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Simple model for non-ideal solutions
In chemistry, a regular solution is a solution whose entropy of mixing is equal to that of an ideal solution with the same composition, but is non-ideal
Regular_solution
Topics referred to by the same term
non-zero Regular moon, a natural satellite that has low eccentricity and a relatively close and prograde orbit Regular solutions in chemistry, solutions that
Regular
theory, the Jost function is the Wronskian of the regular solution and the (irregular) Jost solution to the differential equation − ψ ″ + V ψ = k 2 ψ {\displaystyle
Jost_function
Proposed diplomatic solution for the Israeli–Palestinian conflict
The two-state solution is a proposed approach to resolving the Israeli–Palestinian conflict, by creating two states on the territory of the former Mandatory
Two-state_solution
Solution exhibiting thermodynamic properties analogous to an ideal gas
An ideal solution or ideal mixture is a solution that exhibits thermodynamic properties analogous to those of a mixture of ideal gases. The enthalpy of
Ideal_solution
These characters appear in the American animated television series Regular Show, created by J. G. Quintel for Cartoon Network. The series revolves around
List of Regular Show characters
List_of_Regular_Show_characters
Increase in the total entropy of a compound system after mixing
exactly to random mixing for ideal solutions and for regular solutions, and approximately so for many real solutions. For binary mixtures the entropy of
Entropy_of_mixing
Method in numerical analysis
) {\displaystyle (n)} . Near a regular point the solution component is an isolated curve passing through the regular point (the implicit function theorem)
Numerical_continuation
Solid with twenty equal triangular faces
icosahedral symmetries to derive an analytical solution to the general quintic equation. The regular icosahedron is isogonal, isohedral, and isotoxal:
Regular_icosahedron
Methods of mathematical approximation
problem into "solvable" and "perturbative" parts. In regular perturbation theory, the solution is expressed as a power series in a small parameter ε
Perturbation_theory
Canonical solutions of the general Legendre equation
Legendre polynomials. In general, when ℓ and m are integers, the regular solutions are sometimes called "associated Legendre polynomials", even though
Associated Legendre polynomials
Associated_Legendre_polynomials
Solid with 12 equal pentagonal faces
A regular dodecahedron or pentagonal dodecahedron is a dodecahedron (a polyhedron with 12 faces) composed of regular pentagonal faces, three meeting at
Regular_dodecahedron
Proposed resolution of the Israeli–Palestinian conflict
The one-state solution is a proposed approach to the Israeli–Palestinian peace process that envisions a single state within the boundaries of the former
One-state_solution
L {\displaystyle L} , is the greatest solution of the equation L X = X L {\displaystyle LX=XL} always regular? This problem was studied by Karhumäki
Language_equation
Four-dimensional analogue of the tetrahedron
tetrahedron. This cannot be done in 3-dimensional space. The regular 5-cell is a solution to the problem: Make 10 equilateral triangles, all of the same
5-cell
Solutions to Einstein field equations
Gowdy solutions of Einstein's equations are simple model spacetimes in general relativity which represent an expanding universe filled with a regular pattern
Gowdy_solution
2005 Canadian television film
any of the experimental pesticide, but a curious Q mixes it with the regular solution. As he sprays the nest, the analysis of the hyper-aggressive wasp's
Swarmed
Shape with equal angles and equal sides
The list OEIS: A006245 gives the number of solutions for smaller polygons. The area A of a convex regular n-sided polygon having side s, circumradius
Regular_polygon
Biological preservative used in study of tissues
Bouin solution, or Bouin's solution, is a compound fixative used in histology. It was invented by French biologist Pol Bouin and is composed of picric
Bouin_solution
Four-dimensional analogues of the regular polyhedra in three dimensions
mathematics, a regular 4-polytope or regular polychoron is a regular four-dimensional polytope. They are the four-dimensional analogues of the regular polyhedra
Regular_4-polytope
Physics problem related to laws of motion and gravity
two-body problem, the three-body problem has no general closed-form analytic solution. The differential equations that govern the motions of three gravitating
Three-body_problem
Mathematical problems related to differential equations
The study of the variational problem and the proof of existence of a regular solution, under some conditions on the external field, was done in Kamvissis
Riemann–Hilbert_problem
Concept in differential equation mathematics
points, an important distinction is made between a regular singular point, where the growth of solutions is bounded (in any small sector) by an algebraic
Regular_singular_point
American chemist (1881–1983)
the term "regular solution" (to be contrasted with "ideal solution") and discussed their thermodynamic aspects in 1929. A regular solution is one involving
Joel_Henry_Hildebrand
American-Israeli journalist
advocate of a confederation of two states as a solution to the Israeli-Palestinian conflict. She is a regular columnist at Haaretz newspaper. Scheindlin is
Dahlia_Scheindlin
Change in enthalpy during the mixture of substances
and liquids with similar molecular interactions and properties. A regular solution or mixture has a non-zero enthalpy of mixing with an ideal entropy
Enthalpy_of_mixing
Solid with eight equal triangular faces
sphere. The solution is done by placing the vertices of a regular octahedron inscribed in a sphere. An 8-sided die is usually a regular octahedron. In
Regular_octahedron
2021 song by the Beach Boys
said: "We have a song called 'My Solution' which is a very odd song that has chromatic—strange chords, not regular triad chords. The notes are bunched
My_Solution
Polyhedron with regular congruent polygons as faces
have planar regular polygon faces, but regular skew polygon vertex figures. Two dual solutions are related to the 5-cell, two dual solutions are related
Regular_polyhedron
Mechanism of spontaneous phase separation
Hillert in his 1955 Doctoral Dissertation at MIT. Starting with a regular solution model, he derived a flux equation for one-dimensional diffusion on
Spinodal_decomposition
Scattering of an electromagnetic plane wave by a sphere
electromagnetism, the Mie solution to Maxwell's equations (also known as the Lorenz–Mie solution, the Lorenz–Mie–Debye solution or Mie scattering) describes
Mie_scattering
Shape with three equal sides
sides of equal length and three equal angles. It is a regular polygon, occasionally known as the regular triangle. It is a special case of an isosceles triangle
Equilateral_triangle
Chemical compound
Ammonia readily dissolves in water. In an aqueous solution, it can be expelled by boiling. The aqueous solution of ammonia is basic, and may be described as
Ammonia
On weak solutions of differential equations
classical solution satisfying the PDE in regular sense, so we search for a weak solution at first, and then find out whether the weak solution is smooth
Regularity_theory
Polygon shape with eight sides
ὀκτάγωνον (oktágōnon) 'eight angles') is an eight-sided polygon or 8-gon. A regular octagon has Schläfli symbol {8} and can also be constructed as a quasiregular
Octagon
Mathematical algorithm
enjoys the same local quadratic convergence toward isolated regular solutions. If the solution doesn't exist but the initial iterate 𝐱(0) is near a point
Gauss–Newton_algorithm
Chemical compound
NaOCl (also written as NaClO). It is commonly known in a dilute aqueous solution as bleach or chlorine bleach. It is the sodium salt of hypochlorous acid
Sodium_hypochlorite
paracompact. Five compact regular honeycombs in H4: The two paracompact regular H4 honeycombs are: {3,4,3,4}, {4,3,4,3}. Noncompact solutions exist as Lorentzian
List_of_regular_polytopes
Concept in graph theory
and John Horton Conway offered a $1000 prize for the solution to this problem. The strongly regular graphs with λ = 0 are triangle free. Apart from the
Strongly_regular_graph
Process of incorporating the solubilizate into or onto micelles
distinct from a true solution, and the amount of the solubilizate in the micellar system can be different (often higher) than the regular solubility of the
Micellar_solubilization
blend to be miscible. According to Flory-Huggins theory, a revision of regular solution theory, the entropy change per mole of lattice sites of blending polymer
Reactive_compatibilization
Short-acting insulin formulation
Regular insulin, also known as neutral insulin and soluble insulin, is a type of short-acting medical insulin. It is used to treat type 1 diabetes, type
Regular_insulin
Method of drawing geometric objects
construction for the general solution of the ancient Alhazen's problem (billiard problem or reflection from a spherical mirror). Some regular polygons (e.g. a pentagon)
Straightedge and compass construction
Straightedge_and_compass_construction
Australian asylum policy from 2001
The Pacific Solution is the name given to the government of Australia's policy of transporting asylum seekers to detention centres on island nations in
Pacific_Solution
Compact astronomical body
In 1916, the first solution of general relativity that would characterise a black hole was found. By the late 1950s, this solution began to be interpreted
Black_hole
Indian physicist (1915–1997)
shown by Hartle and Hawking that these solutions can be "glued" together to construct multi-black-hole solutions of charged black holes. These charged
Sudhansu_Datta_Majumdar
Tunisian mathematician
Volume 21, 2000, pp. 131-146 with Jean-Yves Chemin: About lifespan of regular solutions of equations related to viscoelastic fluids, SIAM journal on mathematical
Nader_Masmoudi
Shape with ten sides
{\displaystyle a\,} has one positive solution: a = R 2 ( − 1 + 5 ) {\displaystyle \;a={\frac {R}{2}}(-1+{\sqrt {5}})} So the regular decagon can be constructed
Decagon
Type of prime number
{\displaystyle p} that are Euler-regular. Gut proved that x 2 p + y 2 p = z 2 p {\displaystyle x^{2p}+y^{2p}=z^{2p}} has no solution if p {\displaystyle p} has
Regular_prime
Isogonal polyhedron with regular faces
polyhedra may be regular (if also face- and edge-transitive), quasi-regular (if also edge-transitive but not face-transitive), or semi-regular (if neither
Uniform_polyhedron
Singularities of holomorphic functions extend infinitely outward
Zbl 0685.32001. Kaneko, Akira (January 12, 1973), "On continuation of regular solutions of partial differential equations with constant coefficients", Proceedings
Hartogs's_extension_theorem
Polynomial equation of degree two
there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real solutions, or a real double
Quadratic_equation
National Basketball Association team in San Francisco, California
upsets in NBA history. The team struggled in the 1980s, then became playoff regulars at the turn of the decade with stars Tim Hardaway, Mitch Richmond, and
Golden_State_Warriors
regular expressions), in which the quasi-inverse is lifted to the role of a unary operation (denoted by a*) defined as the least fixedpoint solution.
Quasiregular_element
Brazilian personal computer
Solution 16 was the first Brazilian all-in-one PC, introduced by Prológica in 1986. Based on the Intel 8088 was launched in the national market as the
Solution_16
Indian metallurgical engineer
Lele (2003). "Existence domains for invariant reactions in binary regular solution phase diagrams exhibiting two phases". Bulletin of Materials Science
Shrikant_Lele
Method for solving ordinary differential equations
regular power series methods if either p(z)/z or q(z)/z2 is not analytic at z = 0. The Frobenius method enables one to create a power series solution
Frobenius_method
Indian eyewear retail company
Lenskart Solutions Limited is an Indian multinational eyewear company, based in Gurgaon. As a vertically integrated company, it designs, manufactures
Lenskart
Quantum mechanics concept for systems with central potentials, such as atoms
}}+\left[\rho ^{2}-\left(\ell +{\frac {1}{2}}\right)^{2}\right]J=0} where regular solutions for positive energies are given by so-called Bessel functions of the
Particle in a spherically symmetric potential
Particle_in_a_spherically_symmetric_potential
Second-order partial differential equation
exponentials e±imφ. The solution function Y(θ, φ) is regular at the poles of the sphere, where θ = 0, π. Imposing this regularity in the solution Θ of the second
Laplace's_equation
Circle associated with a quadratic equation
it is named after Thomas Carlyle. The circle has the property that the solutions of the quadratic equation are the horizontal coordinates of the intersections
Carlyle_circle
Difference in properties of one mole of substance in a mixture vs. an ideal solution
In thermodynamics, an apparent molar property of a solution component in a mixture or solution is a quantity defined with the purpose of isolating the
Apparent_molar_property
Special forces unit of the British Army
The corps consists of the 22 Special Air Service Regiment, which is the regular component, as well as the 21 Special Air Service Regiment (Artists) (Reserve)
Special_Air_Service
American geochemist
Gibbs free energy of mixing of natural silicate liquids; an expanded regular solution approximation for the calculation of magmatic intensive variables"
Mark_S._Ghiorso
Prime Minister of Israel from 2021 to 2022
Trump as President of the United States gave him hope that the two-state solution would no longer be considered viable, claiming: "The era of the Palestinian
Naftali_Bennett
Solution to the Einstein field equations
the Schwarzschild metric (also known as the Schwarzschild solution) is an exact solution to the Einstein field equations that describes the gravitational
Schwarzschild_metric
American actress
Betsy Sodaro is an American actress. She is a regular performer at the Upright Citizens Brigade Theater in Los Angeles. She is best known for her appearances
Betsy_Sodaro
Natural number
the only number D for which the equation 2n − D = x2 has more than two solutions for n and x natural. In particular, the equation 2n − 7 = x2 is known
7
Special n-gon that has the largest area among all diameter-one n-gons
{\displaystyle n} -gons. One non-unique solution when n = 4 {\displaystyle n=4} is a square, and the solution is a regular polygon when n {\displaystyle n} is
Biggest_little_polygon
American public servant and naturalist (1966–2023)
Corporation (a tribal-owned business) and its wholly owned subsidiaries, Bethel Solutions LLC and Bethel Services, Inc. In 2013, Peltola testified to the U.S. Senate
Buzzy_Peltola
Golf tournament
a regular season event, in 2025 it became a Korn Ferry Tour Finals event. MacLeod, Ken (June 12, 2024). "KFT announces move of Compliance Solutions Championship
Compliance Solutions Championship
Compliance_Solutions_Championship
Professional American football league
annually with a three-week preseason in August, followed by an 18-week regular season, which runs from early September to early January, with each team
National_Football_League
Soviet and Russian mathematician
reasons, he constructed a generalized solution of a Monge-Ampère equation and then proved its regularity for a regular right-hand side of the equation. In
Aleksei_Pogorelov
South Korean multinational corporation
unauthorised external access had occurred through a third-party document-preview solution connected to its electronic approval system, with further unauthorised
Hybe
Professional league in North America
National Basketball Association (NBA); league play began in 1997. The regular season runs from May to September, with each team playing 44 games. The
Women's National Basketball Association
Women's_National_Basketball_Association
Christian philosopher and theologian (354–430)
On the Trinity (VIII.6.9), and developed what has come to be a standard solution: the argument from analogy to other minds. In contrast to Plato and other
Augustine_of_Hippo
Solution of Einstein field equations
The Gödel metric, also known as the Gödel solution or Gödel universe, is an exact solution, found in 1949 by Kurt Gödel, of the Einstein field equations
Gödel_metric
Technique to solve partial differential equations
aerospace, and rarefied gas dynamics applications. Regular PINNs are only able to obtain the solution of a forward or inverse problem on a single geometry
Physics-informed neural networks
Physics-informed_neural_networks
Polynomial equation of degree 3
= 0 {\displaystyle ax^{3}+bx^{2}+cx+d=0} in which a is not zero. The solutions of this equation are called roots of the cubic function defined by the
Cubic_equation
Hypothetical topological feature of spacetime
different points in time, or both). Wormholes are based on a special solution of the Einstein field equations, and are consistent with the general theory
Wormhole
Factor by which individual Grand Lodges judge whether to recognise one another
individual Grand Lodge determines which other Grand Lodges it considers Regular. The standards for determining this are not uniform between Grand Lodges
Regular_Masonic_jurisdiction
Land warfare force of the United Kingdom
composed primarily of cavalry and infantry, the British Army was one of two Regular Forces (there were also separate Reserve Forces) within the British military
British_Army
British doctor and television presenter
2017 How to Make Disease Disappear published on 11 May 2018 The Stress Solution published on 27 December 2018 Feel Better in 5 published on 18 December
Rangan_Chatterjee
Properties and behavior of hydrated cations in aqueous solution
A metal ion in aqueous solution or aqua ion is a cation, dissolved in water, of chemical formula [M(H2O)n]z+. The solvation number, n, determined by a
Metal ions in aqueous solution
Metal_ions_in_aqueous_solution
Ongoing military and political conflict in West Asia
two-state solution along the 1967 borders and a just resolution for Palestinian refugees. In recent years, public support for a two-state solution has decreased
Israeli–Palestinian_conflict
Array of bubbles
bubble radius ρ s o l u t i o n {\displaystyle \rho _{solution}} is the density of the solution from which the bubbles are formed g {\displaystyle g}
Bubble_raft
Arrangement of points on a sphere
electrostatic configurations of many-N electron solutions. For N = 4, electrons reside at the vertices of a regular tetrahedron. For N = 5, electrons reside
Thomson_problem
Mathematical technique
subharmonic functions, is a technique introduced by Oskar Perron for the solution of the Dirichlet problem for Laplace's equation. The Perron method works
Perron_method
Branch of ordinary differential equations
such systems. Its essential insight is similar to the swing example: the solution can be decomposed into two parts—a periodic component (reflecting the repeated
Floquet_theory
American actress
Horror-Thriller 'Werewolves' Set For December U.S. Release Via Briarcliff & The Solution". Deadline. Retrieved 2024-07-05. "12 Gifts of Christmas, Hallmark Channel"
Katrina_Law
German state from 1933 to 1945
death and the rest would be murdered in the implementation of the Final Solution to the Jewish Question. Initially the victims were murdered by Einsatzgruppen
Nazi_Germany
English comedian (born 1960)
has written regular columns in The Guardian, The Independent and Daily Mirror. He presents The Mark Steel Lectures, The Mark Steel Solution, Mark Steel's
Mark_Steel
3D combination puzzle
on in the solution when most of the puzzle has not yet been solved and the side effects are not important. Towards the end of the solution, the more specific
Rubik's_Cube
Fluid injection into the large intestine
infusion. For the enema to be effective, the patient should retain the solution for five to ten minutes, as tolerated. or, as some nursing textbooks recommend
Enema
NFL team in Green Bay, Wisconsin
of the structure in principle, he agreed with Wolf that it was the best solution. In 2001, Sherman assumed the duties of both general manager and head coach
Green_Bay_Packers
When are solutions in the calculus of variations analytic
in a list compiled by David Hilbert in 1900. It asks whether the solutions of regular problems in the calculus of variations are always analytic. Informally
Hilbert's_nineteenth_problem
American mathematician
compressible rods, Phys. Lett. A 270 (2000), 140-148, with A. Constantin. Regular solutions of the Vlasov-Poisson-Fokker-Planck system, Discrete & Cont. Dyn.
Walter_Alexander_Strauss
Non-profit agency
accomplish. As such, a secondary goal of Ride Solution is to address rural transportation issues. Regular bus service - City bus routes are offered in
The_Ride_Solution
Model describing the departures from ideality in solutions of electrolytes and plasmas
of non-ideality of electrolyte solutions. In the chemistry of electrolyte solutions, an ideal solution is a solution whose colligative properties are
Debye–Hückel_theory
Solid with six equal square faces
century later, Dutch mathematician Pieter Nieuwland provided a better solution that the edges of a cube passing through the unit cube's hole could be
Cube
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