Unsolved problems in geometry | Packing problems
Square packing in a square is a packing problem where the objective is to determine how many squares of side one (unit squares) can be packed into a square of side a. If a is an integer, the answer is a2, but the precise, or even asymptotic, amount of wasted space for non-integer a is an open question. (Wikipedia).
This video introduces perfect squares and square roots. http://mathispower4u.yolasite.com/
From playlist Radicals
Factor Perfect Square Trinomials Using a Formula
This video explains how to factor a perfect square trinomial. http://mathispower4u.com
From playlist Factoring Perfect Square Trinomials
In this video, we look at a very useful pattern found in squaring square roots
From playlist Middle School - Worked Examples
Review: Perimeter of Basic Figures
From playlist Measuring Basic Shapes
Use Prime Factorization to Simplify the Square Root of a Number, sqrt(32)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
How to take the square root of three different types of numbers, root(4), root(18)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
This geometry video tutorial explains how to calculate the area of a square given the side length as a number and as a variable or algebraic expression. It explains how to calculate the area of a square given the perimeter and how to calculate the area of a square given the length of the
From playlist Geometry Video Playlist
Breaking down the square root of forty, sqrt(40)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Explain how to take the root of a number even or odd using prime factorization, root
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it
From playlist How to Simplify the Square Root of a Number
Sphere packings in 8 dimensions (after Maryna Viazovska)
The is a math talk about the best possible sphere packing in 8 dimensions. It was an open problem for many years to show that the best 8-dimensional sphere packing is given by the E8 lattice. We describe the solution to this found by Maryna Viazovska, building on work of Henry Cohn and Noa
From playlist Math talks
18. Introduction to Crystallography (Intro to Solid-State Chemistry)
MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018 Instructor: Jeffrey C. Grossman View the complete course: https://ocw.mit.edu/3-091F18 Course Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63z5HAguqleEbsICfHgDPaG Highlights Playlist: https://www.youtube.com/playlist?
From playlist MIT 3.091 Introduction to Solid-State Chemistry, Fall 2018
Jim Propp - Believe It, Then Don’t - CoM Oct 2020
Question: Why do mathematicians often belabor the obvious, sometimes to the point of struggling to doubt things that they actually believe are true? Answer: Because sometimes things that are obvious turn out to be false, and because when we question our beliefs and then fight our way back
From playlist Celebration of Mind
Apollonian packings and the quintessential thin group - Elena Fuchs
Speaker: Elena Fuchs (UIUC) Title: Apollonian packings and the quintessential thin group Abstract: In this talk we introduce the Apollonian group, sometimes coined the “quintessential” thin group, which is the underlying symmetry group of Apollonian circle packings. We review some of the e
From playlist My Collaborators
Error-Correcting Codes - Swastik Kopparty
Swastik Kopparty Institute for Advanced Study March 23, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Discussion Meeting Sphere Packing ORGANIZERS: Mahesh Kakde and E.K. Narayanan DATE: 31 October 2019 to 06 November 2019 VENUE: Madhava Lecture Hall, ICTS Bangalore Sphere packing is a centuries-old problem in geometry, with many connections to other branches of mathematics (number the
From playlist Sphere Packing - 2019
Lattices: from geometry to cryptography - Oded Regev
Ruth and Irving Adler Expository Lecture in Mathematics Topic: Lattices: from geometry to cryptography Speaker: Oded Regev Affiliation: New York University Date: November 29, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Geometry and arithmetic of sphere packings - Alex Kontorovich
Members' Seminar Topic: Geometry and arithmetic of sphere packings Speaker: A nearly optimal lower bound on the approximate degree of AC00 Speaker:Alex Kontorovich Affiliation: Rutgers University Date: October 23, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Alex Kontorovich - On the Strong Density Conjecture for Apollonian Circle Packings [2012]
slides for this talk: https://docs.google.com/viewer?url=http://www.msri.org/workshops/652/schedules/14560/documents/1681/assets/17223 Abstract: The Strong Density Conjecture states that for a given primitive integral Apollonian circle packing, every sufficiently large admissible (passing
From playlist Number Theory
Ex: Square Binomials Containing Square Roots
This video provides examples of how to square a binomial containing square roots.
From playlist Multiplying Radicals
Thin Groups and Applications - Alex Kontorovich
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond