One fundamental difference between equilibrium thermodynamics and non-equilibrium thermodynamics lies in the behaviour of inhomogeneous systems, which require for their study knowledge of rates of reaction which are not considered in equilibrium thermodynamics of homogeneous systems.
22.
Menshutkin further studied the influence of isomerism among alcohols and acids on esterification and showed that, both in respect of rate and limit, the homogeneous systems, and the influence of temperature on the rate of several reactions.
23.
Intel General Manager of high-density computing, Jason Waxman, is quoted as saying that a homogeneous system of 15, 000 servers would cost $ 6 million more in capital expenditure and use 1 megawatt of power.
24.
In a homogeneous system only reversible processes can take place, so the second law of thermodynamics gives " T & thinsp; dS " } }, with " T " the absolute temperature of the system.
25.
Where E ^ { \ mathrm { kin } } and E ^ { \ mathrm { pot } } denote respectively the total kinetic energy and the total potential energy of the component closed homogeneous system, and U denotes its internal energy.
26.
Unlike conventional spin only exchange Hamiltonian where the coupling constants are isotropic in a homogeneous system, the highly anisotropic atomic orbitals ( recall the shape of the s, p, d, f wave functions ) coupling to the system's magnetic moments will inevitably introduce huge anisotropy even in a homogeneous system.
27.
Unlike conventional spin only exchange Hamiltonian where the coupling constants are isotropic in a homogeneous system, the highly anisotropic atomic orbitals ( recall the shape of the s, p, d, f wave functions ) coupling to the system's magnetic moments will inevitably introduce huge anisotropy even in a homogeneous system.
28.
"' Neat "'and "'scruffy "'are labels for two different types of artificial intelligence ( AI ) research . "'Neats "'consider that solutions should be provably correct . "'Scruffies "'believe that intelligence is too complicated ( or computationally intractable ) to be solved with the sorts of homogeneous system such neat requirements usually mandate.
29.
For the coefficients of powers " m " + 1 to " m " + " n ", the right hand side is 0 and the resulting system of linear equations contains a homogeneous system of " n " equations in the " n " + 1 unknowns " b i ", and so admits of infinitely many solutions each of which determines a possible " Q n " . " P m " is then easily found by equating the first " m " coefficients of the equation above.
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