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 differential operator - Definition 

Differential operator (5827 bytes)
2: [[Category:Differential operators]]
3: ...or]] defined as a function of the differentiation operator. It is helpful, as a matter of notation first, t...
6: ... the derivative itself. Common notations for this operator include:
22: ==Operator methods==
24: ...[[Oliver Heaviside]], who considered differential operators of the form

Pseudo-differential operator (1909 bytes)
1: ...s are used extensively in the theory of [[partial differential equations]] and [[quantum field theory]].
3: ...e the effect of the operator. Pseudo-differential operators are ''pseudo-local'', which means informally tha...
5: Just as a differential operator can be expressed in terms of ''D'' = -id/d''x'' i...
9: ...duce a problem in analysis of pseudo-differential operators to an algebraic problem involving their symbols,...
13: * Michael E. Taylor, Pseudodifferential Operators, Princeton Univ. Press 1981. ISBN 0691082820

Differential (242 bytes)
1: A '''differential''' can mean one of several things:
3: * [[Differential (mathematics)]]
4: * [[Differential (mechanics)]]
5: * [[High-voltage differential signalling|Differential signaling]] is used to carry high speed digital s...

Differential cryptanalysis (4867 bytes)
1: '''Differential cryptanalysis''' is a general form of [[cryptanal...
3: ==Origins of differential cryptanalysis==
4: ...n the design process was kept secret. Within IBM, differential cryptanalysis was known as the "T-attack", or "Ti...
6: ...over, FEAL with up to 31 rounds is susceptible to differential cryptanalysis.
9: ...l patterns in their distribution. In conventional differential cryptanalysis, one particular ciphertext differen...

Differential encoding (625 bytes)
1: '''Differential encoding''': Encoding in which [[signal]] signif...
3: <i>Note:</i> An example of differential encoding is [[phase-shift keying]] (PSK) in which...

Locking differential (4179 bytes)
1: ...rovides increased traction compared to a standard differential.
3: ...area of soft ground. In such a situation an open differential will continue to spin the wheel with little or no...
5: ...el, regardless of traction conditions. A locking differential will automatically "unlock" when one wheel is req...
7: Locking differentials are used in various applications:
9: [[Race cars]] often use locking differentials in order to maintain traction during high speed ...

Differential form (4233 bytes)
1: ...ept in the fields of [[multivariate calculus]], [[differential topology]] and [[tensors]].
44: In [[differential geometry]], a '''differential form''' of degree ''k'' is a smooth section of th...
46: For example, the [[differential (mathematics)|differential]] of a smooth function on a manifold (a 0-form) i...
52: Differential forms of degree ''k'' are integrated over ''k'' d...
65: [[Category:Differential topology]]

Differential (mechanics) (5424 bytes)
1: [[Image:Differential free.png|frame|In this differential, input torque is applied to the ring gear (blue)....
2: [[Image:Differential locked.png|frame|If the left side gear (red) enco...
4: ...n [[automobile]] and other wheeled vehicles, a '''differential''' is a device, usually consisting of [[gear]]s, ...
8: Differentials are typically composed of a gear mechanism in wh...
12: ...ic differential described above, known as an open differential, suffers from one important problem, however. In ...

Differential rotation (794 bytes)
4: ...et)|Jupiter]] and [[Saturn_(planet)|Saturn]] show differential rotation.

Differential diagnosis (702 bytes)
1: '''Differential diagnosis''' is the process by which a [[medical ...

Differential hardening (509 bytes)
1: A '''differential hardening''' is a method used in [[forging]] [[sw...

Differential sail (652 bytes)
1: ...able effects such as the [[Casimir effect]]. The differential sail is a concept that would utilize cosmic backg...

Differential amplifier (1095 bytes)
1: ...], or op-amp. Given two inputs A and B, a perfect differential amplifier gives an output O:
7: ... with a single input; by grounding one input of a differential amplifier, a single-ended amplifier results.
9: ...tailed pair]], which is also usually found as the differential element in most op-amp [[integrated circuit]]s.

Differential TTL (2270 bytes)
1: ...The principle is similar to that of [[low-voltage differential signalling]] (LVDS), but with different voltage l...
3: ...ltages that cause errors at the receiver. With a differential pair of wires, roughly the same unwanted voltage ...
5: ...ntial TTL, when correctly terminated, is that the differential pair of wires forms a current loop. The driver s...
7: ...ial TTL is the most common type of [[high-voltage differential signalling]] ([[HVDS]]).
10: Differential TTL signalling was used in the [[Serial Storage A...

Differential equation (434 bytes)
1: ...vative]]s of a [[function]] appear as variables. Differential equations form the basic language of [[physics]].
3: Differential equations are divided into two types:
5: * An [[ordinary differential equation]] only contains ordinary derivatives.
6: * A [[partial differential equation]] contains partial derivatives.
8: [[Category:Differential equations]]

Differential signaling (350 bytes)
1: '''Differential signaling''' is a method of reducing the [[noise]...

Differential of the first kind (2418 bytes)
1: ...[coherent sheaf]] &Omega;<sup>1</sup> of [[Kahler differential]]s. In either case the definition has its origins...
3: The dimension of the space of differentials of the first kind, by means of this identificati...
9: ... been supported by modern theories of [[algebraic differential form]]s, both from the side of more [[Hodge theor...

Differential centrifugation (471 bytes)
1: '''Differential centrifugation''' is a procedure in which the [[h...
3: Differential centrifugation separates the homogenate into:

Kähler differential (2822 bytes)
1: In [[mathematics]], the '''Kähler differentials''' are a [[universal construction]] &Omega;<sup>...
5: ...hat provides an analogue of the construction of [[differential form]]s (1-forms). The idea is that there should ...
33: [[Category:Differential algebra]]

Differential WBC (377 bytes)
1: In [[oncology]], '''differential WBC counts''' are essential in the diagnosis of C...

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "differential operator".