Number theoretic algorithms | Diophantine equations
The chakravala method (Sanskrit: चक्रवाल विधि) is a cyclic algorithm to solve indeterminate quadratic equations, including Pell's equation. It is commonly attributed to Bhāskara II, (c. 1114 – 1185 CE) although some attribute it to Jayadeva (c. 950 ~ 1000 CE). Jayadeva pointed out that Brahmagupta's approach to solving equations of this type could be generalized, and he then described this general method, which was later refined by Bhāskara II in his Bijaganita treatise. He called it the Chakravala method: chakra meaning "wheel" in Sanskrit, a reference to the cyclic nature of the algorithm. C.-O. Selenius held that no European performances at the time of Bhāskara, nor much later, exceeded its marvellous height of mathematical complexity. This method is also known as the cyclic method and contains traces of mathematical induction. (Wikipedia).
Some Snapshots of India's Mathematical Past by S. G. Dani
PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis
From playlist Ergodic Theory and Dynamical Systems 2022
Lec-15 Solution of a System of Linear Algebraic Equations-Part-5
Lecture series on Numerical Methods and Computation by Prof.S.R.K.Iyengar, Department of Mathematics, IIT Delhi. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist Core - Numerical Methods and Computation
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
The magic of Vedic math - Gaurav Tekriwal
View full lesson: http://ed.ted.com/lessons/the-magic-of-vedic-math-gaurav-tekriwal There is more than one way to reach a correct answer in mathematics. Vedic math, an ancient Indian method, sidesteps traditional computations in a manner that provides a shortcut, while being fun to use an
From playlist TEDYouth Talks
Lattice multiplication is a multiplication method that allows you multiply any two numbers quickly using a table. It is especially useful in multiplying large numbers, with less mess and confusion than standard long multiplication. This method has many names - Lattice multiplication, gel
From playlist Math Tricks for Fast Multiplication
Solve for all of the solutions of an equation when you have to factor
👉 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
Fast Multiplication of any number - using vedic math
This maths trick for fast multiplication allows you multiply any two numbers quickly, using vedic math. This method is a great alternative either for those who need that extra bit of help with math, or people who like to expand their knowledge. This trick is especially useful in multiplyi
From playlist Math Tricks for Fast Multiplication
Solving for cosine using multiple angles
👉 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 with Multi Angles
Learn how to write all of 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 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
The Revenge of method_missing()
Convinced that nobody can bully method_missing() and get away with it, Nusco resolved to present a talk about it. When is method_missing() appropriate, and when should you pick an alternative metaprogramming magic spell instead? Is method_missing() really dangerous? What are the common met
From playlist Madison Ruby 2012
[Rust Programming] Crafting Interpreters: Day 37, Chapter 28 (Part 1)
In this video we continue to look at the Crafting Interpreters book, and learn how to port it to Rust. Since I'm a Rust beginner, the intent is that it will help me learn the language more in-depth than before. The book: https://craftinginterpreters.com/contents.html We're getting close
From playlist Rust Ports
Madison Ruby 2012 - The Revenge of method_missing()
The Revenge of method_missing() by: Paolo Perrotta Convinced that nobody can bully method_missing() and get away with it, Nusco resolved to present a talk about it. When is method_missing() appropriate, and when should you pick an alternative metaprogramming magic spell instead? Is metho
From playlist Madison Ruby 2012
How to multiply ANY numbers the fast way - Fast Math Trick
#fastmathtricks #mentalmath #mathtrick Using this math trick for fast calculation you will be able to multiply any pair of three digit numbers with each other faster than you ever imagined. On top of that this fast math trick can be easily used to multiply any numbers faster than you've
From playlist Addition, subtraction, division and multiplication.
RubyConf 2015 - Extremely Defensive Coding by Sam Phippen
Extremely Defensive Coding by Sam Phippen Defensive programming is one of those abstract ideas that seems great but is often unclear in practice. In this talk we'll look at some of the extremely defensive patterns that have been driven out in RSpec through the years. We'll look at buildi
From playlist RubyConf 2015