MANHATTAN DISTANCE

Domain	Definition
Math	The distance between two points measured along axes at right angles. In a plane with p1 at (x1, y1) and p2 at (x2, y2), it is \|x1 - x2\| + \|y1 - y2\|. (references)
Source: compiled by the editor from various references; see credits.

Specialty Definition: Manhattan distance

The Manhattan distance, also known as the L₁-distance is the distance between two points measured along axes at right angles. In a plane with p₁ at (x₁, y₁) and p₂ at (x₂, y₂), the Manhattan distance is:

, when m = 1.

It is so named because it is the distance a car would drive in a city laid out in square blocks, like Manhattan (neglecting that in Manhattan there are one-way streets and some oblique streets).

L₂-distance is called Euclidean distance.

Anagrams: MANHATTAN DISTANCE

Scrabble® YAWL-Verified Anagrams
	Words within the letters "a-a-a-a-c-d-e-h-i-m-n-n-n-s-t-t-t"
	-5 letters: antasthmatic.
Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.

Alternative Orthography: MANHATTAN DISTANCE

Hexadecimal (or equivalents, 770AD-1900s) (references)

4D 41 4E 48 41 54 54 41 4E 44 49 53 54 41 4E 43 45

Leonardo da Vinci (1452-1519; backwards) (references)

Binary Code (1918-1938, probably earlier) (references)

01001101 01000001 01001110 01001000 01000001 01010100 01010100 01000001 01001110 00100000 01000100 01001001 01010011 01010100 01000001 01001110 01000011 01000101

HTML Code (1990) (references)

&#77 &#65 &#78 &#72 &#65 &#84 &#84 &#65 &#78 &#32 &#68 &#73 &#83 &#84 &#65 &#78 &#67 &#69

ISO 10646 (1991-1993) (references)

004D 0041 004E 0048 0041 0054 0054 0041 004E 0044 0049 0053 0054 0041 004E 0043 0045

Encryption (beginner's substitution cypher): (references)

MANHATTAN DISTANCE

Specialty Definition: MANHATTAN DISTANCE

Math