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Graph of tent map function Example of iterating the initial condition x 0 = 0.4 over the tent map with μ = 1.9. In mathematics, the tent map with parameter μ is the real-valued function f μ defined by ():= {,}, the name being due to the tent-like shape of the graph of f μ.
The Cassini Map or Academy's Map is the first topographic and geometric map made of the Kingdom of France as a whole. It was compiled by the Cassini family, mainly César-François Cassini (Cassini III) and his son Jean-Dominique Cassini (Cassini IV) in the 1700s.
f = f 1, f 2, f 3,... of φ where f n is obtained from f n−1 by several moves, specifically chosen. In this sequence, if f n is not a train track map, then the moves producing f n+1 from f n necessarily involve a sequence of folds followed by a valence-one homotopy, so that the Perron–Frobenius eigenvalue of f n+1 is strictly smaller than ...
An RR tachograph is a graph of the numerical value of the RR-interval versus time. In the context of RR tachography, a Poincaré plot is a graph of RR(n) on the x-axis versus RR(n + 1) (the succeeding RR interval) on the y-axis, i.e. one takes a sequence of intervals and plots each interval against the following interval. [3]
In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior. Maps may be parameterized by a discrete-time or a continuous-time parameter. Maps may be parameterized by a discrete-time or a continuous-time parameter.
Homann died in Nuremberg in 1724. He was succeeded by his son Johann Christoph (1703–1730). The company carried on upon his death as Homann heirs company, managed by Johann Michael Franz and Johann Georg Ebersberger. After subsequent changes in management the company folded in 1852. [1]
Fermat's theorem is central to the calculus method of determining maxima and minima: in one dimension, one can find extrema by simply computing the stationary points (by computing the zeros of the derivative), the non-differentiable points, and the boundary points, and then investigating this set to determine the extrema.
In mathematics, a contraction mapping, or contraction or contractor, on a metric space (M, d) is a function f from M to itself, with the property that there is some real number < such that for all x and y in M,