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- Where a is a scalar value. Equations of this form are called '''quadratic forms'''. Based on the quadratic forms of a matrix, we can create a certain number of categories for special types ...782 bytes (129 words) - 19:01, 9 October 2006
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- Where a is a scalar value. Equations of this form are called '''quadratic forms'''. Based on the quadratic forms of a matrix, we can create a certain number of categories for special types ...782 bytes (129 words) - 19:01, 9 October 2006
- ...e basic form of this function is: F(X) = ax² + bx + c. Where, ax² is the ''quadratic term'', bx is the ''linear term'' and c is the ''independent term'' or "con ...e will be concave. If a = 0, then we have a linear function rather than a quadratic function. ...1 KB (253 words) - 02:57, 4 September 2007
- ...h that <math>i\,</math> and <math>-i\,</math> are the two solutions of the quadratic, ...of a point on the argand (complex) plane, showing the polar and cartesian forms]] ...7 KB (1,123 words) - 07:30, 31 May 2007
- ...arametrics. Recognition of other parametric forms is also useful, and more forms are introduced and dealt with in the 4-unit topic, [[../../../4-Unit/Conics ...esults are possible; for instance, in the standard paramaterisation of the quadratic, the gradient is equal to the parameter, <math>t</math>; ...9 KB (1,514 words) - 15:12, 9 April 2007
- # linear, linear, irreducible quadratic # irreducible quadratic, irreducible quadratic ...8 KB (1,238 words) - 18:28, 7 January 2008
- Real numbers come in several varieties and forms, integer / decimal, rational / irrational. This is called a ''quadratic equation'' and it follows ...9 KB (1,436 words) - 20:27, 21 September 2007
- ...e theory of Clifford algebras is intimately connected with the theory of [[quadratic form]]s and [[orthogonal group|orthogonal transformation]]s. Clifford algeb ...ch contains and is generated by a [[vector space]] ''V'' equipped with a [[quadratic form]] ''Q''. The Clifford algebra ''C''ℓ(''V'',''Q'') is the "frees ...34 KB (5,512 words) - 09:01, 19 January 2007
- Other forms of the equation are x = a, used for vertical lines of an infinite gradient |Degree 2 - Quadratic - <math>ax^2 + bx + c</math> . In this case y = <math>x^2</math> || Degree ...9 KB (1,593 words) - 12:05, 7 January 2008
- ...product of linear factors (of the form <math>ax+b</math>) and irreducible quadratic factors (of the form <math>ax^2+bx+c</math> with <math>b^2-4ac<0</math>). ...or we have <math>b^2-4ac<0</math>, otherwise it is possible to factor that quadratic piece further. For example if <math>Q(x) = x^3-3x^2 - 2x</math> then we ...28 KB (4,804 words) - 03:55, 4 March 2008
- ...o evaluate the limit at this point. Can you see why? We need to expand the quadratic first. ...differentiate the basic forms and apply the substitution method. By basic forms we mean generating functions of the form: ...10 KB (1,717 words) - 20:41, 21 September 2007
- For example, this set forms the set of all even numbers: This set forms the set of all solutions to the general quadratic: ...8 KB (1,400 words) - 22:15, 12 October 2007
- ...as circles, ellipses, or catenaries can be satisfactorily approximated by quadratic Bézier curves, although this may require some mathematical toil. If, in add Most drawing commands have one of the two forms ...21 KB (2,931 words) - 22:18, 11 January 2008
- Other forms of the equation are <math>x = a</math>, used for vertical lines of infinte ...out and then [[A-level_Mathematics/C1/Equations|factorise]] the resulting quadratic. ...6 KB (1,055 words) - 09:57, 10 June 2006
- unity and equations can be cast in dimensionless forms. convert metres to feet and inches on job application forms, or convert energies ...9 KB (1,496 words) - 02:33, 28 November 2007
- ...e two equations are basically the same, perhaps just different versions or forms of each other. Either one could be mathematically manipulated to produce t ...cepts for these two linear equations, we place them in the slope-intercept forms. Subtract 3x from both sides of both equations. ...20 KB (3,295 words) - 02:08, 18 December 2007
- quadratic interpolation until the required accuracy is reached. Once in the quadratic region swift convergence to any accuracy is assured. ...17 KB (1,946 words) - 13:17, 8 October 2006
- For example, this set forms the set of all even numbers: This set forms the set of all solutions to the general quadratic: ...18 KB (2,983 words) - 14:16, 10 January 2008
- ...inverse proportion, compound growth [only positive integer exponents] and quadratic functions.) *Simple quadratic functions. ...35 KB (5,023 words) - 14:22, 21 July 2006
- ...n consecutive terms in a number pattern, and the general term is therefore quadratic) and hence: ...d difference between consecutive terms indicating that the general term is quadratic ...46 KB (6,980 words) - 14:23, 21 July 2006
- First, let us say we want to solve the quadratic equation x^2 = 16 for x. The solutions are x = -4 and x = 4. To do this, yo MATLAB can solve some simple forms of ODEs. Unlike with the integration and algebraic solving techniques, the ...16 KB (2,657 words) - 21:53, 21 November 2007