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Fundamental principle of physics
The superposition principle, also known as superposition property, states that, for all linear systems, the net response caused by two or more stimuli
Superposition_principle
Principle of quantum mechanics
Quantum superposition is a fundamental principle of quantum mechanics that states that linear combinations of solutions to the Schrödinger equation are
Quantum_superposition
Law stating that newer strata stack above older ones
The law of superposition is a principle that forms one of the bases of the sciences of geology, paleontology, and other fields pertaining to geological
Law_of_superposition
Concept in polymer physics
time–temperature superposition principle is a concept in polymer physics and in the physics of glass-forming liquids. This superposition principle is used to
Time–temperature superposition
Time–temperature_superposition
Theorem in electrical circuit analysis
general formulation than had previously been published of the superposition principle, which he expressed as follows: If any system of conductors contains
Thévenin's_theorem
Rule, guide or inevitable consequence
the uncertainty principle in quantum mechanics and the pigeonhole principle and superposition principle in mathematics. The principle states that every
Principle
Physical field surrounding an electric charge
linearity of Maxwell's equations, electric fields satisfy the superposition principle, which states that the total electric field, at a point, due to
Electric_field
Foundational principle in quantum physics
uncertainty principle Quantum indeterminacy – Apparent lack of definite state before measurement of quantum systems Quantum superposition – Principle of quantum
Uncertainty_principle
Moving wave that has oscillations perpendicular to the direction of the wave
oscillations (vibrations in a material or light flows) can be described as the superposition of many simple sinusoidal waves, either transverse or longitudinal.
Transverse_wave
Type of differential equation
processing to understanding a filter by its impulse response. The superposition principle applies to any linear system, including linear systems of PDEs
Partial_differential_equation
Physical system satisfying the superposition principle
description. A system is linear if and only if it satisfies the superposition principle, or equivalently both the additivity and homogeneity properties
Linear_system
Concept in geology
succession Index fossil Law of superposition Principle of cross-cutting relationships Principle of lateral continuity Principle of original horizontality History
Principle of faunal succession
Principle_of_faunal_succession
Natural processes removing soil and rock
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Erosion
Mathematical description of quantum state
Ψ (lower-case and capital psi, respectively). According to the superposition principle of quantum mechanics, wave functions can be added together and
Wave_function
System where changes of output are not proportional to changes of input
which satisfies both of the following properties: Additivity or superposition principle: f ( x + y ) = f ( x ) + f ( y ) ; {\displaystyle \textstyle f(x+y)=f(x)+f(y);}
Nonlinear_system
Control theory for nonlinear or time-variant systems
control theory applies to systems made of devices which obey the superposition principle. They are governed by linear differential equations. A major subclass
Nonlinear_control
Method of solution to differential equations
convolution, y = ( G ∗ f ) . {\displaystyle y=(G\ast f).} By the superposition principle, given a linear ordinary differential equation (ODE), L y = f {\displaystyle
Green's_function
Properties of mathematical relationships
being compatible with addition and scaling, also known as the superposition principle. Linearity of a polynomial means that its degree is less than two
Linearity
Integral expressing the amount of overlap of one function as it is shifted over another
occurred. In physics, wherever there is a linear system with a "superposition principle", a convolution operation makes an appearance. For instance, in
Convolution
Equation in time–temperature superposition
consequence of time–temperature superposition (TTSP), which mathematically is an application of Boltzmann's superposition principle. It is TTSP, not WLF, that
Williams–Landel–Ferry equation
Williams–Landel–Ferry_equation
Quantum mechanics principle
In quantum mechanics, the Pauli exclusion principle states that two or more identical particles with half-integer spins (i.e., fermions) cannot simultaneously
Pauli_exclusion_principle
Electronic circuits obeying the superposition principle
A linear circuit is an electronic circuit which obeys the superposition principle. This means that the output of the circuit F(x) when a linear combination
Linear_circuit
Topics referred to by the same term
a linear combination in mathematics. It can also refer to: The superposition principle of linear differential equations (LDEs), that a linear combination
Superposition (disambiguation)
Superposition_(disambiguation)
Mathematical model which is both linear and time-invariant
{\displaystyle x'(t)} . The latter condition is often referred to as the superposition principle. Time invariance means that whether we apply an input to the system
Linear_time-invariant_system
Branch of physics that studies light
Young's famous double slit experiment showed that light followed the superposition principle, which is a wave-like property not predicted by Newton's corpuscle
Optics
Layers of sediment are deposited approximately horizontally under the action of gravity
structural geology. Law of superposition Principle of cross-cutting relationships Principle of faunal succession Principle of lateral continuity The Wikibook
Principle of original horizontality
Principle_of_original_horizontality
Description of physical properties at the atomic and subatomic scale
{\mathcal {H}}_{AB}} can be written in this form, however, because the superposition principle implies that linear combinations of these "separable" or "product
Quantum_mechanics
Method of analysis applied to problems wave propagation
k times the distance traveled. Using Huygens's theory and the principle of superposition of waves, the complex amplitude at a further point P is found
Huygens–Fresnel_principle
Degree to which part of a structural element is displaced under a given load
with a combination of simple loads can be calculated using the superposition principle. The change in length Δ L {\displaystyle \Delta L} of the beam
Deflection_(engineering)
Swiss mathematician and physicist (1700–1782)
equation. Bernoulli's principle is of critical use in hydrodynamics. According to Léon Brillouin, the principle of superposition was first stated by Daniel
Daniel_Bernoulli
Fundamental physical law of electromagnetism
in addition, that the electric field obeys the superposition principle. The superposition principle states that the resulting field is the vector sum
Coulomb's_law
Dimensionless number in rheology
useful in conceptualizing the time–temperature superposition principle. Time-temperature superposition has to do with altering experimental time scales
Deborah_number
additive state decomposition is the superposition principle, widely used in physics and engineering. The superposition principle states: For all linear systems
Additive_state_decomposition
Branch of engineering and mathematics
theory – This applies to systems made of devices which obey the superposition principle, which means roughly that the output is proportional to the input
Control_theory
Deterioration of rocks and minerals through exposure to the elements
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Weathering
Interpretation of quantum mechanics
crucially on the linearity of quantum mechanics, which underpins the superposition principle. If the final theory of everything is non-linear with respect to
Many-worlds_interpretation
Law of classical electromagnetism
that point. The application of this law implicitly relies on the superposition principle for magnetic fields, i.e. the fact that the magnetic field is a
Biot–Savart_law
response function can be derived from the chosen one. The Boltzmann superposition principle states that every stress applied at a different time deforms the
Anelasticity
Foundational law of electromagnetism relating electric field and charge distributions
in addition, that the electric field obeys the superposition principle. The superposition principle states that the resulting field is the vector sum
Gauss's_law
Concept in quantum mechanics
measured, a change which is not time-reversible. More explicitly, the superposition principle (ψ = Σnanψn) of quantum physics dictates that for a wave function
Observer_(quantum_physics)
Differential equation for the description of waves or standing wave
two solutions is again a solution. This property is called the superposition principle in physics. The wave equation alone does not specify a physical
Wave_equation
Thought experiment in quantum mechanics
mechanics, Schrödinger's cat is a thought experiment concerning quantum superposition. In the thought experiment, a hypothetical cat inside a closed box may
Schrödinger's_cat
Naturally occurring mineral aggregate
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Rock_(geology)
Science that applies chemistry to analyze geological systems
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Geochemistry
Principle in theoretical physics
The holographic principle is a property of string theories and a supposed property of quantum gravity that states that the description of a volume of
Holographic_principle
Dynamic disturbance in a medium or field
the field quantities describing those waves add according to the superposition principle. If the waves are of the same frequency in a fixed phase relationship
Wave
Downward vertical movement of the Earth's surface
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Subsidence
Common configuration for optical interferometry
the beamsplitter which then combines their amplitudes using the superposition principle. The resulting interference pattern that is not directed back toward
Michelson_interferometer
Space that is empty of matter
speed of light, the defined value 299,792,458 m/s in SI units. The superposition principle is always exactly true. For example, the electric potential generated
Vacuum
Influence that can change motion of an object
independent of the mass of the charged objects, and followed the superposition principle. Coulomb's law unifies all these observations into one succinct
Force
Response if an optical system to a point source of light
of the images of these impulse functions. This is known as the superposition principle, valid for linear systems. The images of the individual object-plane
Point_spread_function
Statement based on repeated empirical observations that describes some natural phenomenon
law Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Scientific_law
Signal processing technique
communications circuits are designed to be linear. This means they obey the superposition principle; if F ( v ) {\displaystyle \ F(v)\ } is the output of a linear
Heterodyne
Strata Identified by Fossils, 1816–1819. Smith's first law is the Principle of Superposition. This states that newer rock beds will lie on top of older rock
Smith's_laws
Reversible transition in amorphous materials
dealing with glasses, a fact often expressed in the time–temperature superposition principle. On cooling a liquid, internal degrees of freedom successively
Glass_transition
Movement of Earth's lithosphere
at different times depending on its temperature and pressure. The key principle of plate tectonics is that the lithosphere exists as separate and distinct
Plate_tectonics
Study of still or slow electric charges
contributions due to individual source particles is an example of the superposition principle. The electric field produced by a distribution of charges is given
Electrostatics
Feature of a transverse wave
wave is the undisturbed line having zero amplitude. Crest factor Superposition principle Wave Kinsman, Blair (1984), Wind Waves: Their Generation and Propagation
Crest_and_trough
Laws in physics about force and motion
idea that forces add like vectors (or in other words obey the superposition principle), and the idea that forces change the energy of a body, have both
Newton's_laws_of_motion
Branch of physics
intense, laser sources must be used. In nonlinear optics, the superposition principle no longer holds, and the polarization of the material is no longer
Nonlinear_optics
History of research by Augustin-Jean Fresnel
found in modern textbooks. He restated Huygens's principle in combination with the superposition principle, saying that the vibration at each point on a
Fresnel's_physical_optics
Scientific study of Earth's physical composition
under the action of gravity Principle of superposition – Law stating that newer strata stack above older ones Principle of faunal succession – Concept
Outline_of_geology
Energy scale at which vacuum effects become important
perfectly linear differential equations. This implies – by the superposition principle – that the sum of any two solutions to Maxwell's equations is another
Schwinger_limit
Skeletonized version of algebraic geometry
ISBN 978-3-540-09113-4 and references therein. Maslov, Victor (1987). "On a new superposition principle for optimization problems". Russian Mathematical Surveys. 42 (3):
Tropical_geometry
Method of analysis of unbalanced three-phase power systems
Fortescue's theorem (symmetrical components) is based on the superposition principle, so it is applicable to linear power systems only, or to linear
Symmetrical_components
Advanced method of process control
predictive controllers that consist only of linear models, the superposition principle of linear algebra enables the effect of changes in multiple independent
Model_predictive_control
Geological study of planets
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Planetary_geology
Study of rock layers and their formation
stratigraphy such as Principle of original horizontality, Law of superposition, Cross-cutting relationships, Principle of inclusions, Principle of faunal succession
Stratigraphy
Possible solution to the measurement problem
quantum mechanics, because of the superposition principle, the system can be placed (at least in principle) in a superposition of two well-localized states
Diósi–Penrose_model
South Korean standardised test
Phonology, syntax and morphology involves the patternised principle and exceptional principle. Dialect of Korean and Jeju Language usually deal with Korean
College Scholastic Ability Test
College_Scholastic_Ability_Test
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Glossary_of_geology
Clasts in a rock are older than the rock formation
into a younger one. This is a restatement of Charles Lyell's original principle of inclusions and components from his 1830 to 1833 multi-volume Principles
Law_of_included_fragments
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Mining_geology
Algebraic equation on which the solution of a differential equation depends
x)+xe^{x}(c_{4}\cos x+c_{5}\sin x)} with constants c1, ..., c5. The superposition principle for linear homogeneous says that if u1, ..., un are n linearly
Characteristic equation (calculus)
Characteristic_equation_(calculus)
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
History_of_geology
Rotating circular machine part with teeth that mesh with another toothed part
Engineering portal Gear box Sprocket Chain reaction Differential Superposition principle Kinematic chain "Definition of "gear" sense (6a)". Merriam-Webster
Gear
Geological theory applied to warfare
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Military_geology
Formulation of quantum mechanics
energy, and the general relation is consistent with that plus the superposition principle. The Hamiltonian in classical mechanics is derived from a Lagrangian
Path-integral_formulation
Fractal constructible with L-systems
any linear combination of the solutions will, because of the superposition principle, also obey the original equation. In other words, new solutions
Dragon_curve
Electrically insulating substance able to be polarised by an applied electric field
of the figure. This can be reduced to a simple dipole using the superposition principle. A dipole is characterised by its dipole moment, a vector quantity
Dielectric
Measure used in radio engineering and telecommunications
convention obtains the same result for Vactual. According to the superposition principle the net voltage present at any point x on the transmission line
Standing_wave_ratio
Chronological list of notable events in the history of the science of geology
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Timeline_of_geology
Elapsed fraction of a cycle of a periodic function
microphone. This is usually the case in linear systems, when the superposition principle holds. For arguments t {\displaystyle t} when the phase difference
Phase_(waves)
Body of rock with specified characteristic
The Wikibook Historical Geology has a page on the topic of: Walther's principle Reading, H. G. (1996). Sedimentary Environments and Facies. Blackwell
Facies
Scientific study of Earth's physical composition
(1638–1686) is credited with the law of superposition, the principle of original horizontality, and the principle of lateral continuity: three defining
Geology
Velocity at which the overall shape of a wave's amplitudes propagates
\alpha (x,0)=\int _{-\infty }^{\infty }dk\,A(k)e^{ikx}.} By the superposition principle, the wavepacket at any time t is α ( x , t ) = ∫ − ∞ ∞ d k A (
Group_velocity
Measurement technique
visible-wavelength light (white light). Interferometry makes use of the wave superposition principle to combine waves in a way that will cause the result of their combination
White_light_interferometry
Physical magneto-optical phenomenon
be seen as consisting of the superposition of a right- and a left- circularly polarized beam (this superposition principle is fundamental in many branches
Faraday_effect
Sub-field in optics consisting of lenses and mirrors
enters a lens, it will still be red when it exits the lens. The superposition principle is valid for linear-optical systems. For example, if a mirror transforms
Linear_optics
Claim that human mathematicians are not describable as formal proof systems
of the eigenstates of the system, a phenomenon described by the superposition principle. When a quantum system interacts with a classical system—i.e. when
Penrose–Lucas_argument
Science concerned with earth materials of economic value
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Economic_geology
Austrian quantum physicist (born 1945)
Zeilinger (1 August 1993). "Multiparticle Interferometry and the Superposition Principle". Physics Today. 46 (8): 22. Bibcode:1993PhT....46h..22G. doi:10
Anton_Zeilinger
Determining the relative order of past events
in paleontology and is, in some respects, more accurate. The Law of Superposition, which states that older layers will be deeper in a site than more recent
Relative_dating
Short "burst" or "envelope" of restricted wave action that travels as a unit
wave equation for a quantum harmonic oscillator, introduced the superposition principle, and used it to show that a compact state could persist. While
Wave_packet
Concept in quantum optics
arrives as an electromagnetic wave and interferes owing to the superposition principle. The quantum description is not as straightforward. To understand
Higher_order_coherence
Mathematical model of the time dependence of a point in space
systems is also simplified and possible because they satisfy a superposition principle: if u(t) and w(t) satisfy a linear differential equation that describe
Dynamical_system
Geology as a set of interacting processes
principles Principle of original horizontality Law of superposition Principle of lateral continuity Principle of cross-cutting relationships Principle of faunal
Systems_geology
Wave equations respecting special and general relativity
present. The following equations have solutions which satisfy the superposition principle, that is, the wave functions are additive. Throughout, the standard
Relativistic_wave_equations
Model describing the departures from ideality in solutions of electrolytes and plasmas
ψ(r) and this introduces a serious difficulty in terms of the superposition principle. Nevertheless, the two equations can be combined to produce the
Debye–Hückel_theory
Calculation of structural loads
solutions can under certain conditions be superimposed using the superposition principle to analyze a member undergoing combined loading. Solutions for
Structural_analysis
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