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While the first Formula One race was the 1947 Pau Grand Prix, the 1950 British Grand Prix was the first Grand Prix of the new World Championship of Drivers. Four non-championship races were held all across Europe in 1950 prior to the Grand Prix: Juan Manuel Fangio won the races in Pau and San Remo , Reg Parnell won in Douglas , and Georges ...
Kimberley Grand Prix Data Book: Formula 1 Racing Facts and Figures 1950 to Date. Sparkford, England: Haynes Publishing. ISBN 0-946132-63-1 – via Open Library. Hughes, Mark; Tremayne, David (2002). The Concise Encyclopedia of Formula 1. Bath, England: Parragon. ISBN 0-75258-766-8 – via Open Library. White, John (2008) [2007].
The 1994 Australian Grand Prix (formally the LIX Adelaide Australian Grand Prix) was a Formula One motor race held on 13 November 1994 at the Adelaide Street Circuit. It was the sixteenth and final race of the 1994 Formula One World Championship. The 81-lap race was won by Nigel Mansell driving for the Williams team after starting from pole ...
To establish whether a form h(x) is SOS amounts to solving a convex optimization problem. Indeed, any h(x) can be written as = {} ′ (+ ()) {} where {} is a vector containing a base for the forms of degree m in x (such as all monomials of degree m in x), the prime ′ denotes the transpose, H is any symmetric matrix satisfying = {} ′ {} and () is a linear parameterization of the linear ...
If α is the zero function and u is non-negative, then Grönwall's inequality implies that u is the zero function. The integrability of u with respect to μ is essential for the result. For a counterexample, let μ denote Lebesgue measure on the unit interval [0, 1], define u(0) = 0 and u(t) = 1/t for t ∈ (0, 1], and let α be the zero function.
In matrix theory, Sylvester's formula or Sylvester's matrix theorem (named after J. J. Sylvester) or Lagrange−Sylvester interpolation expresses an analytic function f(A) of a matrix A as a polynomial in A, in terms of the eigenvalues and eigenvectors of A. [1] [2] It states that [3]
The 1984 Dallas Grand Prix was conceived as a way to demonstrate Dallas's status as a "world-class city". [1] [2] The Formula One (F1) race took place on July 8, 1984 on a temporary street circuit in Fair Park, despite pre-race organizational problems, intense 100 °F (38 °C) heat, and poor track conditions including pavement failures.
It was the only running of the Dallas Grand Prix as a Formula One race, and the ninth race of the 1984 Formula One World Championship. The 67-lap race was held in very hot weather on a disintegrating track, and was won by Finnish driver Keke Rosberg , driving a Williams - Honda , with Frenchman René Arnoux second in a Ferrari and Italian Elio ...