Quadratic fieldIn algebraic number theory, a quadratic field is an algebraic number field of degree two over , the rational numbers. Every such quadratic field is some where is a (uniquely defined) square-free integer different from and . If , the corresponding quadratic field is called a real quadratic field, and, if , it is called an imaginary quadratic field or a complex quadratic field, corresponding to whether or not it is a subfield of the field of the real numbers.
Public art in BarcelonaPublic art in Barcelona is a designated group of monuments and outdoor sculptures in the city. The artworks in city's architecture and network of museums, parks, and gardens, put an artistic stamp on the Catalan capital. Public art in the city developed in the 19th century, although the first municipal commission was the 1673 monument to Saint Eulalia in Pedró Square. Artworks are typically located in niches and on the façades of public buildings. They are concentrated because of the city's enclosure by medieval defensive walls.
Helmholtz equationIn mathematics, the Helmholtz equation is the eigenvalue problem for the Laplace operator. It corresponds to the linear partial differential equation where ∇2 is the Laplace operator, k2 is the eigenvalue, and f is the (eigen)function. When the equation is applied to waves, k is known as the wave number. The Helmholtz equation has a variety of applications in physics, including the wave equation and the diffusion equation, and it has uses in other sciences.
Museum of Lebanese PrehistoryThe Museum of Lebanese Prehistory (Musée de Préhistoire Libanaise, متحف ما قبل التاريخ اللبناني) is a museum of prehistory and archaeology in Beirut, Lebanon. The museum is the first museum of prehistory in the Middle East and was opened in June 2000 to commemorate the 125th anniversary of Saint Joseph University of Beirut. The founding of the museum followed from the work of Jesuit scholars who controlled prehistoric research in this part of the world until the 1950s.
Intuitionistic type theoryIntuitionistic type theory (also known as constructive type theory, or Martin-Löf type theory) is a type theory and an alternative foundation of mathematics. Intuitionistic type theory was created by Per Martin-Löf, a Swedish mathematician and philosopher, who first published it in 1972. There are multiple versions of the type theory: Martin-Löf proposed both intensional and extensional variants of the theory and early impredicative versions, shown to be inconsistent by Girard's paradox, gave way to predicative versions.
Field extensionIn mathematics, particularly in algebra, a field extension is a pair of fields such that the operations of K are those of L restricted to K. In this case, L is an extension field of K and K is a subfield of L. For example, under the usual notions of addition and multiplication, the complex numbers are an extension field of the real numbers; the real numbers are a subfield of the complex numbers. Field extensions are fundamental in algebraic number theory, and in the study of polynomial roots through Galois theory, and are widely used in algebraic geometry.
NK Lokomotiva ZagrebNogometni klub Lokomotiva Zagreb (Lokomotiva Zagreb Football Club), commonly known as Lokomotiva Zagreb or simply Lokomotiva, is a Croatian professional football club based in Zagreb. It competes in the Croatian First Football League, the country's top division. Founded in 1914, the club's only period of success came in the late 1940s and early 1950s before spending most of the following five decades in lower-level leagues. Between 2007 and 2009 they won three consecutive promotions to rise from the fourth level to the first in the Croatian football league system.
Schrödinger equationThe Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. Its discovery was a significant landmark in the development of quantum mechanics. The equation is named after Erwin Schrödinger, who postulated the equation in 1925 and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933. Conceptually, the Schrödinger equation is the quantum counterpart of Newton's second law in classical mechanics.
Antoni GaudíAntoni Gaudí i Cornet (gaʊˈdi , ˈgaʊdi , ənˈtɔni ɣəwˈði; 25 June 1852 – 10 June 1926) was a Spanish architect and designer from Catalonia, known as the greatest exponent of Catalan Modernism. Gaudí's works have a highly individualized, sui generis style. Most are located in Barcelona, including his main work, the church of the Sagrada Família. Gaudí's work was influenced by his passions in life: architecture, nature, and religion.
Quantum vortexIn physics, a quantum vortex represents a quantized flux circulation of some physical quantity. In most cases, quantum vortices are a type of topological defect exhibited in superfluids and superconductors. The existence of quantum vortices was first predicted by Lars Onsager in 1949 in connection with superfluid helium. Onsager reasoned that quantisation of vorticity is a direct consequence of the existence of a superfluid order parameter as a spatially continuous wavefunction.
Δ13CDISPLAYTITLE:δ13C In geochemistry, paleoclimatology, and paleoceanography δ13C (pronounced "delta c thirteen") is an isotopic signature, a measure of the ratio of the two stable isotopes of carbon—13C and 12C—reported in parts per thousand (per mil, ‰). The measure is also widely used in archaeology for the reconstruction of past diets, particularly to see if marine foods or certain types of plants were consumed. The definition is, in per mille: where the standard is an established reference material.