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Lecture

Rolle's Theorem Exercise

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Green's function

In mathematics, a Green's function is the impulse response of an inhomogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions. This means that if is the linear differential operator, then the Green's function is the solution of the equation , where is Dirac's delta function; the solution of the initial-value problem is the convolution ().

Lambert W function

In mathematics, the Lambert W function, also called the omega function or product logarithm, is a multivalued function, namely the branches of the converse relation of the function f(w) = wew, where w is any complex number and ew is the exponential function. For each integer k there is one branch, denoted by Wk(z), which is a complex-valued function of one complex argument. W0 is known as the principal branch.

Rolle

Rolle (ʁɔl) is a municipality in the Canton of Vaud in Switzerland. It was the seat of the district of Rolle until 2006, when it became part of the district of Nyon. It is located on the northwestern shore of Lake Geneva (Lac Léman) between Nyon and Lausanne. Rolle is approximately northeast of Geneva (Genève) in the La Côte wine-growing region, and has views of the high Alps. Rolle is also the birthplace of Frédéric-César de la Harpe (1754–1838), who was the tutor of Alexander I of Russia and was largely responsible for the independence of the Canton of Vaud from the Bernese.

Essertines-sur-Rolle

Essertines-sur-Rolle (esɛʁtin syʁ ʁɔl, literally Essertines on Rolle) is a municipality in the district of Nyon in the canton of Vaud in Switzerland. Essertines-sur-Rolle is first mentioned in 1152 as Essartinis. Essertines-sur-Rolle has an area, , of . Of this area, or 70.2% is used for agricultural purposes, while or 22.9% is forested. Of the rest of the land, or 7.6% is settled (buildings or roads). Of the built up area, housing and buildings made up 3.9% and transportation infrastructure made up 2.2%.

Related concepts (24)