Higher-order compact difference schemes can achieve higher order accuracy on uniform grids. However, in some cases these may not achieve the desired accuracy. Therefore, this paper proposes a multigrid method based on higher-order compact difference scheme for 3D Helmholtz equation on nonuniform grids. Interpolation and restriction operators are designed accordingly. The suggested scheme has up...

In this paper I shall assess Clarke’s assertion that all definitions of miracles that purport to satisfy the criterion of religious inclusiveness should substitute the term ‘supernatural’ for ‘non-natural’. In addition, I shall attempt to strengthen Clarke’s conception of the supernatural by offering an analysis of what it means for something to be ‘above’ nature. Lastly, I shall offer a new ar...

This paper studies a linear regression model, whose errors are functional coefficient autoregressive processes. Firstly, the quasi-maximum likelihood QML estimators of some unknown parameters are given. Secondly, under general conditions, the asymptotic properties existence, consistency, and asymptotic distributions of the QML estimators are investigated. These results extend those of Maller 20...

In this paper we discuss applications and design of the agent-oriented, hp-adaptive projection-based interpolation technique. We describe the use of the mesh adaptation process to produce the most faithful representation of the input image in the Finite Element space. We discuss the advantages of the agent-oriented application model both in general and in terms of the hp-adaptive application pr...

Medicine in Egypt and Mesopotamia then attract the attention of the European scholar. India, China and Arabia come next. Greece and Rome are considered a little later. Then come the early Christian era from 1 A.D. to 500 A.D., the Middle Ages from 500 A.D. to 1500 A.D. and lastly the modem era from 1500 A.D. All the periods have got their rituals and ideologies maturing ultimately into the pres...

ing read in many parts of the book. Lastly, the topic is extremely broad and could have focused on smaller segments of PI3K signaling or on one effector, etc. As a common interest book, the book lacks focus and direction, but it does contain a large wealth of data and information that might be useful as a review or reference to the researcher interested in PI3K signaling or cell cycle regulatio...

A stereochemical test has been used to probe the mechanism of decarboxylative allylation. This probe suggests that the mechanism of DcA reactions can change based on the substitution pattern at the alpha-carbon of the nucleophile; however, reaction via stabilized malonate nucleophiles is the lower energy pathway. Lastly, this mechanistic proposal has predictive power and can be used to explain ...

The first stage in growth is' the "germination" oi the plantedsett. This implies, generally speaking, the growth of roots from the sett-the sett rootsof the buds, and lastly the production of roots from the base of the young shoot-the shoot roots. The relative importance of these two types of root is worth considering in detail, as it sheds some light on not only the question of good "germinati...

Gnedenko, the father of the modern Reliability Theory, first derived some fundamental properties of reliable systems following rigid deductive logic. This paper shares the deductive method and infers four principal properties of repairable/maintainable systems using the Boltzmann-like entropy. In particular we calculate the reparability function and next discuss the physical meanings of the for...

From Figure A, protein bands on SurePAGE were more evenly distributed compared to competitor B’s Tris-Glycine gel, in which proteins in the middle parts of the gel were clustered. In addition, more bands were visualized on SurePAGE compared to both competitor B and homemade Tris-Glycine gels (zoomed panel). Lastly, SurePAGE offers slightly better resolution compared to Competitor T’s Bis-Tris g...