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County seat From Wikipedia, the free encyclopedia Jump to navigation Jump to search For the clothing retailer, see County Seat (store). A county seat is an administrative center, seat of government, or capital city of a county or civil parish. The term is used in Canada, China, Romania, Taiwan and the United States. County towns have a similar function in the United Kingdom and Republic of Ireland, and historically in Jamaica. Contents 1 Function 2 Taiwan 2.1 Lists of Taiwan county seats by county 3 United States 3.1 U.S. counties with more than one county seat 3.2 Other variations 3.2.1 New England 3.2.2 Virginia 3.2.3 South Dakota 3.2.4 Louisiana 3.2.5 Alaska 3.2.6 Vermont and eastern Canada 3.3 Lists of U.S. county seats by state 4 See also 5 References 6 External links Function [ edit ] In most of the United States, counties are the po...

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2 Up until now, I've mainly worked with the polynomial ring $mathbb{R}[x_1,...,x_n]$ or the corresponding field of fractions. But I can't think of an example of a field of functions that contain non-polynomial functions. What examples are there of a field of functions that contain the set of real rational functions and the natural logarithm function $ln(x)$ ? Thanks! commutative-algebra field-theory extension-field share | cite | improve this question asked Jan 4 at 17:23 ChrisWong ChrisWong 150 8 ...