Eachside mustequalthesameseparati onstantC ,andsowehavetwoordinarydifferentialequations 1 d ( 2 dR(r) ) r = C, (2.53) R(r) dr dr − 1 d ( dΘ(θ) ) sinθ = C. (2.54) Θ(θ) sinθ dθ dθ Wewillfirsttackletheradialequation(Eq.2.53), andtosimplifylaterworking(we’ll...
The special case of a poly-essential model—the k-essential analogue of an ordinary polytropic fluid—is examined and shown to be well behaved (like the fluid) only if the pressure to density ratio w is positive. This is a preview of subscription content, log in via an institution to ...
View PDFView articleView in ScopusGoogle Scholar Tenenbaum and Pollard, 2012 M. Tenenbaum, H. Pollard Ordinary Differential Equations. Dover Books on Mathematics Series, Dover Publications, Incorporated (2012) Google Scholar Van Dooren et al., 2012 Van Dooren, P. and Wyman, B. (2012). Linear...
It even supports systems of linear equations and ordinary differential equations. How about physic science? Constants and units are provided out of the box. Simply enter physical formulas with the corresponding units and convert results to the units you prefer. The other interesting is that you can...
Human beings are able to adapt their behavior in varying social and emotional contexts [35]. For example, an ordinary human being would not crack a joke at a funeral, and would be more conservative with humor in a work party than in a party with close friends. While humor is just one ...
Figure 1 illustrates the procedure for determining the work required by creating a fracture surface in ordinary DENT specimens. The specimen is loaded in tension until the strip L yields completely at the maximum load and the two plastic zones that form at the crack tips come into contact [44...