The refinements of the Erdös-Mordell inequality, given in the last section, involve six segments (R_{1}), (R_{2}), (R_{3}), (r_{1}), (r_{2}), (r_{3}) but not the geometric elements of (triangle ABC).
(Note that a feature type is defined by w = 2, 1, 0, the number of main factors in a TF combination as presented in the last section. For example, features involving two main factors are one type of features).
Furthermore, in the last section, we prove two interesting theorems involving a finite family of the set of solutions of variational inequality problem and variational inclusion problem.
Moreover, in the last section, we prove an interesting theorem involving the set of a finite family of κ i -strictly pseudo-contractive mappings and two sets of solutions of variational inequalities problems by using our main results.
This is the last section on "scattering and spectral" theory although it involves something closer to diffusion than scattering and the connection to spectral theory is weak.
Conclusions are discussed in the last section where we provide physical descriptions of the model calculations involved.
Interestingly, YDL167C, YDR361C, YJR003C and YLR196W were individually predicted to be involved in these processes by BALBOA in the last section.
Other varieties of push-ups, some of which involve deeper dips, done for added muscle-building, will usually involve slightly different hand positioning, and will be discussed in the last section.
