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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.
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]
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 .
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.
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 ...
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.
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.
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 .