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Theory of gravitation as curved spacetime
to curved spacetime by replacing partial derivatives with their curved-manifold counterparts, covariant derivatives studied in differential geometry.
General_relativity
Field theory involving topological effects in physics
deformation of spacetime and are therefore topological invariants. Topological field theories are not very interesting on flat Minkowski spacetime used in particle
Topological quantum field theory
Topological_quantum_field_theory
Method in wireless communication systems
channel impairments but knows the statistics of the channel. In differential space–time codes neither the channel nor the statistics of the channel are available
Space–time_code
Setting of relativistic physics in geometric algebra
physics, spacetime algebra (STA) is the application of Clifford algebra Cl1,3(R), or equivalently the geometric algebra G(M4) of physics. Spacetime algebra
Spacetime_algebra
Methods used to find numerical solutions of ordinary differential equations
methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs).
Numerical methods for ordinary differential equations
Numerical_methods_for_ordinary_differential_equations
Study of the properties of codes and their fitness
Coding theory is the study of the properties of codes and their respective fitness for specific applications. Codes are used for data compression, cryptography
Coding_theory
Theory of subatomic structure
relativity, a theory that explains the force of gravity and the structure of spacetime at the macro-level. The other is quantum mechanics, a completely different
String_theory
Physical quantities taking values at each point in space and time
formulated in terms of two interacting vector fields at each point in spacetime, or as a single rank-2 tensor field. In the modern framework of the quantum
Field_(physics)
Theory in theoretical physics
quantities within the full string theory whose values are protected by spacetime supersymmetry. Various calculations in topological string theory are closely
Topological_string_theory
Approach to quantum gravity using discrete spacetime
that spacetime is fundamentally discrete (a collection of discrete spacetime points, called the elements of the causal set) and that spacetime events
Causal_sets
Branch of applied mathematics
differential geometry, now known as Riemannian geometry. Einstein initially called this "superfluous learnedness", but later used Minkowski spacetime
Mathematical_physics
Branch of numerical analysis
methods for partial differential equations is the branch of numerical analysis that studies the numerical solution of partial differential equations (PDEs)
Numerical methods for partial differential equations
Numerical_methods_for_partial_differential_equations
Physical theory with fields invariant under the action of local "gauge" Lie groups
invariant under a transformation identically performed at every point in the spacetime in which the physical processes occur, they are said to have a global
Gauge_theory
Mathematical approach to quantum physics
J, Salehi Vaziri K (2021). "Hamiltonian truncation in Anti-de Sitter spacetime". Journal of High Energy Physics. 2021 (8) 63. arXiv:2104.10689. Bibcode:2021JHEP
Perturbation theory (quantum mechanics)
Perturbation_theory_(quantum_mechanics)
Algebra based on a vector space with a quadratic form
form is not a Lorentz transformation of the underlying spacetime. The Clifford algebra of spacetime used in physics thus has more structure than Cl4(C).
Clifford_algebra
Field of higher mathematics
tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry
Geometric_analysis
Algebra of 4D spacetime
three-dimensional Euclidean space as a model for (3+1)-dimensional spacetime, representing a point in spacetime via a paravector (3-dimensional vector plus a 1-dimensional
Algebra_of_physical_space
Branch of mathematics
combinatorics Continuous probability Differential entropy in information theory Differential games Differential geometry, the application of calculus
Mathematical_analysis
component-oriented modeling of complex systems including algebraic and differential equations. OpenModelica and Jmodelica are some of the opensource implementations
List of open-source software for mathematics
List_of_open-source_software_for_mathematics
Collection of random variables
stochastic calculus, which involves stochastic integrals and stochastic differential equations based on the Wiener or Brownian motion process. Also starting
Stochastic_process
Formulation of classical mechanics
extensions of the quantities given here in flat 3D space to 4D curved spacetime, the above form of Newton's law also carries over to Einstein's general
Lagrangian_mechanics
Application of mathematical methods to other fields
mathematics consisted principally of applied analysis, most notably differential equations; approximation theory (broadly construed, to include representations
Applied_mathematics
Software for a class of mathematical problems
non-linear optimisation problems Systems of ordinary differential equations Systems of differential algebraic equations Boolean satisfiability problems
Solver
Quantum field theory enjoying conformal symmetry
The rest of the conformal group is spontaneously broken. For a given spacetime and metric, a conformal transformation is a transformation that preserves
Conformal_field_theory
Methods of mathematical approximation
\ D\ } stand in for the problem to be solved. Quite often, these are differential equations, thus, the letter "D". The process is generally mechanical
Perturbation_theory
Branch of applied probability theory
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Decision_theory
Study of discrete mathematical structures
to differential equations, but replace differentiation by taking the difference between adjacent terms; they can be used to approximate differential equations
Discrete_mathematics
Physical theory describing classical fields
density, the action functional can be constructed by integrating over spacetime, S = ∫ L − g d 4 x . {\displaystyle {\mathcal {S}}=\int {{\mathcal {L}}{\sqrt
Classical_field_theory
backward stochastic differential equation method is a numerical method that combines deep learning with Backward stochastic differential equation (BSDE).
Deep backward stochastic differential equation method
Deep_backward_stochastic_differential_equation_method
Mathematical manifold theory
studying the cohomology groups of a smooth manifold M using partial differential equations. The key observation is that, given a Riemannian metric on
Hodge_theory
1960 article by Eugene Wigner
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences
Study of abstract machines and automata
by using abstract algebra to describe information systems rather than differential calculus to describe material systems. The theory of the finite-state
Automata_theory
Formulation of classical mechanics using momenta
time evolution of coordinates and conjugate momenta in four first-order differential equations, θ ˙ = P θ m ℓ 2 φ ˙ = P φ m ℓ 2 sin 2 θ P θ ˙ = P φ 2 m
Hamiltonian_mechanics
Set of objects whose state must satisfy limits
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Constraint satisfaction problem
Constraint_satisfaction_problem
Sub-area of scientific computing for solving General Relativity equations
unified spacetime subject to what are now known as the Einstein field equations. These form a set of coupled nonlinear partial differential equations
Numerical_relativity
Calculus of vector-valued functions
Vector calculus plays an important role in differential geometry and in the study of partial differential equations. It is used extensively in physics
Vector_calculus
Infinitesimal calculus on functions defined on a geometric algebra
other mathematical theories including vector calculus, differential geometry, and differential forms. With a geometric algebra given, let a {\displaystyle
Geometric_calculus
Harmonic functions as solutions to Laplace's equation
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Potential_theory
Theory of getting acceptably close inexact mathematical calculations
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Approximation_theory
Detail of the global positioning system
GPS. Special relativity allows the comparison of clocks only in a flat spacetime, which neglects gravitational effects on the passage of time. According
Error analysis for the Global Positioning System
Error_analysis_for_the_Global_Positioning_System
Type of approximation to an underlying physical theory
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Effective_field_theory
Branch of computer science
Combinatorial Theory, Series B Journal of Computational Geometry Journal of Differential Geometry Journal of the ACM Journal of Algorithms Journal of Computer
Computational_geometry
Concept in theoretical physics
the coupling g(μ) with respect to change in energy scale μ through a differential equation, the renormalization group equation ∂ g ∂ ln μ = ψ ( g ) =
Renormalization_group
Area of mathematics
for example numerical linear algebra and numerical solution of partial differential equations Stochastic methods, such as Monte Carlo methods and other representations
Computational_mathematics
Calculus on stochastic processes
finance, in which asset prices are often assumed to follow stochastic differential equations. For example, the Black–Scholes model prices options as if
Stochastic_calculus
Austrian-American physicist (1921–1977)
gravity in Austin. In 1965, Schild found the Kerr–Schild form of the spacetime metric. A dramatization of the calculation of the Kerr metric by Roy Kerr
Alfred_Schild
Opposition to the passage of an electric current
{\mathrm {d} V}{\mathrm {d} I}}} may be most useful; this is called the differential resistance. In the hydraulic analogy, current flowing through a wire
Electrical resistance and conductance
Electrical_resistance_and_conductance
Branch of functional analysis
functional analysis, it has direct applications to representation theory, differential geometry, quantum statistical mechanics, quantum information, and quantum
Operator_algebra
Origins of Einstein's gravitation theory
in 1905. He published a Lorentz invariant theory on four-dimensional spacetime, where gravity is transmitted by gravitational waves that travel at the
History_of_general_relativity
representations of a Lie supergroup. The general supersymmetry algebra for spacetime dimension d, and with the fermionic piece consisting of a sum of N irreducible
Supersymmetry_algebra
Associative algebra together with a Lie bracket that satisfies Leibniz's law
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Poisson_algebra
Branch of mathematics concerning probability
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Probability_theory
Sequence of operations for a task
processing. More advanced algorithms can use conditionals to divert the code execution through various routes (referred to as automated decision-making)
Algorithm
Study of vector bundles, principal bundles, and fibre bundles
In mathematics, and especially differential geometry and mathematical physics, gauge theory is the general study of connections on vector bundles, principal
Gauge_theory_(mathematics)
Framework to describe phase transitions
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Statistical_field_theory
Software used in mathematical applications
is available in web browsers, without the need to download or install any code. List of bioinformatics software Biostatistics software List of systems biology
Mathematical_software
Class of mathematical software
exterior calculus on differentiable manifolds. EDC and RGTC, "Exterior Differential Calculus" and "Riemannian Geometry & Tensor Calculus," are free Mathematica
Tensor_software
Field of mathematics
finite difference methods, finite element methods, and the modeling of differential equations. Noting the broad applications of numerical linear algebra
Numerical_linear_algebra
Branch of mathematics
superstring theory predicts that the extra 6 dimensions of 10 dimensional spacetime may be modelled by Calabi–Yau manifolds. Discrete geometry is a subject
Geometry
Fringe hypothesis
reduction. He suggested each quantum superposition has its own piece of spacetime curvature and that when these become separated by more than one Planck
Quantum_mind
Theory of stochastic partial differential equations
of dynamical systems theory, topological field theories, stochastic differential equations (SDE), and the theory of pseudo-Hermitian operators. It can
Supersymmetric theory of stochastic dynamics
Supersymmetric_theory_of_stochastic_dynamics
Symmetry between bosons and fermions
supersymmetric theories exist. In theory, supersymmetry is a type of spacetime symmetry between two basic classes of particles: bosons, which have an
Supersymmetry
involving Dirac type operators. In Clifford analysis one also considers differential operators on upper half space, the disc, or hyperbola with respect to
Clifford_analysis
Organization
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
International Council for Industrial and Applied Mathematics
International_Council_for_Industrial_and_Applied_Mathematics
Branch of mathematics
Evolutionary algorithms (e.g., genetic algorithms and evolution strategies) Differential evolution, a method that optimizes a problem by iteratively trying to
Global_optimization
Academic association dedicated to the use of mathematics in industry
later. Current Activity Groups: Algebraic Geometry Analysis of Partial Differential Equations Applied and Computational Discrete Algorithms Applied Mathematics
Society for Industrial and Applied Mathematics
Society_for_Industrial_and_Applied_Mathematics
Interdisciplinary field of research
groups by constructing a model consisting of a deterministic system of differential equations. A formal study of the system led to theorems about the dynamics
Mathematical_sociology
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
List of arbitrary-precision arithmetic software
List_of_arbitrary-precision_arithmetic_software
Algebraic structure used in theoretical physics
commonly seen in conventional mathematical settings, such as differential geometry and differential topology. The other convention is to take x y ↦ ( − 1 )
Superalgebra
Branch of physics
Maxwell's equations can be formulated as a hyperbolic system of partial differential equations. This gives access to powerful techniques for numerical solutions
Computational electromagnetics
Computational_electromagnetics
In physics and geometry: conjectured relation between pairs of Calabi–Yau manifolds
one says that spacetime is four-dimensional. One of the peculiar features of string theory is that it requires extra dimensions of spacetime for its mathematical
Mirror symmetry (string theory)
Mirror_symmetry_(string_theory)
packages that implement the finite element method for solving partial differential equations. This table is contributed by a FEA-compare project, which
List of finite element software packages
List_of_finite_element_software_packages
extension fully integrated into SageMath, to be used as a package for differential geometry and tensor calculus. The official page for the project is sagemanifolds
Sage_Manifolds
Calculus of functions of several variables
continuity. Directional limits and derivatives define the limit and differential along a 1D parametrized curve, reducing the problem to the 1D case. Further
Multivariable_calculus
Study of rational collective decision-making
and their properties. The Journal of Economic Literature classification codes place Social Choice under Microeconomics at JEL D71 (with Clubs, Committees
Social_choice_theory
Physics-mathematics connection
system (neglecting general relativity effects, or in other words, in flat spacetime). Representations of the Poincaré group are in many cases characterized
Particle physics and representation theory
Particle_physics_and_representation_theory
Foundational law of classical magnetism
elaborated below.) Gauss's law for magnetism can be written in two forms, a differential form and an integral form. These forms are equivalent due to the divergence
Gauss's_law_for_magnetism
Overview of mechanics based on the least action principle
or a star system—a mathematical model is developed in the form of a differential equation. The model can be solved numerically or analytically to determine
Analytical_mechanics
Japanese counterpart of the Society for Industrial and Applied Mathematics
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Japan Society for Industrial and Applied Mathematics
Japan_Society_for_Industrial_and_Applied_Mathematics
platform that supports Qt) Proofs: No Extra: Editable Live Geometry is a free CodePlex project that lets you create interactive ruler and compass constructions
List of interactive geometry software
List_of_interactive_geometry_software
French scientific society aiming at promoting applied mathematics
algebra Differential equations Ordinary differential equations Partial differential equations Stochastic differential equations Differential geometry
Société de Mathématiques Appliquées et Industrielles
Société_de_Mathématiques_Appliquées_et_Industrielles
Quantum mechanics with supersymmetry
Coulomb potential into the Schrödinger equation. Following use of multiple differential equations, the analysis produces a recursion relation for the Laguerre
Supersymmetric quantum mechanics
Supersymmetric_quantum_mechanics
American satellite-based radio navigation service
user's GPS receiver can calculate its own four-dimensional position in spacetime; However, at a minimum, four satellites must be in view of the receiver
Global_Positioning_System
Aspects of fluid mechanics involving fluid flow
governing equations are derived in Riemannian geometry for Minkowski spacetime. This branch of fluid dynamics augments the standard hydrodynamic equations
Fluid_dynamics
is a rare case, but it tells us that when we want to strictly discuss differential equations, numerical solutions must be verified. The following examples
Validated_numerics
Theory of quantum gravity merging quantum mechanics and general relativity
should include topology change as a dynamical process.[citation needed] Spacetime as a "container" over which physics takes place has no objective physical
Loop_quantum_gravity
Field of knowledge
these concepts. In particular, spacetime of special relativity is a non-Euclidean space of dimension four, and spacetime of general relativity is a (curved)
Mathematics
exceptional algebraic phenomena. For example, bosonic string theory requires a spacetime of dimension 26 which is directly related to the presence of 24 in the
Exceptional_object
40840-233 5.70 Voyager is trapped in orbit about a planet with a spacetime differential such that, while its inhabitants live through years, Voyager experiences
List of Star Trek: Voyager episodes
List_of_Star_Trek:_Voyager_episodes
Physics experiment
Mathias; Fort, Emmanuel (November 2016). "Time reversal and holography with spacetime transformations". Nature Physics. 12 (10): 972–977. arXiv:1510.01277.
Double-slit_experiment
Hungarian and American mathematician and physicist (1903–1957)
problems in the newly created quantum field theory and for quantizing spacetime; however, both his colleagues and he did not consider the ideas fruitful
John_von_Neumann
heat death of the universe may render life impossible. The expansion of spacetime could cause the destruction of all matter in a Big Rip scenario. If our
Global_catastrophe_scenarios
German polymath (1646–1716)
Philosophy. London: Routledge, 1991. Rickles, Dean. Symmetry, Structure and Spacetime. Oxford: Elsevier, 2008. Arthur (2014), p. 56. Ariew & Garber (1989),
Gottfried_Wilhelm_Leibniz
Set with associative invertible operation
physics. The Poincaré group is a Lie group consisting of the symmetries of spacetime in special relativity. Point groups describe symmetry in molecular chemistry
Group_(mathematics)
Measure of a civilization's evolution
manipulating one's environment, while the latter allows for the modification of spacetime. Zoltan Galántai recognizes the important role that Kardashev's classification
Kardashev_scale
Calculation technique
1016/j.cpc.2014.04.013. Rogers, Adam (October 23, 2014). "Wrinkles In Spacetime: The Warped Astrophysics of Interstellar". Wired. Archived from the original
Ray_tracing_(physics)
Description of physical properties at the atomic and subatomic scale
describes quantum properties of gravity and is thus a theory of quantum spacetime. LQG is an attempt to merge and adapt standard quantum mechanics and standard
Quantum_mechanics
Theory in neurology
optimally. But biological systems face an open and unpredictable arena of spacetime events of which they have no foreknowledge of. In this arena, redundancy
Neural_Darwinism
Number with a real and an imaginary part
relativity, some formulas for the metric on spacetime become simpler if one takes the time component of the spacetime continuum to be imaginary. (This approach
Complex_number
French mathematician and physicist (1781–1840)
mathematician and physicist who worked on statistics, complex analysis, partial differential equations, the calculus of variations, analytical mechanics, electricity
Siméon_Denis_Poisson
DIFFERENTIAL SPACETIME-CODE
DIFFERENTIAL SPACETIME-CODE
Girl/Female
Tamil
Code
Boy/Male
American, Anglo, Australian, British, English, Irish
Cushion; Helpful; Pillow
Boy/Male
Irish
From the Latin patricius “â€nobly born.â€â€ The patron saint of Ireland, it is hard to differentiate between fact and myth. What is probably true is that he was born in Britain around 373 AD and was brought to Ireland as a slave at the age of seven, possibly by Niall of the Nine Hostages (read the legend). Forced to guard sheep on the Slemish Mountains in Country Antrim for six years he had a vision urging him to convert his captors. He escaped to France where he trained as a priest before returning to Ireland where he banished the snakes (i.e. paganism) and converted the population to Christianity. Both Patrick and Padraig are very popular names in Ireland.
Surname or Lastname
English
English : occupational name for a watchman or guard, from Old English weard ‘guard’ (used as both an agent noun and an abstract noun).Irish : reduced form of McWard, an Anglicized form of Gaelic Mac an Bhaird ‘son of the poet’. The surname occurs throughout Ireland, where three different branches of the family are known as professional poets.Surname adopted by bearers of the Jewish surname Warshawski, Warshawsky or some other Jewish name bearing some similarity to the English name.Americanized form of French Guerin.The surname Ward was brought to North America from England independently by several different bearers in the 17th and 18th centuries. Nathaniel Ward (1578–1652), author of the MA legal code, was born in Haverhill, Suffolk, England, and emigrated to Agawam (Ipswich, MA) in 1633. William Ward was one of the original settlers of Sudbury, MA, in about 1638. Miles Ward came from England to Salem, MA, in about 1639. Thomas Ward (d. 1689) settled in Newport, RI, in 1671; among his descendants were two governors of colonial RI.
Boy/Male
Irish
From the Latin patricius “â€nobly born.â€â€ The patron saint of Ireland, it is hard to differentiate between fact and myth. What is probably true is that he was born in Britain around 373 AD and was brought to Ireland as a slave at the age of seven, possibly by Niall of the Nine Hostages (read the legend). Forced to guard sheep on the Slemish Mountains in Country Antrim for six years he had a vision urging him to convert his captors. He escaped to France where he trained as a priest before returning to Ireland where he banished the snakes (i.e. paganism) and converted the population to Christianity. Both Patrick and Padraig are very popular names in Ireland.
Female
Japanese
(1-儀, 2-典, 3-則, 4-法) Japanese unisex name NORI means 1) "ceremony, regalia," 2) "code, precedent," 3) "model, rule, standard," 4) "law, rule."
Surname or Lastname
English
English : variant spelling of Coad.
Boy/Male
Arabic, Muslim
Rockstar
Surname or Lastname
English (chiefly Kent and Sussex)
English (chiefly Kent and Sussex) : occupational name for a designer or engineer, from a Middle English reduced form of Old French engineor ‘contriver’ (a derivative of engaigne ‘cunning’, ‘ingenuity’, ‘stratagem’, ‘device’). Engineers in the Middle Ages were primarily designers and builders of military machines, although in peacetime they might turn their hands to architecture and other more pacific functions.German : from the Latin personal name Januarius (see January 1). Jänner is a South German word for ‘January’, and so it is possible that this is one of the surnames acquired from words denoting months of the year, for example by converts who had been baptized in that month, people who were born or baptized in that month, or people whose taxes were due in January.
Girl/Female
American, Australian, British, English, Irish
Cushion; Helpful
Boy/Male
Irish American English
Helpful.
Girl/Female
Hindu
Code
Boy/Male
American, British, English, Irish
Helpful
Surname or Lastname
English
English : nickname for a person who insisted on a strict code of social behavior.German : topographic name for someone who lived on or by a hill, from Middle High German stickel ‘hill’, ‘slope’ + the suffix -er denoting an inhabitant; in the south an occupational name for someone who shapes and sets stakes in vineyards.
Boy/Male
Afghan, Arabic, Muslim, Pashtun
One who can Differentiate; Comely; One who Distinguishes Truth from Falsehood
DIFFERENTIAL SPACETIME-CODE
DIFFERENTIAL SPACETIME-CODE
Boy/Male
Greek
Hyacinth.
Girl/Female
Hindu
Honest, Night
Surname or Lastname
English
English : from Anglo-Norman French cropere ‘crupper’, the part of a horse’s saddlery that passes from the tail to the back of the saddle or collar, hence a metonymic occupational name for a maker of cruppers and other harness.
Girl/Female
Gujarati, Hindu, Indian, Kannada, Marathi, Tamil, Telugu
Goddess of Knowledge and Education; Goddess Saraswati; Indian Women
Girl/Female
Tamil
Thirst
Boy/Male
Hindu, Indian
Attempt
Girl/Female
American, British, English
Little Bird
Boy/Male
English Latin
Strong.; the name of more than 50 saints and three Roman emperors.
Girl/Female
Muslim
Light.
Surname or Lastname
English
English : probably connected with Rapley Farm in Berkshire, although it is not clear whether the surname is derived from the farm name or vice versa.Altered spelling of the Swiss family name Räpple (see Rappleye).
DIFFERENTIAL SPACETIME-CODE
DIFFERENTIAL SPACETIME-CODE
DIFFERENTIAL SPACETIME-CODE
DIFFERENTIAL SPACETIME-CODE
DIFFERENTIAL SPACETIME-CODE
v. i.
To acquire a distinct and separate character.
a.
Relating to or indicating a difference; creating a difference; discriminating; special; as, differential characteristics; differential duties; a differential rate.
v. t.
To express the specific difference of; to describe the properties of (a thing) whereby it is differenced from another of the same class; to discriminate.
a.
Ready to obey; reverent; differential; also, servilely submissive.
a.
Of or pertaining to a differential, or to differentials.
adv.
In the way of differentiation.
n.
The formal or distinguishing part of the essence of a species; the characteristic attribute of a species; specific difference.
n.
One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produces polar action contrary to that of the other.
a.
That deduces; inferential.
pl.
of Differentia
v. t.
To define or limit by adding a differentia.
v. t.
To distinguish or mark by a specific difference; to effect a difference in, as regards classification; to develop differential characteristics in; to specialize; to desynonymize.
v. t.
A determining feature; a distinguishing characteristic; a differentia.
v. t.
To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation.
a.
Relating to differences of motion or leverage; producing effects by such differences; said of mechanism.
n.
A small difference in rates which competing railroad lines, in establishing a common tariff, allow one of their number to make, in order to get a fair share of the business. The lower rate is called a differential rate. Differentials are also sometimes granted to cities.
n.
An expression which, being differentiated, will produce a given differential. See differential Differential, and Integration. Cf. Fluent.
n.
A form of conductor used for dividing and distributing the current to a series of electric lamps so as to maintain equal action in all.
n.
A characteristic or essential attribute; a differential.
n.
An increment, usually an indefinitely small one, which is given to a variable quantity.