42,772 articles
Kabachnik–Fields reaction
The Kabachnik–Fields reaction, also called the phospha-Mannich reaction, is a three-component organic reaction, discovered independently in 1952, that condenses an aldehyde or ketone, an amine, and a phosphite.
Kac–Moody algebra
A Kac–Moody algebra is a usually infinite-dimensional Lie algebra defined by generators and relations from a generalized Cartan matrix, studied independently by Victor Kac and Robert Moody.
Kac–Moody flag variety
A Kac–Moody flag variety is the homogeneous space of flags attached to a Kac–Moody group, built from a generalized Cartan matrix; in finite type it is the familiar projective variety G/P.
Kaczmarz method
The Kaczmarz method, also called the Kaczmarz algorithm, is an iterative method for solving systems of linear equations by projecting onto one equation's hyperplane at a time, widely used in computed tomography as ART.
Kadison–Singer problem
A 1959 problem posed by Richard Kadison and Isadore Singer asking whether every pure state on the diagonal operators extends uniquely to all bounded operators, solved by Marcus, Spielman, and Srivastava in 2013.
Kadomtsev–Petviashvili equation
The Kadomtsev–Petviashvili (KP) equation is an integrable nonlinear partial differential equation, derived by Soviet physicists Kadomtsev and Petviashvili in 1970, describing weakly dispersive long waves such as water and plasma waves.
Kagome lattice
The kagome lattice (籠目) is a two-dimensional lattice of interwoven equilateral triangles with hexagonal voids, known in condensed matter physics for flat bands, geometric frustration, and topological electronic states.
Kagome metal charge order
Kagome metal charge order is the spontaneous periodic modulation of electron density in kagome metals like AV3Sb5 (A = K, Rb, Cs), emerging near 80 to 100 K alongside superconductivity.
Kagome metals
Kagome metals are metals built on the kagome lattice of corner-sharing triangles, whose flat bands and van Hove singularities host superconductivity, charge density waves, and topological phases, most studied in the AV3Sb5 family.
Kagome superconductivity in AV3Sb5
Kagome superconductivity in AV3Sb5 is the superconductivity below about 2.5 K of the layered kagome metals AV3Sb5 (A = K, Rb, Cs), discovered through CsV3Sb5 in 2020.
Kagome superconductor
A kagome superconductor is a superconducting material whose atoms form a kagome lattice of corner-sharing triangles, producing flat electronic bands. The leading family, AV3Sb5, was discovered from 2020.
KAGRA
KAGRA, formally the Large-scale Cryogenic Gravitational Wave Telescope, is a laser interferometric gravitational-wave detector in Japan's Kamioka mine, the first large-scale detector with cryogenically cooled mirrors.
Kahan summation algorithm
The Kahan summation algorithm, also called compensated summation, is a method for adding floating-point numbers that captures each addition's rounding error in a compensation variable, cutting accumulated error; William Kahan published it in 1965.
Kähler manifold
A Kähler manifold is a complex manifold carrying compatible complex, symplectic, and Riemannian structures, central to differential geometry and algebraic geometry since Erich Kähler introduced it in 1933.
Kähler potential
A Kähler potential is a real-valued scalar function on a complex manifold from which the Kähler metric is derived by differentiation, giving the kinetic terms of chiral superfields in supersymmetric theories.
Kahn–Kalai conjecture
The Kahn–Kalai conjecture, posed by Jeff Kahn and Gil Kalai in 2006, held that thresholds stay within a logarithmic factor of the expectation threshold; Park and Pham proved it in 2022.
Kahn's conjecture
Kahn's conjecture is a name for several combinatorics conjectures associated with Rutgers mathematician Jeff Kahn, including the Kahn–Kalai conjecture on thresholds in random structures, proved in 2022.
Kai Behrend
Kai Behrend is a mathematician at the University of British Columbia working on moduli spaces, known for the virtual fundamental class and the Behrend function.
Kai M. Siegbahn
Kai M. Siegbahn was a Swedish physicist at Uppsala University who won half of the 1981 Nobel Prize in Physics for developing high-resolution electron spectroscopy, known as ESCA.
Kai Simons
Kai Simons, born in Helsinki in 1938, is a Finnish cell biologist who introduced the lipid raft concept, led EMBL cell biology, and founded the lipidomics company Lipotype.
Kai Xiao
Kai Xiao is a materials chemist at Oak Ridge National Laboratory who studies the synthesis of two-dimensional materials and has been on its staff since 2008.
Kai Zuber
Kai Zuber is a German experimental nuclear and neutrino physicist, professor at TU Dresden, who proposed the COBRA experiment in 2001 and shared the 2016 Breakthrough Prize for neutrino physics.
Kai‐Ming Ho
Kai-Ming Ho is a condensed matter physicist, Distinguished Professor Emeritus at Iowa State University and a senior scientist at Ames Laboratory, known for the first complete three-dimensional photonic band gap.
Kai‐Uwe Hinrichs
Kai-Uwe Hinrichs is a German organic geochemist and biogeochemist, professor at the University of Bremen and MARUM since 2002, known for identifying methane-consuming archaebacteria in marine sediments.
Kaidu River
The Kaidu River (开都河) is a 530 km inland river in Xinjiang, northwest China, rising in the Tianshan and supplying about 95 percent of Bosten Lake's water.
Kainic acid
Kainic acid (カイニン酸) is a natural amino acid from red seaweed that activates kainate receptors; isolated in 1953, it is widely used to model temporal lobe epilepsy.
Kaiser-Meyer-Olkin measure of sampling adequacy
The Kaiser-Meyer-Olkin measure of sampling adequacy is a statistic, proposed by Henry Kaiser in 1970, that indicates how suitable a set of variables is for factor analysis.
Kakeya conjecture
The Kakeya conjecture is a mathematical conjecture stating that sets containing a line segment in every direction have full dimension, proved in the plane and in 3D in 2025.
Kakeya problem over finite fields
The Kakeya problem over finite fields asks how small a set containing a line in every direction must be; Zeev Dvir proved in 2008 it must have size on the order of q^n.
Kala namak
Kala namak (Hindi: काला नमक), also called Himalayan black salt, is a South Asian kiln-fired salt with a sulfurous, egg-like odor, used in chaat and vegan egg dishes.