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In extremal graph theory, given a graph H {\displaystyle H} , a graph G {\displaystyle G} is said to be H {\displaystyle H} -saturated if G {\displaystyle
Saturation_(graph_theory)
Topics referred to by the same term
logic Saturation arithmetic, in arithmetic, a version of arithmetic in which all operations are limited to fixed range Saturation (graph theory), a categorization
Saturation
Methodic assignment of colors to elements of a graph
In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain
Graph_coloring
Graph data structure
backtracking), e-graphs are extended to produce proof certificates. E-graphs are also used in the Simplify theorem prover of ESC/Java. Equality saturation is used
E-graph
Feature of some magnetic materials
of the curve (see graph at right). As the H field increases, the B field approaches a maximum value asymptotically, the saturation level for the substance
Saturation_(magnetic)
In graph theory, a fan graph (also called a path-fan graph) is a graph formed by the join of a path graph and an empty graph on a single vertex. The fan
Fan_graph
Pressure exerted by a vapor in thermodynamic equilibrium
surface" (emphasis added). The still-current term saturation vapor pressure derives from the obsolete theory that water vapor dissolves into air, and that
Vapor_pressure
When a product reaches peak demand and sales struggle to grow further
economics, market saturation is a situation in which a product has become diffused (distributed) within a market; the actual level of saturation can depend on
Market_saturation
Describes the process in which water vapor condenses and forms liquid cloud drops
Meteorology in the Uppsala University. The Köhler equation relates the saturation ratio S {\displaystyle S} over an aqueous solution droplet of fixed dry
Köhler_theory
Lagged effect of advertising on behavior
Adstock Analysis. For example, for the ad copy in the above graph, advertising saturation is achieved above 110 GRPs per week. Adstock can be transformed
Advertising_adstock
Theorem in extremal graph theory
extremal graph theory, the Erdős–Stone theorem is an asymptotic result generalising Turán's theorem to bound the number of edges in an H-free graph for a
Erdős–Stone_theorem
Model for mathematical theories
and parameters used to define the type. Both the theory of Q and the theory of the countable random graph can be shown to be ω-categorical through the back-and-forth
Saturated_model
Curve describing how household income varies with household expenditure
the Engel curve in case of necessities. Panel (a) is an undifferentiated graph representing consumers' preferences for goods X and Y. The three parallel
Engel_curve
Representation of moisture adsorption
pressure of the gas just over the sample, divided by its partial pressure at saturation. More modern isotherms showing the sorption of water vapor, on the vertical
Moisture_sorption_isotherm
Study of gas-vapor mixtures
(RH) from the psychrometric chart appropriate to the air pressure. The saturation temperature of the moisture present in the sample of air, it can also
Psychrometrics
Scale-free network generation algorithm
they have power-law (or scale-free) degree distributions, while random graph models such as the Erdős–Rényi (ER) model and the Watts–Strogatz (WS) model
Barabási–Albert_model
Graph relating temperature and entropy during a thermodynamic process or cycle
and specific entropy (s) during a thermodynamic process or cycle as the graph of a curve. It is a useful and common tool, particularly because it helps
Temperature–entropy_diagram
Thermodynamic process in which no mass or heat is exchanged with surroundings
the water vapor pressure to exceed the saturation vapor pressure. Expansion and cooling beyond the saturation vapor pressure is often idealized as a pseudo-adiabatic
Adiabatic_process
Dependence of the state of a system on its history
wetting behaviour causing dry medium to re-wet; that is, it depends on the saturation history of the porous medium. Hysteretic behaviour means that, for example
Hysteresis
Second-largest eigenvalue lower bound
In spectral graph theory, the Alon–Boppana bound provides a lower bound on the second-largest eigenvalue of the adjacency matrix of a d {\displaystyle
Alon–Boppana_bound
Theory on how and why new ideas spread
Diffusion of innovations is a theory that seeks to explain how, why, and at what rate new ideas and technology spread. The theory was popularized by Everett
Diffusion_of_innovations
Application of an external magnetic field to a ferromagnet
increases rapidly at first and then approaches an asymptote called magnetic saturation. If the magnetic field is now reduced monotonically, M follows a different
Magnetic_hysteresis
Diver's pressure exposure over the time of a dive
stops on a specific dive. Stops extend the dive profile graph along the time axis. A saturation profile is one which all the tissues considered by the
Dive_profile
Value of a communication network in terms of its connections
happening". Anti-rival good Beckstrom's law List of eponymous laws Matching (graph theory) Matthew effect Pareto principle Reed's law Sarnoff's law Simeonov, Simeon
Metcalfe's_law
Molecule-specific coordinate bonding area in biological systems
describes the concentration of ligand and the y-axis describes the fractional saturation of ligands bound to all available binding sites. The Michaelis Menten
Binding_site
Mathematical function having a characteristic S-shaped curve or sigmoid curve
A sigmoid function is any mathematical function whose graph has a characteristic S-shaped or sigmoid curve. A common example of a sigmoid function is
Sigmoid_function
Physical system satisfying the superposition principle
and a saturation (constant) region, are non-linear because they don't always satisfy the superposition principle. The output versus input graph of a linear
Linear_system
semi-continuous in x {\displaystyle x} , and graph continuous. Another weakening, which does not use graph-continuity, is: Each utility function U i {\displaystyle
Abstract_economy
The theory of solar cells explains the process by which light energy in photons is converted into electric current when the photons strike a suitable semiconductor
Theory_of_solar_cells
Electrical circuit
its cathode, I S {\displaystyle I_{\text{S}}} is the diode's reverse saturation current and V T {\displaystyle V_{\text{T}}} is the thermal voltage (approximately
Log_amplifier
Assemblage of connected electrical elements
properties of arbitrary resistor networks can be modeled in terms of their graph measures and geometrical properties. A network that contains active electronic
Electrical_network
Graphic visual representation of information
Challenges". Biggs, Norman; Lloyd, E. Keith; Wilson, Robin J. (1998). Graph Theory, 1736-1936. Clarendon Press. p. 65. ISBN 9780198539162. Battle-Baptiste
Infographic
How brains and associative networks search for information
concepts are by meaning, as well as how a subject is primed. A directed graph is populated by Nodes[ 1...N ] each having an associated activation value
Spreading_activation
Mutually beneficial interaction between species
and carrying capacity, a model that includes saturation would be more accurate. Wright's mathematical theory is based on the premise of a simple two-species
Mutualism_(biology)
Encirclement Investment Siege Swarm Screen Tactical objective Target saturation Trench Withdrawal Operational Military operation Special Operations research
List_of_wars_by_death_toll
American communication theorist and sociologist
or VCRs. When graphed, the rate of adoption formed what came to typify the Diffusion of Innovations model, a sigmoid curve. The graph shows a cumulative
Everett_Rogers
Transistor that uses both electrons and holes as charge carriers
order of magnitude lower in this region. Saturation With both junctions forward biased, a BJT is in saturation mode and facilitates high current conduction
Bipolar_junction_transistor
Mathematical model of the time dependence of a point in space
automata Turing machines Arithmetic dynamics Graph dynamical system By its discrete nature graph theory and in general any form of discrete mathematics
Dynamical_system
problem Derksen, H.; Weyman, J. (2000), "Semi-invariants of quivers and saturation for Littlewood–Richardson coefficients.", J. Amer. Math. Soc., 3 (13):
Semi-invariant_of_a_quiver
Magnet that creates a magnetic field through an electric current
force is well above saturation (so the core material is in saturation), the magnetic field will be approximately the material's saturation value B s a t {\displaystyle
Electromagnet
Semiconductor light source
bar uses infrared LEDs. Pulse oximeters use them for measuring oxygen saturation. Some flatbed scanners use arrays of RGB LEDs rather than the typical
Light-emitting_diode
Passive two-terminal electrical component that stores energy in its magnetic field
}}{dI}}\,.} In an air core inductor or a ferromagnetic core inductor below saturation, the inductance is constant (and equal to the differential inductance)
Inductor
Industry concept of crude oil and natural gas reserves and resources
conventional reservoir) hydrocarbon saturation (inversely measured as the water saturation Sw, where Sw is 1-hydrocarbon saturation) is defined as the percentage
Oil and gas reserves and resource quantification
Oil_and_gas_reserves_and_resource_quantification
Data structure for approximate set membership
services at more than one hop distance can be discovered while avoiding saturation of the Bloom filter by attenuating (shifting out) bits set by sources
Bloom_filter
Device performing a Boolean function
gates (such as NAND gates, NOR gates, or AND and OR gates). And-inverter graph Boolean algebra topics Boolean function Depletion-load NMOS logic Digital
Logic_gate
Non-reversible deformation of a solid material in response to applied forces
on the time frame considered and loading speed. If, as indicated in the graph opposite, the deformation includes elastic deformation, it is also often
Plasticity_(physics)
Subset of graphic design
good understanding of the color circle, complementary colors, and color saturations. The use of color is extremely helpful in communicating moods, effects
Motion_graphic_design
and the low degree saturation. The inclusion of initial attractiveness in the Barabási–Albert model addresses the low-degree saturation phenomenon. Intuitively
Initial_attractiveness
Mathematical function, used to describe magnetization
classical theory of paramagnetism, while the Brillouin function is the quantum theory of paramagnetism. When Langevin published the theory paramagnetism
Brillouin and Langevin functions
Brillouin_and_Langevin_functions
Denial of the scientific consensus on climate change
prominent deniers such as William Happer argue that there is a greenhouse gas saturation effect that significantly decreases the warming potential of further gases
Climate_change_denial
Electric charge treated as continuously distributed in space
the semiconductor, the current can transition into a saturation regime. In the velocity-saturation regime, this equation takes the following form J = 2
Space_charge
Radioactive biochemical substance used for diagnosis or for study of receptor systems
ligand to these receptors. Saturation binding experiments are often called "Scatchard experiments" as they can be graphed as a Scatchard plot. Competitive
Radioligand
Physical law about electrical discharge in gases
electrons produced per incident positive ion), A {\displaystyle A} is the saturation ionization in the gas at a particular E / p {\displaystyle E/p} (electric
Paschen's_law
Study of non-linear complex systems
initially, then exponential growth for a period, followed ultimately by saturation. To get intermediate values and better accuracy, the model can run in
System_dynamics
1979 nuclear accident in Pennsylvania
the contact between steam and liquid water, the water is also at the saturation temperature at steady state. Spray of cooler water enters from the top
Three_Mile_Island_accident
Form of social computing
with a standard interface widget and used visual encoding for data. Hue, saturation, opacity, text, icon, bar chart, and line chart are scent encodings to
Social_navigation
Training and operations handbook
altitude. Chapter 13: Saturation Diving: Deep diving systems, US Navy fly-away saturation dive system, shore based saturation facilities, life support
U.S._Navy_Diving_Manual
Change in sea level due to gravity
and does not exhibit as pronounced a fortnightly spring–neap signal. The graph of Cook Strait's tides shows separately the high water and low water height
Tide
Maximum population size of a species that an ecosystem can support
Leopold largely in the sense of grazing animals (differentiating between a 'saturation level', an intrinsic level of density a species would live in, and carrying
Carrying_capacity
Process of planning an underwater diving operation
atmospheric pressure. The alternative, while retaining surface supply, is saturation diving. For bounce dives, the diver may be deployed directly, often from
Dive_planning
Property of light sources related to black-body radiation
screen to display an electrically black and white signal (minimal color saturation) at a color temperature of 6500 K. On many consumer-grade televisions
Color_temperature
Current output as a function of applied voltage for a material or device
(current–voltage curve) is a relationship, typically represented as a chart or graph, between the electric current through a circuit, device, or material, and
Current–voltage characteristic
Current–voltage_characteristic
Measure of a civilization's evolution
throughout human history, it forms a series of logistic curves with a saturation point for each technological innovation. Therefore, a steady state or
Kardashev_scale
Model for thermodynamic phase transitions
v_{\text{g}}=V_{\text{g}}/N_{\text{g}}>v_{f},} that coexist at the same saturation temperature and pressure. As the heating continues, the amount of vapor
Maxwell_construction
History of research by Augustin-Jean Fresnel
colors, though they remained complementary. Rotating the mica changed the saturation (not the hue) of the colors. This phenomenon became known as chromatic
Fresnel's_physical_optics
(electrical engineering) Signal (information theory) Signal noise Signal processing Signal strength Signal-flow graph Signal-to-noise ratio Silicon controlled
Index of electrical engineering articles
Index_of_electrical_engineering_articles
Rule of thumb for estimating a decompression schedule for a given set of breathing gases
the shallower stops (resulting in a much sharper angle in the depth/time graph of the ascent profile), ratio deco will allow a diver to dynamically[clarification
Ratio_decompression
American engineer and chemist
engineering courses on time-dependent control theory and hybrid systems modeling with a focus on bond graph analysis. His undergraduate biochemistry studies
John_Texter
Vertical rate of change of temperature in atmosphere
(latent heat of condensation). Before saturation, the rising air follows the dry adiabatic lapse rate. After saturation, the rising air follows the moist
Lapse_rate
Antenna consisting of two rod-shaped conductors
and in a transmitting antenna it must be of sufficient size to avoid saturation. Other balun designs are mentioned below. Feeding a dipole antenna with
Dipole_antenna
Measuring Thermal Conductivity With Special Reference to Soils. I. Extension of Theory and Discussion of Probe Characteristics," Australian Journal of Physics
List of thermal conductivities
List_of_thermal_conductivities
Distinct layer of temperature change in a body of water
Graph showing a tropical ocean thermocline (depth vs. temperature). Note the rapid change between 100 and 1000 meters. The temperature is nearly constant
Thermocline
Algorithms and methods of plotting the Mandelbrot set on a computing device
(i / max) * 100] This method applies to HSL as well, except we pass a saturation of 50% instead. hsl = [powf((i / max) * 360, 1.5) % 360, 50, (i / max)
Plotting algorithms for the Mandelbrot set
Plotting_algorithms_for_the_Mandelbrot_set
Standardized AI performance test
containing the canary string can be voluntarily removed from the training set. saturation: As time goes on, many models reach the highest performance level practically
Language_model_benchmark
In Saturation diving an excursion is a lockout dive in which the diver is exposed to a depth pressure significantly more or less than the saturation storage
Glossary of underwater diving terminology: D–G
Glossary_of_underwater_diving_terminology:_D–G
Device that emits light via optical amplification
a continuous wave (CW) laser, the balance of pump power against gain saturation and cavity losses produces an equilibrium value of the laser power inside
Laser
Perception of one's environment
accidents attributed to human error. According to Endsley's situation awareness theory, when someone meets a dangerous situation, that person needs an appropriate
Situation_awareness
logistic curve. In other cases, a branch of study reached the point of saturation. For instance, the last major internal human organ, the parathyroid gland
Mathematics, science, technology and engineering of the Victorian era
Mathematics,_science,_technology_and_engineering_of_the_Victorian_era
Cyclone strength measure
\Delta k=k_{s}^{*}-k} , where k s ∗ {\displaystyle k_{s}^{*}} is the saturation enthalpy of air at sea surface temperature and sea-level pressure and
Maximum_potential_intensity
Global warming about 55 million years ago
Zhu J (12 November 2024). "Coupled decline in ocean pH and carbonate saturation during the Palaeocene–Eocene Thermal Maximum". Nature Geoscience. 17 (12):
Paleocene–Eocene thermal maximum
Paleocene–Eocene_thermal_maximum
American Secretary of Defense (1961–1968)
which would use an electronically scanned array radar to prevent the saturation of ships' defenses. Cost overruns combined with the technical issues encountered
Robert McNamara as Secretary of Defense
Robert_McNamara_as_Secretary_of_Defense
Electronic game with user interface and visual feedback
American video game market in 1983 due to loss of publishing control and saturation of the market. Following the crash, the industry matured, was dominated
Video_game
government's emphasis on guiding FDI into manufacturing has led to market saturation in some industries, while leaving China's services sectors underdeveloped
Economy_of_China
Electronic device/component that increases the strength of a signal
somewhat similar to a transformer where one winding is used to control the saturation of a magnetic core and hence alter the impedance of the other winding
Amplifier
Effective partial pressure
constant temperature, the change in fugacity as the pressure goes from the saturation press Psat to P is ln f f s a t = V m R T ∫ P s a t P d p = V ( P −
Fugacity
Functional relationship between two quantities
Heavy-tailed distributions Hyperbolic growth Lévy flight Long tail Low-degree saturation Pareto distribution Power-law fluid Simon model Stable distribution Stevens's
Power_law
Analysis technique of genes
Additionally, normalization using UMIs assumes the cDNA library is sequenced to saturation, which is not always the case. In the amplification step, either PCR or
Single-cell_transcriptomics
Seventh planet from the Sun
upper atmosphere due to its extremely low temperature, which lowers the saturation level and causes excess methane to freeze out. The abundances of less
Uranus
French consumer electronics company
ScanWatch is a smartwatch that incorporates a sensor that measures the oxygen saturation level in the blood to identify sleep apnea and detects atrial fibrillation
Withings
communications it is important to run transmitter power amplifier as close to its saturation power as possible in order to minimize operational expenditure and capital
Multidimensional digital pre-distortion
Multidimensional_digital_pre-distortion
Atmospheric constituent and greenhouse gas
tenfold change in hydrogen ion concentration). Sea-surface pH and carbonate saturation states vary depending on ocean depth and location. Colder and higher latitude
Carbon dioxide in the atmosphere of Earth
Carbon_dioxide_in_the_atmosphere_of_Earth
Branch of soil physics and applied mechanics that describes the behavior of soils
{V_{v}}{V_{t}}}={\frac {V_{v}}{V_{s}+V_{v}}}={\frac {e}{1+e}}} Degree of saturation, S {\displaystyle S} , is the ratio of the volume of water to the volume
Soil_mechanics
Class of chemical substance
and 2-hydroxypyrimidinolates as struts. Despite initial coordinative saturation, the palladium centers in this MOF catalyze alcohol oxidation, olefin
Metal–organic_framework
Electors of the U.S. president and vice president
poll results show no clear favorite are inundated with campaign visits, saturation television advertising, get-out-the-vote efforts by party organizers,
United States Electoral College
United_States_Electoral_College
to the cathode or moving. These are analyzed as another example below. Theory: Stationary high-field domains can be analyzed from the transport- and Poisson
High-field_domain
Medical condition
a high-affinity partial opioid agonist, also due to opioid receptor saturation. Buprenorphine can be administered either as a standalone product or in
Opioid_use_disorder
Worldwide economic crisis
in GDP growth rates since the early 1970s is due to increasing market saturation. Marxian economics followers Andrew Kliman, Michael Roberts, and Guglielmo
2008_financial_crisis
Submersible that traveled to the Challenger Deep
These two graphs show James Cameron's Deepsea Challenger's descent and ascent during this record-setting dive – times are in UTC, so the dive started on
Deepsea_Challenger
Electrochemical device for measuring oxygen partial pressure
gases. Electronically monitored or controlled diving rebreather systems, saturation diving systems, and many medical life-support systems use galvanic oxygen
Electro-galvanic oxygen sensor
Electro-galvanic_oxygen_sensor
Measurement of blood pumped by the heart
content of hæmoglobin in the blood and the percentage of saturation of hæmoglobin—the oxygen saturation of the blood—is a simple process and is readily available
Cardiac_output
SATURATION GRAPH-THEORY
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SATURATION GRAPH-THEORY