Titlebook: Elementary Mathematics from a Higher Standpoint; Volume III: Precisio Felix Klein Book 2016 Springer-Verlag Berlin Heidelberg 2016 Geometry

陈旧

I. Precision Geometry Considerations in Plane Geometrythe most basic definitions needed: .1. The coordinates ., . of a point are numbers according to the modern concept of number, that is, we define them as finite or infinite decimal fractions with a positive or negative sign. .2. A set of such points becomes, if it is infinite, object of a detailed mathematical analysis.

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— Die Dramaturgie der Endlosigkeitof the theoreticians differ considerably from the methods that are effectively used in mathematical applications. Not only does the scientific training of the individual suffer from this discrepancy, but also the standing of this science itself. It seems extremely important to try to counteract the

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https://doi.org/10.1007/978-0-8176-8194-4imate – for each . – its ordinate, slope, and curvature with a sufficient accuracy? Since, to the purpose of approximation, we will not use a complicated function but only functions of a simple analytic type, another question immediately follows the preceding one: .

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https://doi.org/10.1007/978-981-13-0926-7m going to speak now. I observe at first that, as far as I know, we cannot find, in the literature, an easy formula for the .. Yet, it is this series that one uses the most in applications when one is dealing with periodic phenomena that are to be represented as functions of time. I mention here som

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Discrete Time Control of a Mobile Robot,lytic geometry and therefore, in the end, completely to the modern concept of number. If one wants to detach what has been discussed till now from this kind of representation and treat it at a purely geometric level, it is necessary to start with an axiom that corresponds to the introduction of the