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Lagrange polynomial

A Lagrange polynomial, also called Lagrange interpolation or the Lagrange form, is a basis polynomial used in numerical analysis to build the unique polynomial through n+1 data points.

Lagrange's four-square theorem

Lagrange's four-square theorem, also known as Bachet's conjecture, states that every positive integer is a sum of at most four squares of integers, first proved by Lagrange in 1770.

Lagrange's theorem (group theory)

Lagrange's theorem, also called Lagrange's Group Theorem, is a result in group theory stating that the order of any subgroup of a finite group divides the order of the group.

Lagrangian (field theory)

The Lagrangian density, often just called the Lagrangian, is a function of a theory's fields and their spacetime derivatives whose integral over spacetime, the action, determines the field equations.

Lagrangian mechanics

Lagrangian mechanics, or Lagrangian dynamics, is a reformulation of classical mechanics in which equations of motion follow from the Lagrangian and Hamilton's principle of stationary action.

Lagrangian model (fluid dynamics)

A Lagrangian model describes a fluid by following individual parcels along their trajectories through the flow, rather than recording velocity at fixed grid points as an Eulerian model does.

Lagrangian particle dispersion model

A Lagrangian particle dispersion model (LPDM) simulates atmospheric transport and dispersion of tracers and pollutants by computing trajectories of many notional particles carried by winds, used in models such as FLEXPART and HYSPLIT.

Lagrangian particle tracking

Lagrangian particle tracking is a simulation method that follows individual virtual particles through time-evolving velocity fields, used to study ocean transport, larval dispersal, microplastics, oil spills, and air-parcel trajectories.

Lagrangian relaxation

Lagrangian relaxation is an optimization method, named by Geoffrion in 1974, that removes difficult constraints and penalizes their violation, producing bounds used inside branch and bound.

LaGuardia Airport

LaGuardia Airport, also known as LaGuardia International Airport (LGA), is a public airport in East Elmhurst, Queens, New York City, opened in 1939 and rebuilt in an $8 billion redevelopment completed in 2022.

Laguerre polynomials

The Laguerre polynomials, also known as Sonin polynomials, are a family of classical orthogonal polynomials introduced by Edmond Laguerre in 1879, used in hydrogen-atom wavefunctions and Gauss–Laguerre quadrature.

Laguiole knife

Laguiole knife: a French knife type from Laguiole, Aubrac, Aveyron, born 1828-1829, with forced-lock spring and bee. Generic name, not a brand; IG Couteau de Laguiole protection since 2024 distinguishes it from imported look-alikes.

Laguna (province)

Laguna is a CALABARZON province south of Metro Manila, capital Santa Cruz, population 3,687,345 (2024). The Philippines' top provincial economy (Php1.08 trillion GDP, 2024) on Laguna de Bay.

Laguna Beach, California

Laguna Beach is a seaside resort city in Orange County, California, incorporated 1927, known for its art colony, Festival of Arts and Pageant of the Masters, and fully protected state marine reserves along its coastline.

Laguna Beach: The Real Orange County

Laguna Beach: The Real Orange County, aka Laguna Beach or The Real O.C., is MTV's 2004-2006 docu-soap about Laguna Beach, California teens Lauren Conrad, Kristin Cavallari, and Stephen Colletti; it created The Hills and shaped modern reality TV.

Laguna Blanca Biosphere Reserve

Laguna Blanca Biosphere Reserve (Reserva de Biosfera Laguna Blanca), a UNESCO MAB reserve in Catamarca, Argentina, designated 1982 to conserve the vicuña; Puna and High Andes landscape of 640,504 ha, lagoons, Chaku shearing tradition, and 2025 Zonda wind reconstruction.

Laguna Copperplate Inscription

The Laguna Copperplate Inscription (Binatbát na Tansô ng Laguna) is a copper plate from Lumban, Laguna, Philippines, dated Saka 822 (900 CE), written in Early Kawi script and Old Malay. It records a debt pardon for Namwaran by chiefs of Tondo and other polities, the earliest calendar-dated Philippine document.

Laguna de Llancanelo

Laguna de Llancanelo, Ramsar site 759 in Malargüe, Mendoza, Argentina, is an endorheic saline wetland designated in 1995 and extended to 91,365 ha in 2020, famed for over 100,000 waterbirds and Chilean flamingos.

Laguna de Pozuelos Biosphere Reserve

Laguna de Pozuelos Biosphere Reserve (Reserva de Biosfera Laguna de los Pozuelos), a UNESCO MaB reserve in Jujuy, Argentina, centered on a 3,600 m Puna lagoon; Ramsar site 555 (1992), Natural Monument (1980), WHSRN site hosting over 100,000 shorebirds and three flamingo species.

Laguna de Tamiahua

Laguna de Tamiahua, a shallow coastal lagoon in northern Veracruz, Mexico; Ramsar site 1596 (2005), 88,000 ha, third largest coastal lagoon in Mexico, with major mangrove forests, oyster fisheries, and protected turtles, fish, and seahorses.

Laguna Madre (protected area)

Laguna Madre is a large hypersaline coastal lagoon on the Gulf of Mexico coast of Tamaulipas, northeastern Mexico, near the Texas border, protected as a Ramsar site since 2004 and the largest natural lagoon in Mexico.

Laguna Madre y Delta del Rió Bravo Biosphere Reserve

Laguna Madre y Delta del Rió Bravo Biosphere Reserve, Tamaulipas, Mexico: UNESCO MAB site designated 2006, 1,631,937 ha, protecting a hypersaline lagoon, river deltas, 450 bird species, and Kemp's ridley nesting beaches.

Laguna Oca y Herraduras del Río Paraguay Biosphere Reserve

Laguna Oca y Herraduras del Río Paraguay Biosphere Reserve is a UNESCO reserve on the Paraguay River floodplain in Formosa Province, Argentina, designated in 2001.

Laguna San Rafael y el Guayaneco Biosphere Reserve

Laguna San Rafael y el Guayaneco Biosphere Reserve, a UNESCO MaB reserve in Aysén, Chilean Patagonia, designated 1979, protecting 51,304 km² including the North Patagonian Ice Field and San Rafael Glacier, with Laguna San Rafael National Park as core zone.

Laguna Seca

WeatherTech Raceway Laguna Seca (Laguna Seca Raceway), 2.238-mile road course at Salinas, Monterey County, California, opened November 9, 1957 on Fort Ord land; famed for the Corkscrew's 59-foot drop and IMSA, IndyCar, and historic racing.

Laguna Theme Park

Laguna Theme Park (متنزة لاقونا) is a family-friendly theme park in Benghazi, Libya, at 32.07207 N, 20.12713 E; one of two theme parks in the city, offering mechanical rides and entertainment stalls.

Laguna Verde nuclear power plant

Laguna Verde (Central Nucleoeléctrica Laguna Verde) is Mexico's only nuclear power station, on the Gulf of Mexico coast in Veracruz, supplying about 5 percent of the country's electricity.

Lagunas altoandinas y puneñas de Catamarca

Lagunas altoandinas y puneñas de Catamarca is a Ramsar wetland site and provincial reserve in Catamarca, Argentina, designated in 2009 and covering over 1.2 million hectares of high Andean lakes.

Lagunas de Guanacache, Desaguadero y del Bebedero

Lagunas de Guanacache, Desaguadero y del Bebedero, Ramsar site no. 1012, is a 962,370-hectare chain of lagoons and marshes in Mendoza, San Juan, and San Luis, Argentina, fed by the Mendoza and San Juan rivers, home to Huarpe Lagunero communities, and 80% dried since 1987.

Lagunas de Vilama

Lagunas de Vilama, Ramsar site 1040 in Jujuy, Argentina: over ten high-Andean saline lagoons at 4,500 m, 157,000 ha, designated 2000, hosting 13% of world James's flamingo population.