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Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study ...
for each A ∈ SL(2, C), and this action of SL(2, C) preserves the determinant of X because det A = 1. Since the determinant of X is identified with the quadratic form Q, SL(2, C) acts by Lorentz transformations. On dimensional grounds, SL(2, C) covers a neighborhood of the identity of SO(1, 3).
The number e is a mathematical constant approximately equal to 2.71828 that is the base of the natural logarithm and exponential function.It is sometimes called Euler's number, after the Swiss mathematician Leonhard Euler, though this can invite confusion with Euler numbers, or with Euler's constant, a different constant typically denoted .
On its current track, the storm threatens to dump as much as 1 to 2 inches of rain on the islands while rainfall totals on the eastern side of Big Island and Maui could reach 2 to 4 inches, ...
During its war with Ukraine, Russia has enhanced its already sophisticated electronic-warfare capabilities, enabling it to remotely scramble the GPS coordinates used to guide missiles and drones ...
One of the last messages sent from the doomed Titan submersible during its June 2023 voyage to the Titanic wreckage was "all good here," according to a presentation from a U.S. Coast Guard hearing ...
VEI. 5. Impact. Buried the Roman settlements of Pompeii, Herculaneum, Oplontis, and Stabiae. Deaths. 1,500–3,500, possibly up to 16,000 [1][note 1] Of the many eruptions of Mount Vesuvius, a major stratovolcano in Southern Italy, the best-known is its eruption in 79 AD, [2][3] which was one of the deadliest in history.
The Last of Us Part II is a 2020 action-adventure game developed by Naughty Dog and published by Sony Interactive Entertainment.Set four years after The Last of Us (2013), the game focuses on two playable characters in a post-apocalyptic United States whose lives intertwine: Ellie, who sets out in revenge for a murder, and Abby, a soldier who becomes involved in a conflict between her militia ...