Metric geometry | Mathematical chess problems | Norms (mathematics) | Digital geometry | Distance
A taxicab geometry or a Manhattan geometry is a geometry in which the usual distance function or metric of Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the absolute differences of their Cartesian coordinates. The taxicab metric is also known as rectilinear distance, L1 distance, L1 distance or norm (see Lp space), snake distance, city block distance, Manhattan distance or Manhattan length, with corresponding variations in the name of the geometry. The latter names allude to the grid layout of most streets on the island of Manhattan, which causes the shortest path a car could take between two intersections in the borough to have length equal to the intersections' distance in taxicab geometry. The geometry has been used in regression analysis since the 18th century, and today is often referred to as LASSO. The geometric interpretation dates to non-Euclidean geometry of the 19th century and is due to Hermann Minkowski. In two dimensions, the taxicab distance between two points and is . That is, it is the sum of the absolute values of the differences between both sets of coordinates. (Wikipedia).
Intersection of Planes on Geogebra
In this video, we look at a strategy for finding the intersection of planes on Geogebra.
From playlist Geogebra
GeoGebra Link: https://www.geogebra.org/m/pwTTqNfh
From playlist Geometry: Dynamic Interactives!
Introducing the Concept of Congruence
From playlist GeoGebra Geometry
When Pi is Not 3.14 | Infinite Series | PBS Digital Studios
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi You’ve always been told that pi is 3.14. This is true, but this number is based on how we measure distance. Find out what happens to pi when we change the way we measur
From playlist An Infinite Playlist
The Many Uses for the Midpoint/Center Tool
From playlist GeoGebra Geometry
Perpendicular Bisector (Definition + 1 Theorem)
Link: https://www.geogebra.org/m/pFyDfP2D
From playlist Geometry: Dynamic Interactives!
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
How Parabolas Can Help Describe Nature and Business | Fortune's Algorithm #some2
Submission For Summer Of Math Exposition round 2. Geogebra 3D Graphing Calculator - https://www.geogebra.org/3d?lang=en 3b1b Cone Conic Section - https://www.youtube.com/watch?v=pQa_tWZmlGs Demos Interactive Proof - https://www.desmos.com/calculator/ujh5y7e10z 00:00 - Introduction (Wh
From playlist Summer of Math Exposition 2 videos
Distance as a function -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Euclidean and non-Euclidean metrics -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
Lec 13 | MIT 14.01SC Principles of Microeconomics
Lecture 13: Welfare economics Instructor: Jon Gruber, 14.01 students View the complete course: http://ocw.mit.edu/14-01SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 14.01SC Principles of Microeconomics
Similarity in Right Triangles (I)
Link: https://www.geogebra.org/m/fswR8fRV
From playlist Geometry: Dynamic Interactives!
2.1 The Rectangular Coordinate System and Graphs
OpenStax College Algebra
From playlist OpenStax College Algebra
GeoGebra resource: https://www.geogebra.org/m/pwTTqNfh
From playlist Geometry: Dynamic Interactives!
Your Daily Equation #3: Lorentz Contraction
Episode 03 #YourDailyEquation: Last week, Brian Greene spoke about time dilation and the impact of motion on the passage of time. Today, as the counterpart to time dilation, Brian Greene will unpack length contraction or what is also known as the Lorentz contraction. If you want to hear mo
From playlist Your Daily Equation with Brian Greene
Group theory 29:The Jordan Holder theorem
This lecture is part of an online course on group theory. It covers the Jordan-Holder theorem, staring that the simple groups appearing in a composition series of a finite group do not depend on the composition series.
From playlist Group theory
Angle Bisector Construction: 2 Methods (without Words or Numbers)
Links: https://www.geogebra.org/m/AErPynA8 https://www.geogebra.org/m/HuYcfqCf
From playlist Geometry: Dynamic Interactives!
Can a disk be a square? It turns out the answer is yes! In this cool video, I show something neat, namely that if you choose the right distance (metric), then a disk can be a square, which can also be a diamond! Enjoy this beautiful adventure through analysis and geometry, and fall in love
From playlist Topology