Floating point | Computer arithmetic

Block floating point

Block floating point (BFP) is a method used to provide an arithmetic approaching floating point while using a fixed-point processor. BFP assigns a group of significands (the non-exponent part of the floating-point number) to a single exponent, rather than single significand being assigned its own exponent. BFP can be advantageous to limit space use in hardware to perform the same functions as floating-point algorithms, by reusing the exponent; some operations over multiple values between blocks can also be done with a reduced amount of computation. The common exponent is found by data with the largest amplitude in the block. To find the value of the exponent, the number of leading zeros must be found (count leading zeros). For this to be done, the number of left shifts needed for the data must be normalized to the dynamic range of the processor used. Some processors have means to find this out themselves, such as exponent detection and normalization instructions. Block floating-point algorithms were extensively studied by James Hardy Wilkinson. BFP can be recreated in software for smaller performance gains. (Wikipedia).

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Limit Points

Limit Points In this video, I define the notion of a limit point (also known as a subsequential limit) and give some examples of limit points. Limit points are closed: https://youtu.be/b1jYloJXDYY Check out my Sequences Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCuFxFs

From playlist Sequences

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Stationary Points: Step-by-Step Guide

More resources available at www.misterwootube.com

From playlist Applications of Differentiation

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Null points and null lines | Universal Hyperbolic Geometry 12 | NJ Wildberger

Null points and null lines are central in universal hyperbolic geometry. By definition a null point is just a point which lies on its dual line, and dually a null line is just a line which passes through its dual point. We extend the rational parametrization of the unit circle to the proj

From playlist Universal Hyperbolic Geometry

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A neat diagonal argument

Limit points are closed In this video, I present a very nice and surprising result about sequences, namely that the set of limit points of a sequence is a closed set. The beauty of this lies not in the fact, but in the proof, which uses an elegant diagonal argument. Enjoy! What is a limi

From playlist Sequences

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KS5 - Stationary & Turning Points

"Maxima and minima and stationary points."

From playlist Differentiation (AS/Beginner)

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Limit Points (Sequence and Neighborhood Definition) | Real Analysis

Limit points, accumulation points, cluster points, whatever you call them - that's today's subject. We'll define limit points in two ways. First we'll discuss the sequence definition of a limit point of a set. Then we'll discuss the neighborhood definition of a limit point of a set. We wil

From playlist Real Analysis

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AstroGPU CUDA Optimizations Part I - Mark Harris

Topic: AstroGPU CUDA Optimizations Part I Speaker: Mark Harris

From playlist Natural Sciences

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AstroGPU CUDA Optimizations Part II - Mark Harris

Topic: AstroGPU CUDA Optimizations Part II Speaker: Mark Harris

From playlist Natural Sciences

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The New Runtime Library

To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technology-conference/ Speaker: Mark Sofroniou Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, an

From playlist Wolfram Technology Conference 2018

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RubyConf 2022: Splitting: the Crucial Optimization for Ruby Blocks by Benoit Daloze

Blocks are one of the most expressive parts of the Ruby syntax. Many Ruby methods take a block. When a method is given different blocks, there is a crucial optimization necessary to unlock the best performance. This optimization dates back to the early days of research on dynamic languages

From playlist RubyConf 2022: Mini and Houston

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Critical Path Method | PMP | Edureka

( PMP Certification Training - https://www.edureka.co/pmp-certification-exam-training ) Watch sample class recording: http://www.edureka.co/pmp?utm_source=youtube&utm_medium=referral&utm_campaign=critical-path-method Critical Path Method calculates a single deterministic early and late

From playlist PMP Certification Training Videos

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CS105: Introduction to Computers | 2021 | Lecture 11.1 Webpage Layout: Overview of Layout Techniques

Patrick Young Computer Science, PhD This course is a survey of Internet technology and the basics of computer hardware. You will learn what computers are and how they work and gain practical experience in the development of websites and an introduction to programming. To follow along wi

From playlist Stanford CS105 - Introduction to Computers Full Course

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How To Calculate The Fractional Volume Submerged & The Density of an Object In Two Fluids

This physics video tutorial explains how to calculate the fractional volume of partially submerged objects and the density of an object in two fluids (oil and water) using archimedes principle, free body diagrams, and the upward buoyant force exerted by the weight of the displaced molecul

From playlist New Physics Video Playlist

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5.4.1 Slicing and Dicing for Performance

5.4.1 Slicing and Dicing for Performance

From playlist LAFF - Week 5

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OpenGL Tutorial - Uniform Buffer Objects | C++ & Java

This video is a tutorial about OpenGL Uniform Buffer Objects (UBO). UBO's are in the OpenGL core since 3.1 and are a powerful feature for modern game engines. Tutorial about the computation of the TBN matrix and Normalmapping on static and dynamic polygon meshes. Tangent/Bitangent Precomp

From playlist OpenGL

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CCSS How to label collinear and coplanar points

👉 Learn how to label points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A point is labeled using a capital letter. A line can be labeled usi

From playlist Labeling Point Lines and Planes From a Figure

Related pages

Floating-point arithmetic | Significand | Fast Fourier transform | Fixed-point arithmetic