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A polynomial from
 to
is
linear if it has form
with a and b scalars. It is
quadratic if it has form:
with a, b and c scalars. These notions generalize
to higher dimensions. A polynomial from
to is
linear if it has form
with b an n-dimensional row vector and a a
scalar. It is quadratic if it has form
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[4] |
with c an n n
matrix, b an n-dimensional row vector and a a
scalar. Without loss of generality, we may assume c is
symmetric. For example, the quadratic polynomial
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[5] |
can be expressed in form [4] with
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[6] |
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b = ( 0 1 0 ) |
[7] |
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a = 17 |
[8] |
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 complex
number A number of the form a + bi, where a and b
are real, and i is the imaginary square root of –1.
interpolation Any procedure for fitting a function to a set of points in
such a manner that the function intercepts each of the points.
method of least squares
Any of several techniques for fitting a curve to data so as to
minimize the sum of squared differences between the curve and data
points.
Taylor
series expansion In calculus, a power series obtained as a
limit of Taylor polynomials that may approximate or equal the
function from which it is constructed. |
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http://www.riskglossary.com
copyright © Glyn A. Holton,
2006
Although the information in
this website has been presented with care and obtained from sources the author believes to be reliable, there is no guarantee that it is
accurate. Such information may be incomplete, condensed, outdated or presented with
errors. The content of the website is for information purposes only. It is
provided gratuitously, so the author shall not be liable under any
theory for any damages suffered by any user. The author does not
provide investment advice, and this website is not a vehicle for communicating
investment advice. |
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