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Scenic. ← LA 3286. → LA 2. Louisiana Highway 1 ( LA 1) is a state highway in Louisiana. At 431.88 miles (695.04 km), it is the longest numbered highway of any class in Louisiana. It runs diagonally across the state, connecting the oil and gas fields near the island of Grand Isle with the northwest corner of the state, north of Shreveport .
Australia ' s Highway 1 is a network of highways that circumnavigate the country, joining all mainland capital cities except the national capital of Canberra.At a total length of approximately 14,500 km (9,000 mi) it is the longest national highway in the world, surpassing the Trans-Siberian Highway (over 11,000 km or 6,800 mi) and the Trans-Canada Highway (8,030 km or 4,990 mi).
The Euclid–Euler theorem is a theorem in number theory that relates perfect numbers to Mersenne primes. It states that an even number is perfect if and only if it has the form 2p−1(2p − 1), where 2p − 1 is a prime number. The theorem is named after mathematicians Euclid and Leonhard Euler, who respectively proved the "if" and "only if ...
Highway 1. Highway 1 ( AR 1, Ark. 1, and Hwy. 1) is a north–south state highway in east Arkansas. The route of 159.88 miles (257.30 km) runs from US Route 278 (US 278) in McGehee north to Supplemental Route BB at the Missouri state line. [2] One of the original 1926 state highways, Highway 1 has remained very close to its original routing. [3]
Euler's first law states that the rate of change of linear momentum p of a rigid body is equal to the resultant of all the external forces Fext acting on the body: [2] Internal forces between the particles that make up a body do not contribute to changing the momentum of the body as there is an equal and opposite force resulting in no net effect.
Euler's totient function is a multiplicative function, meaning that if two numbers m and n are relatively prime, then φ(mn) = φ(m)φ(n). [4] [5] This function gives the order of the multiplicative group of integers modulo n (the group of units of the ring ). [6] It is also used for defining the RSA encryption system .
Euler numbers. In mathematics, the Euler numbers are a sequence En of integers (sequence A122045 in the OEIS) defined by the Taylor series expansion. where is the hyperbolic cosine function. The Euler numbers are related to a special value of the Euler polynomials, namely: The Euler numbers appear in the Taylor series expansions of the secant ...
Euler's critical load or Euler's buckling load is the compressive load at which a slender column will suddenly bend or buckle. It is given by the formula: [1] where. P c r {\displaystyle P_ {cr}} , Euler's critical load (longitudinal compression load on column), E {\displaystyle E} , Young's modulus of the column material, I {\displaystyle I ...
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