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Vieta's formulas relate the polynomial coefficients to signed sums of products of the roots r1, r2, ..., rn as follows: Vieta's formulas can equivalently be written as for k = 1, 2, ..., n (the indices ik are sorted in increasing order to ensure each product of k roots is used exactly once). The left-hand sides of Vieta's formulas are the ...
Gravitational acceleration. In physics, gravitational acceleration is the acceleration of an object in free fall within a vacuum (and thus without experiencing drag ). This is the steady gain in speed caused exclusively by gravitational attraction. All bodies accelerate in vacuum at the same rate, regardless of the masses or compositions of the ...
Equations for a falling body. A set of equations describing the trajectories of objects subject to a constant gravitational force under normal Earth -bound conditions. Assuming constant acceleration g due to Earth’s gravity, Newton's law of universal gravitation simplifies to F = mg, where F is the force exerted on a mass m by the Earth’s ...
Rustavi 2 ( Georgian: რუსთავი 2, romanized: rustavi 2, "Rustavi ori") is a Georgian free-to-air television channel based in Tbilisi, that was founded in 1994 in the town of Rustavi (hence its name). It is an associate member of the European Broadcasting Union. Its news service has bureaus and regional reporters in major Georgian ...
t. e. Newton's law of universal gravitation says that every particle attracts every other particle in the universe with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Separated objects attract and are attracted as if all their mass were concentrated at ...
Formula One Grand Prix winners. Seven-time World Drivers' Champion Michael Schumacher held the record for the most Grand Prix victories with 91, before being surpassed by Lewis Hamilton in 2020. Sebastian Vettel currently has four consecutive titles to his name, winning them all with Red Bull Racing.
mathematical constant π. 3.14159 26535 89793 23846 26433... The following is a list of significant formulae involving the mathematical constant π. Many of these formulae can be found in the article Pi, or the article Approximations of π .
Chebyshev–Gauss quadrature. In numerical analysis Chebyshev–Gauss quadrature is an extension of Gaussian quadrature method for approximating the value of integrals of the following kind: and. {\displaystyle \int _ {-1}^ {+1} {\sqrt {1-x^ {2}}}g (x)\,dx.} In the first case. where.