# 0

0 (zero) is a number representing an empty quantity. In place-value notation such as the Hindu–Arabic numeral system, 0 also serves as a placeholder numerical digit, which works by multiplying digits to the left of 0 by the radix, usually by 10. As a number, 0 fulfills a central role in mathematics as the additive identity of the integers, real numbers, and other algebraic structures. Common names for the number 0 in English are zero, nought, naught (/nɔːt/), nil. In contexts where at least one adjacent digit distinguishes it from the letter O, the number is explicitly pronounced as oh or o (/oʊ/). Informal or slang terms for 0 include zilch and zip. Historically, ought, aught (/ɔːt/), and cipher, have also been used. (Wikipedia).

The Most Controversial Number in Math

0^0 is highly debated in the mathematical community. Why is 0^0 undefined? Does 0^0=0? Does 0^0=1? In this video I'll address the 0^0 meaning and give you a solid 0^0 proof. Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purc

From playlist Fun and Amazing Math

What is multiplicity and what does it mean for the zeros of a graph

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

What is the multiplicity of a zero?

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Learn how and why multiplicity of a zero make sense

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

What are zeros of a polynomial

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Overview of zeros of a polynomial - Online Tutor - Free Math Videos

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Overview of Multiplicity of a zero - Online Tutor - Free Math Videos

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

What is a polynomial function

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Why is dividing by zero undefined

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About

Mod-01 Lec-12 Gauss 2-point Rule: Construction

Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

Basis Extension

Extend a linearly independent set to a basis In this video, I show how to concretely extend any linearly independent subset of a vector space to a basis of that vector space. We know we can do that in theory (using the replacement theorem), but this video shows how to do it in concrete si

From playlist Linear Equations

Matrix of a matrix

Calculating the matrix of a linear transformation with respect to a basis B. Here is the case where the input basis is the same as the output basis. Check out my Vector Space playlist: https://www.youtube.com/watch?v=mU7DHh6KNzI&list=PLJb1qAQIrmmClZt_Jr192Dc_5I2J3vtYB Subscribe to my ch

From playlist Linear Transformations

Quaternions as 4x4 Matrices - Connections to Linear Algebra

In math, it's usually possible to view an object or concept from many different (but equivalent) angles. In this video, we will see that the quaternions may be viewed as 4x4 real-valued matrices of a special form. What is interesting here is that if you know how to multiply matrices, you a

From playlist Quaternions

Multiplication & Division in Base 2

multiplication & division in base 2, Playlist for Numbers In Different Bases: https://www.youtube.com/playlist?list=PLj7p5OoL6vGz7W1YRGwj4PvXzDThClYJN Please subscribe for more math content! ☀️support bprp on Patreon: https://www.patreon.com/blackpenredpen Guess what my first job was!

From playlist Numbers In Different Bases

Gaussian Elimination Marathon, #bprpLIVE

Integral of 1/(x^6+1), LIVE!!!!!!! part1 ft. Gaussian Elimination for a 6 by 6 system of equations, solve my longest system of equations by matrices, part2, remake: https://youtu.be/aMC2L9T5Qsw blackpenredpen, math for fun, https://blackpenredpen.com/bprplive, https://twitter.com/bla

From playlist BIG INTEGRALS (NO SHORTCUTS)

Theory of Computation: Turing computable functions

This video is for my Spring 2020 section of MA 342, for the class meeting on Friday April 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

Twos complement: Negative numbers in binary

How can we represent negative numbers in binary? There are several ways. This video compares using a sign bit, ones complement, and twos complement. Twos complement is the most commonly technique because it's relatively easy to implement in hardware and it makes addition and subtraction wi

From playlist Building an 8-bit breadboard computer!

Mod-01 Lec-16 Numerical Differentiation

Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

Communication over a Noisy Channel

MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013 View the complete course: http://ocw.mit.edu/6-041SCF13 Instructor: Jimmy Li License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

Overview Intermediate Value Theorem - Online Tutor - Free Math Videos

👉 Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number

From playlist Zeros and Multiplicity of Polynomials | Learn About