Infinite Limits With Equal Exponents (Calculus)
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From playlist Calculus
Eva Darulova : Programming with numerical uncertainties
Abstract : Numerical software, common in scientific computing or embedded systems, inevitably uses an approximation of the real arithmetic in which most algorithms are designed. Finite-precision arithmetic, such as fixed-point or floating-point, is a common and efficient choice, but introd
From playlist Mathematical Aspects of Computer Science
(IC 5.12) Finite-precision arithmetic coding - Setup
Pre-defining the quantities that will be needed in the finite-precision algorithm. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F
From playlist Information theory and Coding
(IC 5.6) Encoder for arithmetic coding (infinite-precision)
Pseudocode for the arithmetic coding algorithm, assuming addition and multiplication can be done exactly (i.e. with infinite precision). Later we modify this to work with finite precision. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837
From playlist Information theory and Coding
The alternating series. Solved problems. Estimating error and partial sum estimation for a set maximum error.
From playlist Advanced Calculus / Multivariable Calculus
Euler's method for solving non-separable differential equation by approximation.
From playlist Advanced Calculus / Multivariable Calculus
(IC 5.5) Rescaling operations for arithmetic coding
Certain rescaling operations are convenient for the infinite-precision algorithm, and are critical for the finite-precision algorithm. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F
From playlist Information theory and Coding
Live CEOing Ep 531: Language Design in Wolfram Language [Strings & Numbers, WFR Submissions & More]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
For the latest information, please visit: http://www.wolfram.com Speaker: Mark Sofroniou Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.
From playlist Wolfram Technology Conference 2016
Multiprecision: solving and causing problems
From playlist Spring 2019 Symbolic-Numeric Computing
Arithmetic With... Continued Fractions?? #SoME2
Arithmetic! On continued fractions! It's possible, but not well known or widely used in practice. This video explores the basics of this underappreciated area of math. This is my submission for SoME2 (https://www.youtube.com/watch?v=hZuYICAEN9Y&t=0s) SOURCES & FURTHER READING: Continued
From playlist Summer of Math Exposition 2 videos
Faster Arbitrary Precision Computation of Elementary Functions
For the latest information, please visit: http://www.wolfram.com Speaker: Mark Sofroniou Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.
From playlist Wolfram Technology Conference 2015
Overview of Numerical Computation
This talk will be an introduction to and summary of many of the numerical computation capabilities built into Mathematica, including arbitrary precision arithmetic, numerical linear algebra, optimization, integration, and differential equations.
From playlist Wolfram Technology Conference 2013
Limits of vector functions: an example
Free ebook http://tinyurl.com/EngMathYT Example on limits of vector functions and how to calculate them.
From playlist Engineering Mathematics
Live CEOing Ep 685: Language Design in Wolfram Language [Around, EchoFunctions, and More]
In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram
From playlist Behind the Scenes in Real-Life Software Design
(IC 5.11) Finite-precision arithmetic coding - Rescaling
We integrate the rescaling operations into the infinite-precision encoder, as a precursor to the finite-precision encoder. A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F
From playlist Information theory and Coding
History of Science and Technology Q&A (December 28, 2022)
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of thi
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
Fabian Immler : Verified numerics for ODEs in Isabelle/HOL
Abstract : This talk is about verified numerical algorithms in Isabelle/HOL, with a focus on guaranteed enclosures for solutions of ODEs. The enclosures are represented by zonotopes, arising from the use of affine arithmetic. Enclosures for solutions of ODEs are computed by set-based varia
From playlist Mathematical Aspects of Computer Science
Euler's method for estimating solution to non-separable first-order differential equations.
From playlist Advanced Calculus / Multivariable Calculus