In numerical analysis, Bairstow's method is an efficient algorithm for finding the roots of a real polynomial of arbitrary degree. The algorithm first appeared in the appendix of the 1920 book Applied Aerodynamics by Leonard Bairstow. The algorithm finds the roots in complex conjugate pairs using only real arithmetic. See root-finding algorithm for other algorithms. (Wikipedia).
Bairstow's Method for finding the roots of polynomials including complex roots. Discussion of method derivation, relation to synthetic division of two variables, stopping condition, selection of initial values, fractals, and historical context. Submission for Summer of Math Exposition 2 co
From playlist Root Finding
Graeffe's Root-Squaring Method (also called Graeffe-Dandelin-Lobachevskiĭ or Dandelin–Lobachesky–Graeffe method) for finding roots of polynomials. The method solves for all of the roots of a polynomial by only using the coefficients and does not require derivatives nor an interation funct
From playlist Root Finding
The Aberth-Ehrlich Method for solving all roots of a polynomial simultaneously including history, methodology, examples, and order as well as comparison to Durand-Kerner. Example code github: http://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:19 History 0:41 Methodology 0:59
From playlist Root Finding
The Durand-Kerner Method for solving all roots of a polynomial simultaneously including complex solutions. Example code github: http://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:24 History 1:04 Methodology & Derivation 2:28 Example 1 real numbers 2:55 Example 2 need for comp
From playlist Root Finding
Laguerre's method for finding real and complex roots of polynomials. Includes history, derivation, examples, and discussion of the order of convergence as well as visualizations of convergence behavior. Example code available on github https://www.github.com/osveliz/numerical-veliz Chapte
From playlist Root Finding
Horner's Method (Ruffini-Horner Scheme) for evaluating polynomials including a brief history, examples, Ruffini's Rule with derivatives, and root finding using Newton-Horner. Example code on GitHub https://github.com/osveliz/numerical-veliz Chapters 0:00 Intro 0:11 - History 1:33 - TLDR 1
From playlist Root Finding
Solving a trig function with sine and cosine
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
Find all the solutions of trig equation with cotangent
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given
From playlist Solve Trigonometric Equations
Solve a Bernoulli Differential Equation Initial Value Problem
This video provides an example of how to solve an Bernoulli Differential Equations Initial Value Problem. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Solving a trigonometric equation with applying pythagorean identity
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
Solve a Bernoulli Differential Equation (Part 2)
This video provides an example of how to solve an Bernoulli Differential Equation. The solution is verified graphically. Library: http://mathispower4u.com
From playlist Bernoulli Differential Equations
Solving for sine with no constraints
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the give
From playlist Solve Trigonometric Equations
How to find all the solutions to a trigonometric equation
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Taking the Square Root
How to use factoring to solve a trigonometric equation
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
RubyConf 2021 - Control methods like a pro: A guide to Ruby's awesomeness, ... by Masafumi Okura
Control methods like a pro: A guide to Ruby's awesomeness, a.k.a. metaprogramming by Masafumi Okura Do you know that methods are objects in Ruby? We can manipulate method objects just like other object, meaning that we can store them in variables, get information from them and wrap them i
From playlist RubyConf 2021
RubyConf 2015 - Messenger: The (Complete) Story of Method Lookup by Jay McGavren
Messenger: The (Complete) Story of Method Lookup by Jay McGavren You call a method on an object, and it invokes the instance method defined on the class. Simple. Except when the method isn't on the class itself, because it's inherited from a superclass. Or a singleton class, mixin, or ref
From playlist RubyConf 2015
RubyConf 2015 - Ruby 2 Methodology by Akira Matsuda
Ruby 2 Methodology by Akira Matsuda This talk focuses on "Method" in Ruby. Although Method is the key feature of an OOP language like Ruby, Ruby's Method is still drastically evolving. This session is a quick tour on new features and changes around Method in recent versions of the Ruby l
From playlist RubyConf 2015
RubyConf 2016 - Metaprogramming? Not good enough! by Justin Weiss
RubyConf 2016 - Metaprogramming? Not good enough! by Justin Weiss If you know how to metaprogram in Ruby, you can create methods and objects on the fly, build Domain Specific Languages, or just save yourself a lot of typing. But can you change how methods are dispatched? Can you decide th
From playlist RubyConf 2016
Solve a trig equation by factoring a perfect square trinomial
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring