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math.HO2016
On the history of the Ulam's Conjugacy
Makar Plakhotnyk
We show the results on the history of the invention of the conjugacy of one-dimensional maps and $g(x)…
math.HO2016
Possibility of the use of Cartesian method in the proofs of fundamental theorems of school planimetry
Makar Plakhotnyk
We show how Cartesian method can be used in the proof of fundamental planimetric topics of the school course, such as introduction of trigonometric functions, equation of a line an…
math.DS2016
Topological conjugation of one dimensional maps
Makar Plakhotnyk
Topological conjugateness of one dimensional unimodal dynamical systems, which are generated by interval [0, 1] into itself maps are studied. We study the smoothness and differenti…