Such a curve may cross itself, or have a cusp, or even separate into two or more components not connected to each other.
It can be seen that the values of α, β, λ, t have a different effect on the probability density of the particles, but all of these curves have a cusp.
The electronic specific heat in the superconducting state (designated Ces) is smaller than in the normal state (designated Cen) at low enough temperatures, but Ces becomes larger than Cen as the transition temperature Tc is approached, at which point it drops abruptly to Cen for the classic superconductors, although the curve has a cusp shape near Tc for the high-Tc superconductors.
It means that for those values of (ell)'s, (h(partial D_ell )) has a smooth boundary at (h z_0)), and for the other values of (ell)'s, (h(partial D_ell )) has a cusp at (h z_0)).
Notice that (varphi _0) is not (C^1) at (varvec{r}=0) but has a cusp there, i.e. begin{aligned} varvec{nabla }varphi _0 varvec{r}) = -frac{varvec{r}}{r} e^{-r} end{aligned} (19.9 so that the limit of the derivative ar (varvec{r}=0) is directionally dependent.
The λ 1 ∗ - λ curve has a horizontal tangent at the bifurcation point B (see Fig. 8(b)), whereas the λ 2 ∗ - λ curve has a cusp of second kind, with a tangent normal to the diagonal, i.e. to the dashed line in Fig. 8(a) and (c).
Like Hollis, singer and lyricist Guy Garvey has a cusp-of-quiet-desperation catch in his voice as he floats across Little Beast, a portrait of smalltown, small-time ennui and violence, and wearily lists his own failings in death- rattle fashion on the even more etiolated Can't Stop.
It is well known that for some potentials, such as, e.g., the 3D isotropic harmonic trap [ 14, 16, 18, 19, 34, 35], the heat capacity has a cusp-like peculiarity as it passes through the critical temperature while for the 1D quadratic potential it is a smooth function of T [ 16, 18, 35].
This was important in that although Eurymylus was not known to have a central cusp due to advanced wear in known specimens, it had two buccal cusps that were interpreted to be the paracone and metacone.
The upper teeth have a large cusp rising from a broad base, with a notch on each side; these teeth become increasingly angled towards the corners of the mouth.
The supernumeraries usually have a reduced cusp pattern and do not resemble normal mouse molars.
