The phrase 'support equation' is not a commonly used phrase.
In general, people use the phrase 'supporting equation' to refer to an equation that helps illustrate or explain a concept or idea. For example, one could say, "This supporting equation helps explain why the acceleration of the object is decreasing."
A large body of evidence supports Equation 1 as an accurate characterization of response-reinforcement functions like those in Figure 2[ 53- 56].
We have implemented a compiler for key parts of Modelica, an object-oriented language supporting equation-based modeling and simulation of complex physical systems.
To achieve this new supporting equations had to be derived to allow the estimation of the dependent variables, We (the equilibrium adsorption capacity) and kv (the overall mass transfer coefficient), under different circumstances.
Many of the supported equations are further limited to a specific functional form, e.g. ordinary differential equations following the chemical master equation [ 17].
Due to its wide-spread acceptance in the field of rock engineering, the Geological Strength Index (GSI) is adopted in support pressure equation.
The Structural Model supports algebraic equations, ordinary differential equations (ODEs) with initial conditions, and delay differential equations (DDEs) with history definition.
Recently, Galewski [11] used a variational approach to investigate the nonlinear elastic simply supported beam equation, and Grossinho et al. [12] studied the solvability of an elastic beam equation in presence of a sign-type Nagumo control.
Due to the geometric asymmetry of the rotor and to the rotational motions of the support, the equations of motion include time-varying parametric terms which can lead to lateral dynamic instability.
For higher contact angles fluid flow is significantly slower than for low contact angles, a conclusion supported by Equation 4. The air-water interface position and the filling time (time required for the meniscus to travel from the inlet to outlet of the device) were determined from the video files captured using the CMOS camera.
The average lifetime, for each point (Supporting Information, Equation S2), amounted to τav=0.7±0.2 ns.
The time profiles were fitted using a double exponential function (Supporting Information, Equation S1).
