It has always been a goal in the medical sciences to develop diagnostic and imaging strategies having a minimum or no invasiveness and/or obliterating need of further invasive investigations. The differentiation of benign versus malignant tumors on the basis of imaging findings has always been a diagnostic dilemma as there is always some degree of overlap of imaging characteristics in both the ...

We introduce, and study, the regularity normality in ideal bitopological spaces, absent subject literature. Our definitions have advantage of using only open sets two underlying topologies. These new concepts represent generalizations Kelly’s pairwise normality. The extension T0, T1 T2 axioms to these spaces is due Caldas et al.

In this short note, we prove that if u solves $$(\partial _t - \Delta )^s = Vu$$ in $${\mathbb {R}}^n_x \times {\mathbb {R}}_t$$ , and vanishes to infinite order at a point $$(x_0, t_0)$$ then $$u \equiv 0$$ . This sharpens (and completes) our earlier result proves $$u(\cdot t) for $$t \le t_0$$ it

This paper deals with the boundary value problem involving the differential equation ell y:=-y''+qy=lambda y, subject to the eigenparameter dependent boundary conditions along with the following discontinuity conditions y(d+0)=a y(d-0), y'(d+0)=ay'(d-0)+b y(d-0). In this problem q(x), d, a , b are real, qin L^2(0,pi), din(0,pi) and lambda is a parameter independent of x. By defining a new...

The $L$-fuzzy approximation operator associated with an $L$-fuzzy approximation space $(X,R)$ turns out to be a saturated $L$-fuzzy closure (interior) operator on a set $X$ precisely when the relation $R$ is reflexive and transitive. We investigate the relations between $L$-fuzzy approximation spaces and $L$-(fuzzy) topological spaces.

Abstract Let Q be a differential operator of order $$\le 1$$ ≤ 1 on complex metric vector bundle $$\mathscr {E}\rightarrow \mathscr {M}$$ E → M with connection $$\nabla $$ ∇ over possibly noncompact Rie...