· 开启 WiFi-Calling 在国内无漫游费接收短信与通话
· 实体电话卡即插即用，支持官方 App 转 eSIM

立即前往官方选购：https://t.co/LhKCoXukt美国 T-Mobile 实体电话卡 · 官方正品全球直邮

· $3/月 超低资费长期保号
· 原生美国 +1 手机号，各大银行、券商及美区账号绑定首选
· 开启 WiFi-Calling 在国内无漫游费接收短信与通话
· 实体电话卡即插即用，支持官方 App 转 eSIM

立即前往官方选购：https://t.co/LhKCoXukt美国 T-Mobile 实体电话卡 · 官方正品全球直邮

· $3/月 超低资费长期保号
· 原生美国 +1 手机号，各大银行、券商及美区账号绑定首选
· 开启 WiFi-Calling 在国内无漫游费接收短信与通话
· 实体电话卡即插即用，支持官方 App 转 eSIM

立即前往官方选购：https://t.co/LhKCoXuktY

[nerea @nereasolenne]

GOOGLE HA SOLTADO ALGO QUE NADIE ESPERABA.

Un tutorial de 8 minutos sobre cómo construir tus primeros agentes de IA.

[JLCCNC @JLCCNC_Official]

Built something cool lately?

Even if you don't have a project ready yet, grab a $20 coupon for CNC machining and save it for your next project. No minimum spend required!

Click to claim yours.

[Söz Dünyası @1alemikelam]

Charles Bukowski'nin dedigi gibi;

"Kendini değiştirmeyi bırak. Sen yanlış değilsin, sadece ait olmadığın yerdesin."