Linear B (4083 bytes)
1: [[Image:Linear_B.jpg|thumb|200px|Linear B script sample]]
2: '''Linear B''' is the script that was used for writing [[Myc...
4: ... BC|14th]] and [[13th century BC|13th]] centuries BC.
5: ...Mycenaean language. It is partly [[syllabary|syllabic]], with additional logographic signs.
7: ...[April 6]] he discovered a significant hoard of tablets (measuring 5x10 inches).

Linear (3480 bytes)
1: ...[Latin]] word ''linearis'', which means ''created by lines''.
3: ...h satisfies the following two properties (but see below for a slightly different usage of the term):
5: ...sp;+ ''y'') = ''f''(''x'') + ''f''(''y'')
6: * Homogeneity: ''f''(α''x'') = α''f''(''x'') for all α
8: ...h additivity and homogeneity are considered to be linear systems. These two rules, taken together, are oft...

Linear A (2190 bytes)
1: ...ts_filt.jpg|thumb|left|180px|Linear A etched on tablets found in Akrotiri, [[Santorini]].]]
2: '''Linear A''' is an [[List of undeciphered languages|undec...
4: ...pt, [[Linear B]], was deciphered in the [[1950s]] by [[Michael Ventris]] as representing an ancient f...
6: [[Image:Linear_A_vase_filt.jpg|thumb|right|180px|Linear A etched on a vase, also found in Akrotiri.]]
7: ...of invasions by [[Mycenean Greeks]] around [[1400 BC]].

Linear interpolation (4726 bytes)
1: '''Linear interpolation''' is a process employed in [[mathe...
3: ==How to do linear interpolation==
5: <table border="0" width="220" cellpadding="3" align="right...
6: <tr><td>[[Image:Linear_interpolation.png]]</td></tr>
7: </table>

Linear algebra (7377 bytes)
1: ...e nonlinear models can often be approximated by a linear model.
3: See also [[list of linear algebra topics]].
7: ...4, [[Hermann Grassmann]] published his book ''Die lineare Ausdehnungslehre '' (see References).
11: ...]s, thus forming the first example of a [[Real number|real]] [[vector space]].
13: ...Most of the useful results from 2 and 3-space can be extended to these higher dimensional spaces. Alt...

Linear density (236 bytes)
1: ...lated as the [[mass]] per unit [[length]] of the object.
5: {{stub}}

Linear motor (4449 bytes)
1: ...ducing a [[torque]] ([[rotation]]), it produces a linear [[force]] along its length.
3: ...ect up to a very high speed and then release the object. They are usually used for studies of [[hyper...
5: ...or is used to accelerate beams of [[ion]]s or [[subatomic particle]]s, it is called a [[particle acce...
8: ...mb|AirTrain at JFK. Note aluminum induction strip between rails.]]
9: ...acting on conductors in the field. Any conductor, be it a loop, a coil or simply a piece of plate met...

Linear function (1000 bytes)
1: A '''linear function''' is a [[Function (mathematics)|mathema...
7: This function can also be written
13: ...ntercept]], which gives the point of intersection between the graph of the function and the ''y''-axi...
28: [[de:Lineare Funktion]]

Linear combination (10750 bytes)
1: ...inations''' are a concept central to [[linear algebra]] and related fields of mathematics.
2: Most of this article deals with linear combinations in the context of a [[vector space]] over...
4: <blockquote style="padding: 1em; border: 2px dotted purple;">
5: '''Definition''' &nbsp; Suppose that ''K'' is a field and ''V'' is a v...
6: ...sub>''n''</sub> are scalars, then the ''linear combination of those vectors with those scalars as coe...

Linear span (5321 bytes)
1: ...linear algebra)|basis]] the vectors need not be [[linearly independent]].
3: The linear span is an example of a [[set-builder notation]].
7: ...tors '''v'''₁,...,'''v'''_''n'' in ''V'' then
9: ...+ \cdots + a_n \mathbf{v}_n : a_1 ,\ldots, a_n \subseteq K \} \,</math>
11: ...' of '''v'''₁,...,'''v'''_''n''.

Linear subspace (9579 bytes)
1: ...'vector subspace''') is important in [[linear algebra]] and related fields of [[mathematics]].
2: ... serves to distinguish it from other kinds of [[subspace]]s.
6: ... field of [[real number]]s), and let <var>V</var> be a [[vector space]] over <var>K</var>.
8: Suppose that <var>W</var> is a [[subset]] of <var>V</var>.
9: ...<var>V</var> has, then it is a '''subspace''' of&nbsp;<var>V</var>.

Linear cryptanalysis (1746 bytes)
1: ...ly applicable attacks on block ciphers; the other being [[differential cryptanalysis]].
3: ...tsui and Yamagishi, 1992). Subsequently, Matsui published an attack on the [[Data Encryption Standard...
5: ...-linear expressions. Evidence of security against linear cryptanalysis is usually expected of new cipher d...
12: * Matsui, M. (1993). Linear cryptanalysis method for DES cipher. EUROCRYPT 19...
16: ...ial on linear (and differential) cryptanalysis of block ciphers]

Linear city (2600 bytes)
1: ...ustrial strip. The sectors of a linear city would be:
5: # a green belt or buffer zone with major highway,
6: ...a band of residential buildings and a "children's band",
10: ...d to the end of each band, so that the city would become ever longer, without growing wider.
12: ...Engels' statement that "education and labour will be united".)

Linear classifier (266 bytes)
1: ... that uses a [[linear function]] of its inputs to base its decision on.
4: * [[Fisher's linear discriminator]]
5: * [[Naive Bayes classifier]] for a simple log-likelihood sum ...

Linear mass (498 bytes)
1: '''Linear mass''' is a measure of [[mass]] per unit of [[le...
3: The [[SI]] unit of linear mass is the [[kilogram]] per [[metre]] (kg/m).
9: '''&mu;''' is the '''linear mass''' of the string (measured in kilograms per ...

Linear independence (5493 bytes)
1: [[de:Lineare Unabh&auml;ngigkeit]]
6: ...ebra]] [[Category:Algebra]] [[Category:Linear algebra]]
7: ... which are not linearly independent are called '''linearly dependent'''.
11: Let ''V'' be a vector space over a [[field (mathematics)|fiel...
12: .../sub>, ''a''₂, ..., ''a''_''n'' in ''K'' not all equal to zero such that:

Linear time (1767 bytes)
1: ...'n''. Put another way, the running time increases linearly with the size of the input. For example, a proc...
3: ...a,b''. For more information, see the article on [[Big O notation]].
5: ...standard computation model are now able to run in linear time. There are several hardware technologies wh...
7: ...an perform better than n*lg(n) where lg is log of base 2.
8: ...-- List algorithms from libc and stl which run in linear time.-->

Linear functional (1415 bytes)
1: ...ics)|field]] ''k'', then a linear functional is a linear function from ''V'' to ''k''.
3: ...s often simply called the dual space. If V is a [[Banach space]] then so is its continuous dual.
5: ...inear functional is [[integral|integration]]: the linear transformation
7: :<math>f \mapsto \int_a^b f(x)\, dx</math>
9: is a linear functional from the space of integrable functions to the reals.

Linear medium (313 bytes)
1: ...ny medium which is intended to be accessed in a [[linear]] fassion.
5: *a [[book]]
8: {{msg:stub}}
11: 2 The definition is circular, i.e., it refers back to where it is listed without really explainin...

Linear animal (373 bytes)
1: ...all the test animals should be as similar as possible.
10: {{stub}}

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