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  1. 1 day ago · Noether's theorem states that every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law.This is the first of two theorems (see Noether's second theorem) proven by mathematician Emmy Noether in 1915 and published in 1918.

  2. en.wikipedia.org › wiki › Chaos_theoryChaos theory - Wikipedia

    1 day ago · Lorenz equations used to generate plots for the y variable. The initial conditions for x and z were kept the same but those for y were changed between 1.001, 1.0001 and 1.00001. The values for , and were 45.91, 16 and 4 respectively. As can be seen from the graph, even the slightest difference in initial values causes significant changes after ...

  3. en.wikipedia.org › wiki › ArchimedesArchimedes - Wikipedia

    1 day ago · There are two books to On the Equilibrium of Planes: the first contains seven postulates and fifteen propositions, while the second book contains ten propositions. In the first book, Archimedes proves the law of the lever, which states that: Magnitudes are in equilibrium at distances reciprocally proportional to their weights.

  4. 29 minutes ago · Today, earthquake engineering (EEng) (Wyss, 2014) has become a critical area of study that seeks to mitigate the effects of earthquakes on structures and infrastructure.. At the same time, the analysis and prediction of earthquakes (Asim et al., 2018) proves to be an important endeavor today, as the complex city’s environment is evolving towards the integration of more features for ...

  5. 29 minutes ago · A Post–Turing machine is a "program formulation" of a type of Turing machine, comprising a variant of Emil Post's Turing-equivalent model of computation.Post's model and Turing's model, though very similar to one another, were developed independently.

  6. 1 day ago · The Aristotelian physics of the time (modern Newtonian physics was still a century away) offered no physical explanation for the motion of a massive body like Earth, whereas it could easily explain the motion of heavenly bodies by postulating that they were made of a different sort substance called aether that moved naturally. So Tycho said ...

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  8. 1 day ago · The observable universe is a ball-shaped region of the universe consisting of all matter that can be observed from Earth or its space-based telescopes and exploratory probes at the present time; the electromagnetic radiation from these objects has had time to reach the Solar System and Earth since the beginning of the cosmological expansion.

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