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Physical world and mathematics

42,772 articles

Ettringite

Ettringite is a calcium aluminum sulfate hydrate mineral of the sulfate class, crystallizing in the hexagonal system and named for its occurrence near Ettringen, Germany; in Portland cement concrete its delayed formation drives sulfate attack deterioration.

EU Clinical Trials Register

The EU Clinical Trials Register, also known as EU CTR, is a public website launched in 2011 by the European Medicines Agency for searching EU clinical trials.

EU-SILC

EU-SILC (European Union Statistics on Income and Living Conditions) is the EU's annual household survey collecting comparable data on income, poverty, and living conditions since 2003.

Eucalyptol

Eucalyptol, also known as 1,8-cineole, is a naturally occurring cyclic ether making up 60 to 85% of eucalyptus oil, used as a flavoring, fragrance, and respiratory medicine.

EuCd2As2

EuCd2As2 is a layered compound of europium, cadmium, and arsenic, a magnetic semiconductor with a 0.77 eV band gap once thought a magnetic topological semimetal hosting Weyl points.

EuCd2Sb2

EuCd₂Sb₂, europium dicadmium diantimonide, is a layered antiferromagnetic semiconductor of europium, cadmium, and antimony whose topology switches to a Weyl semimetal when a magnetic field polarizes the Eu spins.

Euclid (Εὐκλείδης)

Euclid, also known as Euclid of Alexandria (Εὐκλείδης), was a Greek mathematician active about 300 BC whose thirteen-book Elements became the model of rigorous mathematics for two millennia.

Euclid's Elements

Euclid's Elements (Greek: Stoicheia) is a 13-book mathematical treatise from the 3rd century BC that presents geometry, number theory, and proportion as a deductive system and became the model for mathematical writing.

Euclid's lemma

Euclid's lemma, also called Euclid's first theorem, states that a prime dividing a product of two integers must divide one factor, and it proves unique prime factorization.

Euclid's theorem

Euclid's theorem, on the infinitude of primes, states that there are infinitely many prime numbers; Euclid proved it around 300 BC as Proposition 20 of Book IX of the Elements.

Euclidean algorithm

The Euclidean algorithm, also called Euclid's algorithm, is a procedure for finding the greatest common divisor of two integers, described by Euclid around 300 BC.

Euclidean distance

Euclidean distance, or Pythagorean metric, is the ordinary straight-line distance between two points in Euclidean space, the square root of the sum of squared coordinate differences.

Euclidean division

Euclidean division, also called division with remainder, is the theorem that dividing one integer by a nonzero integer yields a unique quotient and remainder smaller than the divisor.

Euclidean domain

A Euclidean domain is an integral domain with a Euclidean norm allowing division with remainder, as in the integers, so the Euclidean algorithm computes greatest common divisors.

Euclidean geometry

Euclidean geometry, also known as plane or classical geometry, is the system derived from the axioms of Euclid's Elements, a Greek work of around 300 BC that shaped mathematics for two millennia.

Euclidean group

The Euclidean group E(n), also denoted ISO(n), is the group of all distance-preserving transformations of n-dimensional Euclidean space, made up of rotations, translations, reflections, and their compositions.

Euclidean norm

The Euclidean norm, also called the 2-norm, is the square root of the sum of a vector's squared coordinates, and it measures the vector's length.

Euclidean quantum gravity

Euclidean quantum gravity is an approach to quantizing gravity in which the path integral runs over Riemannian metrics, originating with Hawking and the Hartle–Hawking no-boundary proposal.

Euclidean space

Euclidean space is the mathematical structure formalizing the familiar geometry of the plane and three-dimensional space, using distances and angles measured by an inner product.

Euclidean vector

A Euclidean vector, also called a spatial or geometric vector, is a quantity with magnitude and direction, drawn as an arrow with length and direction but no fixed location.

Eudysmic ratio

The eudysmic ratio, also spelled eudismic ratio, is the ratio of pharmacological potency between the two enantiomers of a chiral drug, the active eutomer divided by the less active distomer.

Eugen Goldstein

Eugen Goldstein (1850–1930) was a German physicist who worked on electrical discharges in gases, named cathode rays in 1876, and discovered canal rays in 1886, from which mass spectrometry later grew.

Eugen Seibold

Eugen Seibold (1918–2013) was a German geologist, called the founder of modern marine geology in Germany, who led the DFG and the European Science Foundation.

Eugene B. Waggoner

Eugene B. Waggoner was an American engineering geologist and National Academy of Engineering member known for dam and reclamation work with the U.S. Bureau of Reclamation.

Eugene Bogomolny

Eugene Bogomolny (Evgeny Borisovich Bogomolny, Евгений Борисович Богомольный) is a theoretical physicist at LPTMS near Paris, known for the 1976 Bogomolny bound underlying BPS states and for work on quantum chaos.

Eugène Cahen

Eugène Cahen (1865–1941) was a French mathematician who proved Cahen's constant irrational in 1891, wrote a 1894 Paris thesis on the Riemann zeta function, and published about 40 works.

Eugene Chudnovsky

Eugene Chudnovsky is a Russian-born American theoretical physicist, Distinguished Professor at Lehman College, CUNY, known for foundational work on quantum tunneling of magnetization and advocacy for persecuted scientists.

Eugene Commins

Eugene Commins (1932–2015) was an American experimental atomic physicist at UC Berkeley known for precision measurements of parity nonconservation and the electron's electric dipole moment.

Eugène Cosserat

Eugène Cosserat (1866–1931) was a French astronomer and mathematician, professor and director at the Toulouse Observatory, remembered as co-founder with his brother François of the Cosserat theory of elasticity.

Eugene Demler

Eugene Demler is a theoretical condensed matter physicist who spent twenty years as a Harvard professor before joining ETH Zurich in 2021, known for the theory behind cold-atom quantum simulators.