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m and n are coprime (also called relatively prime) if gcd(m, n) = 1 (meaning they have no common prime factor). lcm(m, n) (least common multiple of m and n) is the product of all prime factors of m or n (with the largest multiplicity for m or n). gcd(m, n) × lcm(m, n) = m × n. Finding the prime factors is often harder than computing gcd and ...
4.5 Tm – 30.1 au – average distance between Neptune and the Sun; 4.5 Tm – 30.1 au – inner radius of the Kuiper belt; 5.7 Tm – 38.1 au – perihelion distance of Eris; 6.0 Tm – 40.5 au – distance from Earth at which the Pale Blue Dot photograph was taken. 7.3 Tm – 48.8 au – aphelion distance of Pluto
The elements 2 and 1 + √ −3 are two maximal common divisors (that is, any common divisor which is a multiple of 2 is associated to 2, the same holds for 1 + √ −3, but they are not associated, so there is no greatest common divisor of a and b.
Finally, dividing r 0 (x) by r 1 (x) yields a zero remainder, indicating that r 1 (x) is the greatest common divisor polynomial of a(x) and b(x), consistent with their factorization. Many of the applications described above for integers carry over to polynomials. [ 139 ]
≡ 1 ⁄ 400 of a revolution ≡ π ⁄ 200 rad ≡ 0.9° ≈ 15.707 963 × 10 −3 rad: octant: ≡ 45° ≈ 0.785 398 rad: quadrant: ≡ 90° ≈ 1.570 796 rad: radian (SI unit) rad The angle subtended at the center of a circle by an arc whose length is equal to the circle's radius. One full revolution encompasses 2π radians. = 1 rad ...
A near-Earth object (NEO) is any small Solar System body orbiting the Sun whose closest approach to the Sun is less than 1.3 times the Earth–Sun distance (astronomical unit, AU). [2] This definition applies to the object's orbit around the Sun, rather than its current position, thus an object with such an orbit is considered an NEO even at ...
90° at the subsolar point, which occurs, for example, at the equator on a day of equinox at solar noon; near 0° at the sunset or at the sunrise; between −90° and 0° during the night (midnight) An exact calculation is given in position of the Sun. Other approximations exist elsewhere. [6]
The observed 0.1% irradiance increase imparts 0.22 W/m 2 climate forcing, which suggests a transient climate response of 0.6 °C per W/m 2. This response is larger by a factor of 2 or more than in the IPCC-assessed 2008 models, possibly appearing in the models' heat uptake by the ocean. [32]