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In calculus and related areas of mathematics, a linear function from the real numbers to the real numbers is a function whose graph (in Cartesian coordinates ) is a non-vertical line in the plane. [ 1 ] The characteristic property of linear functions is that when the input variable is changed, the change in the output ... | https://en.wikipedia.org/wiki/Linear_function_(calculus) |
In mathematics a linear inequality is an inequality which involves a linear function . A linear inequality contains one of the symbols of inequality: [ 1 ]
A linear inequality looks exactly like a linear equation , with the inequality sign replacing the equality sign .
Two-dimensional linear inequalities, are expres... | https://en.wikipedia.org/wiki/Linear_inequality |
The linear ion trap ( LIT ) is a type of ion trap mass spectrometer .
In a LIT, ions are confined radially by a two-dimensional radio frequency (RF) field, and axially by stopping potentials applied to end electrodes .
LITs have high injection efficiencies and high ion storage capacities. [ 1 ]
One of the first LITs ... | https://en.wikipedia.org/wiki/Linear_ion_trap |
In mathematics , and more specifically in linear algebra , a linear map (also called a linear mapping , linear transformation , vector space homomorphism , or in some contexts linear function ) is a mapping V → W {\displaystyle V\to W} between two vector spaces that preserves the operations of vector addition and scala... | https://en.wikipedia.org/wiki/Linear_map |
The Linear Model of Innovation was an early model designed to understand the relationship of science and technology that begins with basic research that flows into applied research, development and diffusion [ 1 ]
It posits scientific research as the basis of innovation which eventually leads to economic growth. [ 2 ]... | https://en.wikipedia.org/wiki/Linear_model_of_innovation |
The linear molecular geometry describes the geometry around a central atom bonded to two other atoms (or ligands ) placed at a bond angle of 180°. Linear organic molecules , such as acetylene ( HC≡CH ), are often described by invoking sp orbital hybridization for their carbon centers.
According to the VSEPR model (Val... | https://en.wikipedia.org/wiki/Linear_molecular_geometry |
Linear motion , also called rectilinear motion , [ 1 ] is one-dimensional motion along a straight line , and can therefore be described mathematically using only one spatial dimension . The linear motion can be of two types: uniform linear motion , with constant velocity (zero acceleration ); and non-uniform linear mot... | https://en.wikipedia.org/wiki/Linear_motion |
In computer networking , linear network coding is a program in which intermediate nodes transmit data from source nodes to sink nodes by means of linear combinations .
Linear network coding may be used to improve a network's throughput, efficiency, and scalability , as well as reducing attacks and eavesdropping. The ... | https://en.wikipedia.org/wiki/Linear_network_coding |
The linear no-threshold model ( LNT ) is a dose-response model used in radiation protection to estimate stochastic health effects such as radiation-induced cancer , genetic mutations and teratogenic effects on the human body due to exposure to ionizing radiation . The model assumes a linear relationship between dose an... | https://en.wikipedia.org/wiki/Linear_no-threshold_model |
Linear predictive coding ( LPC ) is a method used mostly in audio signal processing and speech processing for representing the spectral envelope of a digital signal of speech in compressed form, using the information of a linear predictive model . [ 1 ] [ 2 ]
LPC is the most widely used method in speech coding and spe... | https://en.wikipedia.org/wiki/Linear_predictive_coding |
In mathematics (including combinatorics , linear algebra , and dynamical systems ), a linear recurrence with constant coefficients [ 1 ] : ch. 17 [ 2 ] : ch. 10 (also known as a linear recurrence relation or linear difference equation ) sets equal to 0 a polynomial that is linear in the various iterates of a variable —... | https://en.wikipedia.org/wiki/Linear_recurrence_with_constant_coefficients |
Linear referencing , also called linear reference system or linear referencing system ( LRS ), is a method of spatial referencing over linear or curvilinear elements, such as roads or rivers. In LRS, the locations of physical features are described parametrically in terms of a single curvilinear coordinate , typically ... | https://en.wikipedia.org/wiki/Linear_referencing |
In linear algebra , a linear relation , or simply relation , between elements of a vector space or a module is a linear equation that has these elements as a solution.
More precisely, if e 1 , … , e n {\displaystyle e_{1},\dots ,e_{n}} are elements of a (left) module M over a ring R (the case of a vector space over a ... | https://en.wikipedia.org/wiki/Linear_relation |
A linear response function describes the input-output relationship of a signal transducer , such as a radio turning electromagnetic waves into music or a neuron turning synaptic input into a response. Because of its many applications in information theory , physics and engineering there exist alternative names for spec... | https://en.wikipedia.org/wiki/Linear_response_function |
In mathematics , the linear span (also called the linear hull [ 1 ] or just span ) of a set S {\displaystyle S} of elements of a vector space V {\displaystyle V} is the smallest linear subspace of V {\displaystyle V} that contains S . {\displaystyle S.} It is the set of all finite linear combinations of the elements of... | https://en.wikipedia.org/wiki/Linear_span |
A linear stage or translation stage is a component of a precise motion system used to restrict an object to a single axis of motion. The term linear slide is often used interchangeably with "linear stage", though technically "linear slide" refers to a linear motion bearing , which is only a component of a linear stage.... | https://en.wikipedia.org/wiki/Linear_stage |
In mathematics , and more specifically in linear algebra , a linear subspace or vector subspace [ 1 ] [ note 1 ] is a vector space that is a subset of some larger vector space. A linear subspace is usually simply called a subspace when the context serves to distinguish it from other types of subspaces .
If V is a vect... | https://en.wikipedia.org/wiki/Linear_subspace |
In systems theory , a linear system is a mathematical model of a system based on the use of a linear operator .
Linear systems typically exhibit features and properties that are much simpler than the nonlinear case.
As a mathematical abstraction or idealization, linear systems find important applications in automatic c... | https://en.wikipedia.org/wiki/Linear_system |
In system analysis , among other fields of study, a linear time-invariant ( LTI ) system is a system that produces an output signal from any input signal subject to the constraints of linearity and time-invariance ; these terms are briefly defined in the overview below. These properties apply (exactly or approximately)... | https://en.wikipedia.org/wiki/Linear_time-invariant_system |
Linear (or Longitudinal) Timecode ( LTC ) is an encoding of SMPTE timecode data in an audio signal , as defined in SMPTE 12M specification. The audio signal is commonly recorded on a VTR track or other storage media. The bits are encoded using the biphase mark code (also known as FM ): a 0 bit has a single transition... | https://en.wikipedia.org/wiki/Linear_timecode |
In algebra , a linear topology on a left A {\displaystyle A} -module M {\displaystyle M} is a topology on M {\displaystyle M} that is invariant under translations and admits a fundamental system of neighborhood of 0 {\displaystyle 0} that consists of submodules of M . {\displaystyle M.} [ 1 ] If there is such a topolog... | https://en.wikipedia.org/wiki/Linear_topology |
Transformation of three phase electrical quantities to two phase quantities is a usual practice to simplify analysis of three phase electrical circuits. Polyphase a.c machines can be represented by an equivalent two phase model provided the rotating polyphases winding in rotor and the stationary polyphase windings in s... | https://en.wikipedia.org/wiki/Linear_transformation_in_rotating_electrical_machines |
In mathematics , a linearised polynomial (or q -polynomial) is a polynomial for which the exponents of all the constituent monomials are powers of q and the coefficients come from some extension field of the finite field of order q .
We write a typical example as L ( x ) = ∑ i = 0 n a i x q i , {\displaystyle L(x)=\su... | https://en.wikipedia.org/wiki/Linearised_polynomial |
In mathematics, the term linear is used in two distinct senses for two different properties:
An example of a linear function is the function defined by f ( x ) = ( a x , b x ) {\displaystyle f(x)=(ax,bx)} that maps the real line to a line in the Euclidean plane R 2 that passes through the origin. An example of a linea... | https://en.wikipedia.org/wiki/Linearity |
In calculus , the derivative of any linear combination of functions equals the same linear combination of the derivatives of the functions; [ 1 ] this property is known as linearity of differentiation , the rule of linearity , [ 2 ] or the superposition rule for differentiation. [ 3 ] It is a fundamental property of th... | https://en.wikipedia.org/wiki/Linearity_of_differentiation |
The linearized augmented-plane-wave method ( LAPW ) is an implementation of Kohn-Sham density functional theory (DFT) adapted to periodic materials. [ 1 ] [ 2 ] [ 3 ] It typically goes along with the treatment of both valence and core electrons on the same footing in the context of DFT and the treatment of the full pot... | https://en.wikipedia.org/wiki/Linearized_augmented-plane-wave_method |
In mathematics , algebras A , B over a field k inside some field extension Ω {\displaystyle \Omega } of k are said to be linearly disjoint over k if the following equivalent conditions are met:
Note that, since every subalgebra of Ω {\displaystyle \Omega } is a domain , (i) implies A ⊗ k B {\displaystyle A\otimes _{k}... | https://en.wikipedia.org/wiki/Linearly_disjoint |
Lineatin is a pheromone produced by female striped ambrosia beetle , Trypodendron lineatum Olivier. These kinds of beetles are responsible for extensive damage of coniferous forest infestation in Europe and North America. Since lineatin can act as lures used for mass-trapping of T. lineatum , it is being studied to ap... | https://en.wikipedia.org/wiki/Lineatin |
The Lines of Stollhofen ( German : Bühl-Stollhofener Linie ) was a line of defensive earthworks built for the Reichsarmee at the start of the War of the Spanish Succession (1701–1714) running for about 15 kilometres (9.3 mi) from Stollhofen on the Rhine to the impenetrable woods on the hills east of Bühl. [ 1 ]
The li... | https://en.wikipedia.org/wiki/Lines_of_Stollhofen |
The Lines of Torres Vedras were lines of forts and other military defences built in secrecy to defend Lisbon during the Peninsular War . Named after the nearby town of Torres Vedras , they were ordered by Arthur Wellesley, Viscount Wellington , constructed by Colonel Richard Fletcher and his Portuguese workers between ... | https://en.wikipedia.org/wiki/Lines_of_Torres_Vedras |
In the field of biomechanics , the lines of non-extension are notional lines running across the human body along which body movement causes neither stretching or contraction. Discovered by Arthur Iberall in work beginning in the 1940s, as part of research into space suit design, [ 1 ] [ 2 ] [ 3 ] [ 4 ] they have been f... | https://en.wikipedia.org/wiki/Lines_of_non-extension |
A lineshaft roller conveyor or line-shaft conveyor is, as its name suggests, powered by a shaft beneath rollers. These conveyors are suitable for light applications up to 50 kg such as cardboard boxes and tote boxes.
A single shaft runs below the rollers running the length of the conveyor. On the shaft are a series of... | https://en.wikipedia.org/wiki/Lineshaft_roller_conveyor |
In Euclidean geometry , the intersection of a line and a line can be the empty set , a point , or another line . Distinguishing these cases and finding the intersection have uses, for example, in computer graphics , motion planning , and collision detection .
In three-dimensional Euclidean geometry, if two lines are n... | https://en.wikipedia.org/wiki/Line–line_intersection |
In analytic geometry , the intersection of a line and a plane in three-dimensional space can be the empty set , a point , or a line. It is the entire line if that line is embedded in the plane, and is the empty set if the line is parallel to the plane but outside it. Otherwise, the line cuts through the plane at a sing... | https://en.wikipedia.org/wiki/Line–plane_intersection |
In natural language processing , linguistics , and neighboring fields, Linguistic Linked Open Data (LLOD) describes a method and an interdisciplinary community concerned with creating, sharing, and (re-)using language resources in accordance with Linked Data principles. The Linguistic Linked Open Data Cloud was conceiv... | https://en.wikipedia.org/wiki/Linguistic_Linked_Open_Data |
Linguistic sequence complexity (LC) is a measure of the 'vocabulary richness' of a genetic text in gene sequences . [ 1 ] When a nucleotide sequence is written as text using a four-letter alphabet, the repetitiveness of the text, that is, the repetition of its N-grams (words), can be calculated and serves as a measure ... | https://en.wikipedia.org/wiki/Linguistic_sequence_complexity |
Lingyin Li (born 1981) is a Chinese American chemical biologist who is a professor of biochemistry at Stanford University and core investigator at Arc Institute . Her research studies the chemical biology of innate immunity to design better therapeutics. She was named one of Chemical & Engineering News Talented 12 in 2... | https://en.wikipedia.org/wiki/Lingyin_Li |
The link in a simplicial complex is a generalization of the neighborhood of a vertex in a graph. The link of a vertex encodes information about the local structure of the complex at the vertex.
Given an abstract simplicial complex X and v {\textstyle v} a vertex in V ( X ) {\textstyle V(X)} , its link Lk ( v , X ) {... | https://en.wikipedia.org/wiki/Link_(simplicial_complex) |
Link Labs is an American company based in Annapolis, Maryland , that develops computer network technology for business and industrial customers. Link Labs technologies are marketed for Internet of things (IoT) applications and devices. [ 1 ] [ 2 ]
The company was founded in 2014 [ 3 ] by Brian Ray and 3 engineers from... | https://en.wikipedia.org/wiki/Link_Labs |
Link Motion Inc , formerly NetQin and NQ Mobile , is a multinational technology company that develops, licenses, supports and sells software and services that focus on the smart ride business. Link Motion sells carputers for car businesses, consumer ride sharing services, as well as legacy mobile security , productivit... | https://en.wikipedia.org/wiki/Link_Motion_Inc |
In computer networking , link aggregation is the combining ( aggregating ) of multiple network connections in parallel by any of several methods. Link aggregation increases total throughput beyond what a single connection could sustain, and provides redundancy where all but one of the physical links may fail without lo... | https://en.wikipedia.org/wiki/Link_aggregation |
A link budget is an accounting of all of the power gains and losses that a communication signal experiences in a telecommunication system; from a transmitter, through a communication medium such as radio waves , cables , waveguides , or optical fibers , to the receiver. It is an equation giving the received power from... | https://en.wikipedia.org/wiki/Link_budget |
In computational geometry , the link distance between two points in a polygon is the minimum number of line segments of any polygonal chain within the polygon that has the two points as its endpoints. The link diameter of the polygon is the maximum link distance of any two of its points.
A polygon is a convex polygon ... | https://en.wikipedia.org/wiki/Link_distance |
In a wireless communication system , the link margin (LKM) is a critical parameter that measures the reliability and robustness of the communication link. It is expressed in decibels (dB) and represents the difference between the minimum expected power received at the receiver's end and the receiver's sensitivity. The ... | https://en.wikipedia.org/wiki/Link_margin |
In chemistry , linkage isomerism or ambidentate isomerism is a form of structural isomerism in which certain coordination compounds have the same composition but differ in which atom of the ligand is bonded to the metal.
Typical ligands that give rise to linkage isomers are:
An example of chemicals that are linkage i... | https://en.wikipedia.org/wiki/Linkage_isomerism |
Linked-read sequencing , a type of DNA sequencing technology, uses specialized technique that tags DNA molecules with unique barcodes before fragmenting them. Unlike traditional sequencing technology, where DNA is broken into small fragments and then sequenced individually, resulting in short read lengths that has diff... | https://en.wikipedia.org/wiki/Linked-read_sequencing |
In mathematics , an upwards linked set A is a subset of a partially ordered set , P , in which any two of elements A have a common upper bound in P . Similarly, every pair of elements of a downwards linked set has a lower bound. Every centered set is linked, which includes, in particular, every directed set .
This mat... | https://en.wikipedia.org/wiki/Linked_set |
In molecular biology , linker DNA is double-stranded DNA (38-53 base pairs long) in between two nucleosome cores that, in association with histone H1 , holds the cores together. Linker DNA is seen as the string in the "beads and string model", which is made by using an ionic solution on the chromatin . Linker DNA con... | https://en.wikipedia.org/wiki/Linker_DNA |
A linklog is a type of blog which is meant to act as a linked list. Common practice is for the post titles to link directly to an external URLs , and the content of the post includes information to complement the associated URL. [ 1 ]
Linklogs existed as a feature of computing systems before the internet as well. In... | https://en.wikipedia.org/wiki/Linklog |
Linksys Holdings, Inc. , is an American brand of data networking hardware products mainly sold to home users and small businesses. It was founded in 1988 by the couple Victor and Janie Tsao , both Taiwanese immigrants to the United States. [ 1 ] Linksys products include Wi-Fi routers , mesh Wi-Fi systems, Wifi extender... | https://en.wikipedia.org/wiki/Linksys |
A Linkwitz–Riley ( L-R ) filter is an infinite impulse response filter used in Linkwitz–Riley audio crossovers . It is named after its inventors Siegfried Linkwitz and Russ Riley and was originally described in Active Crossover Networks for Noncoincident Drivers . [ 1 ] [ 2 ] It is also known as a Butterworth squared f... | https://en.wikipedia.org/wiki/Linkwitz–Riley_filter |
The Linnaean enterprise is the task of identifying and describing all living species . It is named after Carl Linnaeus , a Swedish botanist , ecologist and physician who laid the foundations for the modern scheme of taxonomy . [ 1 ]
As of 2006, the Linnaean enterprise is considered to be barely begun. There are estima... | https://en.wikipedia.org/wiki/Linnaean_enterprise |
Linnaean taxonomy can mean either of two related concepts:
Linnaean name also has two meanings, depending on the context: it may either refer to a formal name given by Linnaeus (personally), such as Giraffa camelopardalis Linnaeus, 1758 ; or a formal name in the accepted nomenclature (as opposed to a modernistic clade... | https://en.wikipedia.org/wiki/Linnaean_taxonomy |
Linnaeus's flower clock was a garden plan hypothesized by Carl Linnaeus that would take advantage of several plants that open or close their flowers at particular times of the day to accurately indicate the time. [ 1 ] [ 2 ] According to Linnaeus's autobiographical notes, he discovered and developed the floral clock in... | https://en.wikipedia.org/wiki/Linnaeus's_flower_clock |
Linnar Viik (born 26 February 1965 in Tallinn ) is an Estonian information technology scientist, entrepreneur and IT visionary.
Currently he is a visiting lecturer at University of Tartu , Estonian Academy of Arts and Tallinn University , Partner and Member of the Board of Mobi Solutions and Chairman of the Superviso... | https://en.wikipedia.org/wiki/Linnar_Viik |
Linnett double-quartet theory (LDQ) is a method of describing the bonding in molecules which involves separating the electrons depending on their spin , placing them into separate 'spin tetrahedra' to minimise the Pauli repulsions between electrons of the same spin. Introduced by J. W. Linnett in his 1961 monograph [ 1... | https://en.wikipedia.org/wiki/Linnett_double-quartet_theory |
Linnik's theorem in analytic number theory answers a natural question after Dirichlet's theorem on arithmetic progressions . It asserts that there exist positive c and L such that, if we denote p( a , d ) the least prime in the arithmetic progression
where n runs through the positive integers and a and d are any given... | https://en.wikipedia.org/wiki/Linnik's_constant |
Linolelaidic acid is an omega-6 trans fatty acid (TFA) and is a cis–trans isomer of linoleic acid . It is found in partially hydrogenated vegetable oils. It is a white (or colourless) viscous liquid.
TFAs are classified as conjugated and nonconjugated, corresponding usually to the structural elements −CH=CH−CH=CH− and... | https://en.wikipedia.org/wiki/Linolelaidic_acid |
Linseed oil , also known as flaxseed oil or flax oil (in its edible form), is a colorless to yellowish oil obtained from the dried, ripened seeds of the flax plant ( Linum usitatissimum ). The oil is obtained by pressing , sometimes followed by solvent extraction .
Owing to its polymer-forming properties, linseed oil ... | https://en.wikipedia.org/wiki/Linseed_oil |
Linuron (3-(3,4-dichlorophenyl)-1-methoxy-1-methylurea) is a phenylurea herbicide [ 1 ] that is used to control the growth of grass and weeds for the purpose of supporting the growth of crops like soybeans . [ 2 ] [ 3 ]
Linuron acts via inhibition of photosystem II , which is necessary for photosynthetic electron tran... | https://en.wikipedia.org/wiki/Linuron |
Linux.com is a website that is owned by the Linux Foundation , where the goal of the site is to provide information about open source technology, careers, best practices, and industry trends. It also acts as a hub for the Linux community. [ 1 ] Linux.com offers free Linux tutorials, certifications, news and blogs, dis... | https://en.wikipedia.org/wiki/Linux.com |
LinuxMCE (Linux Media Center Edition) is a free and open source software platform with a 10-foot user interface designed to allow a computer to act as a home theater PC (HTPC) for the living-room TV, personal video recorder , and home automation system. It allows control of everything in the home, from lighting and cli... | https://en.wikipedia.org/wiki/LinuxMCE |
In computing , an oops is a serious but non-fatal error in the Linux kernel . An oops may precede a kernel panic , but it may also allow continued operation with compromised reliability . The term does not stand for anything, other than that it is a simple mistake.
When the kernel detects a problem, it kills any offen... | https://en.wikipedia.org/wiki/Linux_kernel_oops |
Besides the Linux distributions designed for general-purpose use on desktops and servers, distributions may be specialized for different purposes including computer architecture support, embedded systems , stability, security, localization to a specific region or language, targeting of specific user groups, support for... | https://en.wikipedia.org/wiki/Linux_range_of_use |
In combinatorial optimization , Lin–Kernighan is one of the best heuristics for solving the symmetric travelling salesman problem . [ citation needed ] It belongs to the class of local search algorithms, which take a tour ( Hamiltonian cycle ) as part of the input and attempt to improve it by searching in the neighbour... | https://en.wikipedia.org/wiki/Lin–Kernighan_heuristic |
Lionel Salem (5 March 1937 – 29 June 2024) [ 1 ] was a French theoretical chemist , former research director at the French National Centre for Scientific Research (CNRS), retired since 1999. [ 2 ] He was a member of the International Academy of Quantum Molecular Science [ 3 ] which named him its annual award winner in ... | https://en.wikipedia.org/wiki/Lionel_Salem |
In differential geometry , Liouville's equation , named after Joseph Liouville , [ 1 ] [ 2 ] is the nonlinear partial differential equation satisfied by the conformal factor f of a metric f 2 (d x 2 + d y 2 ) on a surface of constant Gaussian curvature K :
where ∆ 0 is the flat Laplace operator
Liouville's equation a... | https://en.wikipedia.org/wiki/Liouville's_equation |
In mathematics , Liouville's formula , also known as the Abel–Jacobi–Liouville identity , is an equation that expresses the determinant of a square-matrix solution of a first-order system of homogeneous linear differential equations in terms of the sum of the diagonal coefficients of the system. The formula is named af... | https://en.wikipedia.org/wiki/Liouville's_formula |
In physics , Liouville's theorem , named after the French mathematician Joseph Liouville , is a key theorem in classical statistical and Hamiltonian mechanics . It asserts that the phase-space distribution function is constant along the trajectories of the system —that is that the density of system points in the vicini... | https://en.wikipedia.org/wiki/Liouville's_theorem_(Hamiltonian) |
In complex analysis , Liouville's theorem , named after Joseph Liouville (although the theorem was first proven by Cauchy in 1844 [ 1 ] ), states that every bounded entire function must be constant . That is, every holomorphic function f {\displaystyle f} for which there exists a positive number M {\displaystyle M} suc... | https://en.wikipedia.org/wiki/Liouville's_theorem_(complex_analysis) |
In mathematics , Liouville's theorem , proved by Joseph Liouville in 1850, [ 1 ] is a rigidity theorem about conformal mappings in Euclidean space . It states that every smooth conformal mapping on a domain of R n , where n > 2, can be expressed as a composition of translations , similarities , orthogonal transformatio... | https://en.wikipedia.org/wiki/Liouville's_theorem_(conformal_mappings) |
In mathematics , Liouville's theorem , originally formulated by French mathematician Joseph Liouville in 1833 to 1841, [ 1 ] [ 2 ] [ 3 ] places an important restriction on antiderivatives that can be expressed as elementary functions .
The antiderivatives of certain elementary functions cannot themselves be expressed ... | https://en.wikipedia.org/wiki/Liouville's_theorem_(differential_algebra) |
In classical mechanics , a Liouville dynamical system is an exactly solvable dynamical system in which the kinetic energy T and potential energy V can be expressed in terms of the s generalized coordinates q as follows: [ 1 ]
The solution of this system consists of a set of separably integrable equations
where E = T ... | https://en.wikipedia.org/wiki/Liouville_dynamical_system |
In physics , Liouville field theory (or simply Liouville theory ) is a two-dimensional conformal field theory whose classical equation of motion is a generalization of Liouville's equation .
Liouville theory is defined for all complex values of the central charge c {\displaystyle c} of its Virasoro symmetry algebra , ... | https://en.wikipedia.org/wiki/Liouville_gravity |
In number theory , a Liouville number is a real number x {\displaystyle x} with the property that, for every positive integer n {\displaystyle n} , there exists a pair of integers ( p , q ) {\displaystyle (p,q)} with q > 1 {\displaystyle q>1} such that
The inequality implies that Liouville numbers possess an excellent... | https://en.wikipedia.org/wiki/Liouville_number |
In the mathematical physics of quantum mechanics , Liouville space , also known as line space , is the space of operators on Hilbert space . Liouville space is itself a Hilbert space under the Hilbert-Schmidt inner product . [ 1 ] [ 2 ]
Abstractly, Liouville space is equivalent ( isometrically isomorphic ) to the ten... | https://en.wikipedia.org/wiki/Liouville_space |
In dynamical systems theory, the Liouville–Arnold theorem states that if, in a Hamiltonian dynamical system with n degrees of freedom , there are also n independent,
Poisson commuting first integrals of motion , and the level sets of all first integrals are compact, then there exists a canonical transformation to actio... | https://en.wikipedia.org/wiki/Liouville–Arnold_theorem |
In mathematics , Liouville–Bratu–Gelfand equation or Liouville's equation is a non-linear Poisson equation , named after the mathematicians Joseph Liouville , [ 1 ] Gheorghe Bratu [ 2 ] and Israel Gelfand . [ 3 ] The equation reads
The equation appears in thermal runaway as Frank-Kamenetskii theory , astrophysics for ... | https://en.wikipedia.org/wiki/Liouville–Bratu–Gelfand_equation |
In mathematics , the Liouville–Neumann series is a function series that results from applying the resolvent formalism to solve Fredholm integral equations in Fredholm theory .
The Liouville–Neumann series is defined as
which, provided that λ {\displaystyle \lambda } is small enough so that the series converges, is th... | https://en.wikipedia.org/wiki/Liouville–Neumann_series |
In mathematics , the Liouvillian functions comprise a set of functions including the elementary functions and their repeated integrals . Liouvillian functions can be recursively defined as integrals of other Liouvillian functions.
More explicitly, a Liouvillian function is a function of one variable which is the compo... | https://en.wikipedia.org/wiki/Liouvillian_function |
3988
16889
ENSG00000107798
ENSMUSG00000024781
P38571
Q9Z0M5
NM_000235 NM_001127605 NM_001288979
NM_001111100 NM_021460
NP_000226 NP_001121077 NP_001275908
NP_001104570 NP_067435
Lipase A, lysosomal acid type is a protein that in humans is encoded by the LIPA gene . [ 5 ]
This gene encodes lipase A, the lysos... | https://en.wikipedia.org/wiki/Lipase_A,_lysosomal_acid_type |
In membrane biology , fusion is the process by which two initially distinct lipid bilayers merge their hydrophobic cores, resulting in one interconnected structure. If this fusion proceeds completely through both leaflets of both bilayers, an aqueous bridge is formed and the internal contents of the two structures can ... | https://en.wikipedia.org/wiki/Lipid_bilayer_fusion |
Lipid bilayer mechanics is the study of the physical material properties of lipid bilayers , classifying bilayer behavior with stress and strain rather than biochemical interactions. Local point deformations such as membrane protein interactions are typically modelled with the complex theory of biological liquid crysta... | https://en.wikipedia.org/wiki/Lipid_bilayer_mechanics |
Lipid droplets , also referred to as lipid bodies, oil bodies or adiposomes, [ 1 ] are lipid-rich cellular organelles that regulate the storage and hydrolysis of neutral lipids and are found largely in the adipose tissue. [ 2 ] They also serve as a reservoir for cholesterol and acyl-glycerols for membrane formation and... | https://en.wikipedia.org/wiki/Lipid_droplet |
Lipid microdomains are formed when lipids undergo lateral phase separations yielding stable coexisting lamellar domains . These phase separations can be induced by changes in temperature , pressure , ionic strength or by the addition of divalent cations or proteins . The question of whether such lipid microdomains obse... | https://en.wikipedia.org/wiki/Lipid_microdomain |
Lipid peroxidation , or lipid oxidation , is a complex chemical process that leads to oxidative degradation of lipids , [ 1 ] resulting in the formation of peroxide and hydroperoxide derivatives. [ 2 ] It occurs when free radicals , specifically reactive oxygen species (ROS), interact with lipids within cell membranes ... | https://en.wikipedia.org/wiki/Lipid_peroxidation |
In biophysics and colloidal chemistry , polymorphism is the ability of lipids to aggregate in a variety of ways, giving rise to structures of different shapes, known as " phases ". This can be in the form of spheres of lipid molecules ( micelles ), pairs of layers that face one another ( lamellar phase , observed in b... | https://en.wikipedia.org/wiki/Lipid_polymorphism |
The lipid pump sequesters carbon from the ocean's surface to deeper waters via lipids associated with overwintering vertically migratory zooplankton . Lipids are a class of hydrocarbon rich, nitrogen and phosphorus deficient compounds essential for cellular structures. This lipid carbon enters the deep ocean as carbon ... | https://en.wikipedia.org/wiki/Lipid_pump |
Lipid signaling, broadly defined, refers to any biological cell signaling event involving a lipid messenger that binds a protein target, such as a receptor , kinase or phosphatase , which in turn mediate the effects of these lipids on specific cellular responses. Lipid signaling is thought to be qualitatively different... | https://en.wikipedia.org/wiki/Lipid_signaling |
Lipidology is the scientific study of lipids . Lipids are a group of biological macromolecules that have a multitude of functions in the body. [ 1 ] [ 2 ] [ 3 ] Clinical studies on lipid metabolism in the body have led to developments in therapeutic lipidology for disorders such as cardiovascular disease. [ 4 ]
Compar... | https://en.wikipedia.org/wiki/Lipidology |
Lipidomics is the large-scale study of pathways and networks of cellular lipids in biological systems. [ 1 ] [ 2 ] [ 3 ] The word " lipidome " is used to describe the complete lipid profile within a cell, tissue, organism, or ecosystem and is a subset of the " metabolome " which also includes other major classes of bio... | https://en.wikipedia.org/wiki/Lipidomics |
Lipinski's rule of five , also known as Pfizer's rule of five or simply the rule of five ( RO5 ), is a rule of thumb to evaluate druglikeness or determine if a chemical compound with a certain pharmacological or biological activity has chemical properties and physical properties that would likely make it an orally acti... | https://en.wikipedia.org/wiki/Lipinski's_rule_of_five |
A lipoblast is a precursor cell for an adipocyte . [ 1 ] Alternate terms include adipoblast [ 2 ] and preadipocyte . [ 3 ] Early stages are almost indistinguishable from fibroblasts . [ 4 ]
Lipoblasts are seen in liposarcoma [ 7 ] and characteristically have abundant multivacuolated clear cytoplasm and a dark staining... | https://en.wikipedia.org/wiki/Lipoblast |
Lipotoxicity is a metabolic syndrome that results from the accumulation of lipid intermediates in non- adipose tissue , leading to cellular dysfunction and death . The tissues normally affected include the kidneys , liver , heart and skeletal muscle . Lipotoxicity is believed to have a role in heart failure , obesity ,... | https://en.wikipedia.org/wiki/Lipoexpediency |
Lipofectamine or Lipofectamine 2000 is a common transfection reagent , produced and sold by Invitrogen , used in molecular and cellular biology . [ 1 ] It is used to increase the transfection efficiency of RNA (including mRNA and siRNA ) or plasmid DNA into in vitro cell cultures by lipofection . [ 1 ] Lipofectamine co... | https://en.wikipedia.org/wiki/Lipofectamine |
Lipofuscin is the name given to fine yellow-brown pigment granules composed of lipid -containing residues of lysosomal digestion. [ 1 ] [ 2 ] It is considered to be one of the aging or "wear-and-tear" pigments, found in the liver , kidney , heart muscle, retina, adrenals , nerve cells, and ganglion cells. [ 3 ]
Lipofu... | https://en.wikipedia.org/wiki/Lipofuscin |
Lipoic acid ( LA ), also known as α-lipoic acid , alpha-lipoic acid ( ALA ) and thioctic acid , is an organosulfur compound derived from caprylic acid (octanoic acid). [ 3 ] ALA, which is made in animals normally, is essential for aerobic metabolism . It is also available as a dietary supplement or pharmaceutical drug ... | https://en.wikipedia.org/wiki/Lipoic_acid |
A lipokine is a lipid -controlling hormone . The term was coined by Hotamisligil Lab in 2008 to classify fatty acids which modulate lipid metabolism by what he called a "chaperone effect". [ 1 ]
The lipokine palmitoleic acid (C16:1n7-palmitoleate) travels to the muscles and liver, where it improves cell sensitivity to... | https://en.wikipedia.org/wiki/Lipokine |
Lipolysis / l ɪ ˈ p ɒ l ɪ s ɪ s / is the metabolic pathway through which lipid triglycerides are hydrolyzed into a glycerol and free fatty acids . It is used to mobilize stored energy during fasting or exercise , and usually occurs in fat adipocytes . The most important regulatory hormone in lipolysis is insulin ; lipo... | https://en.wikipedia.org/wiki/Lipolysis |
Lipomannan is a mycobacterium immune agonist . [ 1 ] In addition, it is a major constituent of the mycobacterium cell wall. This glycoconjugate is a virulence factor that plays a key role in the human immune system via interaction with various immune cells. It is also considered to be a precursor of lipoarabinomannans... | https://en.wikipedia.org/wiki/Lipomannan |
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