Partition of an interval
Revision as of 01:28, 16 February 2008 by Shreyas patankar (talk | contribs) (New page: A '''Partition of an interval''' is a way to formalise the intutive notion of 'infinetesimal parts' of an interval. ==Definition== Let <math>[a,b]</math> be an interval of real numbers ...)
A Partition of an interval is a way to formalise the intutive notion of 'infinetesimal parts' of an interval.
Contents
Definition
Let ![$[a,b]$](http://latex.artofproblemsolving.com/8/e/c/8ecbd1ba3da8f2adef66a63f2ab32c47e63fa734.png)
be an interval of real numbers
A Partition 
is defined as the ordered n-tuple of real numbers 
such that
Norm
The Norm of a partition is defined as 
Tags
Let be a partition.
A Tagged partition $\mathcal\dot{P}}$ (Error compiling LaTeX. Unknown error_msg) is defined as the set of ordered pairs $\mathcal\dot{P}}=\{([x_{i-1},x_i],t_i)\}_{i=1}^n$ (Error compiling LaTeX. Unknown error_msg). The points 
are called the Tags.
See also
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