To have things under a better control, when working with Excel, the goal is always to keep at minimum the worksheet space and the variables utilized, trying to maximize the results we want to achieve. For the differential equation y˙=f(t,y) where y(t0) = y0 the Runge-Kutta of ...
The resulting equation is commonly referred to as Michaelis-Menten equation. The success or usefulness of this equation cannot be underestimated, as it has been applied to cases where the simple mechanistic model it implies is not nearly close to the real case. We shall examine why this is ...
Using a textbook analysis [9], and inserting all the proper values as shown in the Mathematica [11] worksheet of Appendix A5.1, the normalized power density at the plane of observation, halfway in the y direction, as shown in Figure 5.1A, becomes: (5.1)Pd≃[cos2(12.56ysin2(26.92x)...
Like in Cochrane (2005), the use of a selection equation requires making assumptions on the distribution of returns. They employ a more recent (and more complete) version of the Sand Hill Econometric data and find an alpha of about 30%. Their estimate of beta is 2.8. Gross return ...
Equation (1) shows the expression found for the temperature field in a fully buried pipe: (1)T≈−Bpaburα+BpBg(1+cosβ)(cosha0+cosβ−Bpaburα0+BpBg(1+cosβ)) where B represents the Biot number of the pipe or ground, and α and β are bipolar cylindrical coordinates. The ...
F.10 in Appendix F, calculates the compressibility factor based on the Lee–Kesler equation of state once temperature (in K) and pressure (in bar) are specified. Example 3.16 Solve Example 3.2 if ethylene obeys the principle of corresponding states. Solution From the Mathcad worksheet shown ...
Using a textbook analysis [9], and inserting all the proper values as shown in the Mathematica [11] worksheet of Appendix A5.1, the normalized power density at the plane of observation, halfway in the y direction, as shown in Figure 5.1A, becomes: (5.1)Pd≃[cos2(12.56ysin2(26.92x)...
and nonrejecting. A written behavior change contract is a useful adjunct to office intervention. One example is the Change Plan Worksheet illustrated inFigure 45-6(Miller et al, 1994). In the example shown, the young person has contracted to stop using alcohol and drugs and to enter a forma...
Despite a large body of data on bioerosional rates, there is enormous variation in their reliability and applicability. The type of organism must be considered in interpreting the data; whereas the work of borers is concentrated into a small area, grazers operate over a large area. Nevertheless...
(Khatib et al., 2012). The second methodology empirically correlates the dirt derating factor to the PV surface area using the regression analysis to have a more straightforward but less accurate equation (see Eq.(10)). It is worth noting that the average deviation between the results of the...