Kummen

Kumirkola is a village in Khandaghosh CD Block in Bardhaman Sadar South subdivision of Purba Bardhaman district in West Bengal, India.

In abstract algebra and number theory, Kummer theory provides a description of certain types of field extensions involving the adjunction of nth roots of elements of the base field. The theory was originally developed by Ernst Eduard Kummer around the 1840s in his pioneering work on Fermat's last theorem. The main statements do not depend on the nature of the field - apart from its characteristic, which should not divide the integer n – and therefore belong to abstract algebra. The theory of cyclic extensions of the field K when the characteristic of K does divide n is called Artin–Schreier theory.Kummer theory is basic, for example, in class field theory and in general in understanding abelian extensions; it says that in the presence of enough roots of unity, cyclic extensions can be understood in terms of extracting roots. The main burden in class field theory is to dispense with extra roots of unity ('descending' back to smaller fields); which is something much more serious.

Kummayak is a new rural municipality in Panchthar district. Kummayak is formed by the merging of Yasok, Rani Gaun, Syangrumba and Mangjabung village development committees. Kummayak covers 129.30 km2 area with 16118 total population.

Kumlien's gull

Kummariguda, Mahbubnagar

Kumluca, Tasova

Kumki

Kumla prison

Kummannoor is a small village in the Pathanamthitta district, located 5 km from Konni and 15 km from district headquarters.

Kumluca, Ulus

Kumkuyu, Erdemli

Kumla Church

Kummelnäs

Kummerowia

Kumiljensky Raion

Kumla HC

Kumlinge disease

Kumilzhenski District

In geometry, the Kummer configuration, named for Ernst Kummer, is a geometric configuration of 16 points and 16 planes such that each point lies on 6 of the planes and each plane contains 6 of the points. The 16 nodes and 16 tropes of a Kummer surface form a Kummer configuration.

Kummer conjecture

Kumki, India

Kummerower See

Kumjko Okawa

Kumlien's gull (Larus glaucoides kumlieni) is a large gull which breeds in the Arctic regions of Canada. It is migratory, wintering from Labrador south to New England and west across the Great Lakes. The species is named after the Swedish-American naturalist Thure Kumlien.

Kummanayakanakoppa is a village in Dharwad district of Karnataka, India.

Kumki is a town in Arunachal Pradesh in the district of Changlang. It is one of the easternmost permanently populated towns of India.

Kumlu

Kummerow

Kumir is a Tajik film released in 1988. It was directed by Yormahmad Aralev and stars Daler Nazarov, Larisa Belogurova and Ahmadsho Ulfatshoyev.

Kumkapi Affray

Kumkapı

Kummanni (Hittite: Kummiya) was the name of the main center the Anatolian kingdom of Kizzuwatna. Its location is uncertain, but is believed to be near the classical settlement of Comana in Cappadocia.Kummanni was the major cult center of the Hurrian chief deity, Tešup. Its Hurrian name Kummeni simply translates as "The Shrine."The city persisted into the Early Iron Age, and appears as Kumme in Assyrian records.

Kumkum Mohanty

Kumirdaha

Kummeli

Kumkum - Ek Pyara Sa Bandhan

Kumira Multilateral High School (Bengali: কুমিরা বহুমুখী উচ্চ বিদ্যালয়) is a public high school situated at the centre of kumira bazzar in Tala Upazila, Satkhira district, part of the Khulna division, in south-western Bangladesh. About 1,800 students study there.The school celebrated 100 years foundation day in 17 and 18 December 2015.

Kumily is the largest Gram Panchayat in the state of Kerala and is located in the Idukki district of Kerala. It is a town in Cardamom Hills near Thekkady and Periyar Tiger Reserve. Kumily is known as Gateway State Border to Tamil Nadu and Kerala.

Kumluca

Kumiyama (久御山町, Kumiyama-chō) is a town located in Kuse District, Kyoto Prefecture, Japan.As of October 2017, the town has an estimated population of 15,589 and a density of 1,124 persons per km². The total area is 13.86 km².

Kumla kyrka, Östergötland

Kummera is a village and panchayat in Ranga Reddy district, Telangana, India. It falls under Chevella mandal. According to census information the total population of Kummera is 935 living in 205 houses, among them male population is 471 and female population is 464.Kummera vehicle registration code is TS-07, 08. Regional Transport (RTO) Office located in Rangareddy.

Kumiz, Hormozgan

Kummer U function

Kummer's series

Kumluca, Bartın

Kummer conjecture on cubic Gauss sums

Kumlukoz, Posof

Kumla HC "Black Bulls", often referred to as Kumla Hockey, is a Kumla, Sweden-based ice hockey club. Kumla played in Sweden's second-tier league, Allsvenskan, as recently as the 2000–01 season. After being relegated in 2001, the team has played in Division 1, the third tier of ice hockey in Sweden (as of the 2013–14 season).

Kumluca is a village in the District of Hasankeyf, Batman Province, Turkey. As of 2011 it had a population of 20 people.

Kummeli: Kultahuume

Kumla HC Black Bulls

Kumlinge Airfield

Kumite Classic Entertainment (KCE) is a Pittsburgh, Pennsylvania based sports production company. It was established in 1999 by Bill Viola Jr. KCE specializes in fitness, martial arts, and multi-sport competitions.

Kumlukoz, Posof is a village in the District of Posof, Ardahan Province, Turkey.

Kumkum

Kumkumacheppu

Kummer's surface

Kumily

Kumlien's gull (Larus glaucoides kumlieni) is a large gull which breeds in the Arctic regions of Canada. It is migratory, wintering from Labrador south to New England and west across the Great Lakes. The species is named after the Swedish-American naturalist Thure Kumlien. It is a regular vagrant in small numbers to Britain and Ireland.It has variably been considered a full species, a subspecies of Thayer's gull, a subspecies of Iceland gull, and a hybrid between the aforementioned species, all of which are considered subspecies of the Iceland gull as of 2017.This taxon breeds colonially or singly on coasts and cliffs, making a nest lined with grass, moss or seaweed on the ground or cliff. Normally, 2-3 light brown eggs are laid.The taxon is pale in all plumages, with a remarkably variable amount of pigment in the primaries. Individuals range from completely white-winged (indistinguishable from nominate glaucoides Iceland gull) to so dark in the wings as to be indistinguishable from Thayer's gull. Eye color is also variable, from pale yellow to dark brown. Such remarkable variation seems to lend credence to the belief that Kumlien's gull is in fact a hybrid swarm.Kumlien's gulls average smaller overall and much smaller-billed than the very large glaucous gull and are usually smaller than herring gull. The taxon reaches adult plumage in four to five years. The call is a "laughing" cry like the herring gull's, but higher pitched.These are omnivores like most Larus gulls, and they will scavenge as well as seeking suitable small prey. These birds forage while flying, picking up food at or just below the water's surface, also feeds while walking or swimming. Their scavenging habits lead them to frequent garbage dumps, sewage outlets and places where fish are cleaned.

Mayor

Kumla Hundred

Kummanni (Hittite: Kummiya) was the name of the main center the Anatolian kingdom of Kizzuwatna. Its location is uncertain, but is believed to be near the classical settlement of Comana in Cappadocia.Kummanni was the major cult center of the Hurrian chief deity, Tešup. Its Hurrian name Kummeni simply translates as "The Shrine."The city persisted into the Early Iron Age, and appears as Kumme in Assyrian records. It was located on the edge of Assyrian influence in the far northeastern corner of Mesopotamia, separating Assyria from Urartu and the highlands of southeastern Anatolia. Kumme was still considered a holy city in Assyrian times, both in Assyria and in Urartu. Adad-nirari II, after re-conquering the city, made sacrifices to "Adad of Kumme." The three chief deities in the Urartian pantheon were "the god of Ardini, the god of Kumenu, and the god of Tushpa."

Kumme

Kummer (surname)

Kumilzhenskii Raion

Kumite Classic Entertainment

Kumkapı demonstration

Kumkapı station

Kumkoy, Serik

Kumlak

Kumlienia is a small genus of flowering plants in the buttercup family known generally as false buttercups. There are two species in this genus, both of which were formerly included in Ranunculus. Kumlienia cooleyae is native to the northwestern Pacific coast of North America from Alaska to Washington. Kumlienia hystricula is endemic to the Sierra Nevada of California.

Kumilzhenskiy District

Kumma Chai

Kumilzhenskiy

Kumler Hall, also known as the Brainerd Institute, is a historic dormitory located at Chester, Chester County, South Carolina. The Brainerd Institute was one of the earliest and finest of the many private schools established for African-American freedmen in South Carolina in the years just after the American Civil War. The school was operated from about 1868 until 1940 by the Board of Missions of the Presbyterian Church. Kumler Hall was built about 1916, and is a brick two-story boys dormitory. It has a central longitudinal hallway opening onto the porch, with a central single-flight stairway and classrooms and dormitory rooms opening on either side on both floors and the basement.It was listed on the National Register of Historic Places in 1983.

Kummanayakanakoppa

Kumler Hall

Kummerkeramik

Kumis kucing

Kummer's congruences

Kumkapı affray

Kumluca, Hasankeyf

Kumkurgan

Kumkapi railway station

Kuminost Spiced Cheese

In abstract algebra and number theory, Kummer theory provides a description of certain types of field extensions involving the adjunction of nth roots of elements of the base field. The theory was originally developed by Ernst Eduard Kummer around the 1840s in his pioneering work on Fermat's last theorem. The main statements do not depend on the nature of the field - apart from its characteristic, which should not divide the integer n – and therefore belong to abstract algebra.

Kummariguda

Kumkum -Ek Pyara Sa Bandhan

Kumla kyrkby is a locality situated in Sala Municipality, Västmanland County, Sweden with 206 inhabitants in 2010.

St Michael's Priory, Kumily, Idukki, Kerala, India, is a Benedictine monastery of the Congregation of the Missionary Benedictines of Saint Ottilien. The monastery was established in 1987 by Zacharias Kuruppacheril, an Indian secular priest. Located on the western slopes of the Cardamom Hills, around 150 km east of Kochi, the monastery is currently home to 11 monks. Prior Joseph Puthenpurayil is the community's superior.

In algebraic geometry, a Kummer quartic surface, first studied by Kummer (1864), is an irreducible nodal surface of degree 4 in P 3 {\displaystyle \mathbb {P} ^{3}} with the maximal possible number of 16 double points. Any such surface is the Kummer variety of the Jacobian variety of a smooth hyperelliptic curve of genus 2; i.e. a quotient of the Jacobian by the Kummer involution x ↦ −x. The Kummer involution has 16 fixed points: the 16 2-torsion point of the Jacobian, and they are the 16 singular points of the quartic surface. Resolving the 16 double points of the quotient of a (possibly nonalgebraic) torus by the Kummer involution gives a K3 surface with 16 disjoint rational curves; these K3 surfaces are also sometimes called Kummer surfaces.Other surfaces closely related to Kummer surfaces include Weddle surfaces, wave surfaces, and tetrahedroids.

In mathematics, Kummer sum is the name given to certain cubic Gauss sums for a prime modulus p, with p congruent to 1 modulo 3. They are named after Ernst Kummer, who made a conjecture about the statistical properties of their arguments, as complex numbers. These sums were known and used before Kummer, in the theory of cyclotomy.

Kummerfeld

Kummer-Vandiver conjecture

Kummer surface

Kumla Church, Vastmanland

Kumitak

Kumluca, Bartin

Kumisbekov

Kumin, Maxine

Kumkum..Ek Pyaara Sa Bandhan

Kumluca is a town and district of Antalya Province on the Mediterranean coast of Turkey, part of the Turkish Riviera. Kumluca is located 90 km (56 mi) west of the city of Antalya, on the Teke Peninsula, (between the bays of Antalya and Fethiye). Its neighbour towns are Korkuteli, Elmalı, Finike, Kemer and AntalyaThe town of Kumluca, formerly the village of Sarıkavak, is named for its sandy soil (kum meaning sand in Turkish), good for growing watermelons.

Kumkuduk

Kumkurgan (Uzbek: Qumqoʻrgʻon/Қумқўрғон, Russian: Кумкурган) is a town in Surxondaryo Region, Uzbekistan. It is the administrative center of Kumkurgan District. The town population in 1989 year was 12173 people.

Kummer's congruence

Kummer sum

Kumiuchi

Kumla Church, Östergötland

Kummerau

Kumlienia hystricula (formerly Ranunculus hystriculus) is a species of flowering plant in the buttercup family known by the common name waterfall false buttercup.

Kumkum na Pagla Padya is a Gujarati TV series airs on Colors Gujarati. It is produced by SanGo Telefilms. The show premiered on 20 April 2015 on ETV Gujarati.

Kummattikali or Kummatti Kali is the famous colorful mask-dance of Kerala, prevalent in Thrissur District, Palakkad District and parts of South Malabar. During the festival of Onam, Kummattikali performers move from house to house collecting small gifts and entertaining people. Kummatti dances are rampant in the Thrissur district during Onam. Pristine or original form of Kummattikali can be seen in the Bhadrakali temple in Palakkad district.

Kumkum – Ek Pyara Sa Bandhan

Kumla prison (Swedish: Anstalten Kumla) is a prison facility in Kumla Municipality, Sweden. It was opened in 1965 and is one of the country's biggest prisons. Kumla is one of three high security prisons in Sweden holding risk inmates (security class 1). On March 18, 2009, a new supermax facility was opened inside the Kumla Prison.

Kummeli: Kultakuume (Kummeli: Goldrush) is a 1997 Finnish comedy film starring Heikki Hela, Heikki Silvennoinen, Timo Kahilainen and Heikki Vihinen, stars of the Finnish sketch-series Kummeli. This was their second cinema-release after 1995's Kummeli: Stories. Kultakuume has a single plot whereas Stories was composed of long-sketches.

Kummerow (am See)

Kumiyama, Kyoto

Kummer's formula

Kumitat Olimpiku Malti

Kummelin Jackpot is a 2006 Finnish comedy film directed by Pekka Karjalainen. It features the Kummeli group of comedians.

Kuminyab

Kumirmora is a census town and a gram panchayat in Chanditala I CD Block in Srirampore subdivision of Hooghly district in the state of West Bengal, India. It is under Chanditala police station.
Kumirmora

Kumilzhenskii

Kumitaiso

Kumkiejmy Przednie

Kumla Municipality

Kumki [ˈkumki] (German: Kümken) is a village in the administrative district of Gmina Drawsko Pomorskie, within Drawsko County, West Pomeranian Voivodeship, in north-western Poland. It lies approximately 5 kilometres (3 mi) west of Drawsko Pomorskie and 78 km (48 mi) east of the regional capital Szczecin.Before 1945 the area was part of Germany. For the history of the region, see History of Pomerania.The village has a population of 50.

Kumla Prison

In mathematics, Kummer's theorem for binomial coefficients gives the p-adic valuation of a binomial coefficient, i.e., the exponent of the highest power of a prime number p dividing this binomial coefficient. The theorem is named after Ernst Kummer, who proved it in the paper Kummer (1852).

Kumlienia

Kumis (also spelled kumiss or koumiss or kumys, see other transliterations and cognate words below under terminology and etymology - Kazakh: Қымыз, qımız) is a squishy fermented dairy product traditionally made from mare's milk. The drink remains important to the peoples of the Central Asian steppes, of Huno-Bulgar, Turkic and Mongol origin: Kazakhs, Bashkirs, Kalmyks, Kyrgyz, Mongols, and Yakuts.Kumis is a dairy product similar to kefir, but is produced from a liquid starter culture, in contrast to the solid kefir "grains". Because mare's milk contains more sugars than cow's or goat's milk, when fermented, kumis has a higher, though still mild, alcohol content compared to kefir.Even in the areas of the world where kumis is popular today, mare's milk remains a very limited commodity. Industrial-scale production, therefore, generally uses cow's milk, which is richer in fat and protein, but lower in lactose than the milk from a horse. Before fermentation, the cow's milk is fortified in one of several ways. Sucrose may be added to allow a comparable fermentation. Another technique adds modified whey to better approximate the composition of mare's milk.

Kumki or Koomkie is a term used in India for trained captive Asian elephants used in operations to trap wild elephants. The term may be more specifically applied to trained female elephants used as decoys. Kumkis are used for capturing, calming and herding wild elephants or to lead wild elephants away in conflict situations. The word is derived from Persian kumak which means "aid" and is in wide usage from Bengal to Tamil Nadu by mahouts.Kumkis are not the same elephants widely found in Indian temples. An elephant has to undergo extensive training before it can become a Kumki. Several animal activists have appealed against this training system. Many movies related to Kumki elephants have been released in the Tamil film industry, such as Kumki (2012).

In mathematics, there are several functions known as Kummer's function. One is known as the confluent hypergeometric function of Kummer. Another one, defined below, is related to the polylogarithm.

Kummer function

Kummel

Kumluca (disambiguation)

Kummer congruences

Kongevollvatnet

Kumira High School

Kumirkola

Kumira Multilateral High School

Kumla kyrkby

Kumisheh

Qumqoʻrgʻon

Kumkumacheppu is a 1996 Indian Malayalam film, directed by Thulasidas and produced by R Mukesh Mehta. The film stars Shobhana, Manoj K Jayan, KPAC Lalitha and Jagadish in lead roles. The film had musical score by S. P. Venkatesh.

Anstalten Kumla

Kumiodori

Kummel disease

Kummerowia is a genus of flowering plants in the legume family, Fabaceae. It belongs to the sub family Faboideae. These plants were formerly in genus Lespedeza.Species:Kummerowia stipulacea - Korean bushcloverKummerowia striata - Japanese bushclover

Kumla Church, Närke

Kummanam rajasekharan

Kumilzhenskii District

Kumkum Ek Pyara Sa Bandhan

In mathematics, the Kummer variety of an abelian variety is its quotient by the map taking any element to its inverse. The Kummer variety of a 2-dimensional abelian variety is called a Kummer surface.

Kummant, Alexander

Kummer configuration

Kumlevollvatnet

Kumishah

Kummeli: Kultakuume

Kumla Church, Västmanland

Kumla Hockey

Kummakivi

Kumla

Kumkapi affray

Kumki, Poland

Kumler

Kummeli kultakuume

Panchayat President

Kumma (Nubia)

Kumis (also spelled kumiss or koumiss or kumys, see other transliterations and cognate words below under terminology and etymology - Kazakh: Қымыз, qımız) is a squishy fermented dairy product traditionally made from mare's milk.

Kumla kyrka, Västmanland

Kumkum the Dancer

Kumla Church, Narke

Kumkuma

Kumkapi

Kumm radio

Kummariguda, Ranga Reddy

Kummerower Lake

Kumkum Na Pagla Padya

Kumilzhensky

Kumma, Iran

Kumköy

Kummer's quadratic transformation

Kummankudi (Tamil: கும்மன்குடி) is a village in the Arimalam revenue block of Pudukkottai district, Tamil Nadu, India.

Kumlinge Airfield (ICAO: EFKG) (Swedish: Kumlinge flygfält, Finnish: Kumlingen lentokenttä) is an airfield in Kumlinge, Åland, Finland.The airfield was opened in 1975, and it is operated by the Government of Åland.

Kumkum the Dancer is a 1940 Bollywood film directed by Modhu Bose. It was released in both Bengali and Hindi.

Kummer ring

Kumkiejmy Przednie [kumˈkʲɛi̯mɨ ˈpʂɛdɲɛ] (German: Klein Kumkeim) is a village in the administrative district of Gmina Górowo Iławeckie, within Bartoszyce County, Warmian-Masurian Voivodeship, in northern Poland, close to the border with the Kaliningrad Oblast of Russia. It lies approximately 10 kilometres (6 mi) north-east of Górowo Iławeckie, 20 km (12 mi) north-west of Bartoszyce, and 62 km (39 mi) north of the regional capital Olsztyn.

Kummankudi

Kummerow is a municipality in the Vorpommern-Rügen district, in Mecklenburg-Vorpommern, Germany.

Kumkiejmy [kumˈkʲɛi̯mɨ] (German: Kumkeim) is a village in the administrative district of Gmina Górowo Iławeckie, within Bartoszyce County, Warmian-Masurian Voivodeship, in northern Poland, close to the border with the Kaliningrad Oblast of Russia. It lies approximately 10 kilometres (6 mi) north of Górowo Iławeckie, 22 km (14 mi) north-west of Bartoszyce, and 63 km (39 mi) north of the regional capital Olsztyn.Before 1945 the area was part of Germany (East Prussia).

Kummelwick

Kumki (elephant)

Kummatti (Raahe)

Kumlupınar, Kozluk

Kumluca, Taşova

Kumkapı railway station

Kumkale, Çanakkale

Kumiyama

Kummerfeld is a municipality in the district of Pinneberg, in Schleswig-Holstein, Germany.

Kummariguda, is a village, in Kothur mandal of Mahbubnagar district in the state of Telangana in India. Even though it is a small village with 800 people, but well known with its Swadhyay Parivar.

Kummer variety

Kumlienia hystricula

Kummagyaria

Kumimono

Kumlakh

Kumma (also, Semna East) is an archaeological site in Sudan. Established in the mid-12th Dynasty of Egypt, it served as a fortress of ancient Egypt in Nubia. Along with Semna, Kumma was built by the Pharaoh Sesostris III (1878 BC - 1839 BC). The forts protected the border between ancient Egypt and the southern areas.Kumma is situated about 365 kilometres (227 mi) south of Aswan, and 35 kilometres (22 mi) southwest of the second cataract of the Nile on the eastern bank. Semna is located on the other side. Both locations are flooded today because of the Aswan High Dam on Lake Nubia. The salvaged temple of Khnum is rebuilt in the National Museum of Sudan at Khartoum.

कुम्मायक

Kummer's equation

Kummer's conjecture

Kumla Municipality (Kumla kommun) is a municipality in Örebro County in central Sweden. Its seat is located in the city of Kumla.The present municipality was formed during the latest nationwide local government reform in Sweden, with the amalgamations taking place in 1966 and 1971.With 207 km² it is the smallest municipality in Örebro County.

Kumite (組手) literally translated means "grappling hands" and is one of the three main sections of karate training, along with kata and kihon. Kumite is the part of karate in which a person trains against an adversary, using the techniques learned from the kihon and kata.Kumite can be used to develop a particular technique or a skill (e.g. effectively judging and adjusting one's distance from one's opponent) or it can be done in competition.

In mathematics, Kummer's conjecture is either of two the conjectures made by Ernst Eduard Kummer:The Kummer–Vandiver conjecture about class numbers of cyclotomic fieldsKummer's conjecture about the Kummer sum

For the village in Azerbaijan, see Qumlu.Kumlu is a district of Hatay Province, in the Amik Valley plain, on the road between Antakya and Reyhanlı in Turkey.

Kumis

Kummer's theorem

Kumirdaha is a village in the Ranishwar block in Dumka district of Jharkhand, India. The village has an old temple dedicated to hindu Goddess Durga. Dumka-Suri main road connects Jharkhand and West Bengal. A place named 'Border' is located at the extremity of the block.

Kummer's conjecture (disambiguation)

Kumimanu biceae

Kumisdan

Kumira

Kumler is a ghost town in West Township, McLean County, Illinois, United States.

Kumla kyrka, Vastmanland

Kumma (also, Semna East) is an archaeological site in Sudan. Established in the mid-12th Dynasty of Egypt, it served as a fortress of ancient Egypt in Nubia. Along with Semna, Kumma was built by the Pharaoh Sesostris III (1878 BC - 1839 BC). The forts protected the border between ancient Egypt and the southern areas.Kumma is situated about 365 kilometres (227 mi) south of Aswan, and 35 kilometres (22 mi) southwest of the second cataract of the Nile on the eastern bank.

Kummera

Kumkiejmy

Kumler, Illinois

Kummer's criterion

Kummer's function

Kummerow (bei Stralsund)

Kumiz

Kumki (disambiguation)

Kumla kommun

Kumkuduk or Qumqudyq is a village in the Aktobe Region of western Kazakhstan.

Kumiái language

Kummakivi is a large balancing rock in Ruokolahti, Finland. The 7-metre long boulder lies on a convex bedrock surface with a very small footprint but so firmly that it cannot be rocked with human force.Kummakivi ("strange stone") has been protected since 1962. A pine tree originating from the 1980s grows on top of the boulder.The boulder is located in a forest in the western part of the Ruokolahti municipality, near the border of Puumala.

Kummer

Kuminju

Kummer's configuration

Kummer congruence

In abstract algebra, a Kummer ring Z [ ζ ] {\displaystyle \mathbb {Z} [\zeta ]} is a subring of the ring of complex numbers, such that each of its elements has the form n 0 + n 1 ζ + n 2 ζ 2 + . . . + n m − 1 ζ m − 1 {\displaystyle n_{0}+n_{1}\zeta +n_{2}\zeta ^{2}+...+n_{m-1}\zeta ^{m-1}\ } where ζ is an mth root of unity, i.e. ζ = e 2 π i / m {\displaystyle \zeta =e^{2\pi i/m}\ } and n0 through nm−1 are integers.A Kummer ring is an extension of Z {\displaystyle \mathbb {Z} } , the ring of integers, hence the symbol Z [ ζ ] {\displaystyle \mathbb {Z} [\zeta ]} . Since the minimal polynomial of ζ is the mth cyclotomic polynomial, the ring Z [ ζ ] {\displaystyle \mathbb {Z} [\zeta ]} is an extension of degree ϕ ( m ) {\displaystyle \phi (m)} (where φ denotes Euler's totient function).An attempt to visualize a Kummer ring on an Argand diagram might yield something resembling a quaint Renaissance map with compass roses and rhumb lines.The set of units of a Kummer ring contains { 1 , ζ , ζ 2 , … , ζ m − 1 } {\displaystyle \{1,\zeta ,\zeta ^{2},\ldots ,\zeta ^{m-1}\}} . By Dirichlet's unit theorem, there are also units of infinite order, except in the cases m = 1, m = 2 (in which case we have the ordinary ring of integers), the case m = 4 (the Gaussian integers) and the cases m = 3, m = 6 (the Eisenstein integers).Kummer rings are named after Ernst Kummer, who studied the unique factorization of their elements.

Kumlien's Gull

Kumlupınar

Administrator

Kummanni

Kumla kyrka, Ostergotland

Kumilzhensky Raion

Kumkapi demonstration

Kuminost

Kummeli Kultakuume

Kummayak

Kumkapı Affray

Kumite

Kumkuyu

Kumkuyu, Mersin

Kumintang

Kumiyama, Kyōto

Kumjongsan

久御山町

Kumlah Island

Kumlevollvatnet or Kongevollvatnet is a lake in the municipality of Flekkefjord in Vest-Agder county, Norway. The 3.12-square-kilometre (1.20 sq mi) lake lies along the river Fedaelva, just south of Gyland and about 12 kilometres (7.5 mi) northeast of the town of Flekkefjord.

Kumilzhenski

Kumkurghon District

Kummelweck

Kummen (Ferden)

Kumily Priory

Kummer, Christopher

Kummer's conjecture on cubic Gauss sums

Kumkurghon

In abstract algebra, a Kummer ring Z [ ζ ] {\displaystyle \mathbb {Z} [\zeta ]} is a subring of the ring of complex numbers, such that each of its elements has the form n 0 + n 1 ζ + n 2 ζ 2 + .

Kumkuyu is a town in Mersin Province, Turkey.

Kumla is a locality and the seat of Kumla Municipality, Örebro County, Sweden with 14,062 inhabitants in 2010.

Kumlong

Kumina riddim

Kummariguda (disambiguation)

Kummelin Jackpot

Kumku-peka

Kummerow, Nordvorpommern

Kumkuma is a powder used for social and religious markings in India. It is made from turmeric or any other local materials. The turmeric is dried and powdered with a bit of slaked lime, which turns the rich yellow powder into a red color.In India, it is known by many names including kuṅkumam (Sanskrit कुङ्कुमम्), kumkuma (Telugu కుంకుమ), kunku (Marathi कुंकू), kumkum (Bengali কুমকুম, Hindi कुमकुम), kunkuma (Kannada ಕುಂಕುಮ), (Tamil குங்குமம்), and kungkumam (Malayalam കുങ്കുമം).

Kummer theory

Kumlah Island is a small, uninhabited island in British Columbia, Canada. It is located south of Gilford Island in the waters of Tribune Channel.

Kummel (surname)

Kumköy, Serik

Kummerow is a municipality in the Mecklenburgische Seenplatte district, in Mecklenburg-Vorpommern, Germany. It is often called Kummerow am See to avoid confusion with Kummerow near Stralsund. The timber framed village church and the baroque castle at the lake (Kummerower See) are notable landmarks.

Kummer series

Kumizan

Kumlaanstalten

Kumki or Koomkie is a term used in India for trained captive Asian elephants used in operations to trap wild elephants. The term may be more specifically applied to trained female elephants used as decoys. Kumkis are used for capturing, calming and herding wild elephants or to lead wild elephants away in conflict situations.

Kummer extension

Kumiss

Kummerbund

Kummerer

Kummariguda, Mahbubnagar district

Kumlukoz

Kumkhum

Kumle

KUMKAPI

কুমিরা বহুমুখী উচ্চ বিদ্যালয়

Kumilla

Kumlienia is a small genus of flowering plants in the buttercup family known generally as false buttercups. There are two species in this genus, both of which were formerly included in Ranunculus. Kumlienia cooleyae is native to the northwestern Pacific coast of North America from Alaska to Washington. Kumlienia hystricula is endemic to the Sierra Nevada of California. These perennial herbs produce a basal rosette of leaves on a caudex and erect inflorescences of a few yellow or white buttercup flowers.The genus is named for the Swedish-American naturalist Thure Kumlien.

In algebraic geometry, a Kummer quartic surface, first studied by Kummer (1864), is an irreducible nodal surface of degree 4 in P 3 {\displaystyle \mathbb {P} ^{3}} with the maximal possible number of 16 double points. Any such surface is the Kummer variety of the Jacobian variety of a smooth hyperelliptic curve of genus 2; i.e. a quotient of the Jacobian by the Kummer involution x ↦ −x.

Kummattikali

Kumlbúa þáttr

Kumluca, Antalya

Kummelnas

Kummera, Ranga Reddy district

Kummata Durga

Kummeli is the name of a Finnish comedy crew formed by Heikki Silvennoinen, Timo Kahilainen and Heikki Hela from Tampere. They are also the heads of Porkkana Ryhmä, the crew's production company. Other famous members have included Olli Keskinen, better known for his on-screen persona Eero Kakko, and Heikki Vihinen who replaced Keskinen in the mid-90s.Kummeli appeared on television between 1991 and 1995. After a successful three-part pilot aired they were given their own show on YLE's channel 2 with a completely new look. The Kummeli TV show was primarily composed of skits with insane characters, but would also feature musical guests as the core crew of the team were actually musicians rather than professional actors (with the exception of Hela, who, ironically, ended up behind the camera for the early episodes of the show). Some episodes would also have a running set of skits that would reach a conclusion at the end of the episode (such as a father and son visiting an exhibit where the wax figures are actually the caretakers in various costumes).In the mid-90s, after the end of the show, the Kummeli crew would make random appearances on TV and at different events. During this time Keskinen left the crew and was replaced by Heikki Vihinen.Kummeli was re-launched at the turn of the millennium, with Keskinen returning to host the show, now with a live studio audience. Another re-launch occurred in 2004, with Mikko Kivinen hosting the show for its short run. In between these two seasons of Kummeli, Keskinen and Silvennoinen, along with some other colleagues, produced another short-lived show Mankeli.

Kumler Hall, also known as the Brainerd Institute, is a historic dormitory located at Chester, Chester County, South Carolina. The Brainerd Institute was one of the earliest and finest of the many private schools established for African-American freedmen in South Carolina in the years just after the American Civil War. The school was operated from about 1868 until 1940 by the Board of Missions of the Presbyterian Church. Kumler Hall was built about 1916, and is a brick two-story boys dormitory.

Kumla Church, Ostergotland

Kummeli is the name of a Finnish comedy crew formed by Heikki Silvennoinen, Timo Kahilainen and Heikki Hela from Tampere. They are also the heads of Porkkana Ryhmä, the crew's production company. Other famous members have included Olli Keskinen, better known for his on-screen persona Eero Kakko, and Heikki Vihinen who replaced Keskinen in the mid-90s.Kummeli appeared on television between 1991 and 1995.

Kumlien

Kumir

Kummannoor konni

Kumiz, Razavi Khorasan

In mathematics, there are several functions known as Kummer's function. One is known as the confluent hypergeometric function of Kummer. Another one, defined below, is related to the polylogarithm. Both are named for Ernst Kummer.Kummer's function is defined by Λ n ( z ) = ∫ 0 z log n − 1 ⁡ | t | 1 + t d t . {\displaystyle \Lambda _{n}(z)=\int _{0}^{z}{\frac {\log ^{n-1}|t|}{1+t}}\;dt.} The duplication formula is Λ n ( z ) + Λ n ( − z ) = 2 1 − n Λ n ( − z 2 ) {\displaystyle \Lambda _{n}(z)+\Lambda _{n}(-z)=2^{1-n}\Lambda _{n}(-z^{2})} .Compare this to the duplication formula for the polylogarithm: Li n ⁡ ( z ) + Li n ⁡ ( − z ) = 2 1 − n Li n ⁡ ( z 2 ) . {\displaystyle \operatorname {Li} _{n}(z)+\operatorname {Li} _{n}(-z)=2^{1-n}\operatorname {Li} _{n}(z^{2}).} An explicit link to the polylogarithm is given by Li n ⁡ ( z ) = Li n ⁡ ( 1 ) + ∑ k = 1 n − 1 ( − ) k − 1 log k ⁡ | z | k ! Li n − k ⁡ ( z ) + ( − ) n − 1 ( n − 1 ) ! [ Λ n ( − 1 ) − Λ n ( − z ) ] . {\displaystyle \operatorname {Li} _{n}(z)=\operatorname {Li} _{n}(1)\;\;+\;\;\sum _{k=1}^{n-1}(-)^{k-1}\;{\frac {\log ^{k}|z|}{k!}}\;\operatorname {Li} _{n-k}(z)\;\;+\;\;{\frac {(-)^{n-1}}{(n-1)!}}\;\left[\Lambda _{n}(-1)-\Lambda _{n}(-z)\right].}

Kumilzhenski Raion

Kummer Function

Kumki, Arunachal Pradesh

Kumkum (TV series)

Kumlbua thattr

Khulna road

Kumilzhenskiy Raion

Kumlupinar, Kozluk

Kummerfeldt