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  2. Ti-6Al-4V - Wikipedia

    en.wikipedia.org/wiki/Ti-6Al-4V

    Ti-6Al-4V. Ti-6Al-4V (UNS designation R56400), also sometimes called TC4, Ti64, [1] or ASTM Grade 5, is an alpha-beta titanium alloy with a high specific strength and excellent corrosion resistance. It is one of the most commonly used titanium alloys and is applied in a wide range of applications where low density and excellent corrosion ...

  3. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...

  4. Quadratic residue - Wikipedia

    en.wikipedia.org/wiki/Quadratic_residue

    Let p be an odd prime. The quadratic excess E (p) is the number of quadratic residues on the range (0, p /2) minus the number in the range (p /2, p) (sequence A178153 in the OEIS). For p congruent to 1 mod 4, the excess is zero, since −1 is a quadratic residue and the residues are symmetric under r ↔ p − r.

  5. Legendre symbol - Wikipedia

    en.wikipedia.org/wiki/Legendre_symbol

    In number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo of an odd prime number p: its value at a (nonzero) quadratic residue mod p is 1 and at a non-quadratic residue (non-residue) is −1. Its value at zero is 0. The Legendre symbol was introduced by Adrien-Marie Legendre ...

  6. Quadratic reciprocity - Wikipedia

    en.wikipedia.org/wiki/Quadratic_reciprocity

    5 is in rows 11, 19, 29, 31, and 41 but not in rows 3, 7, 13, 17, 23, 37, 43, or 47. The former are ≡ ±1 (mod 5) and the latter are ≡ ±2 (mod 5). Since the only residues (mod 5) are ±1, we see that 5 is a quadratic residue modulo every prime which is a residue modulo 5.

  7. Covering system - Wikipedia

    en.wikipedia.org/wiki/Covering_system

    The notion of covering system was introduced by Paul Erdős in the early 1930s. The following are examples of covering systems: A covering system is called disjoint (or exact) if no two members overlap. A covering system is called distinct (or incongruent) if all the moduli are different (and bigger than 1). Hough and Nielsen (2019) [1] proved ...

  8. W80 (nuclear warhead) - Wikipedia

    en.wikipedia.org/wiki/W80_(nuclear_warhead)

    W80 Mod 4 warhead for the LRSO program. The W80 is a low to intermediate yield two-stage thermonuclear warhead deployed by the U.S. enduring stockpile with a variable yield ("dial-a-yield") of 5 or 150 kilotonnes of TNT (21 or 628 TJ). It was designed for deployment on cruise missiles and is the warhead used in all nuclear-armed ALCM and ACM ...

  9. Math wars - Wikipedia

    en.wikipedia.org/wiki/Math_wars

    The largest supporter of reform in the US has been the National Council of Teachers of Mathematics. [4]One aspect of the debate is over how explicitly children must be taught skills based on formulas or algorithms (fixed, step-by-step procedures for solving math problems) versus a more inquiry-based approach in which students are exposed to real-world problems that help them develop fluency in ...

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