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  2. Degrees of freedom (statistics) - Wikipedia

    en.wikipedia.org/.../Degrees_of_freedom_(statistics)

    In equations, the typical symbol for degrees of freedom is ν (lowercase Greek letter nu).In text and tables, the abbreviation "d.f." is commonly used. R. A. Fisher used n to symbolize degrees of freedom but modern usage typically reserves n for sample size.

  3. Machine taper - Wikipedia

    en.wikipedia.org/wiki/Machine_taper

    The taper angle of the Morse taper varies somewhat with size but is typically 1.49 degrees (around 3 degrees included). Some modular orthopedic total hip implants use a Morse taper to mate components together. [2] Similarly, some dental implants use a Morse taper to connect components. [3]

  4. Degrees of freedom - Wikipedia

    en.wikipedia.org/wiki/Degrees_of_freedom

    In many scientific fields, the degrees of freedom of a system is the number of parameters of the system that may vary independently. For example, a point in the plane has two degrees of freedom for translation : its two coordinates ; a non-infinitesimal object on the plane might have additional degrees of freedoms related to its orientation .

  5. Degrees of freedom (physics and chemistry) - Wikipedia

    en.wikipedia.org/wiki/Degrees_of_freedom_(physics...

    By the equipartition theorem, internal energy per mole of gas equals c v T, where T is absolute temperature and the specific heat at constant volume is c v = (f)(R/2). R = 8.314 J/(K mol) is the universal gas constant, and "f" is the number of thermodynamic (quadratic) degrees of freedom, counting the number of ways in which energy can occur.

  6. Morse - Wikipedia

    en.wikipedia.org/wiki/Morse

    Morse code, a method of coding messages into long and short beeps, invented by Samuel Morse; Morse potential, a model interatomic potential energy function; Morse taper, a type of machine taper invented by Stephen A. Morse; Morse theory, in mathematics; Morse Farm (disambiguation) Morse Field (disambiguation) All pages with titles beginning ...

  7. Tapering (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Tapering_(mathematics)

    An example of a linear taper is () = +, and a quadratic taper () = + +. As another example, if the parametric equation of a cube were given by ƒ ( t ) = ( x ( t ), y ( t ), z ( t )), a nonlinear taper could be applied so that the cube's volume slowly decreases (or tapers) as the function moves in the positive z direction.

  8. Morse potential - Wikipedia

    en.wikipedia.org/wiki/Morse_potential

    The Morse potential, named after physicist Philip M. Morse, is a convenient interatomic interaction model for the potential energy of a diatomic molecule.It is a better approximation for the vibrational structure of the molecule than the quantum harmonic oscillator because it explicitly includes the effects of bond breaking, such as the existence of unbound states.

  9. Discrete Morse theory - Wikipedia

    en.wikipedia.org/wiki/Discrete_Morse_theory

    Discrete Morse theory is a combinatorial adaptation of Morse theory developed by Robin Forman. The theory has various practical applications in diverse fields of applied mathematics and computer science , such as configuration spaces , [ 1 ] homology computation, [ 2 ] [ 3 ] denoising , [ 4 ] mesh compression , [ 5 ] and topological data analysis .

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