In this paper, we study an iteration in defined by a diffeomorphism polynomial bounded. Semi invariant curves tend to curves with parametric Weierstrass-Mandelbrot's functions. So, self-similarity and fractal dimension are justified. We apply these results to partial differential calculus. On étudie une itération de Rd dans Rd définie par un difféomorphisme polynomial borné. On montre que les courbes semi invariantes tendent asymptotiquement vers des courbes paramétrées par des fonctions de Weierstrass. Cela justifie les calculs d'échelle d'autosimilarité et de dimension fractale comme le pratiquent des praticiens à partir d'intuitions pertinentes sur des itérations chaotiques. On applique ces résultats au calcul différentiel.
The global cobalt supply chain is more interconnected—and more vulnerable—than previously thought, with disruptions capable of triggering far-reaching cascades across multiple countries and industries。 Researchers warn that protecting battery supply chains will require system-wide coordination because critical bottlenecks can turn local shocks into
Researchers found that a Chinese sodium-ion battery performs far better than expected, with production quality and design features comparable to Tesla’s batteries。 If engineers can improve cold-weather charging and energy density, sodium could become a cheaper and more abundant alternative to lithium for EVs and large-scale energy storage
The discovery underscores the increased effort being poured into Mac infostealers
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Physicists have developed a new optical centrifuge that can precisely spin molecules inside a superfluid for the first time。 The advance could help unravel some of the biggest mysteries of quantum liquids and reveal how superfluidity breaks down at the atomic scale
SETI scientists searched the interstellar object 3I/ATLAS for radio signals that could indicate extraterrestrial technology but found nothing beyond human-made interference。 Even so, the rapid-response observations helped confirm the object's natural origin and showcased how future interstellar visitors can be investigated for signs of intelligent
Move affects ~20% of the gaming division, which will refocus on its biggest franchises
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