In mathematics, a collection of real numbers is rationally independent if none of them can be written as a linear combination of the other numbers in the collection with rational coefficients. A collection of numbers which is not rationally independent is called rationally dependent. For instance we have the following example. Because if we let , then . (Wikipedia).
Simplify a rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Simplifying rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Simplifying a rational expression with a trinomial
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Factoring out the GCF to simplify the rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Simplifying a rational expression by factoring two trinomials
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Simplify a rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Factoring out the GCF from the denominator to help you simplify your rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Simplify a rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Simplify a rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
A Family of Rationally Extended Real and PT Symmetric Complex Potentials by Rajesh Kumar Yadav
PROGRAM NON-HERMITIAN PHYSICS (ONLINE) ORGANIZERS: Manas Kulkarni (ICTS, India) and Bhabani Prasad Mandal (Banaras Hindu University, India) DATE: 22 March 2021 to 26 March 2021 VENUE: Online Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics a
From playlist Non-Hermitian Physics (ONLINE)
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From playlist Differential Algebra and Related Topics VII (2016)
Point-counting and diophantine applications - Jonathan Pila
Hermann Weyl Lectures Topic: Point-counting and diophantine applications Speaker: Jonathan Pila Affiliation: University of Oxford Date: October 23, 2018 For more video please visit http://video.ias.edu
From playlist Hermann Weyl Lectures
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The Study of Wave Interactions: Where Beautiful Mathematical Ideas Come... II - Gigliola Staffilani
Emmy Noether Lectures Topic: The Study of Wave Interactions: Where Beautiful Mathematical Ideas Come Together Speaker: Gigliola Staffilani Affiliation: Massachusetts Institute of Technology Date: January 25, 2023 Phenomena involving interactions of waves happen at different scales and i
From playlist Mathematics
Geometry of tropical varieties with a view toward applications (Lecture 2) by Omid Amini
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS : Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE : 27 June 2022 to 08 July 2022 VENUE : Madhava Lecture Hall and Online Algebraic geometry is the study
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Think you can integrate every function? Unfortunately you can't, but it's not your fault! In this case, it's the math that's wrong and needs to be updated (just like sometimes you update your operating system). This video presents the limit of Riemann (calculus-style) integration and the b
From playlist Integration
Ruyong Feng, Chinese Academy of Sciences
October 14, Ruyong Feng, Chinese Academy of Sciences Effective height inequality of points on a plane algebraic curve
From playlist Fall 2021 Online Kolchin Seminar in Differential Algebra
Thierry Combot, University of Burgundy
February 24, Thierry Combot, University of Burgundy Symbolic integration on planar differential foliations
From playlist Spring 2023 Online Kolchin Seminar in Differential Algebra
Simplify a rational expression with two trinomials
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
Aaron Pixton - The stable pairs equivariant descendent vertex
The counting function associated to the moduli space of stable pairs on a 3-fold X is conjectured to give the Laurent expansion of a rational function. For toric X, this conjecture can be proven by a careful grouping of the box con gurations appearing in the stable pairs equivariant descen
From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten