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Quantum field theory with four-point interactions
field theory, a quartic interaction or φ4 theory is a type of self-interaction in a scalar field. Other types of quartic interactions may be found under
Quartic_interaction
Theoretical framework in physics
field in nature would contain interaction terms in addition to the free theory terms. For example, a quartic interaction term could be introduced to the
Quantum_field_theory
Coupling constant divergence at high energies
quantum electrodynamics (QED) or φ4 theory—a scalar field with a quartic interaction—such as ones that may describe the Higgs boson. In these theories
Landau_pole
Application of Lagrangian mechanics to field theories
coupling constants and they dictate the strength of the interaction. For example, a quartic interaction in a real scalar field theory is given by L i = − g
Lagrangian_(field_theory)
Extension of quantum field theory to curved spacetime
semiclassical approach to quantum gravity. This approach studies the interaction of quantum fields in a fixed classical spacetime and among other things
Quantum field theory in curved spacetime
Quantum_field_theory_in_curved_spacetime
Scalar–fermion interaction
constant. This potential is explored in detail in the article on the quartic interaction. The free-field Dirac Lagrangian is given by L D i r a c ( ψ ) =
Yukawa_coupling
Toy model in quantum field theory
takes N = 1 {\displaystyle \ N=1\ } (which permits only one quartic interaction) and makes no attempt to analytically continue the dimension, the
Gross–Neveu_model
Mechanism of beta decay proposed in 1933
In particle physics, Fermi's interaction (also the Fermi theory of beta decay or the Fermi four-fermion interaction) is an explanation of the beta decay
Fermi's_interaction
Boson with spin equal to zero
bosons, e.g. the alpha particle and scalar mesons. The φ4-theory or quartic interaction is a popular "toy model" quantum field theory that uses scalar bosonic
Scalar_boson
also other particles might emerge and disappear as a result of their interaction with other particles. It was evident from the beginning that a proper
History of quantum field theory
History_of_quantum_field_theory
Awarded every year by the American Mathematical Society
ISBN 978-3-540-90353-6. ISSN 1431-0821. Nelson, Edward (1966). "A quartic interaction in two dimensions". In Goodman, Roe; Segal, Irving (eds.). Mathematical
Leroy_P._Steele_Prize
Field theory of scalar fields
expansion can be represented graphically through Feynman diagrams of the Quartic interaction. The integral with g = 0 can be treated as a product of infinitely
Scalar_field_theory
Nonlinear form of the Schrödinger equation
equation. AKNS system Eckhaus equation Gross–Pitaevskii equation Quartic interaction for a related model in quantum field theory Soliton (optics) Logarithmic
Nonlinear Schrödinger equation
Nonlinear_Schrödinger_equation
Potential arising from loop effects
Superconductivity. Dover Books on Physics (2nd ed.). Dover. ISBN 0-486-43503-2. Quartic interaction H. Kleinert (1982). "Disorder Version of the Abelian Higgs Model
Coleman–Weinberg_potential
Divergence in perturbative quantum field theory
a proof was suggested for absence of renormalon singularities in quartic interaction ϕ 4 {\displaystyle \phi ^{4}} theory and a general criterion for
Renormalon
Perturbative analysis of quantum field theories
recast quantum chromodynamics as a string theory. Starting with a quartic interaction φ4, the scalar field φ takes on values in the real vector representation
1/N_expansion
Theory of forces and subatomic particles
>0} , so that the potential is bounded from below. The quartic term describes self-interactions of the scalar field φ {\displaystyle \varphi } . The minimum
Standard_Model
Aspect of field theory
gauge group algebra. These additional terms gives rise to cubic and quartic interaction terms for the gauge bosons. Spin-3/2 fields, corresponding to gravitinos
Kinetic_term
Quartic potential in quantum mechanics
type of possible quartic potential is that of asymmetric shape of one of the first two named above. The double-well and other quartic potentials can be
Double-well_potential
Journal of the RAS Quarterly Journal of the Royal Astronomical Society Quartic interaction Quartz crystal microbalance Quasar Quasi-invariant measure Quasi-periodic
Index_of_physics_articles_(Q)
Clifford algebra in 4 dimensions
quantities for construction of Lagrangians such as the Dirac Lagrangian. The quartic subspace contains a single basis element, γ 0 γ 1 γ 2 γ 3 = 1 4 ! ϵ μ ν
Dirac_algebra
Elementary particle, fundamental constituent of matter
four fundamental interactions, also known as fundamental forces (electromagnetism, gravitation, strong interaction, and weak interaction), as well as the
Quark
1552 novel by François Rabelais
Le Quart Livre (The Fourth Book in English) is a novel by François Rabelais and published in its final version in 1552. The author was confronted with
Le_Quart_Livre
Pictorial representation of the behavior of subatomic particles
contributions are always Gaussian. The simplest interaction is the quartic self-interaction, with an action: S = ∫ ∂ μ ϕ ∂ μ ϕ + λ 4 ! ϕ 4 . {\displaystyle
Feynman_diagram
Field theory linked to string theory
early constructions were limited to cubic interactions, the formulation was extended to include quartic interactions on toroidal backgrounds in 2023 by Bonezzi
Double_field_theory
Elementary particle involved with rest mass
the Higgs potential in the Standard Model includes both trilinear and quartic self-couplings, which are key to understanding the complete shape of the
Higgs_boson
Interaction of multiple waves in a nonlinear system
systems a resonant interaction is the interaction of three or more waves, usually but not always of small amplitude. Resonant interactions occur when a simple
Resonant_interaction
Form of self-aware sexism
also known as everyday sexism, or ironic sexism, is defined by Alissa Quart in New York magazine's fashion blog The Cut as "the objectification of women
Hipster_sexism
Branch of chemistry
supramolecular chemistry examines the weaker and reversible non-covalent interactions between molecules. These forces include hydrogen bonding, metal coordination
Supramolecular_chemistry
Physics theory about the origin of mass
as the quartic. The Standard Model uses this mechanism as part of the Glashow–Weinberg–Salam model to unify electromagnetic and weak interactions. This
Mass_generation
Quantum field theory
coupling have the same dimensions of the field and the coupling of a massless quartic scalar field theory. So, these theories share the scale invariance at the
Yang–Mills_theory
Theory of strings with supersymmetry
dimensions possibly involving membranes. Because the action for this involves quartic terms and higher so is not Gaussian, the functional integrals are very
Superstring_theory
Solvable 1+1 dimensional quantum field theory
local (self-)interaction. Indeed, since there are only 4 independent fields, because of the Pauli principle, all the quartic, local interactions are equivalent;
Thirring_model
Curve used in computer graphics and related fields
Intelligent Eye-Gaze Tracking System". International Journal of Human-Computer Interaction. 31 (4): 277–294. doi:10.1080/10447318.2014.1001301. ISSN 1044-7318.
Bézier_curve
Simplest supersymmetric extension to the Standard Model
Model. The mass of the lightest Higgs boson is set by the Higgs quartic coupling. Quartic couplings are not soft supersymmetry-breaking parameters since
Minimal Supersymmetric Standard Model
Minimal_Supersymmetric_Standard_Model
Formulation of quantum mechanics
quantum eraser Stern–Gerlach Rutherford Formulations Overview Heisenberg Interaction Matrix Phase-space Schrödinger Sum-over-histories (path integral) Equations
Phase-space_formulation
Hadron (subatomic particle) that is composed of three quarks
explain the similarities between protons and neutrons under the strong interaction. Although they had different electric charges, their masses were so similar
Baryon
Class of fermionic quasiparticles
been proposed as the first theoretical realization of the higher-order quartic semi-Dirac fermions in two-dimensions . There are also type-II semi-Dirac
Semi-Dirac_fermion
Theory of quantum gauge fields on a lattice
i.e., a scalar field theory whose Lagrangian includes an interaction term that is quartic in the field φ. It is conjectured, based on evidence including
Lattice_gauge_theory
withstand 3×1015 neq/cm2 per 100 fb−1. Earlier designs for ToF called QUARTIC ("QUARtz TIming Cherenkov") were based on straight quartz bars. Originally
ATLAS_Forward_Proton_Project
Non-local formulation of continuum mechanics
Originally, bond-based peridynamic was introduced, wherein, internal interaction forces between a material point and all the other ones with which it
Peridynamics
Type of topological solutions in non-linear sigma models
and interesting. Thus, for example, constant g {\displaystyle g} in the quartic term is interpreted as the vector-pion coupling ρ–π–π between the rho meson
Skyrmion
Type of experimental design
quadratic model. Adding axial points allows estimating univariate cubic and quartic effects. By equivocating certain columns with parameters to be estimated
Plackett–Burman_design
Lipid-lowering medication
patients already taking lower doses of the drug." Simvastatin has important interactions with grapefruit juice and other drugs, including some that are commonly
Simvastatin
Now-discarded theory in particle physics
while the new scalar only interacts with the standard model through a quartic coupling φ 2 H u H d {\displaystyle \varphi ^{2}H_{u}H_{d}} . Since the
Peccei–Quinn_theory
an inverse cubic, asymptotic power law in contrast to the usual inverse quartic. The electronic properties of graphene are significantly influenced by
Electronic properties of graphene
Electronic_properties_of_graphene
Branch of mathematics
}}}{2a}}.} Solutions for the degrees 3 and 4 are given by the cubic and quartic formulas. There are no general solutions for higher degrees, as proven
Algebra
Energy difference between ground state and lightest excited state(s)
to gauge freedom. Quantization preserves this gauge freedom property. A quartic massless scalar field theory develops a mass gap already at classical level[clarification
Mass_gap
Particle physics process
Higgs potential in the Standard Model (SM) includes both trilinear and quartic self-couplings, which are key to understanding the nature of the Higgs
Higgs_pair_production
Experiment to determine the validity of psychiatric diagnosis
in their presence as though they were not there, and avoiding direct interaction with patients except as strictly necessary to perform official duties
Rosenhan_experiment
1985 film by Susan Seidelman
Set in New York City, the mistaken identity-type plot involves the interaction between two women – a bored housewife and a bohemian drifter – linked
Desperately_Seeking_Susan
Swiss mathematician (1707–1783)
introducing the gamma function and introduced a new method for solving quartic equations. He found a way to calculate integrals with complex limits, foreshadowing
Leonhard_Euler
Oceanic division
warmest ocean, with a significant impact on global climate due to its interaction with the atmosphere. Its waters are affected by the Indian Ocean Walker
Indian_Ocean
Supergravity in eleven dimensions
second line corresponds to cubic graviton-gauge field terms along with some quartic gravitino terms. The last line in the Lagrangian is a Chern–Simons term
Eleven-dimensional supergravity
Eleven-dimensional_supergravity
Particle physics theory
supersymmetry. There are five couplings in Split Supersymmetry: the Higgs quartic coupling and four Yukawa couplings between the Higgsinos, Higgs and gauginos
Split_supersymmetry
Mathematical approach to quantum physics
for WKB approximation. Consider the quantum harmonic oscillator with the quartic potential perturbation and the Hamiltonian H = − ℏ 2 2 m ∂ 2 ∂ x 2 + m
Perturbation theory (quantum mechanics)
Perturbation_theory_(quantum_mechanics)
Experimental designs for response surface methodology
composite designs, but, in this case, to estimate univariate cubic and quartic effects, with length α = min(2, (int(1.5 + K/4))1/2), for K factors, roughly
Box–Behnken_design
2015 film by Julian Rosefeldt
examination and critique of political and art history and their various interactions over the 20th century", and considered its feature film form to be a
Manifesto_(2015_film)
practices in business and academic fields, where new concepts are found in interactions of old ideas. brioche a sweet yeast bun, kind of a crossover between
Glossary of French words and expressions in English
Glossary_of_French_words_and_expressions_in_English
Number specifying how a quantum operator changes under dilations
free field theories interaction terms with small dimensionless couplings. For example, in four spacetime dimensions one can add quartic scalar couplings
Scaling_dimension
Theory of fundamental physics
a wave equation based on the logarithmic potential rather than on the quartic one. The former potential has not only the Mexican-hat shape, necessary
Superfluid_vacuum_theory
Long-term inflammatory disease of the airways of the lungs
other epigenetic modifications mediate part of the gene-environment interaction underlying asthma susceptibility and phenotypic heterogeneity. Asthma
Asthma
Medieval Jewish philosopher (1135/1138–1204)
In his view, God never violates the laws of nature. Rather, divine interaction is by way of angels, whom Maimonides often regards to be metaphors for
Maimonides
Land forces of the Russian Armed Forces
motions of their scripts with no true training value or combined arms interaction—infantry, armor, artillery, air, and resupply all trained separately
Russian_Ground_Forces
represents the dispersion relation for longitudinal waves, and represents a quartic equation in ω {\displaystyle \omega } . The roots can be expressed in the
Two-stream_instability
Musical chord
ISBN 0-19-816647-8. Bass, Richard (Autumn, 1994). "Models of Octatonic and Whole-Tone Interaction: George Crumb and His Predecessors", p. 161, Journal of Music Theory
Dominant seventh sharp ninth chord
Dominant_seventh_sharp_ninth_chord
top quark mass and Higgs boson mass (equivalently, the standard model quartic coupling λ {\displaystyle \ \lambda \ } ). The theory requires little
Composite_Higgs_models
century: Lodovico Ferrari solves the general quartic equation (by reducing it to the case with zero quartic term). 16th century: François Viète discovers
Timeline of scientific discoveries
Timeline_of_scientific_discoveries
Hypothetical composite Higgs model
top quark mass and Higgs boson mass (equivalently, the standard model quartic coupling λ {\displaystyle \ \lambda \ } ). The theory requires little
Top_quark_condensate
American jazz pianist (1929–1980)
Evans's life. Greater emphasis was placed on group improvisation and interaction, and new harmonic experiments were attempted. Gómez and Zigmund left
Bill_Evans
Method of pairing compatible chords and scales
in the blues, and consideration of directionality created between the interaction of a solo and a chord progression: "The disadvantages of this system
Chord-scale_system
Something that represents an idea, process, or physical entity
abstract or absent'; this appears, for example, in François Rabelais, Le Quart Livre, in 1552. This French word derives from Latin, where both the masculine
Symbol
Theory with particles of spin more than two
other no-go results include a direct analysis of possible interactions. Starting from the quartic order a generic higher-spin gravity (defined to be the
Higher-spin_theory
English polymath (1642–1727)
child; his mother, Hannah Ayscough, said that he could have fit inside a quart mug. When Newton was three, his mother remarried and went to live with her
Isaac_Newton
1964 single by Vince Guaraldi
while the right hand supplies syncopated chords and melodic figures. The interaction between these elements gives "Linus and Lucy" its characteristic momentum
Linus_and_Lucy
Distance between the centers of externally tangent objects
{\displaystyle E_{2}'} analytically. It requires the appropriate solution of a quartic equation. The normal n ′ {\displaystyle n'} is calculated. Determination
Distance_of_closest_approach
In biochemistry, the preference of ligands to bind with one receptor over another
is where the complexes formed have 1:1 stoichiometry. Then, the two interactions may be characterized by equilibrium constants KAB and KAC. A + B ↽ −
Binding_selectivity
1532–1564 novels by François Rabelais
The Fourth Book of Pantagruel (in French, Le quart-livre de Pantagruel; the original title is Le quart livre des faicts et dicts héroïques du bon Pantagruel)
Gargantua_and_Pantagruel
Constants that describe stability of coordination complexes
the interaction between the reagents that come together to form the complex. There are two main kinds of complex: compounds formed by the interaction of
Stability constants of complexes
Stability_constants_of_complexes
Body fluid in the circulatory system
of blood (hemochrome). Each molecule has four heme groups, and their interaction with various molecules alters the exact color. Arterial blood and capillary
Blood
Mental representation of the external world
there has been much discussion and use of the idea in human-computer interaction and usability by researchers including Donald Norman and Steve Krug (in
Mental_model
Romance language indigenous to the island of Sardinia
It seems to be a language relegated to a highly localised function of interaction between friends and relatives. Its institutional base is extremely weak
Sardinian_language
American linguist and activist (born 1928)
Hatzair's HaZore'a kibbutz while in Israel, but was appalled by his interactions with Jewish nationalism, anti-Arab racism and, within the kibbutz's leftist
Noam_Chomsky
Nutrient-rich liquid produced by mammals
phosphopeptide loop regions of the caseins. Once bound, protein-protein interactions are formed and polymerization occurs, in which κ-casein is used as an
Milk
Trzaskowski in January. Between January and April, Mentzen received 24 million interactions (likes, comments, shares) with his social media posts, Nawrocki received
2025 Polish presidential election
2025_Polish_presidential_election
Chemical compound containing a noble gas element
molecules: ArOH + and NeOH + rovibrational analysis from quantum chemical quartic force fields". Molecular Astrophysics. 2: 18–24. doi:10.1016/j.molap.2015
Noble_gas_compound
Process in physical chemistry
Cubic Scandium trifluoride has this property which is explained by the quartic oscillation of the fluoride ions. The energy stored in the bending strain
Negative_thermal_expansion
"日本电影在中国的传播及中日电影的互动" [The Dissemination of Japanese Films in China and the Interaction Between Chinese and Japanese Films] (PDF). Science Council of Asia (SCA)
List of highest-grossing action films
List_of_highest-grossing_action_films
Congolese band
July 2020). Transnational Religious Spaces: Religious Organizations and Interactions in Africa, East Asia, and Beyond. Berlin, Germany: De Gruyter. p. 233
Zaïko_Langa_Langa
Imperial dynasty of China (618–907)
in the Sui dynasty) that played eclectic Asian music. There was great interaction with India, a hub for Buddhist knowledge, with famous travellers such
Tang_dynasty
French-American artist and author (1935–2014)
experiences in memoirs that chronicled life at Warhol's Factory and her interactions with the era’s leading cultural figures. Isabelle Collin Dufresne was
Isabelle_Collin_Dufresne
Japanese manga anthology
appeared in Akita Shoten's Princess, the anthology includes "4/4 [Quatre-Quarts]" and "X+Y"—both of which were serialized in the Shogakukan magazine Petit
A,_A_Prime
Taiwanese whisky distillery Yuanshan Township, Yilan County, Taiwan
honey, and dried fruit characteristics derived from the intensive wood interaction during maturation. This profile distinguishes Kavalan from single malts
Kavalan_Distillery
Subculture defined by claims to authenticity and uniqueness
15, 2015). "The Choreography of Everyday Sexism: Reworking Sexism in Interaction". New Formations. 86 (86): 90, 95. doi:10.3898/newf.86.05.2015. S2CID 146620451
Hipster (contemporary subculture)
Hipster_(contemporary_subculture)
Hexagonal lattice made of carbon atoms
an inverse cubic asymptotic power law in contrast to the usual inverse quartic law. Graphene's permittivity varies with frequency. Over a range from microwave
Graphene
Physical and chemical properties of pure water
molecules to hydrogen bond to each other than to engage in van der Waals interactions with non-polar molecules. An example of an ionic solute is table salt;
Properties_of_water
Personal computer
forms for interaction with the database. Building on such foundations, programs could be written in a language called S to handle user interaction, graphical
Acorn_Archimedes
Italian theoretical physicist (1931–2014)
furniture manufacturer Gufram, for whom he "transformed a mathematical quartic function into a volume with intentionally ergonomic characteristics" to
Tullio_Regge
Hungarian and American mathematician and physicist (1903–1957)
coincidence". ACTES Proc. of 3rd Int. Analog Comp. Meeting. Afuso, C. (1964). Quart. Tech. Prog. Rept. Illinois: Department of Computer Science, University
John_von_Neumann
mathematician and physician; initiated the general theory of cubic and quartic equations. He emphasized the need for both negative and complex numbers
List_of_people_from_Italy
QUARTIC INTERACTION
QUARTIC INTERACTION
Male
Hebrew
(יָמִין) Hebrew name YAMIYN means "the right hand," "the right side," or "the right quarter." In the bible, this is the name of several characters, including a son of Simeon. The English form is Jamin.
Male
English
 English form of Spanish Gaspar, JASPER means "treasure bearer." Early Christians assigned names to the three Magi ("wise men from the east") who visited the baby Jesus. They are mentioned but not named in the bible; Jasper is one of them, the other two are Balthasar and Melchior. Jasper is also the name of an opaque cryptocrystalline variety of quartz that may be red, yellow or brown in color. Also spelled Casper and Kasper.
Boy/Male
Spanish
Born fourth.
Girl/Female
Assamese, Greek, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu, Traditional
Polite; Born in the First Quarter of the Day
Female
English
English name derived from Latin candida, CANDIDA means "clear and white,"Â like pure quartz rather than the whiteness of milk. George Bernard Shaw used this name for his 1895 play of the same name.
Girl/Female
Muslim
Quarter Moon
Girl/Female
Arabic, Hindu, Indian, Muslim
Quarter Moon
Girl/Female
Tamil
The Goddess who is quarter of the world
Girl/Female
Bengali, Hindu, Indian, Tamil
Peaceful; Born in the First Quarter of an Astrological Day
Biblical
fourth
Female
Chinese
blue glitter, or blue quartz.
Surname or Lastname
English (West Midlands)
English (West Midlands) : patronymic from Firkin, a metonymic occupational name for a maker of casks and barrels, or a nickname for a stout man or a heavy drinker, from Middle English fer(de)kyn ‘small cask’ (probably from a Middle Dutch diminutive of vierde ‘fourth (part)’; as a measure of capacity a firkin was reckoned as a quarter of a barrel).
Surname or Lastname
English (mainly East Anglia)
English (mainly East Anglia) : metonymic occupational name for someone who dealt in weights and measures, for example a grain factor, from Middle English pekke ‘peck’ (an old measure of dry goods equivalent to eight quarts or a quarter of a bushel).English : variant of Peak 1.Irish : variant of Peak 2.South German : variant of Beck.North German and Dutch : metonymic occupational name for someone who prepared or sold pitch, from Middle Low German pek, Middle Dutch pec, pic.Dutch : from Middle Dutch pec, pick ‘desperate straits’, hence a nickname for a person in difficult circumstances or perhaps for someone with a gloomy disposition.
Girl/Female
Biblical
Fourth.
Male
Hebrew
Variant spelling of Hebrew Yamiyn, YAMIN means "the right hand," "the right side," or "the right quarter."
Boy/Male
Latin Biblical
Born fourth.
Boy/Male
Scottish
Proud.
Male
English
Anglicized form of Hebrew Yamiyn, JAMIN means "the right hand," "the right side," or "the right quarter." In the bible, this is the name of several characters, including a son of Simeon.
Surname or Lastname
English
English : variant of Sale 1.English : metonymic occupational name for a maker of seals or signet rings, from Middle English, Old French seel ‘seal’ (Latin sigillum).English : metonymic occupational name for a maker of saddles, from Old French seele ‘saddle’.English : nickname for a plump or ungainly person, from Middle English sele ‘seal’ (the aquatic mammal).Americanized form (translation) of Jewish Siegel.
Girl/Female
Hindu
The Goddess who is quarter of the world
QUARTIC INTERACTION
QUARTIC INTERACTION
Female
Hebrew
(×Ö·×žÖ´×™× Ö¸×”) Hebrew name AMINA means "faithful, trusted." Compare with another form of Amina.
Girl/Female
Hindu, Indian
Full of Energy
Female
English
English name having several possible origins, the most likely being from the place name invented by Henry Schoolcraft, composed of the prefix Al- from the Native American tribal name Algonquin, and the suffix -goma from the Algonquin word goma, ALGOMA means "lake."Â
Boy/Male
Muslim/Islamic
Hansome beautiful, distinguished illustrious, noble, Magnanimous. Name of a companion of the Prophet, bin al-Muzan
Boy/Male
Indian, Sanskrit
Lord of Existence
Girl/Female
Indian
First power, Goddess Durga
Boy/Male
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit
Plenty; Maximum; Intelligent; Young and Dynamic; Earth
Boy/Male
Spanish
Lord.
Girl/Female
Hindu, Indian
Complete Freedom; One who None can Lead
Boy/Male
Tamil
Anandamay | ஆநஂதமய
One with full of happiness
QUARTIC INTERACTION
QUARTIC INTERACTION
QUARTIC INTERACTION
QUARTIC INTERACTION
QUARTIC INTERACTION
a.
Having four leaves to the sheet; of the form or size of a quarto.
n.
The fourth of a ton in weight, or eight bushels of grain; as, a quarter of wheat; also, the fourth part of a chaldron of coal.
v. t.
A division of a town, city, or county; a particular district; a locality; as, the Latin quarter in Paris.
a.
Of or pertaining to the fourth; occurring every fourth day, reckoning inclusively; as, a quartan ague, or fever.
n.
A homogeneous algebraic function of two or more variables, in general containing only positive integral powers of the variables, and called quadric, cubic, quartic, etc., according as it is of the second, third, fourth, fifth, or a higher degree. These are further called binary, ternary, quaternary, etc., according as they contain two, three, four, or more variables; thus, the quantic / is a binary cubic.
n.
A quantic of the fifth degree. See Quantic.
n.
The after-part of a vessel's side, generally corresponding in extent with the quarter-deck; also, the part of the yardarm outside of the slings.
n.
The fourth part; a quarter; hence, a region of the earth.
n.
One of four equal parts into which anything is divided, or is regarded as divided; a fourth part or portion; as, a quarter of a dollar, of a pound, of a yard, of an hour, etc.
a.
Pertaining to water; growing in water; living in, swimming in, or frequenting the margins of waters; as, aquatic plants and fowls.
v. t.
The fourth part of the distance from one point of the compass to another, being the fourth part of 11¡ 15', that is, about 2¡ 49'; -- called also quarter point.
n.
A curve or surface whose equation is of the fourth degree in the variables.
n.
A vessel or measure containing a quart.
n.
An aquatic animal or plant.
n.
A quantic of the second degree. See Quantic.
a.
Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square.
n.
The fourth part of the moon's period, or monthly revolution; as, the first quarter after the change or full.
pl.
of Quarto
n.
A quantic of the fourth degree. See Quantic.