Everything2
Near Matches
Ignore Exact
Full Text
Everything2

orthogonal

"orthogonal" is also a: user

created by Fourier

(idea) by Fourier (?) (print)   ?   (I like it!) Sat Nov 13 1999 at 9:58:37

In geometry, means "perpendicular to." In integral calculus and Fourier analysis, a set of functions is orthogonal over an interval if and only if the integral of the product of any two of the functions is zero when the functions are different and nonzero when the functions are the same.

(idea) by ariels (2.8 d) (print)   ?   (I like it!) Sun Apr 09 2000 at 20:18:15

(computing:) By analogy with the mathematical meanings of the term, features are said to be orthogonal when they combine gracefully and in an expected manner, even if seemingly wholly unrelated.

For instance, the UN*X shells will let you use ls -t and head to let you find your 10 newest files, even though I doubt any of Bourne, Ritchie and that lot thought of this specific functionality.


(idea) by srkorn (2.4 y) (print)   ?   (I like it!) Wed Aug 16 2000 at 5:13:50

In linear algebra, a matrix is orthogonal if each row is perpendicular to every other row. This can be brute force tested by taking the dot product of every pair distinct rows, and ensuring that the result is zero in each case. Some orthogonal matrices:

[ 1 0 0 0 ]  [ -2  4  0 ]  [ 3-2i 13 ]
[ 0 1 0 0 ]  [  2 -1  0 ]  [ 3+2i -1 ]
[ 0 0 1 0 ]  [  0  0  3 ]
[ 0 0 0 1 ]

(idea) by thax (2.6 y) (print)   ?   (I like it!) Wed Nov 29 2000 at 2:42:44

Two vectors u,v in a Euclidean vector space V are orthogonal iff I(u,v)=0, where I is the inner product associated with V.
In R^n, using the standard inner product or "dot product", (a1, a2,...,an) and (b1,b2,...,bn) are orthoganal if a1*b1+a2*b2+...+an*bn=0.

(idea) by Jargon (1.8 y) (print)   ?   (I like it!) Thu Jul 19 2001 at 13:24:35

orphaned i-node = O = OS

orthogonal adj.

[from mathematics] Mutually independent; well separated; sometimes, irrelevant to. Used in a generalization of its mathematical meaning to describe sets of primitives or capabilities that, like a vector basis in geometry, span the entire `capability space' of the system and are in some sense non-overlapping or mutually independent. For example, in architectures such as the PDP-11 or VAX where all or nearly all registers can be used interchangeably in any role with respect to any instruction, the register set is said to be orthogonal. Or, in logic, the set of operators `not' and `or' is orthogonal, but the set `nand', `or', and `not' is not (because any one of these can be expressed in terms of the others). Also used in comments on human discourse: "This may be orthogonal to the discussion, but...."

--The Jargon File version 4.3.1, ed. ESR, autonoded by rescdsk.


(definition) by Webster 1913 (print) Wed Dec 22 1999 at 1:38:12

Or*thog"o*nal (?), a. [Cf. F. orthogonal.]

Right-angled; rectangular; as, an orthogonal intersection of one curve with another.

Orthogonal projection. See under Orthographic.

 

© Webster 1913.


printable version
chaos

Hairy ball theorem orphaned i-node Os When am I an adult?
Schur's Theorem Fourier analysis Drawbacks of the use of elephants as assault weapons gang bang
Perpendicular Orthogonally Head inner product
Euclidean vector space orthogonal polynomial EnergyStar Compliant Stochastic
orthogonal group Law of Demeter Orthographic Nerds, geeks, dorks and losers
C++: Checking units at compile time ARM1 Super 3 W-CDMA
Y'know, if you log in, you can write something here, or contact authors directly on the site. Create a New User if you don't already have an account.
  Epicenter
Login
Password

password reminder
register

Everything2 Help

Cool Staff Picks
Things you could have written:
warp core
The Blood is the Life: A Frightful Halloween Quest
Beer snob
Bud and Travis
Treasure Island
Things you can tell just by looking at her
Second Punic War
Indiana once tried to change the value of pi
Benny Hill
Invisible Man
Rosy fingered dawn
HOT DAMN!: Drinking, Debauchery, and Dastardly Deeds
Robert E. Lee
New Writeups
antigravpussy
One fly amongst many(person)
sam512
Moon Base Shackleton, 1978(fiction)
Pavlovna
toy boy(person)
XWiz
tear jerker(review)
Heitah
Anarchy is Order(idea)
jessicaj
July 26, 2008(dream)
Berek
ABBA(person)
devolution
k-hole(place)
Nadine_2
The Sound Of Madness(review)
SwimmingMonkey
Conversations with Fo Fo, the Loneliest dog in Purgatory(fiction)
locke baron
lynx(thing)
Simulacron3
Reality, Dimensions and the Natural Ontology(essay)
SubSane
Making Love to a 9-Foot Woman(person)
Ouzo
Thoughts(idea)
antigravpussy
I fall silent, listening. The breadcrumbs are talking about us(person)
This affordable entertainment brought to you by The Everything Development Company