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For a system (such as a molecule or solid) with uncoupled vibrational modes the vibrational partition function is defined by =, where is the absolute temperature of the system, is the Boltzmann constant, and , is the energy of the jth mode when it has vibrational quantum number =,,, ….
A corresponding solid sample is arranged in such a way to form a capillary flow channel. Materials with a flat surface are mounted as duplicate samples that are aligned as parallel plates. The sample surfaces are separated by a small distance to form a capillary flow channel.
In mathematical logic, a formula of first-order logic is in Skolem normal form if it is in prenex normal form with only universal first-order quantifiers. Every first-order formula may be converted into Skolem normal form while not changing its satisfiability via a process called Skolemization (sometimes spelled Skolemnization ).
Ezekiel Elliott's time back in Dallas is over, the team announced Tuesday. The Cowboys have granted the 29-year-old running back's request for a release. Elliott will be placed on waivers, and ...
Notes: The definition is very asymmetric. The proof of x being in X is a single string. The proof of x not being in X is the collection of all strings, none of which is a proof of membership. For all x in X there must be a witness to its membership in X. The witness need not be a traditionally construed proof.
By Bo Erickson. WASHINGTON (Reuters) -January brings several consequential dates for the U.S. Congress as Republicans consolidate power as a result of last November's elections with full control ...
The California DMV apologized for a license plate appearing to mock the Oct. 7 attacks on Israel. The car owner's son said it was being misinterpreted.
In Fig. 2, a general rotation in which ω 1 = 1 and ω 2 = 5 is shown, while in Fig. 3, a general rotation in which ω 1 = 5 and ω 2 = 1 is shown. Below, a spinning 5-cell is visualized with the fourth dimension squashed and displayed as colour. The Clifford torus described above is depicted in its rectangular (wrapping) form.