Compiler optimizations

Loop splitting

Loop splitting is a compiler optimization technique. It attempts to simplify a loop or eliminate dependencies by breaking it into multiple loops which have the same bodies but iterate over different contiguous portions of the index range. (Wikipedia).

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Splitting Homomorphism of R-Modules

A splitting, or section, is a homomorphism from the quotient module to the original module that gives a representative for each coset. If we have a splitting, we can prove that the module is isomorphic to a direct sum! This video is an explanation of how the splitting leads to an isomorphi

From playlist Ring & Module Theory

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How to finding the whole length of a segment given two parts

👉 Learn how to find the missing measure of a segment. A segment is a line that has two endpoints. A segment can be subdivided into several portions. The length of the segment is the sum of all the sub-divisions of the segment. Thus, when given a segment sub-divided into portions, we can us

From playlist Find the Length of the Line Segment

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Finding the length of a segment given the whole and part - Free Math Help - Online Tutor

👉 Learn how to find the missing measure of a segment. A segment is a line that has two endpoints. A segment can be subdivided into several portions. The length of the segment is the sum of all the sub-divisions of the segment. Thus, when given a segment sub-divided into portions, we can us

From playlist Find the Length of the Line Segment

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Field Theory - Splitting Fields in CC - Lecture 11

In this video we compute some examples of splitting fields over CC. These include a Kummer field, a cyclotomic field, a quadratic field, and some real cubic field.

From playlist Field Theory

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Using segment addition postulate to find the value of a segment

👉 Learn how to find the missing measure of a segment. A segment is a line that has two endpoints. A segment can be subdivided into several portions. The length of the segment is the sum of all the sub-divisions of the segment. Thus, when given a segment sub-divided into portions, we can us

From playlist Find the Length of the Line Segment

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How to divide two numbers using long division and label the parts

👉 In this video series you will learn how to divide integers. We will discuss basic division and then move to division using long division. Integers will be single digit as well as multi-digit problems. When a number the divisor does not evenly divide into another number the dividend the

From playlist Integer Operations

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Partitions of n-valued maps: a meal in four courses

A research talk presented at the Farifield University Mathematics Research Seminar, February 12, 2021. Should be accessible to a general mathematics audience. The paper: https://arxiv.org/abs/2101.09326

From playlist Research & conference talks

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Special segments of similar triangles Altitude

👉 Learn how to find the missing measure of a segment. A segment is a line that has two endpoints. A segment can be subdivided into several portions. The length of the segment is the sum of all the sub-divisions of the segment. Thus, when given a segment sub-divided into portions, we can us

From playlist Find the Length of the Line Segment

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What is the difference of a trapezoid and an isosceles trapezoid

👉 Learn how to solve problems with trapezoids. A trapezoid is a four-sided shape (quadrilateral) such that one pair of opposite sides are parallel. Some of the properties of trapezoids are: one pair of opposite sides are parallel, etc. A trapezoid is isosceles is one pair of opposite sides

From playlist Properties of Trapezoids

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Gauge-string duality in lattice gauge theories (Lecture - 02) by Sourav Chatterjee

INFOSYS-ICTS RAMANUJAN LECTURES SOME OPEN QUESTIONS ABOUT SCALING LIMITS IN PROBABILITY THEORY SPEAKER Sourav Chatterjee (Stanford University, California, USA) DATE & TIME 14 January 2019 to 18 January 2019 VENUE Madhava Lecture Hall, ICTS campus GALLERY Lecture 1: Yang-Mills for mathemat

From playlist Infosys-ICTS Ramanujan Lectures

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How to apply long division to divide multi digit whole numbers

👉 In this video series you will learn how to divide integers. We will discuss basic division and then move to division using long division. Integers will be single digit as well as multi-digit problems. When a number the divisor does not evenly divide into another number the dividend the

From playlist Integer Operations

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Python In Education: Reading Files

Sometimes data gets to us in the form of a large file that we would prefer read into our script directly. In this video I show how Python reads data from files, with a focus on .txt and .csv files, and how to make a graph of that data. I give an example of plotting annual weather data from

From playlist Python In Education

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Lec 16 | MIT 6.035 Computer Language Engineering, Fall 2005

Putting it all Together View the complete course: http://ocw.mit.edu/6-035F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.035 Computer Language Engineering, Fall 2005

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Forbidden Patterns in Tropical Planar Curves by Ayush Kumar Tewari

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the stu

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Advent of Code 2021 - Day 18 - Rust Programming

Programming Puzzle Website for #AdventOfCode : https://adventofcode.com/2021 I will stream as many of these as I can on https://www.twitch.tv/unclescientist using the Rust programming language Meanwhile here is my solution for Day 18 of Advent of Code 2021. Many thanks to Eric Wastl and

From playlist Advent of Code

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Yonatan Harpaz - New perspectives in hermitian K-theory II

Warning: around 32:30 in the video, in the slide entitled "Karoubi's conjecture", a small mistake was made - in the third bulleted item the genuine quadratic structure appearing should be the genuine symmetric one (so both the green and red instances of the superscript gq should be gs), an

From playlist New perspectives on K- and L-theory

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Python Charting Stocks/Forex for Technical Analysis Part 5 - Finishing price puller

Charting Stocks in Python playlist: http://www.youtube.com/watch?v=u6Xd3kRHhJI&feature=share&list=PLQVvvaa0QuDcR-u9O8LyLR7URiKuW-XZq This is the fifth video in the series for stock price analysis, showing how to automatically pull stock price data. The purpose of the videos in this series

From playlist Customizing Matplotlib Graphs and Charts

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[Rust Programming] Advent of Code 2016 Day 9 - Explosives in Cyberspace

My Rust solution for Day 9 of Advent of Code 2016. [NOTE: This video was streamed October 2022] I livestream these on twitch when I can, on occasional weekday mornings, starting between 7 and 7:30am Eastern/US time. I usually stream for about 1-2 hours, depending on how well my voice hol

From playlist Advent of Code 2016

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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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Using congruent segments find the value of a segment

👉 Learn how to find the missing measure of a segment. A segment is a line that has two endpoints. A segment can be subdivided into several portions. The length of the segment is the sum of all the sub-divisions of the segment. Thus, when given a segment sub-divided into portions, we can us

From playlist Find the Length of the Line Segment

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