Distance | Mathematical chess problems | Metric geometry

Chebyshev distance

In mathematics, Chebyshev distance (or Tchebychev distance), maximum metric, or L∞ metric is a metric defined on a vector space where the distance between two vectors is the greatest of their differences along any coordinate dimension. It is named after Pafnuty Chebyshev. It is also known as chessboard distance, since in the game of chess the minimum number of moves needed by a king to go from one square on a chessboard to another equals the Chebyshev distance between the centers of the squares, if the squares have side length one, as represented in 2-D spatial coordinates with axes aligned to the edges of the board. For example, the Chebyshev distance between f6 and e2 equals 4. (Wikipedia).

Video thumbnail

An introduction to the Gromov-Hausdorff distance

Title: An introduction to the Gromov-Hausdorff distance Abstract: We give a brief introduction to the Hausdorff and Gromov-Hausdorff distances between metric spaces. The Hausdorff distance is defined on two subsets of a common metric space. The Gromov-Hausdorff distance is defined on any

From playlist Tutorials

Video thumbnail

01 Scientific Notation Conversions Worked Example

looking at the average distance from the earth to the moon

From playlist Exponents

Video thumbnail

The Moon

An introduction to the size of the Moon, the distance to the Moon, the relation of the 28-day cycle of the Moon to a month and understanding the phases of the Moon.

From playlist Cosmology and astronomy | Physics | Khan Academy

Video thumbnail

What is the Distance to the Moon?

In this short explainer, Universe Today publisher Fraser Cain demonstrates just how far away the Moon really is, and explains the methods scientists use to discover its distance. Did you know the Moon is slowly drifting away from us? --------- The Moon is such a familiar object in the sk

From playlist Planets and Moons

Video thumbnail

Ex: Find the Shortest Distance Between Two Locations North and West

This video explains how to determine the distance between locations due North and due West from a starting point. http://mathispower4u.com

From playlist Using the Pythagorean Theorem

Video thumbnail

Teach Astronomy - Astronomical Units

http://www.teachastronomy.com/ The astronomical unit is defined as the mean distance between the Earth and the Sun. It has to be defined as the mean because the orbit is elliptical by a couple of percent. The astronomical unit is 150 million kilometers or 98 million miles. This sets the

From playlist 11. Interplanetary Bodies

Video thumbnail

Distance Formula given two points

In this video, we review how to calculate the distance if we are given the value of two points

From playlist Geometry

Video thumbnail

Teach Astronomy - Light Year

http://www.teachastronomy.com/ The vast distances to the nearest stars encourage astronomers to use a new unit of distance. Whereas meters and kilometers work well on the Earth, and the astronomical unit is the appropriate unit for scales within the solar system, the distance scale to the

From playlist 14. Stars

Video thumbnail

4.6.5 Chebyshev Bounds: Video

MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015

Video thumbnail

Every Distance in Data Science (Almost 100K Subs!)

0:00 Intro 2:19 Euclidean Distance 5:47 Manhattan Distance 9:14 Minkowski Distance 12:49 Chebyshev Distance 15:40 Cosine Distance 19:35 Hamming Distance 20:17 Haversine Distance Lasso Regression : https://www.youtube.com/watch?v=jbwSCwoT51M Curse of Dimensionality : https://www.youtube.c

From playlist Data Science Basics

Video thumbnail

Weird notions of "distance" || Intro to Metric Spaces

Visit https://brilliant.org/TreforBazett/ to get started learning STEM for free, and the first 200 people will get 20% off their annual premium subscription. Check out my MATH MERCH line in collaboration with Beautiful Equations ►https://www.beautifulequation.com/pages/trefor Weird, fun

From playlist Cool Math Series

Video thumbnail

CMPSC/Math 451, Feb 2, 2015. Error Theorem. Introduction to splines. Wen Shen

Error Theorem for polynomial interpolation. Examples. Introduction to splines. Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I

From playlist Numerical Computation spring 2015. Wen Shen. Penn State University.

Video thumbnail

12/05/2019, Nicolas Brisebarre

Nicolas Brisebarre, École Normale Supérieure de Lyon Title: Correct rounding of transcendental functions: an approach via Euclidean lattices and approximation theory Abstract: On a computer, real numbers are usually represented by a finite set of numbers called floating-point numbers. Wh

From playlist Fall 2019 Symbolic-Numeric Computing Seminar

Video thumbnail

Astronomy - Measuring Distance, Size, and Luminosity (6 of 30) Distance to Our Sun: 2

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how Wendolin calculated the distance to our sun using a telescope.

From playlist ASTRONOMY 17A MEASURING DISTANCE SIZE LUMINOSITY

Video thumbnail

Probability: Chebyshev's Inequality Proof & Example

Today, we prove Chebyshev's inequality and give an example.

From playlist Probability

Video thumbnail

Daniel Kuhn: "Wasserstein Distributionally Robust Optimization: Theory and Applications in Machi..."

Intersections between Control, Learning and Optimization 2020 "Wasserstein Distributionally Robust Optimization: Theory and Applications in Machine Learning" Daniel Kuhn - École Polytechnique Fédérale de Lausanne (EPFL) Abstract: Many decision problems in science, engineering and economi

From playlist Intersections between Control, Learning and Optimization 2020

Video thumbnail

Nexus Trimester - Gábor Lugosi (Pompeu Fabra University) 1/2

How to estimate the mean of a random variable? - Part 1 Gábor Lugosi (Pompeu Fabra University) March 14, 2016 Abstract: Given n independent, identically distributed copies of a random variable, one is interested in estimating the expected value. Perhaps surprisingly, there are still open

From playlist 2016-T1 - Nexus of Information and Computation Theory - CEB Trimester

Video thumbnail

Astronomy - Ch. 3: Motion of the Moon (12 of 12) Aristarchus: Distance to the Sun?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how Aristarchus calculated the distance between the Earth and Moon.

From playlist ASTRONOMY 3 MOTION OF THE MOON

Video thumbnail

Describing Distributions with Skewness, Kurtosis, Modality, & z-Scores Business Statistics (Week 6A)

The normal curve is the most important distribution in statistics. When distributions differ from normality, we describe them with kurtosis (leptokurtic, platykurtic, mesokurtic), with skewness (positive or negative), and with modality (unimodal, bimodal, multimodal). In addition to those

From playlist Basic Business Statistics (QBA 237 - Missouri State University)

Related pages

Polytope | Vector space | King's graph | Distance | Coordinate vector | Chess | Taxicab geometry | Pafnuty Chebyshev | Moore neighborhood | Mathematics | Cube | Sphere | Infinity | Radius | Uniform norm | Minkowski distance | Lp space | Octahedron | Circle | Injective metric space