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A great city was built 1000 years ago in the Numerian rainforest, until a monster named Mathra invaded. After Mathra was captured, the Numerians abandoned their city and sealed the entrance and hid the two halves of the key in the far corners of the rainforest - one in the Monkey Kingdom and the latter in the Goo Lagoon.
JumpStart Adventures 3rd Grade: Mystery Mountain is a personal computer game in Knowledge Adventure's JumpStart series of educational software. As the title suggests, the game is intended to teach a third grade curriculum. This is the only version of this game created and, unusually for Knowledge Adventure, was still being sold over fifteen ...
Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
Arnold's cat map is a particularly well-known example of a hyperbolic toral automorphism, which is an automorphism of a torus given by a square unimodular matrix having no eigenvalues of absolute value 1. [3] The set of the points with a periodic orbit is dense on the torus. Actually a point is periodic if and only if its coordinates are rational.
Map of Königsberg in Euler's time showing the actual layout of the seven bridges, highlighting the river Pregel and the bridges. The Seven Bridges of Königsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler, in 1736, [1] laid the foundations of graph theory and prefigured the idea of topology. [2]
The story, credited fictionally as a quotation from "Suárez Miranda, Viajes de varones prudentes, Libro IV, Cap. XLV, Lérida, 1658", describes an empire where cartography becomes so exact that only a map on the same scale as the empire itself will suffice. Later generations come to disregard the map, however, and as it decays, so does the ...
In the stamp folding problem, the paper is a strip of stamps with creases between them, and the folds must lie on the creases. In the map folding problem, the paper is a map, divided by creases into rectangles, and the folds must again lie only along these creases. Lucas (1891) credits the invention of the stamp folding problem to Émile ...
This is the set of continuity points x of the function g(·) for which it is possible to find, within the δ-neighborhood of x, a point which maps outside the ε-neighborhood of g(x). By definition of continuity, this set shrinks as δ goes to zero, so that lim δ → 0 B δ = ∅. Now suppose that |g(X) − g(X n)| > ε.
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