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 linear - Definition 

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 [[M...
5: The script was derived from an earlier script ([[Linear A]]) used for writing the [[Minoan]] language and...
9: [[Michael Ventris]] deciphered Linear B in [[1951]]–[[1953]].
11: Linear B has roughly 200 signs, divided in syllabic sign...

Linear (3480 bytes)
1: ...word '''linear''' comes from the [[Latin]] word ''linearis'', which means ''created by lines''.
3: In [[mathematics]], a '''linear''' [[function (mathematics)|function]] ''f''(''x'...
8: ...h additivity and homogeneity are considered to be linear systems. These two rules, taken together, are oft...
10: ...nes. Although it is possible for a function to be linear and unbounded, these functions are usually of lit...
12: ...n a [[differential equation]] can be expressed in linear form, it is particularly easy to solve by breakin...

Linear A (2190 bytes)
1: ...[Image:Linear_A_tablets_filt.jpg|thumb|left|180px|Linear A etched on tablets found in Akrotiri, [[Santorin...
2: '''Linear A''' is an [[List of undeciphered languages|undec...
4: A related script, [[Linear B]], was deciphered in the [[1950s]] by [[Michael...
6: [[Image:Linear_A_vase_filt.jpg|thumb|right|180px|Linear A etched on a vase, also found in Akrotiri.]]
7: ...[syllable|syllables]] associated with Linear B in Linear A writings produces words that are unrelated to a...

Linear interpolation (4726 bytes)
1: '''Linear interpolation''' is a process employed in [[mathe...
3: ==How to do linear interpolation==
6: <tr><td>[[Image:Linear_interpolation.png]]</td></tr>
27: ==Linear interpolation as approximation==
29: ...typically used to approximate the function ''f''. Linear interpolation can be regarded as a trivial exampl...

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: Linear algebra had its beginnings in the study of vector...
13: Modern Linear algebra has been extended to consider spaces of a...

Linear density (236 bytes)
1: The '''linear density''' of a one-dimensional object is calcula...

Linear motor (4449 bytes)
1: ...ducing a [[torque]] ([[rotation]]), it produces a linear [[force]] along its length.
3: ...ed transportation applications. High-acceleration linear motors are normally quite short, and are designed...
5: When a linear motor is used to accelerate beams of [[ion]]s or ...
9: ...ration designs, the force is produced by a moving linear [[electromagnetic field]] acting on conductors in...
11: Because of these properties, linear motors are often used in [[magnetic levitation|ma...

Linear function (1000 bytes)
1: A '''linear function''' is a [[Function (mathematics)|mathema...
28: [[de:Lineare Funktion]]

Linear combination (10750 bytes)
1: ...linear combinations''' 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]]...
6: ......,''a''<sub>''n''</sub> are scalars, then the ''linear combination of those vectors with those scalars a...
11: In that case, we often speak of ''a linear combination of the vectors ''v''<sub>1</sub>,...,...
12: ...S'' is a [[subset]] of ''V'', we may speak of ''a linear combination of vectors in S'', where both the 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]].
11: ... subspace|subspace]] ''S'' of ''V'' called the '''linear span''' of '''v'''<sub>1</sub>,...,'''v'''<sub>''...
21: ... every vector in ''S'' can be written as a unique linear combination of elements in the ''spanning set''.
27: ...1,1)}, but this set is not a basis, because it is linearly dependent.

Linear subspace (9579 bytes)
1: ...e''' (or '''vector subspace''') is important in [[linear algebra]] and related fields of [[mathematics]].
2: A linear subspace is usually called simply a ''subspace'' ...
53: ...sup> that is defined by a system of homogeneous [[linear equation]]s will yield a subspace.
80: ...cterise subspaces is that they are closed under [[linear combination]]s.
81: That is, <var>W</var> is a subspace [[iff]] every linear combination of ([[finite]]ly many) elements of <v...

Linear cryptanalysis (1746 bytes)
1: ...ped for [[block cipher]]s and [[stream cipher]]s. Linear cryptanalysis is one of two widely applicable att...
3: The discovery of linear cryptanalysis is attributed to [[Mitsuru Matsui]]...
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: ...d/Research/Papers/ldc_tutorial.html A tutorial on linear (and differential) cryptanalysis of block ciphers...

Linear city (2600 bytes)
1: ...l areas to the industrial strip. The sectors of a linear city would be:
12: The linear city design was first developed by [[Arturo Soria...
16: Magnitogorsk was to follow the "linear city" design, with rows of similar superblock nei...
18: ...resulted in a city that was more ‘rope-like’ than linear, and subjected the inhabitants to the noxious fum...

Linear classifier (266 bytes)
1: ...inear classifier''' is a classifier that uses a [[linear function]] of its inputs to base its decision on.
4: * [[Fisher's linear discriminator]]

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: ...bstract algebra]] [[Category:Algebra]] [[Category:Linear algebra]]
7: ... which are not linearly independent are called '''linearly dependent'''.
12: ...ub> are elements of ''V'', we say that they are ''linearly dependent'' over ''K'' if there exist elements ...
22: ...v''<sub>2</sub>, ..., ''v''<sub>''n''</sub> are ''linearly independent''.

Linear time (1767 bytes)
1: ...'n''. Put another way, the running time increases linearly with the size of the input. For example, a proc...
5: ...standard computation model are now able to run in linear time. There are several hardware technologies wh...
7: ...mber which this sorting algorithm will execute in linear time. However, for a general case, no sorting al...
8: ...-- List algorithms from libc and stl which run in linear time.-->
9: <!-- maybe list some linear-time algorithms? -->

Linear functional (1415 bytes)
1: ...ics)|field]] ''k'', then a linear functional is a linear function from ''V'' to ''k''.
3: ...opological vector space]] the space of continuous linear functionals, the ''continuous dual'', is often si...
5: ...inear functional is [[integral|integration]]: the linear transformation
9: is a linear functional from the space of integrable functions...
11: ...antum mechanical system can be identified with a linear functional. For more information see [[bra-ket n...

Linear medium (313 bytes)
1: ...ny medium which is intended to be accessed in a [[linear]] fassion.

Linear animal (373 bytes)
1: '''Linear animals''' are animals which are very close to ea...

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