It decomposes and turns into carbon dioxide ( CO < sub > 2 </ sub >), which is released into the atmosphere.

Suppose that the minimal polynomial for T decomposes over F into a product of linear polynomials.

A DFT decomposes a sequence of values into components of different frequencies.

Through the enzyme carbonic anhydrase, carbon dioxide reacts with water to give carbonic acid, which decomposes into bicarbonate and protons:

Pyrimidine also photolytically decomposes into uracil under UV light.

The sulfide is oxidized to a sulfite ( PbSO < sub > 3 </ sub >) which thermally decomposes into lead oxide and sulfur dioxide gas.

# If n = 2k + 1, then the action of the unit vector u on the left ideal decomposes the space into a pair of isomorphic irreducible eigenspaces ( both denoted by Δ ), corresponding to the respective eigenvalues + 1 and − 1.

When baking soda and vinegar are combined, the bicarbonate ion of the baking soda is turned into carbonic acid, which decomposes into carbon dioxide and water.

At a depth of about, ringwoodite decomposes into silicate perovskite (( Mg, Fe ) SiO < sub > 3 </ sub >) and ferropericlase (( Mg, Fe ) O ) in an endothermic reaction.

In mathematics, a Fourier series decomposes periodic functions or periodic signals into the sum of a ( possibly infinite ) set of simple oscillating functions, namely sines and cosines ( or complex exponentials ).

* Multiple resolution representation: JPEG 2000 decomposes the image into a multiple resolution representation in the course of its compression process.

Growth accounting decomposes the growth rate of economy's total output into that which is due to increases in the amount of factors used-usually the increase in the amount of capital and labor-and that which cannot be accounted for by observable changes in factor utilization.

Raw sewage decomposes more cleanly in soil, and should be directed back to the ground rather into a drinking-water source.

The SVD decomposes M into three simple transformations: a Rotation matrix | rotation V < sup >*</ sup >, a Scaling matrix | scaling Σ along the rotated coordinate axes and a second rotation U. The lengths σ < sub > 1 </ sub > and σ < sub > 2 </ sub > of the Ellipse # Elements of an ellipse | semi-axes of the ellipse are the singular value s of M.

Above 70 ° C, sodium bicarbonate gradually decomposes into sodium carbonate, water and carbon dioxide.

In abstract algebra, a splitting field of a polynomial with coefficients in a field is a smallest field extension of that field over which the polynomial splits or decomposes into linear factors.

In particular, L < sup > 2 </ sup >( G ) decomposes into an orthogonal direct sum of all the irreducible unitary representations, in which the multiplicity of each irreducible representation is equal to its degree ( that is, the dimension of the underlying space of the representation ).

* Coprinus comatus ( Shaggy Ink Cap ) decomposes into ink, and hence must be prepared soon after picking and only young specimens should be collected.

The coherent vortex simulation approach decomposes the turbulent flow field into a coherent part, consisting of organized vortical motion, and the incoherent part, which is the random background flow.

This is because the conformal group decomposes into separate diffeomorphisms of the forward and back lightcones.

An example is the Fourier transform, which decomposes a function into the sum of a ( potentially infinite ) number of sine wave frequency components.

On heating, the complex decomposes back to nickel and carbon monoxide:

It decomposes at a moderate rate to acetone and carbon dioxide:

Reaction of sodium bicarbonate and an acid produce a salt and carbonic acid, which readily decomposes to carbon dioxide and water:

Upon heating iodoform decomposes to produce diatomic iodine, hydrogen iodide gas, and carbon.

Typically, as a dead body decomposes, body tissues become depleted of oxygen and the body begins to putrefy ; anaerobic bacteria in the gastrointestinal tract proliferate and as a result of increased metabolic activity, release gases such as carbon dioxide, methane, and hydrogen sulfide.

This acid quickly decomposes by splitting off carbon dioxide and leaving behind an amine.

This five-coordinate complex then reacts with carbon monoxide to form the six coordinate dicarbonyl complex ( 4 ) which decomposes by reductive elimination to form acetyl iodide ( CH < sub > 3 </ sub > COI ) and regenerate the active form of the catalyst.

Carbonic phosphoric anhydride decomposes into carbon dioxide and phosphate prior to attack by the enzyme linked biotin molecule.

* Calcium carbonate ( Limestone or chalk ) decomposes into calcium oxide and carbon dioxide when heated:

Diesel exhaust fluid ( from the DEF tank located in large trucks ) is injected into the exhaust as it moves through the engine where it vaporizes and decomposes to form ammonia and carbon dioxide.

Unlike sulfur, which forms a stable trioxide, selenium trioxide is thermodynamically unstable and decomposes to the dioxide above 185 ° C:

For instance, potassium permanganate decomposes at 230 ° C to potassium manganate and manganese dioxide, releasing oxygen gas:

A low explosive is usually a mixture of a combustible substance and an oxidant that decomposes rapidly ( deflagration ); however, they burn more slowly than a high explosive, which has an extremely fast burn rate.

Most polonides decompose upon heating to about 600 ° C, except for HgPo that decomposes at ~ 300 ° C and the lanthanide polonides, which do not decompose but melt at temperatures above 1000 ° C.

The thallium ( III ) oxide is a black solid which decomposes above 800 ° C, forming the thallium ( I ) oxide and oxygen.

This is usually accomplished by a process known as retting, where fully ripe red pepper berries are soaked in water for about a week, during which the flesh of the pepper softens and decomposes.

When the peroxide is mixed with the resin, it decomposes to generate free radicals, which initiate the curing reaction.

As heather decomposes, the pH value of the soil falls drastically, as far as the iron buffer-region at pH 3, which initiates the process of podsolisation.

In the U. S., fluoridation is usually accomplished by the addition of hexafluorosilicic acid, which decomposes in water, yielding fluoride ions.

Water balloons, like air balloons, are generally made from latex, which naturally decomposes.

The electrode is coated in a metal mixture called flux, which gives off gases as it decomposes to prevent weld contamination, introduces deoxidizers to purify the weld, causes weld-protecting slag to form, improves the arc stability, and provides alloying elements to improve the weld quality.

It decomposes on heating to give nitrogen gas, which is used to quickly expand the air bag:

A chemical explosive is a compound or mixture which, upon the application of heat or shock, decomposes or rearranges with extreme rapidity, yielding much gas and heat.

For example, the Künneth standard conjecture, which states the existence of algebraic cycles π < sup > i </ sup > ⊂ X × X inducing the canonical projectors H < sup >∗</ sup >( X ) ↠ H < sup > i </ sup >( X ) ↣ H < sup >∗</ sup >( X ) ( for any Weil cohomology H ) implies that every pure motive M decomposes in graded pieces of weight n: M = ⊕ Gr < sub > n </ sub > M.