Checking linear dependence of a finite number of vectors is a basic problem in linear algebra. We aim to extend the theory of linear dependence to parametric vectors where the entries are polynomials. This dependency depends on the specifications of the parameters or values of the variables in the polynomials. We propose a new method to check if parametric vectors are linearly dependent. Furthe...

Introduction: It remains controversial on high risks for early breast cancer patients with one to three axillary nodes after mastectomy who is predisposition to locoregional recurrence. The present study is to investigate the relationship between primary tumor site and loco-regional recurrence (LRR) and explore the predictive value of clinicopathological characteristics in LRR for early breast ...

The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence. A few important results like deletion theorem, extension theorem, dimension theorem have been established in this hypervector space.

We report an experimental demonstration of generating electron spin polarization with linearly polarized light in a (110) GaAs quantum well. A detailed frequency-domain pump-probe study shows that the dynamic nuclear spin polarization arising from the oriented electron spins results in a strong dependence of the electron spin splitting on the photon energy and intensity of the linearly polarize...

As more businesses realized that data, in all forms and sizes, is critical to making the best possible decisions, we see the continued growth of systems that support massive volume of non-relational or unstructured forms of data. Nothing shows the picture more starkly than the Gartner Magic quadrant for operational database management systems, which assumes that, by 2017, all leading operationa...

Kraljic’s purchasing portfolio approach has inspired many academics to undertake further research into purchasing portfolio models. Refined models typically recommend one purchasing strategy for each portfolio quadrant. Yet, it has been shown that purchasers make a clear distinction between alternative purchasing strategies within each quadrant. The fundamental assumption of portfolio models se...

We study the dependence of quark condensate Σ on an external magnetic field. For weak fields, it rises linearly: Σ(H) = Σ(0)

Economists have become interested in the behavior of random processes with positive feedback but have sometimes found it difficult to introduce students to this research. Simulation of the law of large numbers with increasing amounts of feedback provides a convenient framework for such discussion and facilitates a nontechnical introduction to recent work on path dependence.

While many heterodox economic scholars hope for a paradigmatic change in economics due to the great financial crisis, this paper emphasizes that path-dependent elements and institutional factors within the economic community constitute a substantial barrier for paradigmatic change. Focusing on the citation behavior of economists in heterodox journals in general and in Post-Keynesian journals in...