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In mathematics, the principal part has several independent meanings.
## Laurent series

principal part of the Laurent series of a function f(z),
## Calculus

Consider the difference between the function differential and the actual increment:
## Distribution theory

The term principal part is used for certain kinds of distribution having a singular support at a single point.
## See also

## External links

- $sum\_\{k=-infty\}^infty\; a\_k\; (z-a)^k$

- $sum\_\{k=-infty\}^\{-1\}\; a\_k\; (z-a)^k$

If f(z) has an essential singularity at p, then the principal part is an infinite sum, and vice versa.

- $frac\{Delta\; y\}\{Delta\; x\}=f\text{'}(x)+varepsilon$

- $Delta\; y=f\text{'}(x)Delta\; x\; +varepsilon\; Delta\; x\; =\; dy+varepsilon\; Delta\; x$

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Last updated on Monday July 28, 2008 at 08:16:42 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Monday July 28, 2008 at 08:16:42 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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