equation

(redirected from Equation of motion)
Also found in: Dictionary, Thesaurus, Medical, Legal, Encyclopedia, Wikipedia.

equation

a means of portraying arithmetically the relationship between VARIABLES. For example, the equation: C = 1,000 + 0.9Y suggests a particular relationship between consumer expenditure (C) and disposable income (Y), which would be true for certain values of C and Y (such as 10,000 and 10,000 respectively) but not true of other values of C and Y (such as 6,000 and 10,000 respectively). Equations are generally written with a two-bar equals sign (=), with the value to the left of the sign being equal to the value to the right of the sign. The validity of an equation can be tested statistically by collecting paired observations of the variables involved and testing whether or not these observations conform with the equation formulated. See IDENTITY.
References in periodicals archive ?
To obtain the equation of motion of the machine, the expression (1) should be considered in conjunction with equation (2).
The main goal of this work is to derive the equation of motion in fractional form for the single fluid from the fractional Lagrangian density and from the fractional Hamiltonian density also to determine the energy-stress tensor in fractional form also, by using Caputo's fractional derivative.
Solves equation of motion (16) for clutch engagement
In Rueda's approach, the classical particle was considered as a homogeneously charged rigid sphere and to find the energy absorbed by the particle, the radiation damping and binding terms were neglected when compared to the force term in the Lorentz Abraham equation of motion.
The differential equation of motion for three dimensions vibration of a frame pipe carrying a moving fluid is [8]:
The integration of the differential equation of motion is calculated assuming that the acceleration is constant for small steps (Euler's integration).
It may be obtained if the structure velocity term in the Morison equation is transferred from the force vector on right hand side to the damping term on the left hand side in the governing equation of motion.
The above equation of motion of particles can also derive from Equation (5) by another method.
The introductory chapter addresses dynamic response, formulation of the equation of motion, dynamic degrees of freedom, modeling, analysis, and testing.
We now consider the equation of motion of yarn (Pracek, 2002):
The pressure component was excluded from the equation of motion by relating pressure to the equation of continuity manipulated by the huge constant penalty number [[lambda].