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Additive state decomposition occurs when a system is decomposed into two or more subsystems with the same dimension as that of the original system. A
Additive_state_decomposition
Fundamental principle of physics
\phi } is a nonlinear function. By the additive state decomposition, the system can be additively decomposed into x ˙ 1 = A x 1 + B u 1 + ϕ ( y d )
Superposition_principle
Alternative battery type
electrochemical decomposition. The carbon anode also caused a build up of the solid electrolyte interphase, an undesirable result of electrolyte decomposition. In
Solid-state_silicon_battery
Sound synthesis technique
Additive synthesis example A bell-like sound generated by additive synthesis of 21 inharmonic partials Problems playing this file? See media help. Additive
Additive_synthesis
Theorem in set-theoretic geometry
paradoxical decomposition of that group and the axiom of choice to produce a paradoxical decomposition of the hollow unit sphere. Extend this decomposition of
Banach–Tarski_paradox
In algebra, expression of an ideal as the intersection of ideals of a specific type
Lasker ring, which means that every ideal can be decomposed as an intersection, called primary decomposition, of finitely many primary ideals (which are related
Primary_decomposition
Chemicals that improve oil performance
choose different additives for each use. Additives comprise up to 5% by weight of some oils. Nearly all commercial motor oils contain additives, whether the
Oil_additive
Thermal decomposition of materials
involving the separation of covalent bonds in organic matter by thermal decomposition within an inert environment without oxygen. Pyrolysis is most commonly
Pyrolysis
Form of global sensitivity analysis
terms in the functional decomposition are orthogonal. This leads to definitions of the terms of the functional decomposition in terms of conditional expected
Variance-based sensitivity analysis
Variance-based_sensitivity_analysis
Industrial and food chemical
other industries, modified azodicarbonamide (average decomposition temperature 170 °C) contains additives that accelerate the reaction or react at lower temperatures
Azodicarbonamide
Method for basic wastewater treatment (on-site)
sludge—also called septage or fecal sludge—is faster than the rate of decomposition. Therefore, the accumulated fecal sludge must be periodically removed
Septic_tank
Generalization of the concept of a direct sum in mathematics
in A are decomposable operators. This can be used to prove the basic result of von Neumann: any von Neumann algebra admits a decomposition into factors
Direct_integral
Signal processing algorithm
Empirical Mode Decomposition have been used to analyze characterization of multidimensional signals. The empirical mode decomposition (EMD) method can
Multidimensional empirical mode decomposition
Multidimensional_empirical_mode_decomposition
Material of a wide range of synthetic or semi-synthetic organic solids
plastic additives. A randomly chosen plastic product generally contains around 20 additives. The identities and concentrations of additives are generally
Plastic
Type of toilet that treats human excreta by a biological process called composting
by a biological process called composting. This process leads to the decomposition of organic matter and turns human waste into compost-like material.
Composting_toilet
Chemical compound
for use as a food additive in the EU, USA and Australia and New Zealand (where it is listed by its INS number 281). Decomposition takes place via ketonization
Sodium_propionate
Chemical compound
cyanohydroxyiminoacetate (oxyma) is the oxime of ethyl cyanoacetate and finds use as an additive for carbodiimides, such as dicyclohexylcarbodiimide (DCC) in peptide synthesis
Ethyl cyanohydroxyiminoacetate
Ethyl_cyanohydroxyiminoacetate
Chemical compound
almost insoluble in water. As a solid, it is relatively stable against decomposition. In contact with water however it hydrolyzes with release of oxygen
Calcium_peroxide
Chemical compound
formula Ca(C2H5COO)2. It is the calcium salt of propanoic acid. As a food additive, it is listed as E number 282 in the Codex Alimentarius. Calcium propionate
Calcium_propanoate
Method for uncertainty and sensitivity analysis
decomposition. One can use sensitivity indices (see variance-based sensitivity analysis) to define the most influential variables for decomposition or
Simulation_decomposition
Chemical compound
the battery and lead to the decomposition of electrolyte. Graphitization (heating) of carbon black can thermally decompose the hydrophilic functional groups
Carbon_black
Chemical compound
consistent moisture-absorption profile during athletic use. As a food additive, magnesium carbonate is known as E504. Its only known side effect is that
Magnesium_carbonate
Decomposition by living organisms
Polycaprolactone and polycaprolactone-starch composites decompose slower, but the starch content accelerates decomposition by leaving behind a porous, high surface area
Biodegradation
Bag capable of being decomposed
humidity conditions. Compostable means capable of undergoing biological decomposition in a compost site such that the material is not visually distinguishable
Biodegradable_bag
State machines and generalizations in UML
superstate as an 'OR-state'. UML statecharts also introduce the complementary AND-decomposition. Such decomposition means that a composite state can contain two
UML_state_machine
Neumann algorithm Birkhoff–von Neumann theorem Birkhoff–von Neumann decomposition Dirac–von Neumann axioms Jordan–von Neumann theorems Koopman–von Neumann
List of things named after John von Neumann
List_of_things_named_after_John_von_Neumann
Chemical compound
decomposition starts as low as 70 °C: "Hazardous Decomposition Products: Gradually loses ammonia when exposed to air at room temperature. Decomposes to
Diammonium_phosphate
Chemical compound
catalyze the decomposition of hypochlorite into chlorate (ClO−3) and chloride. In one test, the dihydrate was claimed to show only 6% decomposition after 13
Sodium_hypochlorite
Chemical compound
synthetic fibers, leather, paper, and phenol-formaldehyde resins. As a food additive it has E number E123. Amaranth usually comes as a trisodium salt. It has
Amaranth_(dye)
Lubricant consisting of artificially made chemical compounds
substantially more expensive (per volume) than mineral oils and have potential decomposition problems. Synthetic oil lubricant comprises chemical compounds that
Synthetic_oil
Elastomer composed of silicone
polyoxymethylene decomposes formaldehyde, which is volatile and escapes driving decomposition forward, but Si-containing decomposition products of silicone
Silicone_rubber
Chemical compound
cobalt powder with air or by thermal decomposition of cobalt(II) nitrate or the carbonate. Cobalt(II,III) oxide decomposes to cobalt(II) oxide at 950 °C: 2
Cobalt(II)_oxide
Substance applied to items to slow burning or delay ignition
are typically additive, while organohalogen and organophosphorus compounds can be either reactive or additive. Both reactive and additive flame retardants
Flame_retardant
Functions such that f(–x) equals f(x) or –f(x)
defined for functions whose domain and codomain both have a notion of additive inverse. This includes abelian groups, all rings, all fields, and all vector
Even_and_odd_functions
Material to reduce fecal sludge build-up
significantly enhance normal biological decomposition processes in septic tanks. They go on to say that ‘some biological additives have been found to degrade or
Pit_additive
Chemical compound of calcium
important commodity chemicals. Calcium oxide is usually made by the thermal decomposition of materials, such as limestone or seashells, that contain calcium carbonate
Calcium_oxide
Chemical compound
levels in a reasonably short time. Ferrous gluconate is also used as a food additive when processing black olives. It is represented by the food labeling E
Iron(II)_gluconate
Chemical compound
inhibitor and is used as an additive in industrial greases, as an aqueous solution in closed loop cooling systems, and in a molten state as a heat transfer medium
Sodium_nitrite
Chemical compound
blue-black solid. It decomposes at 130 °C with the evolution of oxygen in an autocatalytic decomposition process. The tetrahydrate decomposes above 150 °C. The
Magnesium_permanganate
Mixture used to improve soil fertility
inputs of water, air, and carbon- and nitrogen-rich materials. The decomposition process is aided by shredding the plant matter, adding water, and ensuring
Compost
Artificial non-saccharide sweetener
approval was briefly revoked. Aspartame is one of the most studied food additives in the human food supply. Reviews by over 100 governmental regulatory
Aspartame
Chemical compound
metal ions dissolved in solution. Ammonium polyphosphate is used as a food additive, emulsifier, (E number: E545) and as a fertilizer. Ammonium polyphosphate
Ammonium_polyphosphate
Chemical compound
When used as a food additive in the European Union, the compound is referred to as E252; it is also approved for use as a food additive in the United States
Potassium_nitrate
Type of vector space in math
probability distribution of an observable in a given state can be found by computing the spectral decomposition of the corresponding operator. For a general system
Hilbert_space
Chemical compound
given rise to its use as a propellant additive or fuel. However, quadricyclane undergoes thermal decomposition at relatively low temperatures (less than
Quadricyclane
Panel made of gypsum, used in interior construction
is a panel made of calcium sulfate dihydrate (gypsum), with or without additives, typically extruded between thick sheets of facer and backer paper, used
Drywall
Chemical compound
cannot be precipitated directly from aqueous solution. Typically double decomposition reactions are employed, involving a soluble phosphate and calcium salts
Tricalcium_phosphate
Chemical compound
decomposition temperature (which is above 250 °C), dibutyltin dilaurate emits acrid smoke and fumes. Dibutyltin dilaurate is used as a paint additive
Dibutyltin_dilaurate
Chemical which reduces air pollution from diesel engines
Staszak, Maciej; Staszak, Katarzyna (July 2020). "Modeling of Urea Decomposition in Selective Catalytic Reduction (SCR) for Systems of Diesel Exhaust
Diesel_exhaust_fluid
Chemical compound
the following reaction: Ammonium formate can be used as a mobile phase additive in high performance liquid chromatography (HPLC), and is suitable for use
Ammonium_formate
Chemical compound
formerly a major disease of sailors in long sea voyages. It is used as a food additive and a dietary supplement for its antioxidant properties. The "d" form (erythorbic
Chemistry_of_ascorbic_acid
Chemical compound
pesticides, explosives, fibers, and coatings. Nitromethane is used as a fuel additive in various motorsports and hobbies, e.g. Top Fuel drag racing and miniature
Nitromethane
Chemical compound
not interfere with the determination of volatile fatty acids. As a food additive, ammonium sulfate is considered generally recognized as safe (GRAS) by
Ammonium_sulfate
Silicon-based subclass of lithium-ion battery technology
forming additive fluoroethylene carbonate (FEC). Starting from the first cycle of lithium-ion battery operation, the electrolyte decomposes to form lithium
Lithium–silicon_battery
Organic compound
widely in nature. It has a fruit-like taste and has been used as a food additive. Its E number is E297. The salts and esters are known as fumarates. Fumarate
Fumaric_acid
Community of living organisms together with the nonliving components of their environment
microbial decomposition occurs. Temperature also affects soil moisture, which affects decomposition. Freeze-thaw cycles also affect decomposition—freezing
Ecosystem
Chemical compound
alkaline solution. TSP is used as a cleaning agent, builder, lubricant, food additive, stain remover, and degreaser. As an item of commerce TSP is often partially
Trisodium_phosphate
Chemical compound
used as gasoline and lubricant additive, antioxidant, and stabilizer for industry materials. When heated to decomposition, N-nitrosodiethylamine emits toxic
N-Nitrosodiethylamine
Blend of microorganisms in a nutrient solution
to investigate these additives have come to the conclusion that long-term beneficial effects are not proven. Studies have stated that effective microorganisms
Effective_microorganism
Dead human body
happens around the second week of decomposition. Gas accumulation and bloating will continue until the body is decomposed sufficiently for the gas to escape
Cadaver
Type of cheese
for clean-label, minimally processed foods that avoid direct chemical additives. Inoculation and Fermentation: Skimmed milk is pumped into enclosed vats
Cottage_cheese
Boron compound, a salt of boric acid
artificial aging of wood, as a preservative against wood fungus, as a food additive, and as a pharmaceutic alkalizer. In chemical laboratories it is used as
Borax
Chemical compound
State University: "Bioavailability of Different Forms of Vitamin C". Retrieved 2013-09-27. UK Food Standards Agency: "Current EU approved additives and
Sodium_ascorbate
Theorem in arithmetic combinatorics
written A A {\displaystyle AA} . The theorem is a version of the maxim that additive structure and multiplicative structure cannot coexist. It can also be viewed
Erdős–Szemerédi_theorem
Chemical group (=CH2)
(I−CH2−I). The decomposition can be effected by photolysis, photosensitized reagents (such as benzophenone), or thermal decomposition. Methylene can be
Methylene_(compound)
Complex matrix whose conjugate transpose equals its inverse
names: authors list (link) Li, Chi-Kwong; Poon, Edward (2002). "Additive decomposition of real matrices". Linear and Multilinear Algebra. 50 (4): 321–326
Unitary_matrix
e in A decomposes as e0 ⊕ e1 under the grading and e1Fe0 becomes a Fredholm operator from e0H to e1H. Thus e → Ind e1Fe0 defines an additive mapping
Spectral_triple
Representation of a graph as a path graph "thickened" by some amount
path-decomposition is a tree decomposition (X,T) in which the underlying tree T of the decomposition is a path graph. The width of a path-decomposition is
Pathwidth
Chemical compound
bicarbonate to act as a raising agent in baking because of thermal decomposition, releasing carbon dioxide at temperatures above 80 °C (180 °F), as follows:
Sodium_bicarbonate
Chemical compound
colouring material] (in French). BFMTV.com. State of the Science of Titanium Dioxide (TiO₂) as a Food Additive (PDF). Food Directorate, Health Canada. June
Titanium_dioxide
Dependence of a gene mutation's phenotype on mutations in other genes
Consequently, the definition of epistasis has expanded to describe any non-additive interaction between two or more mutations. The effects of genes are now
Epistasis
Solid mechanics theory
{\partial f}{\partial {\boldsymbol {\sigma }}}}<0\,.} Strain decomposition: The additive decomposition of the strain into elastic and plastic parts can be written
Flow_plasticity_theory
Method for estimating demand or value
bundles of attributes) separately, and estimates prices (in the case of an additive model) or elasticity (in the case of a log model) for each of them. This
Hedonic_regression
Organolead compound
organolead compound with the formula Pb(C2H5)4. It was widely used as a fuel additive for much of the 20th century, first being mixed with gasoline beginning
Tetraethyllead
Chemical compound
nitrite is used in the manufacturing of heat transfer salts. As a food additive with the E number E249, potassium nitrite is used as a preservative similar
Potassium_nitrite
Chemical compound
added to foods containing oils and fats to prevent oxidation. As a food additive, it is used under the E number E310. Propyl gallate is an antioxidant.
Propyl_gallate
Chemical element with atomic number 7 (N)
rancidity and other forms of oxidative damage). Pure nitrogen as food additive is labelled in the European Union with the E number E941. In incandescent
Nitrogen
Method of preserving human remains
preservatives, sanitizers, disinfectant agents, and additives used in modern embalming to temporarily delay decomposition and restore a natural appearance for viewing
Embalming
Chemical compound
compounds, including plastics, pharmaceuticals, explosives, and rubber additives. The compound is also used medically for certain conditions. It sublimes
Hexamethylenetetramine
Organic compound
decomposition of ammonium cyanate [NH4]+[OCN]−, which is in chemical equilibrium with urea: CO(NH2)2 → [NH4]+[OCN]− → HNCO + NH3 This decomposition is
Urea
Chemical compound
monopotassium phosphate (KH2PO4.(H2O)x), it is often used as a fertilizer, food additive, and buffering agent. It is a white or colorless solid that is soluble
Dipotassium_phosphate
Triatomic oxygen molecule
sterilisers, etc.). The catalytic decomposition of ozone is very important to reduce pollution. This type of decomposition is the most widely used, especially
Ozone
Process of mapping a continuous set to a countable set
produces a sequence of quantization errors, which is sometimes modeled as an additive random signal called quantization noise because of its stochastic behavior
Quantization (signal processing)
Quantization_(signal_processing)
East Asian liquid condiment
ribonucleotides. (Hydrolyzed vegetable protein is not listed as a food additive in GB 2760 and is therefore unacceptable in products labelled as "soy sauce"
Soy_sauce
Commutative group (mathematics)
which in turn is decomposable into a direct sum of finitely many cyclic groups of prime power orders. Even though the decomposition is not unique, the
Abelian_group
Chemical compound
compound, methyl methanethiosulfinate (CH3S(O)SCH3). DMDS is used as a food additive in onion, garlic, cheese, meats, soups, savory flavors, and fruit flavors
Dimethyl_disulfide
Type of plane partition
Georgy Voronoy, and is also called a Voronoi tessellation, a Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after Peter Gustav
Voronoi_diagram
Chemical compound
19 (6): 691–9. doi:10.1016/0015-6264(81)90522-8. PMID 7327470. "Food Additive Status List". Food and Drug Administration. Archived from the original
Ethyl_methylphenylglycidate
Chemical compound and dye
S is prohibited as a food additive in Canada, United States, Japan, and Norway. It is approved for use as a food additive in the EU and Australia and
Green_S
Group that is a topological space with continuous group operations
physics. In functional analysis, every topological vector space is an additive topological group with the additional property that scalar multiplication
Topological_group
Even integers as sums of two primes
307–314. doi:10.1112/plms/s2-44.4.307. Schnirelmann, L. G. (1930). 'On the additive properties of numbers". First published in Proceedings of the Don Polytechnic
Goldbach's_conjecture
Food considered unsafe under US Law
species, or undisclosed processing methods, in which treatments such as additives, excessive glazing, or short-weighting are not disclosed to the consumer
Adulterated food in the United States
Adulterated_food_in_the_United_States
Chemical compound
to suppress a fire, the atmosphere should be tested. An Acid Scavenging Additive added to pentafluoroethane is able to reduce the amount of hydrogen fluoride
Pentafluoroethane
Liquid fuel derived from petroleum
distillation of petroleum and later chemically enhanced with gasoline additives. It is a high-volume profitable product produced in crude oil refineries
Gasoline
Chemical compound
substitute". It is also known as one of the E number food additives E500(iii). The thermal decomposition of solid sodium sesquicarbonate has been studied at
Sodium_sesquicarbonate
Chemicals that prevent body decomposition
sanitising and disinfectant agents, and additives used in modern embalming to temporarily prevent decomposition and restore a natural appearance for viewing
Embalming_chemicals
Additives*". Combustion Science and Technology. 5 (1): 243–249. doi:10.1080/00102207208952528. Galwey, A. K. (1965). "1152. The thermal decomposition
Nickel_organic_acid_salts
Elementary cellular automaton
of two interleaved copies of Rule 102. Rule 90 and Rule 102 are called additive cellular automata. This means that, if two initial states are combined
Rule_90
Method of data analysis
multivariate quality control, proper orthogonal decomposition (POD) in mechanical engineering, singular value decomposition (SVD) of X (invented in the last quarter
Principal_component_analysis
Chemical acid found in vinegar
descaling agents. In the food industry, acetic acid is controlled by the food additive code E260 as an acidity regulator and as a condiment. In biochemistry,
Acetic_acid
ADDITIVE STATE-DECOMPOSITION
ADDITIVE STATE-DECOMPOSITION
ADDITIVE STATE-DECOMPOSITION
ADDITIVE STATE-DECOMPOSITION
ADDITIVE STATE-DECOMPOSITION
ADDITIVE STATE-DECOMPOSITION
ADDITIVE STATE-DECOMPOSITION
ADDITIVE STATE-DECOMPOSITION
ADDITIVE STATE-DECOMPOSITION