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In mathematics, the Kuramoto–Sivashinsky equation (also called the KS equation or flame equation) is a fourth-order nonlinear partial differential equation. It is named after Yoshiki Kuramoto and Gregory Sivashinsky , who derived the equation in the late 1970s to model the diffusive–thermal instabilities in a laminar flame front.
Rhenium–osmium dating is a form of radiometric dating based on the beta decay of the isotope 187 Re to 187 Os.This normally occurs with a half-life of 41.6 × 10 9 y, [1] but studies using fully ionised 187 Re atoms have found that this can decrease to only 33 y. [2]
This is a collection of temperature conversion formulas and comparisons among eight different temperature scales, several of which have long been obsolete.. Temperatures on scales that either do not share a numeric zero or are nonlinearly related cannot correctly be mathematically equated (related using the symbol =), and thus temperatures on different scales are more correctly described as ...
68 Ga-Trivehexin [1] is a radiotracer for positron emission tomography (PET), obtained by labeling the peptide conjugate Trivehexin [1] with the a positron emitting radionuclide gallium-68 (68 Ga).
T c = 562.12 K [3] P c = 4898 kPa [3] T b = 353.15 K [4] ω = 0.2120 [5] the following calculation for T = T b results: T r = 353.15 / 562.12 = 0.628247; f (0) = −3.167428; f (1) = −3.429560; P r = exp( f (0) + ω f (1)) = 0.020354; P = P r · P c = 99.69 kPa; The correct result would be P = 101.325 kPa, the normal (atmospheric) pressure ...
kT (also written as k B T) is the product of the Boltzmann constant, k (or k B), and the temperature, T.This product is used in physics as a scale factor for energy values in molecular-scale systems (sometimes it is used as a unit of energy), as the rates and frequencies of many processes and phenomena depend not on their energy alone, but on the ratio of that energy and kT, that is, on E ...
Putting B = μH and D = ϵE, as above, we can eliminate B and D to obtain equations in only E and H: = =. If the material parameters ϵ and μ are real (as in a lossless dielectric), these equations show that k, E, H form a right-handed orthogonal triad, so that the same equations apply to the magnitudes of the respective vectors.
Fundamental solution of the one-dimensional heat equation. Red: time course of (,).Blue: time courses of (,) for two selected points. Interactive version. The most well-known heat kernel is the heat kernel of d-dimensional Euclidean space R d, which has the form of a time-varying Gaussian function, (,,) = (,) = / ‖ ‖ / which is defined for all , and >. [1]