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Topic: Number field

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Kummer extension

	Field Number Query
		Note that the related field collector service may be used to find out the identity of a given field collector in many cases even if this service can provide no details of his collections.
		The field collector service also may provide useful notes about a collector which may help to interpret the results of the search for a given field number.
		Note that sometimes more than one plant will be returned with the same field number — this may be because some collectors have used numbers to refer to localities rather than particular specimens collected at that locality.
	ralph.cs.cf.ac.uk /Cacti/fieldno.html (504 words)

	BlueShoes JavaScript Number Field (aka spinbutton, spinedit, numericupdown)
		An input field for numbers to use in forms, GUI's or wherever you wish.
		Define any number range, or set no bounds.
		A field is a field, even if the fancy javascript is not supported.
	www.blueshoes.org /en/javascript/numberfield (106 words)

	professional shopping cart and catalog system
		Clicking on a invoice number will result in the invoice to be displayed in the center window.
		Be sure to also choose the carrier in the pulldown menu to the right of the tracking number field.
		Below these fields is a table displaying all products ordered along with the quantity ordered and the quantity already shipped.
	www.ezwebcatalog.com /faq.html (1054 words)

	PlanetMath: number field
		, the rational numbers, is called a number field (sometimes called algebraic number field).
		See Also: algebraic number theory, examples of prime ideal decomposition in number fields, examples of fields, abelian extensions of quadratic imaginary number fields, number theory, residue degree, regulator, discriminant ideal, class number, existence of Hilbert class field, multiplicatively congruent, class number formula, examples of totally real fields, prime ideal decomposition in quadratic extensions of
		This is version 13 of number field, born on 2001-12-21, modified 2006-10-15.
	planetmath.org /encyclopedia/QuadraticField.html (216 words)

	Learn more about Complex number in the online encyclopedia. (Site not responding. Last check: )
		In mathematics, the term "complex" when used as an adjective means that the field of complex numbers is the underlying number field considered.
		The absolute value of a complex number expressed as a matrix is equal to the square root of the determinant of that matrix.
		The conjugate of the complex number z corresponds to the transformation which rotates through the same angle as z but in the opposite direction, and scales in the same manner as z; this can be described by the transpose of the matrix corresponding to z.
	www.onlineencyclopedia.org /c/co/complex_number.html (1629 words)

	AlgebraicNumberFields
		objects in the input generate their number fields, and therefore it may find a common field that is not the smallest possible.
		An algebraic number is an algebraic integer iff its
		The regulator of a number field K is the lattice volume of the image of the group of units of K under the logarithmic embedding
	documents.wolfram.com /v5/Add-onsLinks/StandardPackages/NumberTheory/AlgebraicNumberFields.html (893 words)

	12: Field theory and polynomials
		Here a local field is the quotient field of a ring with a unique maximal ideal (such as a power series ring); thus for example the field of Laurent series R((x)) is a local field, as is a p-adic field Q_p.
		Fields of functions of algebraic varieties (essentially the quotient fields of rings F[x1,...,xn]/(P) where P is a multivariable polynomial) are more properly treated in 14: Algebraic Geometry, although these are really just discussions of fields of finite transcendence degree over the ground field.
		Likewise fields of meromorphic functions and local rings of germs of functions are usually treated with their applications to 30: Complex Analysis, 32: Several complex variables, and 58: Analysis on manifolds.
	www.math.niu.edu /~rusin/known-math/index/12-XX.html (1782 words)

	Using the Number field
		When you perform a Quick search or an Advanced search you can specify the chapter number of the Act (or the equivalent number for other legislation types, such as the ‘S.I. number’ for a Statutory Instrument) that you want to look for in the ‘Number’ field.
		The search will return any items of legislation with this number that are within the selected ‘Legislation type’ criteria.
		Note that if you want to search for a Northern Ireland Order in Council by the ‘N.I. series’ number, type that number in the ‘N.I. Series Number’ box that you get for an ‘Advanced search’.
	www.statutelaw.gov.uk /help/Using_the_number_field.htm (161 words)

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