Although it appears clear that the addition of liraglutide to a calorie-restricted diet led to more weight loss and significant improvement in cardiometabolic risk factors as compared with diet alone, it is not clear how much of the beneficial effect of liraglutide is simply a function of the augmented weight loss.
Figure 2 shows an example of such a test, and clearly shows that the conditional mass function of augmented trees agrees very closely with that of trees grown directly to the same resolution.
It turns out that an upper bound of the convergence rate is bounded by a function of the condition number of the augmented coefficient matrix of the CDMJLMEs.
Brownian-motion-induced micro-mixing; heat-resistance lowering liquid-molecule layering at the particle surface; higher heat conduction in metallic nanoparticles; preferred conduction pathway as a function of nanoparticle shape, e.g., for carbon nanotubes; augmented conduction due to nanoparticle clustering.
In general, anomalous thermal conductivity enhancement of nanofluids may be due to: Brownian-motion-induced micro-mixing; heat-resistance lowering liquid-molecule layering at the particle surface; higher heat conduction in metallic nanoparticles; preferred conduction pathway as a function of nanoparticle shape, e.g., for carbon nanotubes; augmented conduction due to nanoparticle clustering.
Yield surface predictions calculated from the augmented and traditional models indicate that grain size distribution as a function of lattice orientation may play a significant role in explaining the large yield strength anisotropy of rolled α-titanium.
Future studies may thus benefit from considering transfer function analysis of augmented sinusoidal MAP oscillations forced through various repeated manoeuvers.
By utilizing these special properties of the inputs on an existing piecewise Lyapunov function of the augmented state vector containing the deadzone function of inputs, we design a separate anti-windup gain for each region of the input space.
For that, we introduce a new class of signals, called widely factorizable, whose correlation function of the augmented vector formed by the signal and its conjugate is a factorizable kernel.
Note that condition (2) implies (1), however condition (1) does not assure that the correlation function of the augmented vector satisfies (2).
