The papers [11], [13], [1], [15], [2], [8], [9], [16], [5], [12], [10], [4], [6], [7], and [14] provide the notation and terminology for this paper. In this paper x denotes a real number and Z denotes an open subset of R. One can prove the following propositions: (1) Suppose Z ⊆ dom((the function tan) ·(the function cot)). Then (i) (the function tan) ·(the function cot) is differentiable on Z, ...

The graphene interlayer spacing in pure graphite is known to have a minimum value of dmin=0.3354 nm, while defective graphites typically have larger interlayer spacings. Using x-ray diffraction, we find that the graphene interlayer spacing in multi-walled carbon nanofibers heat treated above 2800 K is distinctly smaller than dmin. To explain this unusual observation, we investigate the structur...

We propose a transient interlayer compression in two-dimensional compound materials by using an intense IR laser resonant with the out-of-plane optical phonon mode (A(2u) mode). As a test case, we studied bilayer hexagonal boron nitride (h-BN), which is one of the compound layered materials. Excited state molecular dynamics calculations using time-dependent density functional theory show an 11....

The formation and morphological evolution of germanides formed in a ternary Ni/Ta-interlayer/Ge system were examined by ex situ and in situ annealing experiments. The Ni germanide film formed in the Ni/Ta-interlayer/Ge system maintained continuity up to 550°C, whereas agglomeration of the Ni germanide occurred in the Ni/Ge system without Ta-interlayer. Through microstructural and chemical analy...

The study focuses on the critical interlayer thickness for averting pore formation during transient liquid phase (TLP) bonding in the Cu–Sn system. Such pores are a consequence of the growth and subsequent contact of Cu6Sn5 intermetallic grains on the two surfaces to be bonded, prior to the formation of the transient liquid phase. A criterion for the critical interlayer thickness is developed, ...

The naive Bayesian classifier is a simple and effective classification method, which assumes a Bayesian network in which each attribute has the class label as its only one parent. But this assumption is not obviously hold in many real world domains. Tree-Augmented Naive Bayes (TAN) is a state-of-the-art extension of the naive Bayes, which can express partial dependence relations among attribute...