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The -lemma, sunflower lemma, and the Erdős-Rado sunflower conjecture give successively weaker conditions which would imply the existence of a large sunflower in a given collection, with the latter being one of the most famous open problems of extremal combinatorics.
The Green's function as used in physics is usually defined with the opposite sign, instead. That is, (,) = (). This definition does not significantly change any of the properties of Green's function due to the evenness of the Dirac delta function.
In mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its properties.This is often written as = or =, where = = is the Laplace operator, [note 1] is the divergence operator (also symbolized "div"), is the gradient operator (also symbolized "grad"), and (,,) is a twice-differentiable real-valued function.
Delta added jet airliners to its fleet in the 1960s; the Douglas DC-8 entered service in September 1959. Delta's new red, white, and blue triangle logo (the "widget") on their aircraft represented the jet's swept wing, as well as the Greek letter delta. [32] Convair 880s were added in 1960 (they set a coast-to-coast record) [33] and in 1965 the ...
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Hyperbolic discounting is mathematically described as = +where g(D) is the discount factor that multiplies the value of the reward, D is the delay in the reward, and k is a parameter governing the degree of discounting (for example, the interest rate).
The calculus of variations may be said to begin with Newton's minimal resistance problem in 1687, followed by the brachistochrone curve problem raised by Johann Bernoulli (1696). [2] It immediately occupied the attention of Jacob Bernoulli and the Marquis de l'Hôpital , but Leonhard Euler first elaborated the subject, beginning in 1733.