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  2. Approximate entropy - Wikipedia

    en.wikipedia.org/wiki/Approximate_entropy

    A comprehensive step-by-step tutorial with an explanation of the theoretical foundations of Approximate Entropy is available. [7] The algorithm is: Step 1 Assume a time series of data (), (), …, (). These are raw data values from measurements equally spaced in time. Step 2

  3. Boltzmann's entropy formula - Wikipedia

    en.wikipedia.org/wiki/Boltzmann's_entropy_formula

    Boltzmann's equation—carved on his gravestone. [1]In statistical mechanics, Boltzmann's equation (also known as the Boltzmann–Planck equation) is a probability equation relating the entropy, also written as , of an ideal gas to the multiplicity (commonly denoted as or ), the number of real microstates corresponding to the gas's macrostate:

  4. Entropy - Wikipedia

    en.wikipedia.org/wiki/Entropy

    Willard Gibbs, Graphical Methods in the Thermodynamics of Fluids The concept of entropy is described by two principal approaches, the macroscopic perspective of classical thermodynamics, and the microscopic description central to statistical mechanics. The classical approach defines entropy in terms of macroscopically measurable physical properties, such as bulk mass, volume, pressure, and ...

  5. Entropy (classical thermodynamics) - Wikipedia

    en.wikipedia.org/wiki/Entropy_(classical...

    Chemical potential. Particle number. In classical thermodynamics, entropy (from Greek τρoπή (tropḗ) 'transformation') is a property of a thermodynamic system that expresses the direction or outcome of spontaneous changes in the system. The term was introduced by Rudolf Clausius in the mid-19th century to explain the relationship of the ...

  6. Entropy of activation - Wikipedia

    en.wikipedia.org/wiki/Entropy_of_activation

    Entropy of activation determines the preexponential factor A of the Arrhenius equation for temperature dependence of reaction rates. The relationship depends on the molecularity of the reaction: for reactions in solution and unimolecular gas reactions. A = (ekBT/h) exp (ΔS‡/R), while for bimolecular gas reactions. A = (e2kBT/h) (RT/p) exp ...

  7. Entropy (statistical thermodynamics) - Wikipedia

    en.wikipedia.org/wiki/Entropy_(statistical...

    Entropy (statistical thermodynamics) The concept entropy was first developed by German physicist Rudolf Clausius in the mid-nineteenth century as a thermodynamic property that predicts that certain spontaneous processes are irreversible or impossible. In statistical mechanics, entropy is formulated as a statistical property using probability ...

  8. Standard molar entropy - Wikipedia

    en.wikipedia.org/wiki/Standard_molar_entropy

    The standard molar entropy at pressure = is usually given the symbol S°, and has units of joules per mole per kelvin (J⋅mol −1 ⋅K −1). Unlike standard enthalpies of formation, the value of S° is absolute. That is, an element in its standard state has a definite, nonzero value of S at room temperature. The entropy of a pure crystalline ...

  9. Symbolab - Wikipedia

    en.wikipedia.org/wiki/Symbolab

    Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3][4]

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