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• 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
• 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
• 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
• 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
• Bessel functions
  In addition, a linear combination of these solutions is also a solution:
  3 KB (459 words) - 07:58, 13 July 2012
• Solid harmonics
  By a simple linear combination of solid harmonics of &plusmn;''m'' these functions are transformed into re ====Linear combination ====
  16 KB (2,612 words) - 09:02, 9 February 2010