Machine epsilon or machine precision is an upper bound on the relative approximation error due to rounding in floating point arithmetic. This value characterizes computer arithmetic in the field of numerical analysis, and by extension in the subject of computational science. The quantity is also called macheps and it has the symbols Greek epsilon . There are two prevailing definitions. In numerical analysis, machine epsilon is dependent on the type of rounding used and is also called unit roundoff, which has the symbol bold Roman u. However, by a less formal, but more widely-used definition, machine epsilon is independent of rounding method and may be equivalent to u or 2u. (Wikipedia).
Epsilon-Delta Definition of a Limit (Not Examinable)
This video introduces the formal definition for the limit of a function at a point. Presented by Norman Wildberger of the School of Mathematics and Statistics, UNSW.
From playlist Mathematics 1A (Calculus)
Epsilon delta limit (Example 3): Infinite limit at a point
This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!
From playlist Calculus
ultimate introduction to the epsilon-delta definition of a limit
My most detailed introduction to the epsilon-delta definition of limits in calculus! The epsilon-delta definition of a limit is commonly considered the hardest topic in calculus 1 (it's also the important part at the beginning of real analysis). The best way to understand this precise defi
From playlist Epsilon-Delta definition of limits
Calculus - Find the limit of a function using epsilon and delta
This video shows how to use epsilon and delta to prove that the limit of a function is a certain value. This particular video uses a linear function to highlight the process and make it easier to understand. Later videos take care of more complicated functions and using epsilon and delta
From playlist Calculus
Calculus I - 1.2.3 The Epsilon-Delta Limit Definition
In this video we formalize the definition of a limit and explore strategies for determining the value of delta for a given or variable value of epsilon. Video Chapters: Intro 0:00 Informal to Formal Limit Definition 0:08 Finding Delta for Given Epsilon 3:50 Finding Delta in Terms of Epsil
From playlist Calculus I - Complete Course Under Construction
What exactly is a limit?? | Real numbers and limits Math Foundations 106 | N J Wildberger
In this video we aim to give a precise and simpler definition for what it means to say that: a rational polynumber on-sequence p(n) has a limit A, for some rational number A. Our definition is both much simpler and more logical than the usual epsilon -delta definition found in calculus tex
From playlist Math Foundations
baby calculus vs adult calculus (epsilon delta definition of a limit)
Learn the epsilon-delta definition at Brilliant 👉 https://brilliant.org/blackpenredpen/ (20% off with this link!) Baby calculus vs adult calculus: evaluating the limit of 1/x when x goes to 2. Most of us know the answer is 1/2 because the function 1/x is continuous at x=2. But how do we p
From playlist Binge-able math for fun videos (2022)
Epsilon delta definition of limit explained on an example
Epsilon delta definition of limit made easy
From playlist Summer of Math Exposition Youtube Videos
limits with epsilon-delta definition! (x^3 and 1/x examples)
Here's the easy way to write epsilon-delta proofs for limits. Usually, the epsilon-delta definition is taught in college calculus 1 (or real analysis in upper-division pure math but not on AP calculus). I think it is the hardest topic in calculus 1. Let me know what you think! Check out th
From playlist Epsilon-Delta definition of limits
Theory of Computation: Stack Machines, NFAs & CFGs
This video is for my Spring 2020 section of MA 342, for the class meeting on Friday March 20. Visit the class website for homework as usual! Fast forward music is from "Now Get Busy" by the Beastie Boys, licensed Creative Commons Noncommercial Sampling Plus.
From playlist Math 342 (Theory of Computation) Spring 2020
Computation Ep24, Stack machine constructions (Mar 29, 2022)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math and computer science majors at Fairfield University, Spring 2022. The course is about finite automata, Turing machines, and related topics. Homework and handouts at the class websi
From playlist Math 3342 (Theory of Computation) Spring 2022
Theory of Computation: Converting Stack Machines to CFGs
This video is for my Spring 2020 section of MA 342, for the class meeting on Tuesday March 24. Visit the class website for homework as usual! Fast forward music is from "Now Get Busy" by the Beastie Boys, licensed Creative Commons Noncommercial Sampling Plus.
From playlist Math 342 (Theory of Computation) Spring 2020
Grammars & stack machines: Theory of Computation (Mar 23 2021)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math & computer science majors at Fairfield University, Spring 2021. Class website: http://cstaecker.fairfield.edu/~cstaecker/courses/2021s3342/
From playlist Math 3342 (Theory of Computation) Spring 2021
Computation Ep22, Stack Machines (Mar 23, 2022)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math and computer science majors at Fairfield University, Spring 2022. The course is about finite automata, Turing machines, and related topics. Homework and handouts at the class websi
From playlist Math 3342 (Theory of Computation) Spring 2022
Stack machines again!: Theory of Computation (Mar 17 2021)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math & computer science majors at Fairfield University, Spring 2021. Class website: http://cstaecker.fairfield.edu/~cstaecker/courses/2021s3342/
From playlist Math 3342 (Theory of Computation) Spring 2021
Theory of Computation: Stack Machines formal description
This video is for my Spring 2020 section of MA 342, for the class meeting on Wednesday March 18. Visit the class website for homework as usual! Fast forward music is from "Now Get Busy" by the Beastie Boys, licensed Creative Commons Noncommercial Sampling Plus.
From playlist Math 342 (Theory of Computation) Spring 2020
Stack machines more!: Theory of Computation (Mar 17 2021)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math & computer science majors at Fairfield University, Spring 2021. Class website: http://cstaecker.fairfield.edu/~cstaecker/courses/2021s3342/
From playlist Math 3342 (Theory of Computation) Spring 2021
Computation Ep23, Stack Machines Formally (Mar 25, 2022)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math and computer science majors at Fairfield University, Spring 2022. The course is about finite automata, Turing machines, and related topics. Homework and handouts at the class websi
From playlist Math 3342 (Theory of Computation) Spring 2022
Theory of Computation: Stack Machines
This video is for my Spring 2020 section of MA 342, for the class meeting on Tuesday March 17. Visit the class website for homework as usual! Fast forward music is from "Now Get Busy" by the Beastie Boys, licensed Creative Commons Noncommercial Sampling Plus.
From playlist Math 342 (Theory of Computation) Spring 2020
Ex 2: Limit Definition - Determine Delta for an Arbitrary Epsilon (Quadratic)
This video explains how to determine an expression of delta for an arbitrary epsilon that can be used to prove a limit exists. http://mathispower4u.com
From playlist Limits