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 tangent vector - Definition 

Null vector (vector space) (207 bytes)
1: ... written 0, that is the [[neutral element]] for [[vector addition]].

Tangent (4859 bytes)
1: In [[mathematics]], the word "'''tangent'''" has two distinct, but [[etymology|etymologica...
5: ... the important case of a [[circle]], however, the tangent line will intersect the curve at only one point.)
7: ... intersects the black curve at two points. It is tangent to the curve at one point.
9: :[[Image:Tangent.png|Black curve and red tangent]]
11: ...neral, one can have an (''n'' - 1)-dimensional '''tangent hyperplane''' to an (''n'' - 1)-dimensional [[man...

Tangent piano (3165 bytes)
1: The '''tangent piano''' is a ''very'' rare [[keyboard instrument...
3: ... ''Tangentenflügel'' and the [[England|English]] 'tangent piano.'
5: ...he earliest decade of the [[19th century]], Spath tangent pianos were sent all over the globe and given a w...
7: ...i]] recently released a recording for them on the tangent piano.
10: ...varies, as does one's personal description of the tangent piano's sound. Nevertheless, many people consider...

Tangent mechanism (403 bytes)
1: A tangent mechanism, when referred to in a [[tangent piano]], strikes the string and remains in contac...

Tangent, Oregon (2612 bytes)
1: '''Tangent''' is a city located in [[Linn County, Oregon]]. ...
4: ...on-Tangent.png|right|Location of Tangent, Oregon]]Tangent is located at 44°33'0" North, 123°6'33" W...

Tangent galvanometer (1716 bytes)
1: ... measurement of current. It works on the basis of tangent law of [[magnetism]].
10: From tangent law, <math>B = B_H Tan\theta</math>, i.e.

Tangent space (9935 bytes)
1: ...the tangent spaces have the same [[dimension of a vector space|dimension]], equal to the dimension of the ...
3: ...nifold of [[Euclidean space]] one can picture the tangent space in this literal fashion.
5: ... the 'test to be a manifold' fails. See [[Zariski tangent space]].
7: ... the tangent vector attached to that point by the vector field.
9: ...erentiable manifold of twice the dimension, the [[tangent bundle]] of the manifold.

Tangent bundle (1254 bytes)
1: ...h as a set is the [[disjoint union]] of all the [[tangent space]]s at every point in the [[manifold]] with ...
3: The tangent bundle of manifold ''M'' is usually denoted by ''...
4: ... ''v'' &isin; ''T''<sub>''x''</sub>(''M''), the [[tangent space]] at ''x''. If ''M'' is ''n''-dimensional ...
7: ''See also'': [[Cotangent bundle]]
10: ...thworld.wolfram.com/TangentBundle.html MathWorld: Tangent Bundle]

2401 Penitent Tangent (4449 bytes)
5: <big>'''2401 Penitent Tangent'''</big>
8: [[Image:Penitenttangent.jpg|125px|2401 Penitent Tangent]]<br />
28: '''2401 Penitent Tangent''' is a [[fictional character]] featured in the [...
32: ...gh Prophet of Regret]] demonstrates that Penitent Tangent employs the same amount of regulation and protoco...
34: .... Before anything more can be said, 2401 Penitent Tangent is taken away.

2401 Pentinent Tangent (661 bytes)
1: Not much is known about 2401 Pentinent Tangent, an AI (artificial intelligence) who makes a shor...

Zariski tangent space (2759 bytes)
1: ...ngent space''' is a construction that defines a [[tangent space]], at a point ''P'' on an [[algebraic varie...
15: ...rigin, rather than insist directly that it is a [[vector space]].)
17: ...singular points'' of ''C'' are the cases when the tangent space has dimension 2.
19: ...ngular point''' is then that the dimension of the tangent space is the [[dimension of an algebraic variety|...
25: ...stract analogue, and is also called the [[Zariski tangent space]]. It has an interpretation in terms of [[h...

Tangent half-angle formula (4957 bytes)
1: ...These identities are known collectively as the '''tangent half-angle formulae''' because of the definition ...
3: Technically, the existence of the tangent half-angle formulae stems from the fact that the ...
9: ...e center of projection at (&minus;1,0). Thus, the tangent half-angle formulae give conversions between the ...
13: The tangent half-angle formulae are as follows. Let
38: ...at the following useful relationship for the [[arctangent]] in terms of the [[natural logarithm]]

P-vector (604 bytes)
1: ...on]]s of the [[wedge product]] of ''p'' [[tangent vector]]s. It is the [[Dual space|dual]] of a [[p-form]]...
3: ...p=2 and 3, they are often called bivectors and trivectors.
5: ...ensions. These meanings are different from ''p''-vectors for ''p'' of 3 or 4.)

Four-vector (3033 bytes)
1: ...r (spatial)|vector]] in a four-dimensional real [[vector space]], whose components transform like the [[sp...
3: ...the '''[[Minkowski space]]''' is the "event" four-vector, defined as:
6: It is called an "event" vector because of [[Albert Einstein]]'s interpretation w...
8: ...'A''') formed from the scalar potential &phi; and vector potential '''A''', and the [[four-momentum]] (''E...
10: The [[scalar product]] between four-vectors ''a'' and ''b'' is defined as follows:

Vector (2516 bytes)
1: The word '''vector''' means "carrier" in [[Latin]]; it is derived fr...
3: ...to any [[Set|element]] of an abstractly-defined [[vector space]] over a [[field (mathematics)|field]].
4: ...al coordinates/directions, i.e. an element of a [[tangent bundle]].
5: ...]], [[unit vector]], [[null vector]] and [[normal vector]].
6: ...mes;1 (''column vector'') or 1&times;''n'' (''row vector'').

The Vector (417 bytes)
1: ...gy]]'s school newspaper. Established in 1924, The Vector was initially the school newspaper for Newark Col...
3: The Vector calls itself "The Voice of NJIT... since 1924".

Vector Sigma (1028 bytes)
1: [[Image:Vectorsigma.jpg|thumb|right|Vector Sigma]]
2: ...imus]] and the [[Autobot Matrix of Leadership]]. Vector Sigma requires a special key to activate. The tw...
4: ...organic material into machine life and metal, and Vector Sigma was apparently used in the original convers...
6: Vector Sigma was destroyed in the G1 continuity in the s...

Vector (biology) (2886 bytes)
1: ..., infecting him or her. This sense of "biological vector" is the primary one in [[epidemiology]] and in co...
3: ...[gene]] to its target [[cell (biology)|cell]]. A "vector" in this sense is a vehicle for delivering geneti...
5: ...|purification techniques]], transformation with a vector is a way of making a small number of DNA molecule...
7: ...a vector," they may be referring to either of its vector aspects or often both.
9: ==Major types of vectors==

Vector (computing) (538 bytes)
1: A '''vector''' in [[computing]], more precisely, when talking...
3: Some common vectors:
8: ...patial)|Vector]] for other meanings of the term ''vector''.

Probability vector (492 bytes)
1: ...'' or '''stochastic vector''' is a [[vector space|vector]] with non-negative entries that add up to one.
3: Here are some examples of probability vectors:

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