Using the background-metric independence for the traceless mode as well as the conformal mode, 4D quantum gravity is described as a quantum field theory defined on a non-dynamical backgroundmetric. The measure then induces an action with 4 derivatives. So we think that 4-th order gravity is essential and the Einstein-Hilbert term should be treated like a mass term. We introduce the dimensionles...

The problem concerning elimination of causes and its impact has been a longstanding problem in the field of survival analysis. In this paper, a covariate dependent model based on proportional hazards has been proposed. In addition, a test procedure is suggested for testing the independence of competing risks based on Islam [1, 2]. The estimation and test procedures are applied to analyze the co...

Web-based instruction programs are used by learners with diverse knowledge, skills and needs. These differences determine their preferences for the design of Web-based instruction programs and ultimately influence learners’ success in using them. Cognitive style has been found to significantly affect learners’ preferences of web-based instruction programs. However, the majority of previous stud...

We give sufficient cohomological criteria for the classes of given varieties over a field k to be algebraically independent in the Grothendieck ring of varieties over k and construct some examples.

The graph copy function when restricted to the set of trees or of rooted trees is called the tree copy function or the rooted tree copy function, respectively. We show that both the set of tree copy functions and the set of rooted tree copy functions are strongly linearly independent. We also show that the set of all tree copy functions are algebraically independent but the set of all rooted tr...

Field dependence-independence (FD/FI) is an important dimension of cognitive styles. The current thesis seeks to identify individuals’ level of field independence during visual stimulus tasks processing. It intends to examine brain signals with the use of the EEG neuroimaging method and the eye tracking device. Specifically, it aims to value the relationship between the Hidden Figure Test (HFT)...

For purposes of regularization as well as numerical simulation, the discretization of Lorentz invariant continuum field theories on a space-time lattice is often convenient. In general this discretization destroys the rotational or Lorentz-frame independence of the theory, which is only recovered in the continuum limit. The Baxter 8-vertex model may be regarded as a particular discretization of...

Like real general-purpose processors, Java Virtual Machines (JVMs) need hardware acceleration for computationally intensive applications. JVMs however require that platform independence can be maintained while resorting to hardware acceleration. To this end, we invented a scheme to seamlessly add hardware support to Sun’s HotSpot JVM. By means of run-time profiling, we select the most heavily u...

Over a finite field Fqm , the evaluation of skew polynomials is intimately related to the evaluation of linearized polynomials. This connection allows one to relate the concept of polynomial independence defined for skew polynomials to the familiar concept of linear independence for vector spaces. This relation allows for the definition of a representable matroid called the Fqm[x;σ]-matroid, wi...