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UNITY OF-FIELDS

  • Unity of Fields
  • Pro-Palestinian protest network

    Unity of Fields, formerly known as Palestine Action US, is an American solidarity organization. It began as the United States branch of Palestine Action

    Unity of Fields

    Unity of Fields

    Unity_of_Fields

  • Calla Walsh
  • American political activist (born 2004)

    Walsh co-founded the US wing of Palestine Action, later rebranded as Unity of Fields. While working with Unity of Fields, she became acquainted with

    Calla Walsh

    Calla Walsh

    Calla_Walsh

  • Root of unity
  • Number with an integer power equal to 1

    sections of this article will comply with complex roots of unity. For the case of roots of unity in fields of nonzero characteristic, see Finite field § Roots

    Root of unity

    Root of unity

    Root_of_unity

  • Unity (game engine)
  • Cross-platform video game and simulation engine

    Unity is a cross-platform game engine developed by Unity Technologies, first announced and released in June 2005 at the Apple Worldwide Developers Conference

    Unity (game engine)

    Unity (game engine)

    Unity_(game_engine)

  • Unity oilfield
  • Oilfield in Rubkona, South Sudan

    The Unity oilfield is a major oilfield in Chotjiok at Rotriak Boma, Budang Payam, northern territory of Rubkona County, Unity State, South Sudan. It lies

    Unity oilfield

    Unity_oilfield

  • Unity in diversity
  • Expression of harmony and unity between dissimilar individuals or groups

    Unity in diversity is used as an expression of harmony and unity between dissimilar individuals or groups. It is a concept of "unity without uniformity

    Unity in diversity

    Unity in diversity

    Unity_in_diversity

  • List of pro‑Palestinian advocacy organizations
  • juifs de Belgique in Belgium Union of Palestinian Women's Committees in the Palestinian territories Unity of Fields in the United States Within Our Lifetime

    List of pro‑Palestinian advocacy organizations

    List of pro‑Palestinian advocacy organizations

    List_of_pro‑Palestinian_advocacy_organizations

  • Finite field
  • Algebraic structure

    The simplest examples of finite fields are the fields of prime order: for each prime number p {\displaystyle p} , the prime field of order p {\displaystyle

    Finite field

    Finite_field

  • 1
  • Natural number

    symbols. 1 (one, unit, unity) is a number, numeral, and grapheme. It is the first and smallest positive integer of the infinite sequence of natural numbers.

    1

    1

  • Cyclotomic field
  • Field extension of the rational numbers by a primitive root of unity

    theory, a cyclotomic field is a number field obtained by adjoining a complex root of unity to Q {\displaystyle \mathbb {Q} } , the field of rational numbers

    Cyclotomic field

    Cyclotomic_field

  • Abelian extension
  • Galois extension whose Galois group is abelian

    extension formed by adjoining roots of unity to a field, or a subextension of such an extension. The cyclotomic fields are examples. A cyclotomic extension

    Abelian extension

    Abelian_extension

  • U.N.I.T.Y.
  • 1993 single by Queen Latifah

    1994, in the United Kingdom. "U.N.I.T.Y." focused on confronting disrespect of women in society, addressing issues of street harassment, domestic violence

    U.N.I.T.Y.

    U.N.I.T.Y.

  • Classical unities
  • 16–19th-century prescriptive theory of dramatic tragedy

    The classical unities, Aristotelian unities, or three unities represent a prescriptive theory of dramatic tragedy that was introduced in Italy in the 16th

    Classical unities

    Classical_unities

  • Greater Nile Oil Pipeline
  • Oil pipelime in South Sudan and Sudan

    at the Heglig oil field in South Kurdufan state. Since 1999, the pipeline has been extended and it now begins in the Unity oil field. The pipeline extends

    Greater Nile Oil Pipeline

    Greater Nile Oil Pipeline

    Greater_Nile_Oil_Pipeline

  • Socialist Unity Party of Germany
  • Ruling party of East Germany (1949–1989)

    The Socialist Unity Party of Germany (German: Sozialistische Einheitspartei Deutschlands, pronounced [zotsi̯aˈlɪstɪʃə ˈʔaɪnhaɪtspaʁˌtaɪ ˈdɔʏtʃlants] ;

    Socialist Unity Party of Germany

    Socialist Unity Party of Germany

    Socialist_Unity_Party_of_Germany

  • Kummer theory
  • Theory in abstract algebra

    with extra roots of unity ('descending' back to smaller fields); which is something much more serious. A Kummer extension is a field extension L/K, where

    Kummer theory

    Kummer_theory

  • Government of National Unity (Libya)
  • Provisional Government of Libya since March 2021

    The Government of National Unity (Arabic: حكومة الوحدة الوطنية, Hukūmat al-Wahda al-Watanīya, Tedaga: agasu nduronnu numii-ĩ) is the internationally recognised

    Government of National Unity (Libya)

    Government of National Unity (Libya)

    Government_of_National_Unity_(Libya)

  • Unity College (Caloundra)
  • Private, catholic school in Caloundra West, Queensland, Australia

    Unity College is a coeducational ecumenical college located in the Bellvista Estate in Caloundra West, a suburb of the Sunshine Coast Region in Queensland

    Unity College (Caloundra)

    Unity_College_(Caloundra)

  • Hilbert symbol
  • Function used in local class field theory related to reciprocity laws

    a function (–, –) from K× × K× to the group of nth roots of unity in a local field K such as the fields of reals or p-adic numbers. It is related to reciprocity

    Hilbert symbol

    Hilbert_symbol

  • Hilbert's twelfth problem
  • Problem about mathematical number fields

    Another type of abelian extension of the field Q of rational numbers is given by adjoining the nth roots of unity, resulting in the cyclotomic fields. Already

    Hilbert's twelfth problem

    Hilbert's_twelfth_problem

  • Socialist Unity Centre of India (Communist)
  • Indian political party

    Socialist Unity Centre of India (Communist) (SUCI(C)), formerly known as Socialist Unity Centre of India (SUCI) or Socialist Unity Centre (SUC), is an

    Socialist Unity Centre of India (Communist)

    Socialist Unity Centre of India (Communist)

    Socialist_Unity_Centre_of_India_(Communist)

  • Consilience (book)
  • 1998 book by E. O. Wilson

    Consilience: The Unity of Knowledge is a 1998 book by the biologist E. O. Wilson, in which the author discusses methods that have been used to unite the

    Consilience (book)

    Consilience_(book)

  • Unity Village, Missouri
  • Village in Missouri, United States

    orchard, 12 acres of grapevines, cherry and plum trees, and fields of oats, corn, wheat, strawberries, asparagus, and soybeans. Unity Farm also supported

    Unity Village, Missouri

    Unity Village, Missouri

    Unity_Village,_Missouri

  • Herbrand–Ribet theorem
  • Result on the class group of certain number fields, strengthening Ernst Kummer's theorem

    divides the class number of the cyclotomic field of p-th roots of unity if and only if p divides the numerator of the n-th Bernoulli number Bn for some n

    Herbrand–Ribet theorem

    Herbrand–Ribet_theorem

  • Normal extension
  • Type of algebraic field extension

    primitive root of unity. The field Q ( 2 3 , ζ 3 ) {\displaystyle \mathbb {Q} ({\sqrt[{3}]{2}},\zeta _{3})} is the normal closure (see below) of Q ( 2 3 )

    Normal extension

    Normal_extension

  • Quadratic field
  • Field (mathematics) generated by the square root of an integer

    fields, they have Galois groups with extra 2 {\displaystyle 2} -torsion, so contain at least three quadratic fields. In general a quadratic field of field

    Quadratic field

    Quadratic_field

  • Muglad Basin
  • Large rift basin in southern Sudan and South Sudan

    largest of which are the Heglig and Unity oil fields. During the 1960s and 1970s, Chevron made the first oil discoveries in the basin near the towns of Bentiu

    Muglad Basin

    Muglad Basin

    Muglad_Basin

  • All for Unity
  • Scottish unionist political and electoral alliance

    All for Unity (formerly Alliance 4 Unity) was a political and electoral alliance in Scotland. Founded in July 2020 by George Galloway, it was a British

    All for Unity

    All_for_Unity

  • Conjugate element (field theory)
  • Roots of an algebraic element's minimal polynomial

    {\displaystyle \mathbb {R} } of a complex number are the number itself and its complex conjugate. The cube roots of unity are: 1 3 = { 1 − 1 2 + 3 2 i

    Conjugate element (field theory)

    Conjugate_element_(field_theory)

  • Field with one element
  • Theoretical object in mathematics

    F1", in van der Geer, G.; Moonen, B.; Schoof, R. (eds.), Number Fields and Function Fields: Two Parallel Worlds, Progress in Mathematics, vol. 239 Deitmar

    Field with one element

    Field_with_one_element

  • Air campaign of the Heglig Crisis
  • Sudanese military air campaign

    Archived from the original on March 2, 2012. "2 South Sudanese Oil Fields In Unity State Bombed". Gurtong Trust. 1 March 2012. "US Condemns Latest Sudan

    Air campaign of the Heglig Crisis

    Air_campaign_of_the_Heglig_Crisis

  • Field (mathematics)
  • Algebraic structure with addition, multiplication, and division

    known fields are the field of rational numbers, the field of real numbers, and the field of complex numbers. Many other fields, such as fields of rational

    Field (mathematics)

    Field (mathematics)

    Field_(mathematics)

  • Eric Weinstein
  • American financial executive (born 1965)

    advanced what he claims is a theory of everything called "Geometric Unity". Geometric Unity has been met with skepticism by, and has had no measurable impact

    Eric Weinstein

    Eric Weinstein

    Eric_Weinstein

  • Kronecker–Weber theorem
  • Every finite abelian extension of Q is contained within some cyclotomic field

    conductor of K as the smallest integer n such that K lies inside the field generated by the n-th roots of unity. For example, the quadratic fields have as

    Kronecker–Weber theorem

    Kronecker–Weber_theorem

  • The Fields of Athenry
  • 1979 song written by Pete St. John

    "The Fields of Athenry" is an Irish folk ballad written in 1979 by Pete St John. Set during the Great Famine of the 1840s, the song's lyrics feature a

    The Fields of Athenry

    The_Fields_of_Athenry

  • 2026 California State Controller election
  • American election

    2026. Giusto, Andrew (August 22, 2025). "Unity Party Fields California Candidates Times Two". Unity Party of America. Retrieved September 18, 2025. Editorial

    2026 California State Controller election

    2026 California State Controller election

    2026_California_State_Controller_election

  • Cate Archer
  • Fictional character from No One Lives Forever series

    Cate, a covert operative for British-based counter-terrorism organization UNITY, is the main character in The Operative: No One Lives Forever (2000) and

    Cate Archer

    Cate_Archer

  • Unity State
  • State of South Sudan

    Unity State is a state in South Sudan. Unity State is in the Greater Upper Nile region. Unity is inhabited predominantly by two ethnic groups: the Nuer

    Unity State

    Unity State

    Unity_State

  • Cierra Fields
  • Native American sexual assault activist (born 1999)

    Cierra Fields (born 1999) is an anti-rape activist, Native American community health activist, and citizen of the Cherokee Nation. Fields worked as a freelance

    Cierra Fields

    Cierra_Fields

  • Tensor product of fields
  • Ring produced from two fields

    tensor product of two fields is their tensor product as algebras over a common subfield. If no subfield is explicitly specified, the two fields must have the

    Tensor product of fields

    Tensor_product_of_fields

  • Moravian Church
  • Protestant Christian denomination dating back to the 15th century

    (Latin for 'Unity of the Brethren'), is one of the oldest Protestant denominations in Christianity, dating back to the Bohemian Reformation of the 15th century

    Moravian Church

    Moravian Church

    Moravian_Church

  • Tower of fields
  • In mathematics, a sequence of field extensions

    In mathematics, a tower of fields is a sequence of field extensions F0 ⊆ F1 ⊆ ... ⊆ Fn ⊆ ... The name comes from such sequences often being written in

    Tower of fields

    Tower_of_fields

  • Forties oil field
  • Largest North Sea oil field

    and Wood, G.V. (1980) Geology of the Forties Field, U.K. Continental Shelf, North Sea, in Giant Oil and Gas Fields of the Decade: 1968–1978, AAPG Memoir

    Forties oil field

    Forties oil field

    Forties_oil_field

  • German reunification
  • 1989–1991 unification process of Germany

    which eventually became the capital of Germany. The East German government, controlled by the Socialist Unity Party of Germany (SED), started to falter on

    German reunification

    German reunification

    German_reunification

  • Coat of arms of Malawi
  • National symbol

    coat of arms of Malawi is based on the earlier heraldic arms of Nyasaland. It is supported by a lion and a leopard, above a scroll reading "Unity and Freedom"

    Coat of arms of Malawi

    Coat of arms of Malawi

    Coat_of_arms_of_Malawi

  • Danish Realm
  • Sovereign state

    America. The relationship between the three parts of the kingdom is known as Rigsfællesskabet (The Unity of the Realm, which has also been translated as the

    Danish Realm

    Danish Realm

    Danish_Realm

  • Unity Party of America
  • Political party in the United States

    The Unity Party of America is a national political party in the United States founded on November 4, 2004 with the slogan "Not Right, Not Left, But Forward

    Unity Party of America

    Unity Party of America

    Unity_Party_of_America

  • Party of National Unity and Progress
  • Political party in Zambia

    Party of National Unity and Progress is a political party in Zambia. The party was originally launched in Lusaka on 2 May 2017 as the Party of National

    Party of National Unity and Progress

    Party_of_National_Unity_and_Progress

  • Algebraically closed field
  • Algebraic structure where all polynomials have roots

    principal ideal domains ⊃ Euclidean domains ⊃ fields ⊃ algebraically closed fields As an example, the field of real numbers is not algebraically closed, because

    Algebraically closed field

    Algebraically_closed_field

  • Discrete Fourier transform
  • Function in discrete mathematics

    roots of unity in fields other than the complex numbers, and such generalizations are commonly called number-theoretic transforms (NTTs) in the case of finite

    Discrete Fourier transform

    Discrete Fourier transform

    Discrete_Fourier_transform

  • Democratic Socialists of America
  • US political organization

    Retrieved July 10, 2026. "Points of Unity". Liberation Caucus. Kimmerle, Locker, and Madsen 2025, p. 17. "Points of Unity of the Libertarian Socialist Caucus"

    Democratic Socialists of America

    Democratic_Socialists_of_America

  • Primitive element (finite field)
  • Generator of the multiplicative group of a finite field

    element if it is a primitive (q − 1)th root of unity in GF(q); this means that each non-zero element of GF(q) can be written as αi for some natural number

    Primitive element (finite field)

    Primitive_element_(finite_field)

  • Partition of unity
  • Set of functions from a topological space to [0,1] which sum to 1 for any input

    In mathematics, a partition of unity on a topological space ⁠ X {\displaystyle X} ⁠ is a set ⁠ R {\displaystyle R} ⁠ of continuous functions from ⁠ X

    Partition of unity

    Partition_of_unity

  • Economy of Sudan
  • in the south of the country. Oil fields in the south, such as those at Heglig and in the South Sudanese state of Unity, formerly part of Sudanese territory

    Economy of Sudan

    Economy of Sudan

    Economy_of_Sudan

  • Unity of invention
  • Concept in patent law

    In most patent laws, unity of invention is a formal administrative requirement that must be met for a patent application to proceed to grant. An issued

    Unity of invention

    Unity_of_invention

  • Greater Nile Petroleum Operating Company
  • Petroleum production company in Sudan

    in the Western Upper Nile area includes the large Unity and Heglig oil fields plus smaller fields at El Toor, El Noor, Toma South, Bamboo, Munga and

    Greater Nile Petroleum Operating Company

    Greater Nile Petroleum Operating Company

    Greater_Nile_Petroleum_Operating_Company

  • CM-field
  • Complex multiplication field

    primitive n {\displaystyle n} th root of unity. It is a totally imaginary quadratic extension of the totally real field Q ( ζ n + ζ n − 1 ) {\displaystyle

    CM-field

    CM-field

  • International Islamic Unity Conference (Iran)
  • Annual meeting between sects of Islam

    by The World Forum for Proximity of Islamic Schools of Thought, and its main objective includes devising ways of unity for the Islamic world, and likewise

    International Islamic Unity Conference (Iran)

    International Islamic Unity Conference (Iran)

    International_Islamic_Unity_Conference_(Iran)

  • List of oil and gas fields of the North Sea
  • oil fields K7-K12 gas fields K13 gas fields K14-K18 gas fields Kotter and Logger oil and gas fields L10 gas field L4-L7 gas fields L8-D gas field See

    List of oil and gas fields of the North Sea

    List of oil and gas fields of the North Sea

    List_of_oil_and_gas_fields_of_the_North_Sea

  • Wahdat al-wujūd
  • The Unity of Being

    Wahdat al-wujūd (Arabic: وحدة الوجود "unity of existence, oneness of being") is a doctrine in the field of Islamic philosophy and mysticism, according

    Wahdat al-wujūd

    Wahdat al-wujūd

    Wahdat_al-wujūd

  • Unity (concept)
  • Unity is the state of being one. It is often a combination of many parts, elements and individuals into an effective whole. It is defined as the state

    Unity (concept)

    Unity_(concept)

  • Gaussian period
  • area of number theory, a Gaussian period is a certain kind of sum of roots of unity. The periods permit explicit calculations in cyclotomic fields connected

    Gaussian period

    Gaussian_period

  • Unity Environmental University
  • Private university in Maine, U.S.

    programs on sustainability and environmental science. Unity is accredited by the New England Commission of Higher Education and is classified among "M3: Master’s

    Unity Environmental University

    Unity_Environmental_University

  • Abyei
  • Condominium of South Sudan and Sudan

    Nile Oil Pipeline, travels through the Abyei area from the Heglig and Unity oil fields to Port Sudan on the Red Sea via Khartoum. The pipeline is vital to

    Abyei

    Abyei

    Abyei

  • Angelina Teny
  • South Sudanese politician (born 1953)

    Sudan, and South Sudan was in control of most of its oil fields.Those fields that are producing had output of about 300,000 barrels per day. Teny said

    Angelina Teny

    Angelina Teny

    Angelina_Teny

  • Quantum field theory
  • Theoretical framework in physics

    the free Dirac field and free vector fields, respectively. The last term describes the interaction between the electron and photon fields, which is treated

    Quantum field theory

    Quantum field theory

    Quantum_field_theory

  • Unity Day (Yemen)
  • National holiday in Yemen

    Unity Day of Yemen (also called National Unity Day, National Day, Republic Day, National Day of the Republic of Yemen; Arabic: اليوم الوطني للجمهورية

    Unity Day (Yemen)

    Unity Day (Yemen)

    Unity_Day_(Yemen)

  • 2
  • Natural number

    of 2 −2 Colman, Samuel (1912). Coan, C. Arthur (ed.). Nature's Harmonic Unity: A Treatise on Its Relation to Proportional Form. New York and London: G

    2

    2

  • Brothers in Unity
  • Literary society at Yale University, US

    Brothers in Unity (formally, the Society of Brothers in Unity) is an undergraduate literary and debating society at Yale University. Founded in 1768 as

    Brothers in Unity

    Brothers in Unity

    Brothers_in_Unity

  • Wrigley Field
  • Baseball stadium in Chicago, Illinois, US

    Wrigley Field (/ˈrɪɡli/) is a ballpark on the North Side of Chicago, Illinois, United States. It is the home ballpark of Major League Baseball's Chicago

    Wrigley Field

    Wrigley Field

    Wrigley_Field

  • Local field
  • Locally compact topological field

    completions of global fields. Moreover, tools like integration and Fourier analysis are available for functions defined on local fields. Given a local field, an

    Local field

    Local_field

  • Flag of Nigeria
  • and unity. The flag was raised for the first time in a ceremony by Lieutenant David Ejoor of the Army Guard. In preparation for the independence of Nigeria

    Flag of Nigeria

    Flag of Nigeria

    Flag_of_Nigeria

  • Identity element
  • Specific element of an algebraic structure

    rings, integral domains, and fields. The multiplicative identity is often called unity in the latter context (a ring with unity). This should not be confused

    Identity element

    Identity_element

  • Unity ticket
  • Term for candidates from different parties running on one ticket

    In a presidential system, a unity ticket is a form of ticket balance in which a candidate and a running mate of separate political parties run on a single

    Unity ticket

    Unity ticket

    Unity_ticket

  • Peter Munya
  • Kenyan politician

    the second Chairman of the Council of Governors. He was, until his appointment as a Cabinet Secretary, the Party of National Unity (PNU) Leader. He also

    Peter Munya

    Peter Munya

    Peter_Munya

  • Flag of Malaysia
  • represent the unity among these entities. The crescent represents Islam, the country's state religion; the blue canton symbolises the unity of the Malaysian

    Flag of Malaysia

    Flag of Malaysia

    Flag_of_Malaysia

  • Principal root of unity
  • In mathematics, a principal n-th root of unity (where n is a positive integer) of a ring is an element α {\displaystyle \alpha } satisfying the equations

    Principal root of unity

    Principal_root_of_unity

  • Democracy and National Unity Day
  • 15 July public holiday in Turkey

    National Unity Day of Türkiye (Turkish: Demokrasi ve Milli Birlik Günü) is one of the public holidays in Turkey, commemorating the national unity against

    Democracy and National Unity Day

    Democracy and National Unity Day

    Democracy_and_National_Unity_Day

  • Cyclotomic unit
  • Algebraic number field unit

    circular unit) is a unit of an algebraic number field which is the product of numbers of the form (ζa n − 1) for ζ n an nth root of unity and 0 < a < n. The

    Cyclotomic unit

    Cyclotomic_unit

  • Flag of Morocco
  • ancestors and unity. Red has considerable historic significance in Morocco by virtue of its association with the Alawi dynasty, which used a red field as its

    Flag of Morocco

    Flag of Morocco

    Flag_of_Morocco

  • European Union
  • Supranational political and economic union

    aspiring or negotiating to join it. Internationalism and visions of European unity had existed since well before the 19th century, but gained particularly

    European Union

    European Union

    European_Union

  • Pakistan
  • Country in South Asia

    political system of India and to maintain territorial unity of the Indian state, by 1929 Jinnah produced the formula known as the Fourteen Points of Mr. Jinnah

    Pakistan

    Pakistan

    Pakistan

  • Root of unity modulo n
  • In number theory, a kth root of unity modulo n for positive integers k, n ≥ 2, is a root of unity in the ring of integers modulo n; that is, a solution

    Root of unity modulo n

    Root_of_unity_modulo_n

  • Glossary of field theory
  • Field theory is the branch of algebra that studies fields

    Field theory is the branch of mathematics in which fields are studied. In mathematics, a field is a set on which addition, subtraction, multiplication

    Glossary of field theory

    Glossary_of_field_theory

  • Dirichlet's unit theorem
  • Gives the rank of the group of units in the ring of algebraic integers of a number field

    the theory of Pell's equation. The rank is positive for all number fields besides Q {\displaystyle \mathbb {Q} } and imaginary quadratic fields, which have

    Dirichlet's unit theorem

    Dirichlet's_unit_theorem

  • Reality
  • Totality of existing entities

    non-fundamental entities, the idea that reality forms a hierarchy of levels, and the roles of unity and multiplicity in monist–pluralist debates. Other discussions

    Reality

    Reality

  • Dhaka Reporters Unity
  • Dhaka Reporters Unity (Bengali: ঢাকা রিপোর্টার্স ইউনিটি) is the largest professional body of working reporters based in Segunbagicha, Dhaka, Bangladesh

    Dhaka Reporters Unity

    Dhaka_Reporters_Unity

  • Departments of the Central Committee of the Socialist Unity Party of Germany
  • Policymaking departments of East Germany

    approximately 40 departments of the Central Committee of the Socialist Unity Party of Germany (SED) were the center of the policymaking in East Germany

    Departments of the Central Committee of the Socialist Unity Party of Germany

    Departments of the Central Committee of the Socialist Unity Party of Germany

    Departments_of_the_Central_Committee_of_the_Socialist_Unity_Party_of_Germany

  • Gadsden flag
  • Historical American flag

    part of the war. The rattlesnake was a symbol of the unity of the Thirteen Colonies at the start of the Revolutionary War, and it had a long history as

    Gadsden flag

    Gadsden flag

    Gadsden_flag

  • Adrian Grenier
  • American actor (born 1976)

    Retrieved March 11, 2026. Dave McNary (April 22, 2015). "Documentary 'Unity' Set for Aug. 12 Release with 100 Star Narrators". Variety. Retrieved May

    Adrian Grenier

    Adrian Grenier

    Adrian_Grenier

  • The Thompson Fields
  • 2015 studio album by Maria Schneider Orchestra

    Journal called The Thompson Fields a suite because of "its unity of style and its mood of reflection." In the UK, Ivan Hewett of The Daily Telegraph comments

    The Thompson Fields

    The_Thompson_Fields

  • Algebraic number field
  • Finite extension of the rationals

    extension of Q {\displaystyle \mathbb {Q} } is the extension generated by all roots of unity. For more general number fields, class field theory, specifically

    Algebraic number field

    Algebraic_number_field

  • Multiplicative group
  • Mathematical structure with multiplication as its operation

    F^{\times }\cong \mathrm {C} _{q-1}} . The group scheme of nth roots of unity is by definition the kernel of the n-power map on the multiplicative group GL(1)

    Multiplicative group

    Multiplicative group

    Multiplicative_group

  • Deutschlandlied
  • National anthem of Germany

    "Einigkeit und Recht und Freiheit" ('Unity and Justice and Freedom') is considered the unofficial national motto of Germany, and is inscribed on modern

    Deutschlandlied

    Deutschlandlied

    Deutschlandlied

  • Conductor (class field theory)
  • conductor of a finite abelian extension of local or global fields provides a quantitative measure of the ramification in the extension. The definition of the

    Conductor (class field theory)

    Conductor_(class_field_theory)

  • Forties pipeline system
  • North Sea pipeline network

    1975 to transport oil from the Forties Oil Field, the UK’s first major offshore oil field. The Forties Unity installation was installed in 1992 including

    Forties pipeline system

    Forties pipeline system

    Forties_pipeline_system

  • Influence: Science and Practice
  • Psychology book by Robert Cialdini

    findings in the book are backed up by empirical studies conducted in the fields of psychology, marketing, economics, anthropology and social science.[citation

    Influence: Science and Practice

    Influence:_Science_and_Practice

  • Ray class field
  • finite abelian extension of a number field is contained in one of its ray class fields. The term "ray class group" is a translation of the German term "Strahlklassengruppe"

    Ray class field

    Ray_class_field

  • Cubic field
  • field Q. Such fields are always complex cubic fields since each positive number has two complex non-real cube roots. Adjoining the real cube root of 2

    Cubic field

    Cubic_field

  • Main conjecture of Iwasawa theory
  • Theorem in algebraic number theory relating p-adic L-functions and ideal class groups

    easy consequences of the main conjecture. There are several generalizations of the main conjecture, to totally real fields, CM fields, elliptic curves

    Main conjecture of Iwasawa theory

    Main_conjecture_of_Iwasawa_theory

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UNITY OF-FIELDS

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UNITY OF-FIELDS

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UNITY OF-FIELDS