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Superfluid transition temperature of helium-4
The lambda point is the temperature at which normal fluid helium (helium I) makes the transition to superfluid state (helium II). At pressure of 1 atmosphere
Lambda_point
Scientific refrigeration apparatus
A lambda point refrigerator is a device used to cool liquid helium, typically around a superconducting magnet or for low temperature measurements, from
Lambda_point_refrigerator
Higher-order function which returns some fixed point of the input function
\mathrm {fix} \ f\ =f\ (\mathrm {fix} \ f).} Fixed-point combinators can be defined in the lambda calculus and in functional programming languages, and
Fixed-point_combinator
Thermodynamic point where three matter phases exist
should be confused with the lambda point, which is not any kind of triple point. The first mention of the term "triple point" was on August 3, 1871, by
Triple_point
Mathematical-logic system
In mathematical logic, the lambda calculus (also written as λ-calculus) is a formal system for expressing computation based on function abstraction and
Lambda_calculus
State of matter at low temperatures
that would restrict liquid helium I (that is, liquid helium above the lambda point, 2.17 K) and even other materials in a gaseous state. Frictionless flow
Superfluid_helium-4
Eleventh letter in the Greek alphabet
Lambda (/ˈlæmdə/ ; uppercase Λ, lowercase λ; Greek: λάμ(β)δα, lám(b)da; Ancient Greek: λά(μ)βδα, lá(m)bda), sometimes rendered lamda, labda or lamma, is
Lambda
Liquid state of the element helium
vacuum bottle) at 4.2 K (−268.95 °C) and 1 bar (15 psi) boiling slowly. Lambda point transition: as the liquid is cooled down through 2.17 K (−270.98 °C)
Liquid_helium
Topics referred to by the same term
Canada Lambda (anatomy), a point on the skull Lambda (unit), a non-SI unit of volume Lambda baryon, a family of subatomic particles SARS-CoV-2 Lambda variant
Lambda_(disambiguation)
Flow of fluids with zero viscosity (superfluids)
superfluid once it is cooled to below 2.2K, a point known as the lambda point. At temperatures above the lambda point, helium exists as a liquid exhibiting normal
Inviscid_flow
Formalism in computer science
assigned to lambda terms; the exact nature of a type depends on the calculus considered (see kinds below). From a certain point of view, typed lambda calculi
Typed_lambda_calculus
Meeting point of the sagittal suture and the lambdoid suture of the skull
The lambda is the meeting point of the sagittal suture and the lambdoid suture. This is also the point of the occipital angle. It is named after the Greek
Lambda_(anatomy)
Topics referred to by the same term
Look up lambda function in Wiktionary, the free dictionary. Lambda function may refer to: Dirichlet lambda function, λ(s) = (1 – 2−s)ζ(s) where ζ is the
Lambda_function
Applications of liquid helium
classical fluids, along with quantum characteristics. However, below its lambda point of 2.17 K, helium transitions to He II and becomes a quantum superfluid
Helium_cryogenics
Chemical element with atomic number 2 (He)
temperature, is a superfluid. Below its boiling point of 4.22 K (−268.93 °C; −452.07 °F) and above the lambda point of 2.1768 K (−270.9732 °C; −455.7518 °F)
Helium
Euclidean space without distance and angles
\lambda _{1}+\dots +\lambda _{n}=1,} one may write g = λ 1 a 1 + ⋯ + λ n a n . {\displaystyle g=\lambda _{1}a_{1}+\dots +\lambda _{n}a_{n}.} The point
Affine_space
Model for superfluidity and traffic
states that there will be two components in liquid helium below its lambda point (the temperature where superfluid forms). These components are a normal
Two-fluid_model
Quantum mechanical phenomenon in which heat transfer occurs by wave-like motion
Second sound is observed in liquid helium at temperatures below the lambda point, 2.1768 K, where 4He becomes a superfluid known as helium II. Helium
Second_sound
Dutch physicist (1876–1956)
Onnes received the 1913 Nobel Prize in Physics). He also discovered the lambda point transition specific-heat maximum between helium-I and helium-II in 1930
Willem_Hendrik_Keesom
Random set of points on a space with random number and random position
_{i}e^{-\lambda \|B_{i}\|}{\frac {(\lambda \|B_{i}\|)^{k_{i}}}{k_{i}!}}.} The constant λ {\displaystyle \lambda } is called the intensity of the Poisson point
Point_process
Coordinate system that is defined by points instead of vectors
_{2}y_{2}+\lambda _{3}y_{3}+(1-\lambda _{1}-\lambda _{2}-\lambda _{3})y_{4}\\z&=\lambda _{1}z_{1}+\,\lambda _{2}z_{2}+\lambda _{3}z_{3}+(1-\lambda _{1}-\lambda _{2}-\lambda
Barycentric_coordinate_system
American theoretical physicist (1918–1988)
(1999). "Specific heat of liquid helium in zero gravity very near the lambda point". Physical Review D. 60 (8) 085001. arXiv:hep-th/9812197. Bibcode:1999PhRvD
Richard_Feynman
Forms which matter can take
helium-4, the most common isotope of helium, forms a superfluid below the lambda temperature of 2.17 K (−270.98 °C; −455.76 °F). The state is described as
State_of_matter
Topics referred to by the same term
Lambda expression may refer to: Lambda expression in computer programming, also called an anonymous function, is a defined function not bound to an identifier
Lambda_expression
Concepts from linear algebra
\det(A-\lambda I)=(\lambda _{1}-\lambda )^{\mu _{A}(\lambda _{1})}(\lambda _{2}-\lambda )^{\mu _{A}(\lambda _{2})}\cdots (\lambda _{d}-\lambda )^{\mu _{A}(\lambda
Eigenvalues_and_eigenvectors
Semi-fictional hacking organization
The Knights of the Lambda Calculus is a semi-fictional organization of expert Lisp and Scheme hackers. The name refers to the lambda calculus, a mathematical
Knights of the Lambda Calculus
Knights_of_the_Lambda_Calculus
Probability distribution
{\frac {\lambda _{0}e^{\lambda _{0}x}}{\lambda e^{\lambda x}}}\right)\\&=\log(\lambda _{0})-\log(\lambda )-(\lambda _{0}-\lambda )E_{\lambda _{0}}(x)\\&=\log(\lambda
Exponential_distribution
V6 engine manufactured by Hyundai
The Hyundai Lambda engine family is the company's all-aluminium V6 engine manufactured since 2005. It is currently manufactured at Hyundai's plant in Asan
Hyundai_Lambda_engine
Topics referred to by the same term
Lambdas may refer to: Lambda Alpha Upsilon, an American Latino-interest fraternity Lambda Phi Epsilon, an American Asian-interest fraternity Lambda Theta
Lambdas
Framework in lambda calculus
In mathematical logic and type theory, the λ-cube (also written lambda cube) is a framework introduced by Henk Barendregt to investigate the different
Lambda_cube
1992 American crewed spaceflight to deploy LAGEOS-2
(MPESS) mounted in the orbiter's cargo bay. USMP-1 experiments were: Lambda Point Experiment; Matériel pour l'Étude des Phénomènes Intéressant la Solidification
STS-52
Invariant spectroscopic point used in chemical kinetics
"extinguishable". An isosbestic point corresponds to an absorbance A λ {\displaystyle A_{\lambda }} at a fixed wavelength λ {\displaystyle \lambda } that remains fixed
Isosbestic_point
Liquid film of superfluid helium
the property in action Video: Liquid Helium, Superfluid: demonstrating Lambda point transition/viscosity paradox/two fluid model/fountain effect/Rollin film/second
Rollin_film
Large cardinal property in set theory
includes V λ {\displaystyle V_{\lambda }} where λ {\displaystyle \lambda } is the first fixed point above the critical point. Axiom I1: There is a nontrivial
Rank-into-rank
Logical formalism using combinators instead of variables
transformed into I. There are one-point bases from which every combinator can be composed extensionally equal to any lambda term. A simple example of such
Combinatory_logic
Cooling device
section is poor compared to standard fixed section wax mounted histology. Lambda point refrigerator Frank Pobell: Matter and Methods at Low Temperatures. 3rd
Cryostat
Method to solve constrained optimization problems
( x ) + ⟨ λ , g ( x ) ⟩ {\displaystyle {\mathcal {L}}(x,\lambda )\equiv f(x)+\langle \lambda ,g(x)\rangle } for functions f , g {\displaystyle f,g} ;
Lagrange_multiplier
Concept in mathematical optimization
_{m}\\\end{bmatrix}},\quad \mathbf {\lambda } ={\begin{bmatrix}\lambda _{1}\\\vdots \\\lambda _{j}\\\vdots \\\lambda _{\ell }\end{bmatrix}}\quad {\text{and}}\quad
Karush–Kuhn–Tucker_conditions
German theoretical physicist (1941–2025)
second-order phase transitions. The result was later confirmed for the lambda point of helium in experiments conducted at zero gravity. Together with İsmail
Hagen_Kleinert
Condition for a mathematical function to map some value to itself
theme in lambda calculus is to find fixed points of given lambda expressions. Every lambda expression has a fixed point, and a fixed-point combinator
Fixed-point_theorem
Four-bar straight-line mechanism
In kinematics, the Chebyshev Lambda Linkage is a four-bar linkage that converts rotational motion to approximate straight-line motion with approximate
Chebyshev_lambda_linkage
Topics referred to by the same term
The lambda distribution is either of two probability distributions used in statistics: Tukey's lambda distribution is a shape-conformable distribution
Lambda_distribution
Continuous probability distribution
0 , {\displaystyle f(x;\lambda ,k)={\begin{cases}{\frac {k}{\lambda }}\left({\frac {x}{\lambda }}\right)^{k-1}e^{-(x/\lambda )^{k}},&x\geq 0,\\0,&x<0
Weibull_distribution
Set of eigenvalues of a matrix
{\displaystyle \lambda } is said to be in the spectrum of a bounded linear operator T {\displaystyle T} if T − λ I {\displaystyle T-\lambda I} either has
Spectrum (functional analysis)
Spectrum_(functional_analysis)
Singularities in the parameter space
approach the quantum phase transition point. lim λ → λ Q C P R e χ F = ∞ {\displaystyle \lim _{\lambda \to \lambda _{\mathrm {QCP} }}\mathbb {Re} \chi _{F}=\infty
Exceptional_point
State of matter
fluid, now known as a superfluid, at temperatures less than 2.17 K (the lambda point). Superfluid helium has many unusual properties, including zero viscosity
Bose–Einstein_condensate
Model in nuclear reactor dynamics
{\displaystyle {\frac {dn}{dt}}={\frac {\rho (t)-\beta }{\Lambda }}n(t)+\sum _{i=1}^{6}\lambda _{i}C_{i}(t),} d C i d t = β i Λ n ( t ) − λ i C i ( t )
Point_kinetics_equations
Method in numerical analysis
{u} _{0},\lambda _{0})} is a regular point. A singular point of F {\displaystyle F} is a point ( u , λ ) {\displaystyle (\mathbf {u} ,\lambda )} at which
Numerical_continuation
Critical point where a periodic solution arises
\lambda } ) of the Jacobian at the fixed point ( x , y ) = ( 0 , 0 ) {\displaystyle (x,y)=(0,0)} is P ( λ ) = λ 2 − μ λ + 1. {\displaystyle P(\lambda )=\lambda
Hopf_bifurcation
2 {\displaystyle z=5/2} for the isotropic Heisenberg magnet. At the lambda point of superfluid helium-4, the coupling of the order parameter to entropy
Mode-coupling_theory
American physicist (1917–1989)
gravity-free conditions, such as the specific heat of liquid helium near the lambda point, directed by John Lipa, and "gravity Probe B", an experiment, led by
William_M._Fairbank
2003). "Specific heat of liquid helium in zero gravity very near the lambda point". Physical Review B. 68 (17) 174518. arXiv:cond-mat/0310163. Bibcode:2003PhRvB
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Simple Turing complete logic
{\begin{aligned}\\Z&=\lambda f.(\lambda x.f(\lambda v.xxv))(\lambda x.f(\lambda v.xxv))\\&=\lambda f.U(\lambda x.f(\lambda v.Uxv))\\&=S(\lambda f.U)(\lambda f.\lambda x.f(\lambda
SKI_combinator_calculus
Form of a matrix indicating its eigenvalues and their algebraic multiplicities
{red}\ulcorner }\lambda _{1}&1&{\color {red}\urcorner }\\&\lambda _{1}&1\,\,\,\,\,\\{\color {red}\llcorner }&&\lambda _{1}{\color {red}\lrcorner
Jordan_normal_form
Extension of Laplace's method for approximating integrals
_{0}(S(x)-M)}e^{(\lambda -\lambda _{0})(S(x)-M)}\right|dx\\&\leqslant \int _{C}|f(x)|e^{\lambda M}\left|e^{\lambda _{0}(S(x)-M)}\right|dx&&\left|e^{(\lambda -\lambda
Method_of_steepest_descent
Azimuthal equidistant map projection
-\sin \varphi _{0}\cos \varphi \cos \left(\lambda -\lambda _{0}\right)}}\end{aligned}}} When the center point is the north pole, φ0 equals π / 2 {\displaystyle
Azimuthal equidistant projection
Azimuthal_equidistant_projection
Representation of data of various types in lambda calculus
\\&=(\lambda p.\lambda a.\lambda b.p\ b\ a)\ (\lambda a.\lambda b.a)\\&=\lambda a.\lambda b.(\lambda a.\lambda b.a)\ b\ a\\&=\lambda a.\lambda b.(\lambda c
Church_encoding
Physical process of transition between basic states of matter
(2003). "Specific heat of liquid helium in zero gravity very near the lambda point". Physical Review B. 68 (17) 174518. arXiv:cond-mat/0310163. Bibcode:2003PhRvB
Phase_transition
Point which the sun is directly overhead
{\displaystyle \lambda _{s}=-15(T_{\mathrm {GMT} }-12+E_{\mathrm {min} }/60).} where ϕ s {\displaystyle \phi _{s}} is the latitude of the subsolar point in degrees
Subsolar_point
Arc crossing all meridians of longitude at the same angle
{\hat {\lambda }}}(\lambda ,\varphi )&=\sec {\varphi }{\frac {\partial \mathbf {r} }{\partial \lambda }}=(-\sin {\lambda })\mathbf {i} +(\cos {\lambda })\mathbf
Rhumb_line
Mapping theorem in topology
theorem states that if Λ f ≠ 0 {\displaystyle \Lambda _{f}\neq 0\,} , then f {\displaystyle f} has a fixed point. In other words, there exists x ∈ X {\displaystyle
Lefschetz_fixed-point_theorem
Lowest possible energy of a quantum system or field
{\displaystyle \sum _{\mathbf {k} \lambda }{\tfrac {1}{2}}\hbar \omega _{k}} This state describes the zero-point energy of the vacuum. It appears that
Zero-point_energy
Far-field diffraction
L {\displaystyle {\frac {b^{2}}{\lambda }}\ll L} where L is the distance between the diffracting plane and the point wave source is satisfied, Fraunhofer
Fraunhofer_diffraction
Ratio of distance on a map to the corresponding distance on the ground
{\displaystyle (a\cos \varphi )\delta \lambda } with λ {\displaystyle \lambda } in radian measure. In deriving a point property of the projection at P it
Scale_(map)
Flight or sailing route along the shortest path between two points on a globe's surface
\lambda _{12}}{\cos \phi _{1}\sin \phi _{2}-\sin \phi _{1}\cos \phi _{2}\cos \lambda _{12}}},\\\tan \alpha _{2}&={\frac {\cos \phi _{1}\sin \lambda _{12}}{-\cos
Great-circle_navigation
Supplementary information on noble gases
(FL):CRC Press. <3 × 106 Hz at 140 °C 106 Hz at 0°C 1015 Hz at 20°C Lambda point for pure 4He from Yunus A. Cengel, Robert H. Turner. Fundamentals of
Noble_gas_(data_page)
Academic conference
"for his very precise measurement of the specific heat of 4He at the lambda point, of the nuclear susceptibility of liquid 3He, the discovery of the phase
International Conference on Low Temperature Physics
International_Conference_on_Low_Temperature_Physics
Coordinate system used in projective geometry
z ) . {\displaystyle f(\lambda x,\lambda y,\lambda z)=\lambda ^{k}f(x,y,z).} If a set of coordinates represents the same point as ( x , y , z ) {\displaystyle
Homogeneous_coordinates
Kind of large cardinal number
\lambda } such that for all functions f : λ → λ {\displaystyle f:\lambda \to \lambda } , there exists a cardinal κ < λ {\displaystyle \kappa <\lambda }
Woodin_cardinal
Periodic set of points
{\displaystyle \Lambda } in R n {\displaystyle \mathbb {R} ^{n}} thus has the form Λ = { ∑ i = 1 n a i v i | a i ∈ Z } , {\displaystyle \Lambda ={\biggl \{}\sum
Lattice_(group)
Region of space between a transmitting and receiving antenna
{\overline {AP}}+{\overline {PB}}-D=n{\frac {\lambda }{2}}} Re-writing the expression with the coordinates of point P {\displaystyle P} and the distance between
Fresnel_zone
Family of continuous probability distributions
{\displaystyle k,} the "shape", and a positive real number λ , {\displaystyle \lambda ,} the "rate". The "scale", β , {\displaystyle \beta ,} the reciprocal of
Erlang_distribution
Method of interpolating functions on a 2D grid
Suppose that we want to find the value of the unknown function f at the point (x, y). It is assumed that we know the value of f at the four points Q11
Bilinear_interpolation
Distribution of singular values of large rectangular random matrices
{1}{n}}XX^{T}} and let λ 1 , λ 2 , … , λ m {\displaystyle \lambda _{1},\,\lambda _{2},\,\dots ,\,\lambda _{m}} be the eigenvalues of Y n {\displaystyle Y_{n}}
Marchenko–Pastur_distribution
Map projection system
a point of latitude φ {\displaystyle \,\varphi } and of longitude λ {\displaystyle \,\lambda } and computing its UTM coordinates as well as point scale
Universal Transverse Mercator coordinate system
Universal_Transverse_Mercator_coordinate_system
Cylindrical conformal map projection
{\displaystyle \lambda } by d λ {\displaystyle d\lambda } moves the point R cos φ d λ {\displaystyle R\cos \varphi \,d\lambda } along a parallel
Mercator_projection
Occurrence in collective excitations
pairs. Similar to helium-4 superfluidity at the λ {\displaystyle \lambda } -point (2.17K); a condensate was proposed by Böer et al. in 1961. Experimental
Bose–Einstein condensation of quasiparticles
Bose–Einstein_condensation_of_quasiparticles
Point found separated from another, given a point pair
(\xi ,\eta )={\bigg (}{\frac {\lambda x+x_{0}}{\lambda +1}},{\frac {\lambda y+y_{0}}{\lambda +1}}{\bigg )}.} Since the point A {\displaystyle A} lies on
Projective_harmonic_conjugate
Shortest distance between two points on the surface of a sphere
points 1 and 2, and Δ λ = | λ 2 − λ 1 | {\displaystyle \Delta \lambda =|\lambda _{2}-\lambda _{1}|} and Δ ϕ = | ϕ 2 − ϕ 1 | {\displaystyle \Delta \phi =|\phi
Great-circle_distance
Concept in computer science
which uses the fixed-point combinator to implement recursion. Dana Scott's LCF language was a stage in the evolution of lambda calculus into modern functional
Let_expression
Parameter describing physics near critical points
(2003). "Specific heat of liquid helium in zero gravity very near the lambda point". Physical Review B. 68 (17) 174518. arXiv:cond-mat/0310163. Bibcode:2003PhRvB
Critical_exponent
Globalization meta-process
Lambda lifting is a meta-process that restructures a computer program so that functions are defined independently of each other in a global scope. An individual
Lambda_lifting
Theorem In probability theory and statistics
d\Lambda ,} If the intensity measure Λ {\displaystyle \Lambda } of a point process N {\displaystyle N} has a density λ ( x ) {\displaystyle \lambda (x)}
Campbell's theorem (probability)
Campbell's_theorem_(probability)
Angle between the zenith and the centre of the Sun's disc
_{s},\lambda _{s})} and ( ϕ o , λ o ) {\displaystyle (\phi _{o},\lambda _{o})} be the latitudes and longitudes, or coordinates, of the subsolar point and
Solar_zenith_angle
Index of articles associated with the same name
The Bayer designation Lambda Sculptoris (λ Scl, λ Sculptoris) is shared by two star systems, λ1 Sculptoris and λ2 Sculptoris, in the constellation Sculptor
Lambda_Sculptoris
Topics referred to by the same term
LLL La Leche League, an organization that promotes breastfeeding Lambda Lambda Lambda, a co-ed fraternity Loyal Lusitanian Legion, a foreign volunteer
LLL
Fluids: Density and Viscosity of Normal Fluid in PureHe4from 1.2K to the Lambda Point". Physical Review. 105 (1): 7–24. Bibcode:1957PhRv..105....7D. doi:10
Jay_Gregory_Dash
λ ) T ( y ) {\displaystyle T(\lambda x+(1-\lambda )y)=\lambda T(x)+(1-\lambda )T(y)} for all λ {\displaystyle \lambda } in ( 0 , 1 ) {\displaystyle (0
Markov–Kakutani fixed-point theorem
Markov–Kakutani_fixed-point_theorem
Mathematical term
{\displaystyle L(u,\lambda )=I(u)-\left(\lambda ,\nabla \cdot u\right)=\int _{\Omega }\left({\frac {1}{2}}\mu |\nabla u|^{2}-f\cdot u-\lambda (\nabla \cdot
Ladyzhenskaya–Babuška–Brezzi condition
Ladyzhenskaya–Babuška–Brezzi_condition
Algorithms for solving convex optimization problems
{\begin{pmatrix}H(x,\lambda )&-J(x)^{T}\\\operatorname {diag} (\lambda )J(x)&\operatorname {diag} (c(x))\end{pmatrix}}{\begin{pmatrix}p_{x}\\p_{\lambda
Interior-point_method
Stochastic point process in mathematics
{\displaystyle K:\Lambda ^{2}\to \mathbb {C} } . We say that X {\displaystyle X} is a determinantal point process on Λ {\displaystyle \Lambda } with kernel
Determinantal_point_process
Equation in nuclear reactor kinetics
average decay constant λ {\displaystyle \lambda } and precursor concentration C {\displaystyle C} , the point kinetics equation can be simplified to Equation
Inhour_equation
Characterization of distortion in map projections
{\displaystyle \varphi } and λ {\displaystyle \lambda } are the latitude and longitude coordinates of a point, R {\displaystyle R} is the radius of the globe
Tissot's_indicatrix
Technique used to attain a high quality factor in resonant cavities
helium vessel is often pumped to a pressure below helium's superfluid lambda point to take advantage of the superfluid's thermal properties. Because superfluids
Superconducting radio frequency
Superconducting_radio_frequency
Retroazimuthal map projection
\varphi _{1}\sin(\lambda -\lambda _{0})\\y&=-RK{\big (}\sin \varphi _{1}\cos \varphi -\cos \varphi _{1}\sin \varphi \cos(\lambda -\lambda _{0}){\big )}\end{aligned}}}
Hammer retroazimuthal projection
Hammer_retroazimuthal_projection
Device using sound waves to reduce heat
For some time it looked as if it would be impossible to cool below the lambda point of 4He (2.17 K), but the low-temperature group of the Eindhoven University
Pulse_tube_refrigerator
Massachusetts Institute of Technology Elastic properties of crystals near a lambda point John Ferguson Harris, Jr. DuPont Chemistry of small-ring compounds Frank
List of Guggenheim Fellowships awarded in 1963
List_of_Guggenheim_Fellowships_awarded_in_1963
Subfield of mathematical optimization
{\displaystyle L(x,\lambda _{0},\lambda _{1},\ldots ,\lambda _{m})=\lambda _{0}f(x)+\lambda _{1}g_{1}(x)+\cdots +\lambda _{m}g_{m}(x).} For each point x {\displaystyle
Convex_optimization
Symmetric probability distribution
Q\left(\ p\ ;\lambda \ \right)~=~{\begin{cases}{\tfrac {1}{\ \lambda \ }}\left[\ p^{\lambda }-(1-p)^{\lambda }\ \right]\ ,&\ {\mbox{ if }}\ \lambda \neq 0~
Tukey_lambda_distribution
Extension of the Brouwer fixed-point theorem
{\displaystyle \{x\in X:x=\lambda f(x){\mbox{ for some }}0\leq \lambda \leq 1\}} is bounded. Then f {\displaystyle f} has a fixed point. (A compact mapping in
Schauder_fixed-point_theorem
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LAMBDA POINT
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