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• Talk:Linear combination
  12 bytes (1 word) - 22:50, 25 November 2008
• Linear combination
  ...tiplication]] operations can be [[simplify (mathematics)|simplified]] to a linear combination of distinct vectors. Linear combinations are for this reason often used as ...e space with the property that every vector can be uniquely expressed as a linear combination of the basis vectors. A [[linear transformation]] can be defined briefly a
  911 bytes (137 words) - 22:56, 25 November 2008
• Template:Linear combination/Metadata
  | pagename = linear combination | abc = linear combination
  2 KB (229 words) - 22:03, 25 November 2008
• Linear combination/Definition
  177 bytes (27 words) - 09:33, 4 September 2009
• Linear combination/Related Articles
  117 bytes (13 words) - 23:00, 25 November 2008

Page text matches

• Linear combination
  ...tiplication]] operations can be [[simplify (mathematics)|simplified]] to a linear combination of distinct vectors. Linear combinations are for this reason often used as ...e space with the property that every vector can be uniquely expressed as a linear combination of the basis vectors. A [[linear transformation]] can be defined briefly a
  911 bytes (137 words) - 22:56, 25 November 2008
• Basis (linear algebra)/Definition
  ...r free module, and such that no element of the set can be represented as a linear combination of the others.
  245 bytes (42 words) - 06:20, 4 September 2009
• Vector space/Related Articles
  {{r|linear combination}}
  492 bytes (60 words) - 15:09, 28 July 2009
• Slater orbital/Definition
  Functions used as atomic orbitals in the linear combination of atomic orbitals molecular orbital method.
  141 bytes (18 words) - 04:48, 29 April 2009
• Linear independence/Definition
  ...y of a system of elements of a module or vector space, that no non-trivial linear combination is zero.
  149 bytes (23 words) - 16:48, 6 January 2009
• Span (mathematics)
  ...[[module (algebra)|module]] or [[vector space]] is the set of all finite [[linear combination]]s of that set: it may equivalently be defined as the [[intersection]] of a
  968 bytes (162 words) - 13:20, 7 February 2009
• Template:Linear combination/Metadata
  | pagename = linear combination | abc = linear combination
  2 KB (229 words) - 22:03, 25 November 2008
• Basis (linear algebra)/Advanced
  ...that every element of <math>M</math> can be written uniquely as a finite [[linear combination]] of elements of <math>A</math>. The module <math>M</math> is said to be f ...such that every element of the module can be uniquely written as a finite linear combination of elements of the module. An equivalent definition of a basis for a modul
  2 KB (371 words) - 00:36, 2 February 2009
• Linear independence
  ...(mathematics)|ring]] or of a [[vector space]], is one for which the only [[linear combination]] equal to zero is that for which all the coefficients are zero (the "trivi
  2 KB (307 words) - 16:08, 7 February 2009
• Basis (linear algebra)
  ...that every vector in <math>V</math> can be written uniquely as a finite [[linear combination]] of vectors in the basis. One may think of the vectors in a basis as buil
  3 KB (464 words) - 19:45, 1 December 2008
• Euclidean algorithm
  ...receding it, 1037, is the gcd. Now we want to write the gcd, 1037, as a [[linear combination]] of the two numbers we started with, in which the coefficients ''x'' and ' This gives 1037 as a linear combination of the two numbers in square brackets, which were among the successive rema
  7 KB (962 words) - 12:05, 3 May 2016
• Greatest common divisor
  as an integer linear combination of the numbers (''a'',''b'') = ''ra'' + ''sb'' (with integers ''r'' and '' Since every such linear combination is divisible by all divisors common to
  5 KB (797 words) - 04:57, 21 April 2010
• Vector (mathematics)
  {{Image|Euclidean plane.png|right|350px|Fig. 1. Linear combination of vectors by the parallelogram rule. Construction is known as "parallelog ...cal-align: 20%"><math>\overrightarrow{OR}</math></font> resulting from the linear combination of <font style = "vertical-align: 20%"><math>\overrightarrow{OP}</math></f
  4 KB (632 words) - 10:13, 6 January 2010
• Module
  ...ath>\mathbb{Z}/2\mathbb{Z}</math>, increasing all of the coefficients of a linear combination by <math>2</math> will result in the same element of the group.
  7 KB (1,154 words) - 02:39, 16 May 2009
• Closure operator
  ...enerated by a subset ''A'' may also be obtained as the set of all finite [[linear combination]]s of elements of ''A''.
  2 KB (414 words) - 03:00, 14 February 2010
• Elementary function
  ...<math>a</math>. The '''[[polynomial|polynomials]]''' then are [[finite]] [[linear combination|linear combinations]] of the monomials and the constant functions.
  8 KB (1,289 words) - 13:46, 26 May 2009
• Talk:Basis (linear algebra)
  * "every vector in V can be written uniquely as a finite linear combination of vectors in the basis". Is it necessary to say finite here? .... Or, if you use my definition of basis, it assumes you define the "empty linear combination" to be the zero vector . Aiming this article at someone with little or no
  11 KB (1,769 words) - 19:45, 1 December 2008
• Imaginary number
  Every complex number is the real linear combination of the '''real unit'''
  3 KB (468 words) - 17:28, 1 January 2010
• Slater determinant
  ...according to the Pauli principle. This problem can be overcome by taking a linear combination of two orbital products ...accurate theories (such as [[configuration interaction]] and [[MCSCF]]), a linear combination of Slater determinants is needed.
  11 KB (1,582 words) - 07:52, 23 September 2009
• Molecular orbital
  ...n function that is "smeared out" over a whole molecule. Usually an MO is a linear combination of [[atomic orbital]]s (an LCAO), which is a weighted sum of (almost) all a ...araday Soc., vol '''25''', p. 668 (1929).</ref> introduced the following ''linear combination of atomic orbitals'' (LCAO) way of writing an MO &phi;:
  8 KB (1,408 words) - 09:47, 24 April 2010