In mathematics, a metric space X with metric d is said to be doubling if there is some doubling constant M > 0 such that for any x ∈ X and r > 0, it is possible to cover the ball B(x, r) = {y | d(x, y) < r} with the union of at most M balls of radius r/2. The base-2 logarithm of M is often referred to as the doubling dimension of X. Euclidean spaces equipped with the usual Euclidean metric are examples of doubling spaces where the doubling constant M depends on the dimension d. For example, in one dimension, M = 2; and in two dimensions, M = 7. (Wikipedia).
Hilbert's curve slowly eating the square
From playlist Space filling curves
Picture to line with Hilbert Curve
From playlist Space filling curves
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
What is (a) Space? From Zero to Geo 1.5
What is space? In this video, we learn about the many different things that we might call "space". We come up with both a geometric and an algebraic definition, and the discussion also leads us to the important concept of subspaces. Sorry for how long this video took to make! I mention
From playlist From Zero to Geo
Chapter 2 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
What is length contraction? Length contraction gives the second piece (along with time dilation) of the puzzle that allows us to reconcile the fact that the speed of light is constant in all reference frames.
From playlist Relativity
What exactly is space? Brian Greene explains what the "stuff" around us is. Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https:
From playlist Science Unplugged: Physics
Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener
From playlist Topology
Hello Everyone, today i am going to show you how to crochet this beautiful and easy Braided Stitch. Great for Blankets, Scarfs and Potsholders. Have a great time crocheting ! * Used Yarn : https://www.lovecrafts.com/de-de/p/king-cole-riot-chunky?utm_medium=affiliate&a_aid=a5e26781 * Cro
From playlist Crochet!
Learn how to crochet these darling snowflake ornaments! They look much more complicated than they really are. Only 5 rounds. Quite easy and they are a breeze to whip up! Make them for gifts, attach them to other gifts or simply crochet some up for friends and family. Finish them by starchi
From playlist Crochet!
Highline Excel Class 13: Text functions & AMPERSAND
Download Excel Start File 1: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/Week2Busn214.xls Download Excel Start File 2: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/Week2Busn214Workbook2.xls Download Excel Finished File: https://people.highline.edu/mgirvin/YouTubeExcelIsF
From playlist Highline Excel 2007 Class: Comprehensive Excel Basics To Advanced (59 Videos)
Excel Magic Trick 1199: Formula to Extract Everything After Last Space: Two Formula Solutions
Download Excel Start File: https://excelisfun.net/files/EMT1198-1203.xlsx Download File: https://excelisfun.net/ See how to use Formula to Extract Everything After Last Space: 1. (00:08) Problem Setup 2. (01:05) Formula with TRIM, RIGHT, SUBSTITUTE, REPT, LEN and LEN functions (from pmsoc
From playlist Excel Series: Magic Tricks (7th 400 + videos)
Highline Excel 2016 Class 08: Text Formulas and Text Functions to Join and Extract Data
Download Files: https://people.highline.edu/mgirvin/AllClasses/218_2016/218Excel2016.htm In this video learn about: 1. (00:12) Introduction 2. (00:46) Text Formulas: Ampersand to Join Items together 3. (01:38) Text Functions to extract partial text items from a larger text item. 4. (02:57)
From playlist Excel Advanced Free Course at YouTube. Comprehensive Excel 2016: Calculations & Data Analysis (27 Videos)
Maxime Fairon - Integrable Systems on (Multiplicative) Quiver Varieties
Following the pioneering work of Wilson who realized the phase space of the (classical complex) Calogero-Moser system as a quiver variety, Chalykh and Silantyev observed in 2017 that various generalizations of this integrable system can be constructed on quiver varieties associated with cy
From playlist Workshop on Quantum Geometry
Chapter 6 of the Dimensions series. See http://www.dimensions-math.org for more information. Press the 'CC' button for subtitles.
From playlist Dimensions
Excel Magic Trick 393: Remove Last Two Words From Column Of Data
Download Files: https://people.highline.edu/mgirvin/YouTubeExcelIsFun/EMT387-393.xls See how to remove last two words for column of data using LEN, SUBSTITUTE, FIND, REPT, RIGHT and TRIM functions. Amazing formulas from Mr Excel Message Board.
From playlist Excel Series: Magic Tricks (3rd 200 videos)
The Computer Chronicles - MS-DOS 6.2 (1993)
Special thanks to archive.org for hosting these episodes. Downloads of all these episodes and more can be found at: http://archive.org/details/computerchronicles
From playlist Computer Chronicles Episodes on Software
CS105: Introduction to Computers | 2021 | Lecture 19.1 Strings
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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From playlist Science Unplugged: Special Relativity
Excel Magic Trick 1281: TEXTJOIN & CONCAT New Excel 2016 functions (14 Examples of Joining Items)
File: https://excelisfun.net/files/EMT1280-1281.xlsx Download File: https://excelisfun.net Learn about the new Excel 2016 functions TEXTJOIN and CONCAT. Compare and contrast these newer functions to the older methods of using the CONCATENATE function and the Ampersand. See some amazing ne
From playlist TEXTJOIN Function, New Excel 2016 Function, Playlist of Videos