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Topic: Class number

Related Topics

Unique factorization domain

Ring (mathematics)

Number theory

Disquisitiones Arithmeticae

	Class Number -- from Wolfram MathWorld
		Class numbers are usually studied in the context of the orders of number fields.
		When the class number of a ring of integers in a number field is 1, the ring corresponding to a given ideal has unique factorization and, in a sense, the class number is a measure of the failure of unique factorization in that ring.
		A class number formula is known for the full ring of cyclotomic integers, as well as for any subring of the cyclotomic integers.
	mathworld.wolfram.com /ClassNumber.html (1357 words)

	PlanetMath: class number formula
		is the class number, the number of elements in the ideal class group of
		Note: This is the most general “class number formula”.
		This is version 2 of class number formula, born on 2003-08-29, modified 2003-08-29.
	planetmath.org /encyclopedia/ClassNumberFormula2.html (169 words)

	[ELGIN] Glossary: Serial Number, Grade, Model, Class, etc.
		Class numbers, such as 114, which were all medium to low quality 12s model 3 watches.
		Similar to the grade number, the grade name can be used to identify the quality and rarity of a watch, but it is often too general to be as useful as the grade number.
		The model numbers determine things such as the general plate layouts, whether the watch was made for an open face case or a hunter case and the thickness of the movement.
	elginwatches.org /help/elgin_grade_class.html (1120 words)

	: Class NUMBER
		java.sql.SQLException - on over/underflow of the Oracle Number exponent and on overflow of the mantissa.
		java.sql.SQLException - on overflow of the Oracle Number exponent and on overflow of the mantissa.
		java.sql.SQLException - on overflow/underflow of the Oracle Number exponent or mantissa.
	www.oracle.com /technology/hosted_doc/jdev/jdbc/oracle/sql/NUMBER.html (3669 words)

	Class number formula - Wikipedia, the free encyclopedia
		is the number of complex embeddings of K.
		is the class number, the number of elements in the ideal class group of K.
		There result formulae stating that the class number is determined by the index of the cyclotomic units in the whole group of units.
	en.wikipedia.org /wiki/Class_number_formula (428 words)

	CLHS: System Class NUMBER (Site not responding. Last check: 2007-11-05)
		The function eql, when its arguments are both numbers, tests that they have both the same type and numerical value.
		Two numbers that are the same under eql or = are not necessarily the same under eq.
		In mathematics, the set of real numbers is traditionally described as a subset of the complex numbers, but in Common Lisp, the type real and the type complex are disjoint.
	www.lispworks.com /documentation/HyperSpec/Body/t_number.htm (145 words)

	More than a Number: Why Class Size Matters
		Teaching workload includes, but is often not limited to, the amount of time spent working, the number of classes taught, and the number of students in each class.
		The greater the number of students in class, the fewer the opportunities for students to participate orally.
		The larger the number of students in a class, the greater the amount of time devoted to classroom management rather than instruction.
	www.ncte.org /about/over/positions/category/class/107620.htm (2832 words)

	96-11207 Number Nine Class Action Complaint
		Excluded from the Class are defendants, any underwriters in the IPO, the officers and directors of the Company at all relevant times, members of their immediate families and their legal representatives, heirs, successors or assigns and any entity in which defendants have or had a control- ling interest.
		Plaintiff's claims are typical of the claims of the members of the Class as all members of the Class are similarly affected by defendants' wrongful conduct in violation of federal law that is complained of herein.
		Number Nine is liable as an issuer under Section 11 of the Securities Act and as a seller under Section 12(a)(2) of the Securities Act as set forth in the first and second claims herein.
	securities.stanford.edu /1005/NINE96/001.html (9863 words)

	Class Double
		This class wraps a value of the primitive type double in an object.
		In addition, this class provides a number of methods for converting a double to a String and a String to a double, as well as other constants and methods useful when dealing with a double.
		The number of digits is the minimum needed to uniquely distinguish the argument value from adjacent values of type double.
	www.geom.uiuc.edu /~slevy/si/u_pkg_java102/apibook/javaa6.htm (759 words)

	Classification and Call Number Fields (05X-08X) (Site not responding. Last check: 2007-11-05)
		The brackets that customarily surround alternate class/call numbers are not carried in the MARC record; they may be generated based on the presence of repeated $a subfields.
		The brackets that customarily surround call numbers for items not in LC are not carried in the MARC record; they may be generated for display.
		The field should not be used for classification numbers assigned from a source for which a subfield $2 source of number code would not be assigned.
	www.loc.gov /marc/bibliographic/ecbdclas.html (1308 words)

	Number class concept from the Java knowledge base (Site not responding. Last check: 2007-11-05)
		Number class concept from the Java knowledge base
		a class is a member of the default package
		code describing how the objects of the class are structured - i.e.
	www.site.uottawa.ca:4321 /java/Numberclass.html (383 words)

	Mathematics of Computation
		In all cases, we find that there is no abnormally large ``exceptional modulus'' of small class number, which agrees with the prediction of the Generalised Riemann Hypothesis.
		D. Goldfeld, The class number of quadratic fields and the conjectures of Birch and Swinnerton-Dyer.
		J. Littlewood, On the class number of the corpus
	www.ams.org /mcom/2004-73-246/S0025-5718-03-01517-5/home.html (734 words)

	Persistent::DataType::Number - A Floating Point and Integer Class (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-11-05)
		This is a floating point and integer class used by the Persistent framework of classes to implement the attributes of objects.
		This class is usually not invoked directly, at least not when used with the Persistent framework of classes.
		However, the constructor arguments of this class are usually of interest when defining the attributes of a Persistent object since the add_attribute method of the Persistent classes instantiates this class directly.
	www.bigsnow.org.cob-web.org:8888 /persistent/docs/Persistent/DataType/Number.html (705 words)

	Math 254 (Number Theory)
		This was the official course web page for Math 254B (Number Theory) at UC Berkeley, which I taught during the Spring 2002 semester.
		Math 254B took a detailed look at class field theory, the theory of abelian extensions of number fields, which extends the reciprocity laws of Gauss, Legendre, Hilbert et al.
		The Berkeley Number Theory Seminar meets Wednesdays from 3:10 to 4:00 PM in 891 Evans, and sometimes on Friday at the same time and place.
	www-math.mit.edu /~kedlaya/math254b.html (400 words)

	Class java.lang.Integer
		The Integer class is a wrapper for integer values.
		In Java, integers are not objects and most of the Java utility classes require the use of objects.
		Returns a new String object representing the specified integer as unsigned hexidecimal number.
	www.iastate.edu /~java/docs/api/java.lang.Integer.html (670 words)

	Number (JScience v3.2 API)
		Compares the magnitude of this number with that number.
		Returns a negative integer, zero, or a positive integer as this number is less than, equal to, or greater than the specified number.
		a negative integer, zero, or a positive integer as this number is less than, equal to, or greater than the specified number.
	jscience.org /api/org/jscience/mathematics/numbers/Number.html (496 words)

	699 Added Class Number (Site not responding. Last check: 2007-11-05)
		Whether the classification number is from the full or the abridged edition of the classification schedule.
		The class number was taken from the full edition.
		The class number was taken from the abridged edition.
	www.oclc.org /bibformats/en/6xx/699.shtm (293 words)

	Boat Names, by Class or Number? on SubmarineSailor.com
		So, for me, it was hard to relate to the "class of boat" because they were deploye we did use hull numbers rather than boat names.
		At best, without the hull numbers you could tell the class but you were lucky if you could spot something that would give the particular boat away.
		As a boat class gets older, changes are made that differentiate one boat from another to a sharp eyed individual.
	www.submarinesailor.com /history/BoatNames/NamesOrNumbers.asp (1027 words)

	Finding the class number h(d) of a primitive binary quadratic forms of positive discriminant d (via CobWeb/3.1 ... (Site not responding. Last check: 2007-11-05)
		Finding the class number h(d) of a primitive binary quadratic forms of positive discriminant d (via CobWeb/3.1 planetlab1.netlab.uky.edu)
		Finding the class number h(d) of primitive binary quadratic forms of positive discriminant d
		We use the PQa continued fraction algorithm of Lagrange to break the set into disjoint cycles, retaining one number from each cycle.
	www.numbertheory.org.cob-web.org:8888 /php/classnopos0.html (193 words)

	PHP Classes - Class: Generate Number Code
		This is a very simple class that can be used to generate random numbers.
		It can generate a number with a fixed number of digits.
		Optionally it may return the number as a string padded with spaces or zeros.
	www.phpclasses.org /browse/package/3137.html (93 words)

	On Gauss's class number problem and Columbia's faculty (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-11-05)
		On Gauss's class number problem and Columbia's faculty
		The class number h(D) counts how many reduced forms have the given discriminant, D. Gauss computed a table of the first few class numbers and conjectured his tables to be complete.
		The quest for an effective algorithm to answer Gauss's question runs the gamut of 20th century mathematical breakthroughs and buzzwords, from GRH and FLT to BSD and Sha.
	www.math.columbia.edu.cob-web.org:8888 /~welji/seminar/030705.html (179 words)

	Cornell Sheep Program - Bid for class number (Site not responding. Last check: 2007-11-05)
		Many of the serial numbers of the current blankets we have for sale correspond to recent and near-future class years.
		Specific available serial numbers may be reserved at an additional cost of $10.
		The available blanket page shows the blanket numbers that are available.
	www.ansci.cornell.edu /sheep/research/csf/blankets/classnumbers.html (128 words)

	Gauss's Class Number Conjecture -- from Wolfram MathWorld
		SEE ALSO: Class Number, Gauss's Class Number Problem, Heegner Number.
		Goldfeld, D. "The Class Number of Quadratic Fields and the Conjectures of Birch and Swinnerton-Dyer." Ann.
		Heilbronn, H. "On the Class Number in Imaginary Quadratic Fields." Quart.
	mathworld.wolfram.com /GausssClassNumberConjecture.html (217 words)

	Tables of class numbers of imaginary quadratic fields (Site not responding. Last check: 2007-11-05)
		Tables of class numbers of imaginary quadratic fields
		Tables of imaginary quadratic fields with even class numbers
		Tables of imaginary quadratic fields with odd class numbers
	www.numbertheory.org /classnos (34 words)

	Base One Number Class - Fix the loopholes in C++ high-precision arithmetic (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-11-05)
		You can easily replace numeric datatype declarations (double, int, unsigned long) and gain efficient, high-precision arithmetic on numbers and fractions with up to 100 decimal digits.
		We were able to incorporate Base One's Number class into our product in just over a week - that's how simple it is to integrate.
		Thanks to an extremely well-designed class, and the top-notch help we got from the Base One staff, we were able to provide the new capability with virtually no impact on overall performance...
	www.boic.com.cob-web.org:8888 /numintro.htm (225 words)

	Extending the native Number() class (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-11-05)
		« Extending the native Array() class · Code for the Args() classes »
		All original content is ©2004-2005 an elektrum press, all rights reserved.
		The code is the manual has not yet been fully tested against Internet Explorer.
	feather.elektrum.org.cob-web.org:8888 /appendix/number-ext.html (210 words)

	Class Number -- from Wolfram MathWorld (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-11-05)
		Class Number -- from Wolfram MathWorld (via CobWeb/3.1 planetlab1.netlab.uky.edu)
		Oesterlé, J. "Nombres de classes des corps quadratiques imaginaires." Astérique 121-122, 309-323, 1985.
		Show your math savvy with a MathWorld T-shirt.
	mathworld.wolfram.com.cob-web.org:8888 /ClassNumber.html (1366 words)

	class Number (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-11-05)
		This class provides some extended number parsing routines which also supports the extended unicode code character set and localization.
		Parses a number from a unicode string if the string is a decimal string (radix = 10) all unicode character are allowed, which are digits (not limited to 0 - 9).
		If typeChar is not given (= 0) it returns a class, which the value fits in
	acdk.sourceforge.net.cob-web.org:8888 /acdk/docs/ref/class_acdk__lang__Number.html (548 words)

	Quadratic Class Number Constant -- from Wolfram MathWorld (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-11-05)
		The quadratic class number constant is a constant related to the average behavior of class numbers of real quadratic fields.
		Cohen, H. A Course in Computational Algebraic Number Theory.
		Weisstein, Eric W. "Quadratic Class Number Constant." From MathWorld--A Wolfram Web Resource.
	mathworld.wolfram.com.cob-web.org:8888 /QuadraticClassNumberConstant.html (86 words)

	PHP Classes - Class: Secure Number Image Creator
		Generate an image with a random number or text
		This is a simple class that can be used to generate an image with a random number or text.
		The class can compute a random number, render the number or a given text in an image using the GD extension and then output the image in the GIF format.
	www.phpclasses.org /browse/package/2656.html (120 words)

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