Lambda

Look up Λ, λ in Wiktionary, the free dictionary.

Greek alphabet
Αα Alpha	Νν Nu
Ββ Beta	Ξξ Xi
Γγ Gamma	Οο Omicron
Δδ Delta	Ππ Pi
Εε Epsilon	Ρρ Rho
Ζζ Zeta	Σσς Sigma
Ηη Eta	Ττ Tau
Θθ Theta	Υυ Upsilon
Ιι Iota	Φφ Phi
Κκ Kappa	Χχ Chi
Λλ Lambda	Ψψ Psi
Μμ Mu	Ωω Omega
Obsolete letters
Digamma	Image:Qoppa uc lc.svg Qoppa
Image:San uc lc.svg San	Image:Sampi uc lc.svg Sampi
Greek diacritics

Lambda (uppercase Λ, lowercase λ; Greek: Λάμβδα or Λάμδα, Lamtha) is the 11th letter of the Greek alphabet. In the system of Greek numerals it has a value of 30. Letters that arose from Lambda include the Roman L and the Cyrillic letter El (Л, л). In Modern Greek the name of the letter, Λάμδα, is pronounced [lamða]; the letter itself is pronounced [l] as with Latin L.

Symbol

Upper-case letter Λ

• The lambda particles in particle physics.
• The set of logical axioms in the axiomatic method of logical deduction in first-order logic.
• The cosmological constant.
• Used as a shield pattern by the Spartan army; it stood for Lakedaimon, the name of the region.
• The von Mangoldt function in number theory.
• In statistics, Wilk's lambda is used in multivariate analysis of variance (MANOVA) to compare group means on a combination of dependent variables.
• In spectral decomposition of matrices, a diagonal matrix of eigenvalues of the decomposed matrix.
• In astronomy, the likelihood that a small body will encounter a planet or dwarf planet leading to a deflection of a particular magnitude. An object with a large value is expected to have cleared its neighborhood, satisfying the current definition of a planet.
• In crystal optics, it is used to represent the period of a lattice.
• In NATO military operations, the Lambda symbol is painted on coalition force vehicles for identification.
• In Electrochemistry, denotes the Equivalent conductance of an electrolyte.

Lower-case letter λ

• A non-SI unit of measure of volume (symbol λ) equal to one microlitre (1 μL) or one cubic millimetre (1 mm³). This now-rare use is deprecated.
• The wavelength of a wave in physics/radio sciences
• In physics, linear charge density of a uniformly charged line(measured in C/M).
• The radioactive decay constant (Connected to half-life of a radioactive isotope in physics)
• The lambda phage virus in biology
• In computer science, a function expression in the lambda calculus and, by extension, in some programming languages. Also, the empty string, sometimes represented as epsilon (ε).
• In telecommunications, a frequency/wavelength on a WDM optical transport system
• Eigenvalues in linear algebra
• Lagrange multipliers in calculus
• Lebesgue measure in set theory
• Goodman and Kruskal's lambda is a statistic that gives the proportional reduction in error when one variable's values are used to predict the values of another variable.
• stoichiometric air to fuel ratio oxygen sensor in an internal combustion engine's exhaust gas
• A Japanese rocket type, Lambda (rocket)
• The failure rate in hours (also the reciprocal of MTBF) in reliability theory.
• In criminology, the individual offending frequency.
• In the game Half-Life, Gordon Freeman sports the lambda symbol on his HEV suit, which is also used by the Resistance in the Half-Life 2 as their symbol, in keeping with the previous point.
• Christopher Langton's parameter for clasification Stephen Wolfram's classes of cellular automata
• In Electrochemistry is used to denote the ionic conductance for a given ion (The ion is generally shown as a subscript to the lambda character).
• In Neurobiology is the Length constant or exponential rate of decay of potential across a membrane along a length of axon.
• In Pharmacology, used to denote one of several types of opiate receptors in the brain. Others receptors are named after the Greek letters mu (μ) and lambda (λ). Mu receptors have a high affinity for the opiate drug morphine, and was thusly named after the Greek God of Dreams, [[Morpheus]].^[1]
  • In Heat Transfer, is used to denote the heat of vaporization per mole or latent heat.^[2]
    • A symbol of gay pride in widespread use in the gay community, particularly in the 1970s and 1980s.

    Lambda, the word

    • In anatomy, the lambda is that point on the skull where the two parietal bones and the occipital bone come together. The configuration of the sutures resembles an upper case lambda, and the suture between each parietal bone and the occipital bone is called the lambdoid suture.
    • In programming languages such as Lisp and Python, lambda is an operator used to create closures.
    • The language Unlambda is a functional programming language based upon combinatory logic, a simplification of the lambda calculus that does not involve the lambda at all, hence the un- prefix.
    • An automotive oxygen sensor is also known as an O2 sensor, lambda probe, lambda sensor and lambda sound
    • Guy Steele, both alone and with Gerald Sussman (the two co-inventors of the Scheme programming language), wrote a series of papers beginning with the title "Lambda, the ultimate" [1]. The programming website Lambda the Ultimate[2] derives its name from these papers.
    • Lambda is used in art and photography to refer to a digital Type C print or the equipment used to produce it.

    Lambda as a name

    • The popular science fiction universe of Star Wars uses a transport vehicle known as the Lambda-class shuttle that when viewed forward has the shape of the lowercase lambda.
    • Lambda is occasionally used in graphic design to represent stylized A's. Examples include the Disney movie Atlantis: The Lost Empire, the TV series Stargate SG-1 and Stargate Atlantis, the logo of the band Angels & Airwaves, the logo of the band Dream Theater, and the logo of electronics company Samsung. Conversely, the name of the band Λucifer (pronounced lucifer) is sometimes spelt Aucifer.
    Image:Capital Lambda.svg

    A capital Lambda
    • Stargate SG-1 uses a modified upper-case lambda, with a small circle above the apex, to indicate Earth. This symbol has since become associated with the entire franchise.
    • In the Half-Life series of computer games, the 'a' in the title is replaced by the lower case lambda symbol. Also, the Lambda Complex and the protagonist Gordon Freeman's suit both feature a lower-case lambda symbol. In Half-Life 2, the 'a' in the title is also replaced by the lower case lambda symbol and the symbol is also the logo for The Resistance. The robotic Dog and graffiti sprayed around City 17 also features the symbol. The logo of the Half-Life series is a circle with the lower case lambda symbol in it, shown with a "2" superscript for Half-Life 2.
    • As a bonus following the conclusion of the X-DAY manga, by Mizushiro Setona, the second book features a short tale entitled "The Last Supper." Its protagonist is a cow, genetically modified to have more human features, Lambda 26. The lambda character is tattooed on the outside of his right forearm.
    • GM Lambda platform, a crossover SUV automobile platform from General Motors
    • The name of the Nerds' fraternity in Revenge of the Nerds film series was Lambda Lambda Lambda, or "the Tri-Lambs." The logo consisted of three capital Lambda letters inside a triangle.
    • In the popular anime series Full Metal Panic! A select few Arm Slaves possess the device called the Lambda Driver which can manifest emotional thought patterns into raw physical (and sometimes destructive) power. In Full Metal Panic! (primary series), Sousuke Sagara's ARX-7 "Arbalest" has a Lambda Driver (but due to Sagara's lack of experience, it only served to aid him most minimally and improved as time progressed). All oppositions Sousuke has faced where his enemy has used the Lambda Driver also exhibited great power, especially Gauron on three counts; and were all defeated using Arbalest's Lambda Driver.
    • In the Sailor Moon manga, the character Sailor Cosmos claimed to have the ultimate "Lambda Power."
    • Is the one of the main antagonists in Wild Arms: The 4th Detonator.
    • In the video game Skies of Arcadia, the character Aika uses an attack known as Lambda Burst. In fact, all her attacks are based on Greek letters.
    • Lambda is a name of an electrostatic headphone made by the audio company Stax Earspeakers. It is also a name of an amp made by Z-audio.
    • Lambda Acid is also the name of a synthesis item in the online action RPG, Phantasy Star Universe.
    • Lambda Ltd. is the name of a large technology company in the Custom Robo series of video games.
    • The latest installment of the Guilty Gear series of games is called Guilty Gear XX Λ Core, commonly pronounced as "Guilty Gear Accent Core".
    • Lambda Legal is a gay & lesbian legal advocacy group in the United States.
    • Lambda Literary Awards is the name of a group of U.S. book awards presented annually for gay and lesbian literature.
    • Lambda Particles is the name for the GLBT group at the Stanford Linear Accelerator Center.
    • National LambdaRail is a research high-speed computer network.
    • Lambda Americas is a manufacturer of power supplies that was founded in 1948.
    • Hyundai Motors uses Lambda to identify their 3.8 liter V6 engine.

    See also

    • Greek letters used in mathematics, science, and engineering

    References

    1. ^ Goodman & Gilman's The Pharmacological Basis of Therapeutics, 9th ed., Hardman, Limbard, et al.
    2. ^ Wankat Separation Process Engineering 2nd ed, Prentice Hall

    
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