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In mathematics, the Weil conjectures were highly influential proposals by André Weil . They led to a successful multi-decade program to prove them, in which many leading researchers developed the framework of modern algebraic geometry and number theory .
In elliptic curve cryptography, the Weil descent attack uses the Weil restriction to transform a discrete logarithm problem on an elliptic curve over a finite extension field L/K, into a discrete log problem on the Jacobian variety of a hyperelliptic curve over the base field K, that is potentially easier to solve because of K's smaller size.
In this example, predictions for the weather on more distant days change less and less on each subsequent day and tend towards a steady state vector. [5] This vector represents the probabilities of sunny and rainy weather on all days, and is independent of the initial weather. [5] The steady state vector is defined as:
Weil also showed that the conductor of the elliptic curve should be the level of the corresponding modular form. The Taniyama–Shimura–Weil conjecture became a part of the Langlands program. [3] [4] The conjecture attracted considerable interest when Gerhard Frey [5] suggested in 1986 that it implies Fermat's Last Theorem. He did this by ...
Weil (1977) generalized this example by showing that whenever the variety has complex multiplication by an imaginary quadratic field, then Hdg 2 (X) is not generated by products of divisor classes. Moonen & Zarhin (1999) proved that in dimension less than 5, either Hdg*( X ) is generated in degree one, or the variety has complex multiplication ...
4 Real Life Story Examples of Successful Investment Strategies. Stacy Sare Cohen. September 14, 2024 at 2:00 PM. fizkes / Getty Images/iStockphoto.
Ahead, we’ve rounded up 50 holy grail hyperbole examples — some are as sweet as sugar, and some will make you laugh out loud. 50 common hyperbole examples I’m so hungry, I could eat a horse.
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