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This sum is called a Chebyshev series or a Chebyshev expansion. Since a Chebyshev series is related to a Fourier cosine series through a change of variables, all of the theorems, identities, etc. that apply to Fourier series have a Chebyshev counterpart. [16] These attributes include: The Chebyshev polynomials form a complete orthogonal system.
Extinction coefficient, ε ? IR; Major absorption bands 2143 cm −1: 13 CO 2099.2 ± 4 cm −1: NMR; Proton NMR Carbon-13 NMR ... Carbon monoxide (data page)
Carbon dioxide: 3.640 0.04267 Carbon disulfide: 11.77 0.07685 Carbon monoxide: 1.505 0.0398500 Carbon tetrachloride: 19.7483 0.1281 Chlorine: 6.579 0.05622 Chlorobenzene:
Carbon monoxide (chemical formula CO) is a poisonous, flammable gas that is colorless, odorless, tasteless, and slightly less dense than air. Carbon monoxide consists of one carbon atom and one oxygen atom connected by a triple bond. It is the simplest carbon oxide. In coordination complexes, the carbon monoxide ligand is called carbonyl. It is ...
Chebyshev's equation is the second order linear differential equation + = where p is a real (or complex) constant. The equation is named after Russian mathematician Pafnuty Chebyshev. The solutions can be obtained by power series:
The Chebyshev functions, especially the second one ψ (x), are often used in proofs related to prime numbers, because it is typically simpler to work with them than with the prime-counting function, π (x) (see the exact formula below.) Both Chebyshev functions are asymptotic to x, a statement equivalent to the prime number theorem.
The Boudouard reaction, named after Octave Leopold Boudouard, is the redox reaction of a chemical equilibrium mixture of carbon monoxide and carbon dioxide at a given temperature. It is the disproportionation of carbon monoxide into carbon dioxide and graphite or its reverse: [1] 2CO ⇌ CO 2 + C
Carbon Solid C 0 Carbon Solid C 1.9 Carbon: Gas C 716.67 Carbon dioxide: Gas CO 2: −393.509 Carbon disulfide: Liquid CS 2: 89.41 Carbon disulfide: Gas CS 2: 116.7 Carbon monoxide: Gas CO −110.525 Carbonyl chloride Gas COCl 2: −218.8 Carbon dioxide (un–ionized) Aqueous CO 2 (aq) −419.26 Bicarbonate ion Aqueous HCO 3 – −689.93