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4 hours ago · The simplest form of finite difference approximation (Euler’s method) will supply a credible portrait of its flight on graph paper if we choose the grid size small enough. However, the total energy of our ball will be conserved over the course of the flight, which suggests that we might alternatively employ modeling equations that exploit this fact, dx/dt = c; ½ mdy/dt + gmy = E 0 (call ...
1 day ago · Mathematical functions. The lemniscate sine (red) and lemniscate cosine (purple) applied to a real argument, in comparison with the trigonometric sine y= sin(πx/ϖ)(pale dashed red). In mathematics, the lemniscate elliptic functionsare elliptic functionsrelated to the arc length of the lemniscate of Bernoulli.
1 day ago · Richard Phillips Feynman (/ ˈ f aɪ n m ə n /; May 11, 1918 – February 15, 1988) was an American theoretical physicist.He is known for the work he did in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the physics of the superfluidity of supercooled liquid helium, and in particle physics, for which he proposed the parton model.
4 hours ago · In mathematics, especially in combinatorics, Stirling numbers of the first kind arise in the study of permutations. In particular, the unsigned Stirling numbers of the first kind count permutations according to their number of cycles (counting fixed points as cycles of length one). [1]
4 hours ago · The classical Kepler motion is the model depicting the revolution of planets around the Sun, or the revolution of the electrons around the nucleus, within the framework of classical dynamics. The image is usually rendered with reference to material points taken as pure positions, and can be dynamically explained with the help of Newtonian ...
Oct 16, 2024 · Numerical experiments demonstrate the efficacy of our approach for generating high-dimensional images without the need of autoencoders or specialized architectures for the normalizing flow. Our work demonstrates how ideas from the analysis of multi-agent systems contribute to the design and understanding of generative flows.
1 day ago · The physical phenomenon was explained by Rutherford in a classic 1911 paper that eventually lead to the widespread use of scattering in particle physics to study subatomic matter. Rutherford scattering or Coulomb scattering is the elastic scattering of charged particles by the Coulomb interaction.
