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Set of mathematical concepts in quantum gravity
In quantum gravity, quantum geometry is the set of mathematical concepts that generalize geometry to describe physical phenomena at distance scales comparable
Quantum_geometry
Aspect of theoretical physics
Quantum geometry in condensed matter physics refers to gauge-invariant geometric properties of quantum states as functions of external parameters—most
Quantum geometry (condensed matter)
Quantum_geometry_(condensed_matter)
2006 book by Ingemar Bengtsson and Karol Życzkowski
Geometry of Quantum States: An Introduction to Quantum Entanglement is a book by Ingemar Bengtsson and Karol Życzkowski about the mathematics used in quantum
Geometry_of_Quantum_States
Theory of quantum gravity merging quantum mechanics and general relativity
Smolin showed that the quantum operators of the theory associated to area and volume have a discrete spectrum. That is, geometry is quantized. This result
Loop_quantum_gravity
Finite, symmetry-reduced model of loop quantum gravity
the prominent role played by the quantum geometry effects of loop quantum gravity (LQG). In particular, quantum geometry creates a brand new repulsive force
Loop_quantum_cosmology
Minimum amount of a physical entity involved in an interaction
quanta. Introduction to quantum mechanics History of quantum mechanics Quantum geometry Wiener, N. (1966). Differential Space, Quantum Systems, and Prediction
Quantum
Concept in theoretical mathematical physics
Planck time. Quantum spacetimes are often described mathematically using the noncommutative geometry of Connes, quantum geometry, or quantum groups. Any
Quantum_spacetime
Topological structure in loop quantum gravity
needed] A spin foam is analogous to quantum history.[why?] Spin networks provide a language to describe the quantum geometry of space. Spin foam does the same
Spin_foam
Branch of mathematics
under noncommutative geometry developed from several areas, including operator algebra theory, index theory, algebraic geometry, quantum mechanics and ergodic
Noncommutative_geometry
Study of the 3D shapes of molecules
geometries (conformational isomerism) that are close in energy on the potential energy surface. Geometries can also be computed by ab initio quantum chemistry
Molecular_geometry
Formulation of general relativity
that in a theory of quantum geometry such as canonical quantum gravity, geometric quantities such as area and volume become quantum observables and take
Canonical_quantum_gravity
Fringe hypothesis
The quantum mind or quantum consciousness is a group of hypotheses proposing that local physical laws and interactions from classical mechanics or connections
Quantum_mind
Description of gravity using discrete values
noncommutative geometry, and twistor theory. One of the difficulties of formulating a quantum gravity theory is that direct observation of quantum gravitational
Quantum_gravity
Interpretation of quantum mechanics
The many-worlds interpretation (MWI) is an interpretation of quantum mechanics that asserts that the universal wavefunction is objectively real, and that
Many-worlds_interpretation
Quantum mechanical statistic
The quantum potential or quantum potentiality is a central concept of the de Broglie–Bohm formulation of quantum mechanics, introduced by David Bohm in
Quantum_potential
Theory of subatomic structure
noncommutative quantum field theory, a special kind of physical theory in which spacetime is described mathematically using noncommutative geometry. This established
String_theory
Technique in statistics
Filtering problem Quantum systems Neural networks Machine learning Statistical mechanics Biology Statistics Mathematical finance Ruppeiner geometry Kullback–Leibler
Information_geometry
Property of computational resources needed
matter-geometry coupling in the quantum extremal surface prescription. These results suggest that non-local magic may be a resource not only for quantum computational
Magic_(quantum_information)
In quantum geometry or noncommutative geometry a quantum differential calculus or noncommutative differential structure on an algebra A {\displaystyle
Quantum_differential_calculus
Theoretical framework in physics
field Quantum chromodynamics Quantum electrodynamics Quantum flavordynamics Quantum geometry Quantum hadrodynamics Quantum hydrodynamics Quantum triviality
Quantum_field_theory
Physics generalization
into quantum mechanical systems. It emerges from several approaches to quantum gravity, including string theory, loop quantum gravity, and quantum geometry
Generalized uncertainty principle
Generalized_uncertainty_principle
Force resulting from the quantisation of a field
In quantum field theory, the Casimir effect (or Casimir force) is a physical force acting on the macroscopic boundaries of a confined space which arises
Casimir_effect
Graduate physics textbook by Sean M. Carroll
Eric (2005). "Book Review: Spacetime and Geometry: An Introduction to General Relativity". Classical and Quantum Gravity. 22 (20). doi:10.1088/0264-9381/22/20/B01
Spacetime_and_Geometry
Overview of and topical guide to geometry
algebraic geometry Noncommutative geometry Ordered geometry Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian geometry Ruppeiner
Outline_of_geometry
Hypothetical scenario for the ultimate fate of the universe
the horizon problem—from a new perspective. Under this model, due to quantum geometry, the Big Bang is replaced by the Big Bounce with no assumptions or
Big_Crunch
Extension of quantum field theory to curved spacetime
field theory Topological quantum field theory Quantum geometry Quantum spacetime Kay, B. S. (2025). "Quantum Field Theory in Curved Spacetime". Encyclopedia
Quantum field theory in curved spacetime
Quantum_field_theory_in_curved_spacetime
Indian-American theoretical physicist
waves in nonlinear general relativity, quantum geometry at the Planck scale, black hole physics, and the quantum description of the Big Bang. He has authored
Abhay_Ashtekar
Phenomenon resulting from the superposition of two waves
addition to the classical wave model for understanding optical interference, quantum matter waves also demonstrate interference. The above can be demonstrated
Wave_interference
Pseudoscience claiming to build on quantum mechanics
Quantum mysticism, sometimes referred to pejoratively as quantum quackery or quantum woo, is a set of metaphysical beliefs and associated practices that
Quantum_mysticism
Discrete geometries used in spin foam models
Twisted geometries are discrete geometries that play a role in loop quantum gravity and spin foam models, where they appear in the semiclassical limit
Twisted_geometries
This is a list of notable textbooks on classical mechanics and quantum mechanics arranged according to level and surnames of the authors in alphabetical
List of textbooks on classical mechanics and quantum mechanics
List_of_textbooks_on_classical_mechanics_and_quantum_mechanics
Field theory involving topological effects in physics
and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory that computes topological
Topological quantum field theory
Topological_quantum_field_theory
Theory of gravitation as curved spacetime
associated geometry of spacetime are described in the language of quantum physics. Despite major efforts, no complete and consistent theory of quantum gravity
General_relativity
Branch of mathematics
in the development of quantum field theory and the Standard Model of particle physics. Outside of physics, differential geometry finds applications in
Differential_geometry
Concept in general relativity and quantum field theory
In loop quantum gravity (LQG) it is possible to associate a geometrical interpretation with the microstates: these are the quantum geometries of the horizon
Black_hole_thermodynamics
Branch of mathematics
Riemannian geometry and pseudo-Riemannian geometry are used in general relativity. String theory makes use of several variants of geometry, as does quantum information
Geometry
Computer hardware technology that uses quantum mechanics
discovery. In quantum-computing research, AlphaEvolve-optimized quantum circuits have been used in work on quantum computation of molecular geometry through
Quantum_computing
Hypothetical physical concept
combined relativity and quantum mechanics and, working with other physicists, developed quantum electrodynamics that combines quantum mechanics and electromagnetism
Theory_of_everything
Concept in cosmology
vacuum energy density much smaller than a zero-point energy suggested by quantum field theory? More unsolved problems in physics In cosmology, the cosmological
Cosmological_constant_problem
Branch of physics seeking to explain chaotic dynamical systems in terms of quantum theory
Quantum chaos is a branch of physics focused on how chaotic classical dynamical systems can be described in terms of quantum theory. The primary question
Quantum_chaos
Hypothetical topological feature of spacetime
Quantum Geometry: A Framework for Quantum General Relativity, Springer, 2013, p. 412. Ford; Roman (1995). "Averaged Energy Conditions and Quantum Inequalities"
Wormhole
Branch of mathematics
quantum mechanics, given its intimate connection with commutativity relations and Lie algebras, specifically quantum groups. Noncommutative geometry Quantum
Quantum_calculus
Quantum device which stores energy
A quantum battery is a type of electric battery that uses the principles of quantum mechanics to store energy. They have the potential to be more efficient
Quantum_battery
Approach to quantum gravity using discrete spacetime
Class. Quantum Grav. 23 (2006) 6195-6213; arXiv:gr-qc/0606065v2 (Black hole entropy) Locality and quantum field theory G. Hemion, A discrete geometry: speculations
Causal_sets
Physics phenomenon
Quantum entanglement is the phenomenon in which the quantum state of each particle in a group cannot be described independently of the state of the others
Quantum_entanglement
Comprehensive physical model
possible due to the energy scale dependence of force coupling parameters in quantum field theory called renormalization group "running", which allows parameters
Grand_Unified_Theory
Cryptography based on quantum mechanical phenomena
Quantum cryptography is the science of exploiting quantum mechanical properties such as quantum entanglement, measurement disturbance, no-cloning theorem
Quantum_cryptography
Hypothetical quantum cosmological effect
~10−26 s. A detailed study of the quantum geometry of a black hole event horizon has been made using loop quantum gravity. Loop-quantization does not
Hawking_radiation
References Quantum calculus a form of calculus without the notion of limits. Quantum geometry the generalization of concepts of geometry used to describe
Glossary of areas of mathematics
Glossary_of_areas_of_mathematics
Formulation of quantum mechanics
"Geometry and Quantum Field Theory". MIT OpenCourseWare. This course, designed for mathematicians, is a rigorous introduction to perturbative quantum field
Path_integral_formulation
Geometric space with five dimensions
or physical space that has five independent dimensions. In physics and geometry, such a space extends the familiar three spatial dimensions plus time (4D
Five-dimensional_space
Numerical coefficient in loop quantum gravity
puncture the event horizon, contributing area to it, and that the quantum geometry of the horizon can be described by a U(1) Chern–Simons theory. The
Immirzi_parameter
Symmetry between bosons and fermions
Supersymmetric quantum mechanics adds the SUSY superalgebra to quantum mechanics as opposed to quantum field theory. Supersymmetric quantum mechanics often
Supersymmetry
Aspect of astrophysics history
Carlo Rovelli and Lee Smolin obtained an explicit basis of states of quantum geometry, which turned out to be labeled by Penrose's spin networks. In this
History of loop quantum gravity
History_of_loop_quantum_gravity
Theory of gravity
time in canonical quantum gravity. The replacement of the spacetime picture with a picture of evolving spatial conformal geometry opens the door for
Shape_dynamics
Candidate unified theory of physics
the theory of causal fermion systems is a proposal for quantum geometry and an approach to quantum gravity. Causal fermion systems were introduced by Felix
Causal_fermion_systems
Formulation of classical mechanics using momenta
relationship with geometry (notably, symplectic geometry and Poisson structures) and serves as a link between classical and quantum mechanics. Let ( M
Hamiltonian_mechanics
Generalization of the standard Boltzmann–Gibbs entropy
"Non-extensive statistical mechanics and black hole entropy from quantum geometry". Physics Letters B. 775: 32–36. arXiv:1703.09355. Bibcode:2017PhLB
Tsallis_entropy
Open question in particle physics
is not associated with an independent mass, but instead is a mixture (quantum superposition) of all three mass eigenstates. Mathematically, the flavor
Neutrino_mass_hierarchy
Concept in mathematical knot theory
operators for quantum symmetric spaces, II". arXiv:math/0406194. Sawon, Justin (2000). "Topological quantum field theory and hyperkähler geometry". arXiv:math/0009222
Quantum_invariant
Unsolved problem in physics
been a delicate cancellation between the fundamental quantity and the quantum corrections. Hierarchy problems are related to fine-tuning problems and
Hierarchy_problem
Typographic symbol
Study. p. 450. Larus Thorlacius, Thordur Jonsson (eds.), M-Theory and Quantum Geometry, Springer, 2012, p. 263. "Virgule". Oxford English Dictionary. Vol
Vertical_bar
noncommutative projective geometry is a noncommutative analog of projective geometry in the setting of noncommutative algebraic geometry. The quantum plane, the most
Noncommutative projective geometry
Noncommutative_projective_geometry
Classical theory of gravitation
Riemann–Cartan geometry, which possesses a locally gauged Lorentz symmetry, while general relativity is formulated within the framework of Riemannian geometry, which
Einstein–Cartan_theory
Fundamental object of geometry
In geometry, a point is an abstract idealization of an exact position, without size, in physical space, or its generalization to other kinds of mathematical
Point_(geometry)
Quantum field theory using noncommutative mathematics
noncommutative mathematics to the spacetime of quantum field theory that is an outgrowth of noncommutative geometry and index theory in which the coordinate
Noncommutative quantum field theory
Noncommutative_quantum_field_theory
Interpretation of quantum mechanics
philosophy of physics, QBism (pronounced "cubism") is an interpretation of quantum mechanics that takes an agent's actions and experiences as the central
QBism
Branch of differential geometry and differential topology
Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds
Symplectic_geometry
Fluctuation of spacetime on very small scales
Quantum foam (also known as spacetime foam, or spacetime bubble) is a theoretical quantum fluctuation of spacetime on very small scales due to quantum
Quantum_foam
British quantum physicist (1935–2025)
"Towards a Quantum Geometry, Groupoids, Clifford algebras and Shadow Manifolds" (PDF). Schönberg, M. (1957). "Quantum kinematics and geometry". Il Nuovo
Basil_Hiley
Unified field theory
classical theory of Kaluza described above, and then departed into Klein's quantum interpretation. Klein solved a Schrödinger-like wave equation using an
Kaluza–Klein_theory
Theory of fundamental physics
known as the BEC vacuum theory, is an approach in theoretical physics and quantum mechanics where the fundamental physical vacuum (non-removable background)
Superfluid_vacuum_theory
1999 book by Brian Greene
Greene explains how this may change in the near future. Chapter 10, "Quantum Geometry" discusses Calabi-Yau spaces and their applications. Chapter 11, "Tearing
The_Elegant_Universe
Type of geometry
Projective geometry later proved key to Paul Dirac's invention of quantum mechanics. At a foundational level, the discovery that quantum measurements
Projective_geometry
Theories trying to extend known physics
direction are supersymmetry, loop quantum gravity, and String theory. Theories of quantum gravity such as loop quantum gravity and others are thought by
Physics beyond the Standard Model
Physics_beyond_the_Standard_Model
Subfield of computer science and mathematics
intelligence, artificial immune systems, fractal geometry, artificial life, DNA computing, and quantum computing, among others. However, the field is more
Theoretical_computer_science
Relativistic wave equation in quantum mechanics
named. Within relativistic quantum mechanics, it suffers from numerous conceptual problems that are only resolved in quantum field theory, where the equation
Klein–Gordon_equation
Academic journal
Probability Geometry Approaches to Thermodynamics Classical and Quantum Dynamical Systems Classical and Quantum Integrable Systems Classical and Quantum Mechanics
Journal of Geometry and Physics
Journal_of_Geometry_and_Physics
Theoretical Physics
background and is equivalent to a quantum gravitational theory whose different states each correspond to a possible spacetime geometry. The conformal field theory
Ryu–Takayanagi_conjecture
Academic journal
general relativity, quantum theory with relativistic quantum field theory, quantum measurement theory, quantum geometry and quantum logic. Services abstracting
International Journal of Theoretical Physics
International_Journal_of_Theoretical_Physics
Algebraic construct of interest in theoretical physics
spirit of the noncommutative geometry of Alain Connes. This intuition, however, came after particular classes of quantum groups had already proved their
Quantum_group
Hypothetical approach to quantum gravity with emergent spacetime
Loll, Jan Ambjørn and Jerzy Jurkiewicz, is an approach to quantum gravity that, like loop quantum gravity, is background independent. This means that it
Causal dynamical triangulation
Causal_dynamical_triangulation
Theory of a quantum origin of consciousness
originates at the quantum level inside neurons (rather than being a product of neural connections). The mechanism is held to be a quantum process called
Orchestrated objective reduction
Orchestrated_objective_reduction
Any entity that can be measured
V.S. (2007). Geometry of quantum theory (2nd ed.). New York: Springer. ISBN 9780387493862. Weyl, Hermann (2009). "Appendix C: Quantum physics and causality"
Observable
Mathematics of a particle physics model
The Standard Model of particle physics is a gauge quantum field theory containing the internal symmetries of the unitary product group SU(3) × SU(2) × U(1)
Mathematical formulation of the Standard Model
Mathematical_formulation_of_the_Standard_Model
Mathematical entity to describe the probability of each possible measurement on a system
In quantum physics, a quantum state is a mathematical entity that represents a physical system. Quantum mechanics specifies the construction, evolution
Quantum_state
Condensed matter physics model involving only closed loops
studied in loop quantum gravity. This has led to the proposal by Levin and Wen, and Smolin, Markopoulou and Konopka that loop quantum gravity's spin networks
String-net_liquid
Physical theory with fields invariant under the action of local "gauge" Lie groups
of gauge symmetries appeared first in the relativistic quantum mechanics of electrons – quantum electrodynamics, elaborated-on below. Today, gauge theories
Gauge_theory
Mathematical structures that allow quantum mechanics to be explained
mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics. This mathematical
Mathematical formulation of quantum mechanics
Mathematical_formulation_of_quantum_mechanics
Term in quantum mechanics
In quantum mechanics, notably in quantum information theory, fidelity quantifies the "closeness" between two density matrices. It expresses the probability
Fidelity_of_quantum_states
British physicist
collective degree of freedom of fractional quantum Hall effect (FQHE) states. This new "Chern-Simons + quantum geometry" description is a replacement for the
Duncan_Haldane
Metric on a complex projective space endowed with Hermitian form
ISBN 978-3-540-15279-8 Brody, D.C.; Hughston, L.P. (2001), "Geometric Quantum Mechanics", Journal of Geometry and Physics, 38 (1): 19–53, arXiv:quant-ph/9906086, Bibcode:2001JGP
Fubini–Study_metric
Defunct American particle accelerator at Fermilab in Illinois (1983–2011)
dimensions Quantum gravity False vacuum String theory Spin foam Quantum foam Quantum geometry Loop quantum gravity Quantum cosmology Loop quantum cosmology
Tevatron
Branch of mathematics
for noncommutative geometry, and in particular for the noncommutative algebraic geometry, is from physics; especially from quantum physics, where the
Noncommutative algebraic geometry
Noncommutative_algebraic_geometry
Branch of applied mathematics
quantum field theory. Moreover, they have provided multiple examples and ideas in differential geometry (e.g., several notions in symplectic geometry
Mathematical_physics
Concept in algebraic geometry
In mathematics, specifically in symplectic topology and algebraic geometry, a quantum cohomology ring is an extension of the ordinary cohomology ring of
Quantum_cohomology
Attempt to find a consistent theory of quantum gravity
renormalizability) is a concept in quantum field theory which aims at finding a consistent and predictive quantum theory of the gravitational field. Its
Asymptotic_safety
Mathematical approach to quantum physics
In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated
Perturbation theory (quantum mechanics)
Perturbation_theory_(quantum_mechanics)
Italian mathematician and physicist
Marcolli, Matilde; Parashar, Deepak (2011). Quantum groups and noncommutative spaces perspectives on quantum geometry: a publication of the Max-Planck-Institute
Matilde_Marcolli
Physics laboratory in Assergi, Italy
dimensions Quantum gravity False vacuum String theory Spin foam Quantum foam Quantum geometry Loop quantum gravity Quantum cosmology Loop quantum cosmology
Laboratori Nazionali del Gran Sasso
Laboratori_Nazionali_del_Gran_Sasso
QUANTUM GEOMETRY
QUANTUM GEOMETRY
Boy/Male
Hindu, Indian
Calm
Boy/Male
Latin Biblical
Born fourth.
Biblical
fourth
Surname or Lastname
English
English : nickname from Middle English cointe, quointe ‘known’ (via Old French, from Latin cognitus ‘known’). The Middle English word was used in various senses, any of which could have given rise to the surname: ‘cunning’, ‘crafty’, ‘knowledgeable’ (especially about dress, hence ‘elegant’), ‘attractive’. The sense development continued with ‘odd’ or ‘unusual’, the normal meaning of the modern English word ‘quaint’.German and Dutch : variant of Quandt.
Surname or Lastname
South German
South German : occupational name for an official in charge of the legal auction of property confiscated in default of a fine; such a sale was known in Middle High German as a gant (from Italian incanto, a derivative of Late Latin inquantare ‘to auction’, from the phrase In quantum? ‘To how much (is the price raised)?’).German : metonymic occupational name for a cooper, from Middle High German ganter, kanter ‘barrel rack’.German : variant of Gander 3.English : occupational name for a glover, from Old French gantier, an agent derivative of gant ‘glove’ (see Gant).
Surname or Lastname
English
English : from the personal name Horace, Latin Horatius, a Roman family name of unknown origin, associated chiefly with the name of the poet Quintus Horatius Flaccus (65–8 bc).
Boy/Male
Danish, Finnish, French, German, Latin, Shakespearean, Swedish
Born Fifth
Surname or Lastname
English (of Norman origin)
English (of Norman origin) : habitational name from any of several places in France deriving their names from the Gallo-Roman personal name Quintus, meaning ‘fifth(-born)’ + the locative suffix -acum. The earliest bearers of the name in England were from Cuinchy in Pas-de-Calais, but other stocks may be from Quincy-sous-Sénard in Seine-et-Oise or Quincy-Voisins in Seine-et-Marne.The American Quincy family were established in MA by Edmund Quincy in 1633. Fifth in descent was Josiah Quincy (1744–75), a leading patriot, who was sent to England to argue the colonists’ case in 1774. His son Josiah (1772–1864) was a powerful opponent of slavery, president of Harvard, and mayor of Boston, a post also held by several of his descendants. The traditional pronunciation is “Quinzyâ€.
Male
English
English surname transferred to forename use, derived from the Norman baronial name Cuinchy, a derivative of Roman Quintus, QUINCY means "fifth."
Boy/Male
Greek
Greek surname. Euclid was an early developer of geometry theories.
Girl/Female
Biblical
Fourth.
QUANTUM GEOMETRY
QUANTUM GEOMETRY
Boy/Male
Indian, Tamil
A King from the Mahabharat
Male
Iranian/Persian
(Ùیروز) Persian form of Arabic Firuz, FEROZE means "victorious."
Boy/Male
Indian, Malayalam
One who Brings Happiness
Boy/Male
British, English, French, Jamaican
Son of the Nobleman
Boy/Male
Celtic
Slender.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Sindhi, Telugu
Water; Sea; Crop
Girl/Female
English American Irish
Cushion. Helpful.
Girl/Female
Tamil
Priyakankshi | பà¯à®°à¯€à®¯à®¾à®•à®¾à®¨à¯à®•à¯à®·à¯€
Boy/Male
Muslim
Obedient
Boy/Male
Hindu, Indian, Malayalam, Marathi, Tamil, Telugu, Traditional
The Sun Light of the World; Lord Vishnu
QUANTUM GEOMETRY
QUANTUM GEOMETRY
QUANTUM GEOMETRY
QUANTUM GEOMETRY
QUANTUM GEOMETRY
n.
A quantic of the second degree. See Quantic.
n.
A function involving the coefficients and the variables of a quantic, and such that when the quantic is lineally transformed the same function of the new variables and coefficients shall be equal to the old function multiplied by a factor. An invariant is a like function involving only the coefficients of the quantic.
n.
A fanciful, odd, or extravagant notion; a quant fancy; an unnatural or affected conception; a witty thought or turn of expression; a fanciful device; a whim; a quip.
n.
A quantic of the sixth degree.
n.
A quantic of the seventh degree.
n.
A definite portion of a manifoldness, limited by a mark or by a boundary.
v. t.
To determine the form, extent, position, etc., of, as a tract of land, a coast, harbor, or the like, by means of linear and angular measurments, and the application of the principles of geometry and trigonometry; as, to survey land or a coast.
a.
Of, pertaining to, or in the manner of, the Roman general, Quintus Fabius Maximus Verrucosus; cautious; dilatory; avoiding a decisive contest.
n.
A quantic of the fifth degree. See Quantic.
n.
Part or proportion; quota.
n.
The act of superposing, or the state of being superposed; as, the superposition of rocks; the superposition of one plane figure on another, in geometry.
n.
A quantic of the eighth degree.
n.
The doctrine of the sphere; the science of the properties and relations of the circles, figures, and other magnitudes of a sphere, produced by planes intersecting it; spherical geometry and trigonometry.
n.
One of the variables of a quantic as distinguished from a coefficient.
n.
The art of delineating the forms of solid bodies on a plane; a branch of solid geometry which shows the construction of all solids which are regularly defined.
n.
Quantity; amount.
n.
A quantic of the fourth degree. See Quantic.
pl.
of Quantum
n.
A punting pole with a broad flange near the end to prevent it from sinking into the mud; a setting pole.
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.