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→Parametrized Functions: no need to break lines when using the Math extension
Carandraug (talk | contribs) m (→Parametrized Functions: no need to break lines when using the Math extension) |
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==== Problem ==== | ==== Problem ==== | ||
One sometimes needs to define a family of functions depending on a set of parameters, e.g., | One sometimes needs to define a family of functions depending on a set of parameters, e.g., <math>f (x, y, z; a, b, c)</math> where <math>x, y, z</math> denote a the variables on which the function operates and <math>a, b, c</math> are the parameters used to chose one specific element of the family of functions. | ||
For example, let's say we need to compute the time evolution of the elongation of a spring for different values of the spring constant <math>k</math> | |||
For example, let's say we need to compute the time evolution of the elongation of | |||
a spring for different values of the spring constant | |||
<math> k </math> | |||
==== Solution ==== | ==== Solution ==== | ||
We could solve the problem with the following code: | |||
We could solve the problem with the following code | |||
{{Code|Solve spring equation for different values of the spring constant|<syntaxhighlight lang="octave" style="font-size:13px"> | {{Code|Solve spring equation for different values of the spring constant|<syntaxhighlight lang="octave" style="font-size:13px"> | ||
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==== Discussion ==== | ==== Discussion ==== | ||
In the above example, the function "sprime" represents a family of functions of | In the above example, the function "sprime" represents a family of functions of the variables <math>x, t</math> parametrized by the parameter <math>k</math>. | ||
the variables | |||
<math>x,t</math> | |||
parametrized by the parameter | |||
<math>k</math>. | |||
The [http://www.gnu.org/software/octave/doc/interpreter/Anonymous-Functions.html#Anonymous-Functions anonympus function] | The [http://www.gnu.org/software/octave/doc/interpreter/Anonymous-Functions.html#Anonymous-Functions anonympus function] | ||
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@(x, t) sprime (x, t, k) | @(x, t) sprime (x, t, k) | ||
</pre> | </pre> | ||
is a function of only | |||
<math>x,t</math> | is a function of only <math>x, t</math> where the parameter <math>k</math> is 'frozen' to the value it has at the moment in the current scope. | ||
where the parameter | |||
<math>k</math> | |||
is 'frozen' to the value it has at the moment in the current scope. | |||
=== Distance between points === | === Distance between points === | ||