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Search references for CLASS NUMBER. Phrases containing CLASS NUMBER
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Topics referred to by the same term
mathematics, class number may refer to Class number (group theory), in group theory, is the number of conjugacy classes of a group Class number (number theory)
Class_number
Formula in number theory
In number theory, the class number formula relates many important invariants of an algebraic number field to a special value of its Dedekind zeta function
Class_number_formula
Listing all imaginary quadratic fields with a given class number
In mathematics, the Gauss class number problem (for imaginary quadratic fields), as usually understood, is to provide for each n ≥ 1 a complete list of
Class_number_problem
number fields with class number 1. It is believed that there are infinitely many such number fields, but this has not been proven. The class number of
List of number fields with class number one
List_of_number_fields_with_class_number_one
In number theory, measure of non-unique factorization
In mathematics, the ideal class group (or class group) of an algebraic number field K {\displaystyle K} is the quotient group J K / P K {\displaystyle
Ideal_class_group
In mathematics, the Hurwitz class number H(N), introduced by Adolf Hurwitz, is a modification of the class number of positive definite binary quadratic
Hurwitz_class_number
Japanese planned class of battleships
The Number 13-class battleship was a planned class of four fast battleships to be built for the Imperial Japanese Navy (IJN) during the 1920s. The ships
Number_13-class_battleship
Generalization of "n-th" to infinite cases
(α + 1)-th number class is the cardinality immediately following that of the α-th number class. For a limit ordinal α, the α-th number class is the union
Ordinal_number
In group theory, equivalence class under the relation of conjugation
conjugacy class of a . {\displaystyle a.} The class number of G {\displaystyle G} is the number of distinct (nonequivalent) conjugacy classes. Conjugacy
Conjugacy_class
Linguistic category of nouns
In linguistics, a noun class is a particular category of nouns. A noun may belong to a given class because of the characteristic features of its referent
Noun_class
Natural number
quadratic field of class number two, where 163 is the largest such (Heegner) number of class one. 427 number is also the first number to hold a sum-of-divisors
21_(number)
Natural number
23 is the smallest discriminant of imaginary quadratic fields with class number 3 (negated), and it is the smallest discriminant of complex cubic fields
23_(number)
Library classification system
numbers for main classes, with fractional decimals allowing expansion for further detail. A library assigns a classification number that unambiguously
Dewey_Decimal_Classification
Concept in algebraic number theory
quadratic field Q ( − d ) {\displaystyle \mathbb {Q} ({\sqrt {-d}})} has class number 1. Equivalently, the ring of algebraic integers of Q ( − d ) {\displaystyle
Heegner_number
Set of topological invariants
particular in algebraic topology and differential geometry, the Stiefel–Whitney classes are a set of topological invariants of a real vector bundle that describe
Stiefel–Whitney_class
Finite extension of the rationals
K {\displaystyle K} has class number 1. Given a number field, the class number is often difficult to compute. The class number problem, going back to Gauss
Algebraic_number_field
Quadratic homogeneous polynomial in two variables
in quadratic fields. This allows the class number of a quadratic field to be calculated by counting the number of reduced binary quadratic forms of a
Binary_quadratic_form
Branch of number theory
group in algebraic geometry). The number of elements in the class group is called the class number of K. The class number of Q(√-5) is 2. This means that
Algebraic_number_theory
Natural number
smallest prime number p for which the real quadratic field Q[√p] has class number greater than 1 (namely 3). A cousin prime with 83. An emirp in base 10
79_(number)
Natural number
cyclotomic field Q ( ζ n ) {\displaystyle \mathrm {Q} (\zeta _{n})} has class number 1 {\displaystyle 1} (or unique factorization), preceding 60 (that is
84_(number)
Family of diesel and electric multiple units from Siemens
received the class number 460 by the Eisenbahnbundesamt, the federal railway authority (the unpowered middle carriages have the class number 860). The 15
Siemens_Desiro
Natural number
fifth discriminant of imaginary quadratic fields with class number 5, where the 131st prime number 739 is the fifteenth such discriminant. Meanwhile, there
131_(number)
Characteristic classes of vector bundles
differential geometry and algebraic geometry, the Chern classes are characteristic classes associated with complex vector bundles. They have since become
Chern_class
Natural number
of imaginary quadratic fields with class number of 7, negated (see also Heegner numbers). 71 is the largest number which occurs as a prime factor of an
71_(number)
Used to count, measure, and label
natural numbers can be represented by classes of equivalent sets. For instance, the number 3 can be represented as the class of all sets that have exactly three
Number
Social class
social class system composed of working class and middle class (with the exception of a small number of wealthy billionaires). The American upper class is
Upper_class
Natural number
the imaginary quadratic field Q(√–d) has class number = 11. Wikimedia Commons has media related to 167 (number). Prime curiosities: 167 Sloane, N. J. A
167_(number)
Association of cohomology classes to principal bundles
of characteristic classes of total degree n with the fundamental class. The number of distinct characteristic numbers is the number of monomials of degree
Characteristic_class
French general purpose stealth frigates
The La Fayette class (also known as FL-3000 for "Frégate Légère de 3,000 tonnes", or FLF for Frégate Légère Furtive) is a class of general purpose frigates
La_Fayette-class_frigate
Natural number
field Q ( − n ) {\displaystyle \mathbb {Q} ({\sqrt {-n}})} has class number 3. "Prime number information". mathworld.wolfram.com. Sloane, N. J. A. (ed.)
307_(number)
Characteristic class for real vector bundles
the Pontryagin classes, named after Lev Pontryagin, are certain characteristic classes of real vector bundles. The Pontryagin classes lie in cohomology
Pontryagin_class
Function whose domain is the positive integers
function "expresses some arithmetical property of n". There is a larger class of number-theoretic functions that do not fit this definition, for example, the
Arithmetic_function
Registry number for locomotives and multiple units
Digits 5–8 are a four-digit class number, 9–11 the three-digit serial number of the vehicle within its class. For class numbers for vehicles in the existing
UIC identification marking for tractive stock
UIC_identification_marking_for_tractive_stock
Hitachi tri-mode train
Stubbings, David (17 March 2026). "Grand Central tweaks Cleethorpes plan - confirms class number of tri-mode sets". Rail Magazine. Retrieved 18 March 2026.
British_Rail_Class_820
Class of 0-6-0 freight engines designed by Oliver Bulleid
produce a highly functional design. The class lasted in service until July 1966, and the first member of the class, number C1, has been preserved by the National
SR_Q1_class
Pattern-recognition performance metrics
a class is the number of true positives (i.e. the number of items correctly labelled as belonging to the positive class) divided by the total number of
Precision_and_recall
Czech diesel motor coach class
repairs and additions that retain the class number, or large refurbishments such as ČD Class 814 or ZSSK Class 813, and have a second modernization since
ČSD_Class_M_152.0
Field in algebraic number theory
In algebraic number theory, the Hilbert class field E {\displaystyle E} of a number field K {\displaystyle K} is the maximal abelian unramified extension
Hilbert_class_field
Planned class of German Navy frigates
F126 or Niedersachsen-class frigate (Fregatte 126) was a planned German frigate class intended to replace the F123 Brandenburg-class frigates in the German
Niedersachsen-class_frigate
Natural number
such that the imaginary quadratic field Q(√–d) has class number = 19. 4311 - 3311 is a prime number. For all integers n from 1 to 42, the value of 311
311_(number)
US classification system for railroads
companies in systems"). The Class III category was dropped in 1956 but reinstated in 1978. By 1963, the number of Class I railroads had dropped to 102;
Railroad_classes
Natural number
the natural number following 11 and preceding 13. Twelve is the 3rd superior highly composite number, the 3rd colossally abundant number, the 5th highly
12_(number)
Natural number
happy number. 239 is the smallest positive integer d such that the imaginary quadratic field Q(√−d) has class number = 15. 239 is the smallest number that
239_(number)
The Number 64 class (Chinese: 六十四號; pinyin: Liùshísì Hào), also known as the Monfalcone light cruisers or Monfalcone type light cruisers, was a planned
Number_64-class_cruiser
Numbering and classification system
many sub-classes were redesignated to better align the locomotives to be numbered in that sub-class with the sub-class number. Thus, class 47 was originally
British Rail locomotive and multiple unit numbering and classification
British_Rail_locomotive_and_multiple_unit_numbering_and_classification
number (or prime) is a natural number greater than 1 that has no divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of
List_of_prime_numbers
Class of US nuclear ballistic missile submarines
The Ohio class of nuclear-powered submarines includes the United States Navy's 14 ballistic missile submarines (SSBNs) and its 4 cruise missile submarines
Ohio-class_submarine
Grammatical number
linguistics, singulative number and collective number (abbreviated sgv and col) are terms used when the grammatical number for multiple items is the
Singulative_number
Class of American 2-8-0 locomotive built for service overseas during World War II
FS Class 736 class.[citation needed] Algeria, Class 140-U – number unknown Morocco, Class 140-B – number unknown Tunisia, Class 140-250 – number unknown
USATC_S160_Class
Class of an Irish rail trainset
number 22531–540,641,741,642,742,643,743,644,744,645,745. There have been attempts to improve the fuel economy of the 22000 Class. In 2008 the class were
IÉ_22000_Class
Number equal to the sum of its proper divisors
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number
Perfect_number
class 600 engines were superheated, fitted with Caprotti valve gear and reclassified as class 625 machines between 1929 and 1933. Their class number changed
FS_Class_625
Class of prototype electric multiple unit
was renumbered as a Class 316 unit, number 316999. To enable it to work on the AC electrification, a pantograph trailer from a Class 313 unit 313034 was
British Rail Classes 316 and 457
British_Rail_Classes_316_and_457
Class of 3164 German 2-10-0 locomotives
class number now had to consist of 3 figures, the designations 051, 052 and 053 had to be introduced in addition to 050. As a result, the old Class 50
DRB_Class_50
remainder theorem class field The class field theory concerns abelian extensions of number fields. class number 1. The class number of a number field is the
Glossary_of_number_theory
Part of the Kodaira classification
surfaces of class VII are non-algebraic complex surfaces studied by (Kodaira 1964, 1968) that have Kodaira dimension −∞ and first Betti number 1. Minimal
Surface_of_class_VII
Field (mathematics) generated by the square root of an integer
of binary quadratic forms. There remain some unsolved problems. The class number problem is particularly important. For a nonzero square free integer
Quadratic_field
Class of steam locomotives
Harry Wainwright to become B1 class. Twenty B Class engines were built by Neilson, Reid and Company and numbered 440-459. A further nine were built at the
SER_B_class
Electric tram family built in Melbourne, Australia
Australia. As well as Melbourne, W-class trams operate on tourist and heritage systems across the world. A number of older variants have been withdrawn
W-class_Melbourne_tram
Subfield of number theory
a special case of the analytic class number formula, and in those terms reads that the Gaussian field has class number 1. The factor 1 4 {\displaystyle
Special_values_of_L-functions
Airline concept
A business class airline is an airline concept which emerged during the mid-first decade of the 21st century a number of airlines that operated all-business
Business_class_airline
Diesel-electric locomotives used by Philippine National Railways
The 5000 class or the GE U6B units feature number signs when they arrived in 1992, which are also found on the last batch of the 900 Class which consists
PNR_5000_class
Railway locomotive
starting with the 141 class. From the early 1970s onwards several locomotives of this class dropped the "B" prefix from their fleet number when re-liveried
CIÉ_121_Class
Freedom-class cruise ship, launched 2007
Independence of the Seas is a Freedom-class cruise ship operated by Royal Caribbean International. The 15-deck ship was built in the Aker Finnyards Turku
Independence_of_the_Seas
British steam locomotives
development of Churchward's 4500 Class with larger side tanks and increased water capacity. 100 were built numbered 4575–4599 and 5500–5574. 15 (Nos.
GWR_4575_Class
Class of 4-4-0 passenger tank locomotive
LSWR numbering policy, the number of the first locomotive of a new design became the number of the class. Since the first locomotive was numbered 46, the
LSWR_46_class
South African electric locomotive
receive this class number. The locomotive body is a welded monocoque design, constructed of steel plates and profiled members. The Class 22E locomotive
South_African_Class_22E
Designation for departmental locomotives
engineering duties. They were therefore of several different classes, lumped together for numbering purposes. Some locomotives were converted from redundant
British_Rail_Class_97
Class of 69 204hp diesel-mechanical shunting locomotives
The British Rail Class D2/5 built by Andrew Barclay Sons & Co. were reported in several sources as having received the TOPS class number 05, though this
British_Rail_Class_05
Class of German shunting locomotives
the 5 Köf 11 prototypes) were given the class number 332, the 3 slower Köf 10 prototypes received class number 331; when the maximum speed was raised to
DB_Class_Köf_III
have been a number of TOPS class numbers assigned to proposed locomotives in the UK that have not been built for one reason or another. Class 18 – A proposed
List of British Rail unbuilt locomotive classes
List_of_British_Rail_unbuilt_locomotive_classes
Class of Soviet diesel-electric patrol submarines
The Foxtrot class was the NATO reporting name of a class of diesel-electric patrol submarines that were built in the Soviet Union. The Soviet designation
Foxtrot-class_submarine
E Class Together with the letter representing the number of driving axles, a two-digit numeral following the letter indicates a class. The number distinguishes
Japan Railways locomotive numbering and classification
Japan_Railways_locomotive_numbering_and_classification
Biquadratic field Quadratic reciprocity Ideal class group Dirichlet's unit theorem Discriminant of an algebraic number field Ramification (mathematics) Root of
List of algebraic number theory topics
List_of_algebraic_number_theory_topics
Diesel-electric locomotives used by Philippine National Railways
4 digits, the numbering scheme for the new 900 class has three and seems to follow the numbering scheme of the Manila Railroad 800 class USA locomotives
PNR_900_class
Class of 285 Japanese 2-8-2 locomotives
The name consists of a "D" for the four sets of driving wheels and the class number 52 for tender locomotives that the numbers 50 through 99 were assigned
JNR_Class_D52
Class of 55 two-cylinder 4-6-2 locomotives
The BR Standard Class 7, otherwise known as the Britannia Class, is a class of 4-6-2 "Pacific" type steam locomotive designed under Robert Riddles for
BR_Standard_Class_7
Type of prime number
root of unity. The prime number 2 is often considered regular as well. The class number of the cyclotomic field is the number of ideals of the ring of
Regular_prime
The KUR EC3 class, later known as the EAR 57 class, was a class of 1,000 mm (3 ft 3+3⁄8 in) gauge 4-8-4+4-8-4 Garratt-type articulated steam locomotives
KUR_EC3_class
Dust-free room for research or production
number and size of particles permitted per volume of air. Large numbers like "class 100" or "class 1000" refer to FED-STD-209E, and denote the number
Cleanroom
mathematics, a ring class field is the abelian extension of an algebraic number field K associated by class field theory to the ring class group of some order
Ring_class_field
Class of heavy cruisers built for the Royal Navy of the United Kingdom
The County class was a class of heavy cruisers built for the Royal Navy and Royal Australian Navy in the years between the First and Second World Wars
County-class_cruiser
integer 1525 = heptagonal number, Mertens function zero 1526 = number of conjugacy classes in the alternating group A27 1527 = number of 2-dimensional partitions
1000_(number)
Class of Australian 4-6-2 locomotives
The WAGR Ec class was a class of 4-6-2 heavy passenger and goods Vauclain compound locomotives operated by the Western Australian Government Railways
WAGR_Ec_class
the ideal class group. The ray class group is finite. Its order is the ray class number. The ray class number is divisible by the class number of K. Lang
Modulus (algebraic number theory)
Modulus_(algebraic_number_theory)
Natural number
A002854 (Number of unlabeled Euler graphs with n nodes; number of unlabeled two-graphs with n nodes; number of unlabeled switching classes of graphs
2000_(number)
Widely exported German frigate design
warships.[citation needed] Ten MEKO 200 frigates were built to the Anzac-class design: eight for the Royal Australian Navy, and two for the Royal New Zealand
MEKO_200
Class of Polish electric locomotives
painted in the livery in February 2008. Szóstka ("The six") – from the class number Anglik ("Englishman") – from the country of origin Polish locomotives
PKP_class_EU06
West Germanic language
copula verb to be. The seven word classes are exemplified in this sample sentence: English nouns are only inflected for number and possession. New nouns can
English_language
Study of numbers that are not solutions of polynomials with rational coefficients
and indeed it fails to detect that the number e is transcendental. But his work did provide a larger class of transcendental numbers, now known as Liouville
Transcendental_number_theory
international competitive sailing" and satisfy a number of criteria regarding the number of boats of that class, their international distribution, and the rules
International_class
Branch of algebraic number theory concerned with abelian extensions
In mathematics, class field theory (CFT) is the fundamental branch of algebraic number theory whose goal is to describe all the abelian Galois extensions
Class_field_theory
(later Class 219). The class number 219 was reused after the merger of Deutsche Bahn and the Deutsche Reichsbahn for the East German DR Class 119. In
DB_V_160_family
Numbering used by New South Wales Government Railways
road number. A letter was selected arbitrarily and placed before the first number allotted to each class. e.g. the 93-class became the A.93-class. Letters
NSWGR steam locomotive classification
NSWGR_steam_locomotive_classification
Danish railways electric locomotive
inherited from Railion; the locomotives received class number 86 whilst retaining the original locomotive number. DSB EA 3004 and 3010 was withdrawn from service
DSB_Class_EA
Class of Australian 4-6-0 locomotives
class. The class was used extensively for performance testing, and thus the development and trial of a number of technical improvements. The 36 class
New South Wales C36 class locomotive
New_South_Wales_C36_class_locomotive
Family of high-speed electric multiple unit trains
debuted on a class 408 train with line number 17. All subsequent units will be tout the redesigned seating. Like the Velaro D Class 407, the class 408 does
Siemens_Velaro
Natural number
mathematical proof that 47 was equal to all other integers. The number became a meme among the class, which spread once the academic year began and snowballed
47_(number)
Class of English steam locomotives
The SECR N class is a type of 2-6-0 ("mogul") steam locomotive designed in 1914 by Richard Maunsell for mixed-traffic duties on the South Eastern and
SECR_N_class
Royal Navy ballistic missile submarine class
The Vanguard class is a class of nuclear-powered ballistic missile submarines (SSBNs) in service with the Royal Navy. The class was introduced in 1994
Vanguard-class_submarine
CLASS NUMBER
CLASS NUMBER
Surname or Lastname
English
English : from the medieval female personal name Cass, a short form of Cassandra. This was the name (of uncertain, possibly non-Greek, origin) of an ill-fated Trojan prophetess of classical legend, condemned to foretell the future but never be believed; her story was well known and widely popular in medieval England.
Girl/Female
Muslim
Glass
Surname or Lastname
North German variant of Laas 2.Jewish (Ashkenazic)
North German variant of Laas 2.Jewish (Ashkenazic) : unexplained.English : nickname from Middle English lesse, lasse ‘smaller’ (from Old English lǣssa ‘less’), perhaps also used in the sense ‘younger’.
Female
English
English short form of Latin Cassandra, CASS means "she who entangles men."Â
Girl/Female
English
Cassandra was a Trojan prophetess, daughter of King Priam. A diminutive of Casirnir, Cassandra,...
Boy/Male
English Latin Irish Welsh
Wealthy man.
Boy/Male
Greek Latin
People's victory.
Boy/Male
Australian, Danish, Dutch, Greek, Swedish
People of Victory; Victory of the People
Girl/Female
Tamil
Glass
Surname or Lastname
English and German
English and German : metonymic occupational name for a glazier or glass blower, from Old English glæs ‘glass’ (akin to Glad, referring originally to the bright shine of the material), Middle High German glas.Irish and Scottish : Anglicized form of the epithet glas ‘gray’, ‘green’, ‘blue’ or any of various Gaelic surnames derived from it.German : altered form of the personal name Klass, a reduced form of Nikolaus (see Nicholas).Jewish (Ashkenazic) : ornamental name from German Glass ‘glass’, or a metonymic occupational name for a glazier or glass blower.
Surname or Lastname
North German
North German : topographic name from Middle Low German plas ‘place’, ‘open square’, ‘street’.South German (also Pläss) : from a short form of the medieval personal name Blasius.English : variant of Place 3.
Surname or Lastname
English
English : variant of Close 1.German : variant of Kloss.
Boy/Male
Australian, Dutch, German, Greek
People's Victory
Girl/Female
Muslim/Islamic
Glass
Boy/Male
Arabic
Peace Maker; Brightness; Class
Surname or Lastname
English
English : nickname from Old French, Middle English cras ‘big’, ‘fat’ (Latin crassus).Possibly an altered spelling of German Krass.
Surname or Lastname
English
English : from the medieval personal name Classe, a short form of Nicholas. See also Clayson.Variant of Klaas or Klass, North German forms of Claus.
Girl/Female
Indian
Glass
Girl/Female
Indian
Glass
Male
German
Short form of German Niclaus, CLAUS means "victor of the people."Â
CLASS NUMBER
CLASS NUMBER
Boy/Male
Greek
Helps defend Thebes against the attackers.
Girl/Female
Irish
Beautiful. Dear child.
Boy/Male
Hindu, Indian, Marathi
The God of Knowledge
Girl/Female
Muslim
Tolerant, The earth, An Apsara or celestial nymph
Boy/Male
Arabic, Muslim
A Young Dog or Fox; First Umayyad Khalifah
Boy/Male
Teutonic
Wolf's shield. From the emblem painted on a war shield.
Boy/Male
Tamil
Kirtibhushan | கிரà¯à®¤à®¿à®ªà¯à®·à®¨
One adorned with fame
Boy/Male
Indian, Sanskrit
Son of Danu
Boy/Male
Tamil
Male
English
Anglicized form of Irish Gaelic Ciarán, CARRAN means "little black one."Â
CLASS NUMBER
CLASS NUMBER
CLASS NUMBER
CLASS NUMBER
CLASS NUMBER
v. t.
A looking-glass; a mirror.
n.
To arrange in classes; to classify or refer to some class; as, to class words or passages.
v. t.
To shut or fasten together with, or as with, a clasp; to shut or fasten (a clasp, or that which fastens with a clasp).
v. t.
To cover or furnish with glass; to glaze.
v. t.
Variant of Clasp
v. t.
An optical glass; a lens; a spyglass; -- in the plural, spectacles; as, a pair of glasses; he wears glasses.
n.
A group of individuals ranked together as possessing common characteristics; as, the different classes of society; the educated class; the lower classes.
v. t.
A drinking vessel; a tumbler; a goblet; hence, the contents of such a vessel; especially; spirituous liquors; as, he took a glass at dinner.
a.
Of the rank or degree below the best highest; inferior; second-rate; as, a second-class house; a second-class passage.
n.
A number of students in a school or college, of the same standing, or pursuing the same studies.
v. t.
To case in glass.
v. t.
Anything made of glass.
a.
Given to viewing one's self in a glass or mirror; finical.
v. t.
To smooth or polish anything, as leater, by rubbing it with a glass burnisher.
a.
Of the best class; of the highest rank; in the first division; of the best quality; first-rate; as, a first-class telescope.
n.
One of the sections into which a church or congregation is divided, and which is under the supervision of a class leader.
n.
To divide into classes, as students; to form into, or place in, a class or classes.