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The derivative of a function: definition and geometric interpretation

The derivative of a function: definition and geometric interpretation

by M4t_6_onL | May 9, 2022 | Functions, Geometry

The derivative of a function is its instantaneous variation, i.e. the slope of the tangent to the graphical representation of the function at that point. 1. General idea: an instantaneous variation We place ourselves here in the framework of functions of a real...
Drawing a circle on the plane: equation and parameters

Drawing a circle on the plane: equation and parameters

by M4t_6_onL | Jan 28, 2022 | Functions, Geometry

The definition of a circle is simple: it is a set of points located at the same distance from a given point. This distance is called the radius and this point is called the centre of the circle. The circle with centre \((-1,-3/2)\) and radius \(\sqrt 6\) 1. Circles as...
Finiteness and Mathematical Infinity : Comparing and Enumerating

Finiteness and Mathematical Infinity : Comparing and Enumerating

by M4t_6_onL | Jul 17, 2021 | Functions, Set theory

A finite set is a set that can be counted using the natural numbers \(1,\ldots,n\) for a certain natural number \(n\). But what is counting ? And then, what is an infinite set? 1.Comparing sets : the notion of bijection The notions of finite set and infinite set, and...

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