## POLE

### Pole

In the mathematical field of complex analysis, a**pole**of a meromorphic function is a certain type of singularity that behaves like the singularity of <math> \scriptstyle \frac{1}{z^n} </math> at

*z*= 0. For a pole of the function

*f*at point

*a*the function approaches infinity as

*z*approaches

*a*.

*The above text is a snippet from Wikipedia: Pole (complex analysis)*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.

### pole

#### Noun

- Originally, a stick; now specifically, a long and slender piece of metal or (especially) wood, used for various construction or support purposes.
- A type of basic fishing rod.
- A long fiberglass sports implement used for pole-vaulting.
- A telescope used to identify birds, aeroplanes or wildlife.
- A unit of length, equal to a perch (¼ chain or 5½ yards).
- Pole position.

#### Noun (etymology 2)

- Either of the two points on the earth's surface around which it rotates; also, similar points on any other rotating object.
- A point of magnetic focus, especially each of the two opposing such points of a magnet (designated north and south).
- A fixed point relative to other points or lines.
- A contact on an electrical device (such as a battery) at which electric current enters or leaves.
- For a meromorphic function <math>f(z)</math>: a point <math>a</math> for which <math>f(z) \rightarrow \infty</math> as <math>z \rightarrow a</math>.
*The function <math>f(z) = \frac{1}{z-3}</math> has a single pole at <math>z = 3</math>*.

- The firmament; the sky.

#### Verb

- To propel by pushing with poles, to push with a pole.
*Huck Finn***poled**that raft southward down the Mississippi because going northward against the current was too much work.

- To identify something quite precisely using a telescope.
*He***poled**off the serial of the Gulfstream to confirm its identity.

- To furnish with poles for support.
*to***pole**beans or hops

- To convey on poles.
*to***pole**hay into a barn

- To stir, as molten glass, with a pole.

#### Verb (etymology 2)

- To induce piezoelectricity in (a substance) by aligning the dipoles.

*The above text is a snippet from Wiktionary: pole*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.