In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ mathcal{H} $ wi...

In this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. Hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.

We assess the accuracy of various state-of-the-art statistics and machine learning methods for reconstructing gene and protein regulatory networks in the context of circadian regulation. Our study draws on the increasing availability of gene expression and protein concentration time series for key circadian clock components in Arabidopsis thaliana. In addition, gene expression and protein conce...

BACKGROUND Villous duodenal adenomas are rare, tend to malignant alteration and recurrency if surgical procedures are not sufficiently radical. They are mostly localized in the second portion of the duodenum and close to a papilla and are prone to malignant alteration. CASE REPORT In this paper we presented a 79-year-old female patient already operated on twice elsewhere due to obstructive ja...

BACKGROUND Epidemiological studies about cardiovascular diseases often rely on methods based on time-to-first-event for data analysis. Without taking into account multiple event-types and the recurrency of a specific cardiovascular event, this approach may underestimate the overall cardiovascular burden of some risk factors, if that is the goal of the study. METHODS In this study we compare f...

Let P be a locally finite disk pattern on the complex plane C whose combinatorics is described by the one-skeleton G of a triangulation of the open topological disk and whose dihedral angles are equal to a function Θ : E → [0, π/2] on the set of edges. Let P ∗ be a combinatorially equivalent disk pattern on the plane with the same dihedral angle function. We show that P and P ∗ differ only by a...

A radioimmunoassay (RIA) for the measurement of thyroglobulin in human serum was developed and factors that influence sensitivity were investigated. In a comparison of 3 different labeling procedures (chloramine T, iodogen, lactoperoxidase) iodogen-prepared tracer proved to be slightly superior with respect to sensitivity and stability. The shelf life of the tracer was improved by a protein-enr...

for a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. this class of rings includes the right principally quasi-baer rings and hence all prime rings. a certain n-generalized principally quasi-baer subring of the matrix ring are studied, and connections...

Let L be the generalized mixed product ideal induced by a monomial ideal I. In this paper we compute powers of the genearlized mixed product ideals and show that Lk  have a linear resolution if and only if Ik have a linear resolution for all k. We also introduce the generalized mixed polymatroidal ideals and prove that powers and monomial localizations of a generalized mixed polymatroidal ideal...