Algebraic curves | Plane curves

Folium of Descartes

In geometry, the folium of Descartes (from Latin folium 'leaf'; named for RenΓ© Decartes) is an algebraic curve defined by the implicit equation (Wikipedia).

Folium of Descartes
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Calculus on a cubic: the folium of Descartes | Arithmetic and Geometry Math Foundations 79

We investigate the Folium of Descartes, viewing it both as a cubic curve in the plane, and as a surface in three dimensional space. This is an extended exercise in algebraic calculus. We parametrize it, calculate Taylor polynumbers and expansions and tangents, and interpret them both as t

From playlist Math Foundations

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Curves in Modern Times | Algebraic Calculus One | Wild Egg

This video introduces some key objects, and also challenges, when we move beyond the Greek tradition to the more modern view of "curves". This rests crucially on the development of analytic geometry, or Cartesian coordinates, by Fermat and Descartes in the 17th century. They, along with Jo

From playlist Algebraic Calculus One from Wild Egg

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Applying descartes rule of signs to determine the number or real positive & negative zeros

πŸ‘‰ Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number

From playlist How to Use Descartes Rules of Signs

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Parametrized curves and algebraic curves | Differential Geometry 3 | NJ Wildberger

This lecture discusses parametrization of curves. We start with the case of conics, going back to the ancient Greeks, and then move to more general algebraic curves, in particular Fermat's cubic, the Folium of Descartes and the Lemniscate of Bernoulli. We talk about the 17th century's fa

From playlist Differential Geometry

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The number theory revival | Math History | NJ Wildberger

After the work of Diophantus, there was something of a lapse in interest in pure number theory for quite some while. Around 1300 Gersonides developed the connection between the Binomial theorem and combinatorics, and then in the 17th century the topic was again taken up, notably by Fermat

From playlist MathHistory: A course in the History of Mathematics

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How to use Descartes rule of signs to determine the number of positive and negative zeros

πŸ‘‰ Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number

From playlist How to Use Descartes Rules of Signs

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Tangent conics and tangent quadrics | Differential Geometry 5 | NJ Wildberger

In this video we further develop and extend Lagrange's algebraic approach to the differential calculus. We show how to associate to a polynomial function y=p(x) at a point x=r not just a tangent line, but also a tangent conic, a tangent cubic and so on. Only elementary high school manipul

From playlist Differential Geometry

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Learn how to determine the number of imaginary,real positive &real negative zeros of a polynomial

πŸ‘‰ Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number

From playlist How to Use Descartes Rules of Signs

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Find the nth root on desmos

In this video, we show how to find the nth root on desmos

From playlist desmos

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Use Descartes Rule of signs to determine the number of positive and negative real zeros

πŸ‘‰ Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number

From playlist How to Use Descartes Rules of Signs

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Python Maps with Folium

In this Python tutorial we will go over how to create maps with the folium package. folium jupyter notebook with examples: https://github.com/groundhogday321/python-folium folium jupyter notebook toggle marker groups: https://github.com/groundhogday321/python-folium-toggle-marker-groups

From playlist Data Visualization for Data Science

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Using Folium with GeoPandas

Being able to quickly visualize your data as you work, as well as publish your results for others to see, interact with, and understand is important for any data scientist. In this video we cover creating dynamic maps with Folium. Github content: There are three notebooks, as well as th

From playlist Introduction to GeoPandas

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How to Plot Data on an Interactive Geographical Map in Python Easily with Geopy and Folium

If you enjoy this video, please subscribe. I provide all my content at no cost. If you want to support my channel, please donate via PayPal: https://www.paypal.com/cgi-bin/webscr?cmd=_donations&business=AZ73QW52SUX8N¤cy_code=USD&source=url Patreon: https://www.patreon.com/WJBMatting

From playlist Geomapping in Python

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Use descartes rule of signs to find the number of positive and negative real zeros

πŸ‘‰ Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number

From playlist How to Use Descartes Rules of Signs

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How to use and apply Descartes Rule of signs

πŸ‘‰ Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number

From playlist How to Use Descartes Rules of Signs

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What does Descartes rule of signs tell us

πŸ‘‰ Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also know the number of complex zeros of a complex number

From playlist How to Use Descartes Rules of Signs

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Conda Environments : Data Science Code

All about Conda Environments!

From playlist Python Basics

Related pages

Calculus | Rational function | Algebraic curve | Affine transformation | Pierre de Fermat | RenΓ© Descartes | Geometry | Asymptote | Trisectrix of Maclaurin