Lmst

Une #IA #AI de #Google résout un #problème #mathématique réputé #impossible

Une nouvelle #famille de #singularités des équations de #́Navier-Stokes a émergé, confirmée ensuite par des #mathématiciens de #NewYork #University et #Stanford.

L' #IA devient co-auteur

https://www.cointribune.com/une-ia-de-google-resout-un-probleme-mathematique-repute-impossible/

🌘 基本的 Hamiltonian 表述 of the Navier–Stokes 問題 | 流體力學期刊 | 劍橋核心
➤ 一個對 Navier-Stokes 問題的 Hamiltonian 表述
✤ https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/canonical-hamiltonian-formulation-of-the-navierstokes-problem/B3EB9389AE700867A6A3EA63A45E69C6
本文提出了基於最小作用原理導出的最小平方法的漂移 Navier-Stokes 問題的新穎 Hamiltonian 表述。這個表述使用速度 $𝑢_{𝑖}(𝑥_{𝑗},𝑡)$ 和壓力 $𝑝(𝑥_{𝑗},𝑡)$ 作為需要變動的場量，以及從分析中得出的正則共軛動量。從這些場量構造出一個滿足 Hamilton 正則方程的守恆 Hamiltonian 泛函 $H^{*}$，並為壓縮
#流體力學 #Hamiltonian 表述 #Navier-Stokes 問題

Credo sia applicabile sia alla #congettura di #Riemann che, tramite il ragionamento sui punti all'infinito delle curve ellittiche, anche alla congettura di #Birch e #Swinnerton-#Dyer.

Forse se è possibile costruire una curva ellittica e considerare il #segmento #vettore della #velocità che giace sulla retta che contiene il punto all'infinito della curva ellittica anche alle equazioni di #Navier-#Stokes è possibile applicare il ragionamento.

https://lnkd.in/dhjnJN5X

🇪🇺 Top #European Launch Companies of 📆 2023

• #ArianeGroup - Love em or hate em, ArianeGroup remains, for now, the dominant force in the European launch industry
• #PLDSpace - successfully launched the first flight of its suborbital #Miura1
• #Avio - partially successful orbital launch aboard a #Vega rocket
• #IsarAerospace - completed a total of 124 hot fire tests of its Aquila engine
• #RocketFactory Augsburg - relying on the timely completion of #SaxaVord to conduct its maiden flight
• #HyImpulse - #SaxaVord was not ready to host the launch
• #MaiaSpace - first successful hot fire test of a #Prometheus engine
• #Latitude - hot fire test campaign of its #Navier engine
• #Orbex - journey to build its own launch facility officially kicked off in May
• #BayernChemie - #RedKite rocket launched from #Andoya