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stabilized output characteristic
Physics
1
A forced characteristic with an output quantity which is stabilized with respect to changes of influence quantities.
stabilized voltage characteristic
Physics
1
A characteristic with a stabilized output voltage.
stabilization
Physics
1
In the field of power electronics the reduction of the effect of changes of influence quantities on the output quantity.
stabilized power supply
Physics
1
In the field of power electronics an equipment which takes electrical energy from a source and supplies it stabilized by means inside the equipment to one or more pairs of output terminals.
stage
Physics
1
A part of a series connection of two or more converter connections consisting of one or more parallel connected converter connections.
steady-state condition
Physics
1
Thermal equilibrium attained by the capacitor at constant output and at constant cooling-air temperature.
symmetrical phase control
Physics
1
Phase control with equal delay angles in all principal arms of a fully controllable converter connection or commutating group.
switched valve device
Physics
1
A controllable valve device which may be turned on and off by a control signal.
tangent of the loss angle (tanδ) of a capacitor
Physics
1
The ratio between the equivalent series resistance and the capacitive reactance of a capacitor at specified sinusoidal alternating voltage and frequency.
threshold voltage
Physics
1
The value of the voltage obtained at the intersection of the voltage axis and the straight line approximation of the on-state characteristic of an electronic valve device.
transfer factor
Physics
1
The ratio of the voltage on the load side and the voltage on the source side.
transition current
Physics
1
The mean direct current of a converter connection when the direct current(s) of the commutation group(s) become(s) intermittent when decreasing the current.
trigger advance angle
Physics
1
The time expressed in angular measure by which the trigger pulse is advanced with respect to the reference instant.
trigger delay angle
Physics
1
The time expressed in angular measure by which the trigger pulse is delayed with respect to the reference instant in the case of phase control.
triggering
Physics
1
The control action to achieve firing of a latching valve device or an arm consisting of such devices.
tolerance band
Physics
1
With stabilized power supplies the range of steady-state values of a stabilized output quantity lying between specified limits of deviation from a preset value, e.g. a nominal value.
total direct voltage regulation
Physics
1
The direct voltage regulation including the effect of the AC system impedance.
total harmonic distortion thd
Physics
1
The ratio of the rms value of the harmonic content of an alternating quantity to the rms value of the fundamental component of the quantity.
turn-off arm
Physics
1
An auxiliary arm which temporarily takes over the current directly from a conducting valve arm, consisting of one or more latching valve devices which cannot be turned off by a control signal.
two-quadrant converter
Physics
1
An AC/DC or DC converter with two possible directions of DC power flow associated with one direction of direct current and two directions of direct voltage or vice versa.
uniform connection
Physics
1
A connection with either all principal arms controllable or all principal arms non-controllable.
valve device assembly
Physics
1
An electrically and mechanically combined assembly of electronic valve devices or stacks, complete with all its connections and auxiliaries in its own mechanical structure.
valve device blocking
Physics
1
An operation to prevent further turn-on of a controllable valve device or an arm consisting of such devices by inhibiting the control signals.
valve device commutation
Physics
1
A method of self-commutation in which the commutating voltage is created by turning off the conducting electronic valve device by a control signal.
valve device quenching
Physics
1
A method of quenching in which the quenching is performed by the electronic valve device itself.
valve device stack
Physics
1
A single structure of one or more electronic valve devices with its (their) associated mounting(s) and auxiliaries if any.
voltage stiff ac/dc converter
Physics
1
An electronic AC/DC converter having an essentially smooth voltage on the DC side provided e.g. by a low impedance path for the harmonic currents.
voltage source inverter
Physics
1
A voltage stiff inverter.
voltage fed inverter
Physics
1
A voltage stiff inverter.
absolute differential calculus
Physics
1
An older name of Ricci calculus
absolute geometry
Physics
1
Also called neutral geometry, a synthetic geometry similar to Euclidean geometry but without the parallel postulate.
abstract algebra
Physics
1
The part of algebra devoted to the study of algebraic structures in themselves. Occasionally named modern algebra in course titles.
abstract analytic number theory
Physics
1
The study of arithmetic semigroups as a means to extend notions from classical analytic number theory.
abstract differential geometry
Physics
1
A form of differential geometry without the notion of smoothness from calculus. Instead it is built using sheaf theory and sheaf cohomology.
abstract harmonic analysis
Physics
1
A modern branch of harmonic analysis that extends upon the generalized Fourier transforms that can be defined on locally compact groups.
abstract homotopy theory
Physics
1
A part of topology that deals with homotopic functions, i.e. functions from one topological space to another which are homotopic (the functions can be deformed into one another).
actuarial science
Physics
1
The discipline that applies mathematical and statistical methods to assess risk in insurance, finance and other industries and professions. More generally, actuaries apply rigorous mathematics to model matters of uncertainty.
additive combinatorics
Physics
1
The part of arithmetic combinatorics devoted to the operations of addition and subtraction.
additive number theory
Physics
1
A part of number theory that studies subsets of integers and their behaviour under addition.
affine geometry
Physics
1
A branch of geometry that deals with properties that are independent from distances and angles, such as alignment and parallelism.
affine geometry of curves
Physics
1
The study of curve properties that are invariant under affine transformations.
affine differential geometry
Physics
1
A type of differential geometry dedicated to differential invariants under volume-preserving affine transformations.
ahlfors theory
Physics
1
A part of complex analysis being the geometric counterpart of Nevanlinna theory. It was invented by Lars Ahlfors.
algebra
Physics
1
One of the major areas of mathematics. Roughly speaking, it is the art of manipulating and computing with operations acting on symbols called variables that represent indeterminate numbers or other mathematical objects, such as vectors, matrices, or elements of algebraic structures.
algebraic analysis
Physics
1
motivated by systems of linear partial differential equations, it is a branch of algebraic geometry and algebraic topology that uses methods from sheaf theory and complex analysis, to study the properties and generalizations of functions. It was started by Mikio Sato.
algebraic combinatorics
Physics
1
an area that employs methods of abstract algebra to problems of combinatorics. It also refers to the application of methods from combinatorics to problems in abstract algebra.
algebraic computation
Physics
1
An older name of computer algebra.
algebraic geometry
Physics
1
a branch that combines techniques from abstract algebra with the language and problems of geometry. Fundamentally, it studies algebraic varieties.
algebraic graph theory
Physics
1
a branch of graph theory in which methods are taken from algebra and employed to problems about graphs. The methods are commonly taken from group theory and linear algebra.
algebraic k-theory
Physics
1
an important part of homological algebra concerned with defining and applying a certain sequence of functors from rings to abelian groups.
algebraic number theory
Physics
1
The part of number theory devoted to the use of algebraic methods, mainly those of commutative algebra, for the study of number fields and their rings of integers.
algebraic statistics
Physics
1
the use of algebra to advance statistics, although the term is sometimes restricted to label the use of algebraic geometry and commutative algebra in statistics.
algebraic topology
Physics
1
a branch that uses tools from abstract algebra for topology to study topological spaces.
algorithmic number theory
Physics
1
also known as computational number theory, it is the study of algorithms for performing number theoretic computations.
anabelian geometry
Physics
1
an area of study based on the theory proposed by Alexander Grothendieck in the 1980s that describes the way a geometric object of an algebraic variety (such as an algebraic fundamental group) can be mapped into another object, without it being an abelian group.
analysis
Physics
1
A wide area of mathematics centered on the study of continuous functions and including such topics as differentiation, integration, limits, and series.
analytic combinatorics
Physics
1
part of enumerative combinatorics where methods of complex analysis are applied to generating functions.
analytic geometry
Physics
1
1. Also known as Cartesian geometry, the study of Euclidean geometry using Cartesian coordinates.
analytic number theory
Physics
1
An area of number theory that applies methods from mathematical analysis to solve problems about integers.
analytic theory of l-functions
Physics
1
a combination of various parts of mathematics that concern a variety of mathematical methods that can be applied to practical and theoretical problems. Typically the methods used are for science, engineering, finance, economics and logistics.
applied mathematics
Physics
1
a combination of various parts of mathematics that concern a variety of mathematical methods that can be applied to practical and theoretical problems. Typically the methods used are for science, engineering, finance, economics and logistics.
approximation theory
Physics
1
part of analysis that studies how well functions can be approximated by simpler ones (such as polynomials or trigonometric polynomials)
arakelov geometry
Physics
1
also known as Arakelov theory
arakelov theory
Physics
1
an approach to Diophantine geometry used to study Diophantine equations in higher dimensions (using techniques from algebraic geometry). It is named after Suren Arakelov.
arithmetic
Physics
1
1. Also known as elementary arithmetic, the methods and rules for computing with addition, subtraction, multiplication and division of numbers.
arithmetic algebraic geometry
Physics
1
See arithmetic geometry.
arithmetic combinatorics
Physics
1
the study of the estimates from combinatorics that are associated with arithmetic operations such as addition, subtraction, multiplication and division.
arithmetic dynamics
Physics
1
Arithmetic dynamics is the study of the number-theoretic properties of integer, rational, p-adic, and/or algebraic points under repeated application of a polynomial or rational function. A fundamental goal is to describe arithmetic properties in terms of underlying geometric structures.
arithmetic geometry
Physics
1
The use of algebraic geometry and more specially scheme theory for solving problems of number theory.
arithmetic topology
Physics
1
a combination of algebraic number theory and topology studying analogies between prime ideals and knots
arithmetical algebraic geometry
Physics
1
Another name for arithmetic algebraic geometry
asymptotic combinatorics
Physics
1
It uses the internal structure of the objects to derive formulas for their generating functions and then complex analysis techniques to get asymptotics.
asymptotic theory
Physics
1
the study of asymptotic expansions
auslander–reiten theory
Physics
1
the study of the representation theory of Artinian rings
axiomatic geometry
Physics
1
also known as synthetic geometry: it is a branch of geometry that uses axioms and logical arguments to draw conclusions as opposed to analytic and algebraic methods.
axiomatic set theory
Physics
1
the study of systems of axioms in a context relevant to set theory and mathematical logic.
bifurcation theory
Physics
1
the study of changes in the qualitative or topological structure of a given family. It is a part of dynamical systems theory
biostatistics
Physics
1
the development and application of statistical methods to a wide range of topics in biology.
birational geometry
Physics
1
a part of algebraic geometry that deals with the geometry (of an algebraic variety) that is dependent only on its function field.
bolyai–lobachevskian geometry
Physics
1
see hyperbolic geometry
c*-algebra theory
Physics
1
a complex algebra A of continuous linear operators on a complex Hilbert space with two additional properties-(i) A is a topologically closed set in the norm topology of operators.(ii)A is closed under the operation of taking adjoints of operators.
cartesian geometry
Physics
1
see analytic geometry
calculus
Physics
1
An area of mathematics connected by the fundamental theorem of calculus.
calculus of infinitesimals
Physics
1
A foundation of calculus, first developed in the 17th century, that makes use of infinitesimal numbers.
calculus of moving surfaces
Physics
1
an extension of the theory of tensor calculus to include deforming manifolds.
calculus of variations
Physics
1
the field dedicated to maximizing or minimizing functionals. It used to be called functional calculus.
catastrophe theory
Physics
1
a branch of bifurcation theory from dynamical systems theory, and also a special case of the more general singularity theory from geometry. It analyses the germs of the catastrophe geometries.
categorical logic
Physics
1
a branch of category theory adjacent to the mathematical logic. It is based on type theory for intuitionistic logics.
category theory
Physics
1
the study of the properties of particular mathematical concepts by formalising them as collections of objects and arrows.
chaos theory
Physics
1
the study of the behaviour of dynamical systems that are highly sensitive to their initial conditions.
character theory
Physics
1
a branch of group theory that studies the characters of group representations or modular representations.
class field theory
Physics
1
a branch of algebraic number theory that studies abelian extensions of number fields.
classical differential geometry
Physics
1
also known as Euclidean differential geometry. see Euclidean differential geometry.
classical algebraic topology
Physics
1
see algebraic topology
classical analysis
Physics
1
usually refers to the more traditional topics of analysis such as real analysis and complex analysis. It includes any work that does not use techniques from functional analysis and is sometimes called hard analysis. However it may also refer to mathematical analysis done according to the principles of classical mathematics.
classical analytic number theory
Physics
1
see Euclidean geometry
classical differential calculus
Physics
1
see Euclidean geometry
classical diophantine geometry
Physics
1
see Euclidean geometry
classical euclidean geometry
Physics
1
see Euclidean geometry
classical geometry
Physics
1
may refer to solid geometry or classical Euclidean geometry. See geometry