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In this article we present an efficient time lagging interface prediction method with implicit correction (TLIC) for the solution of multi dimensional parabolic problem defined over non overlapping subdomains. The time lagging method have been implemented with different integral multiples spatial spacing displacements from the interface line(s). We considered the additive splitting up method with respect to the spatial variables to solve the multi dimensional parabolic problem over each subdomains. The proposed method have been implemented to solve two dimensional model problem over multi non overlapping subdomains with respected to each spatial variable. [ABSTRACT FROM AUTHOR]

The aim of this article is to introduce the important tutorial matters related to the specific field of parabolic antennas and to give an overview as complete as possible on the key parameters and factors to understand the operation of this widely used tool to transmit and receive radiowaves. The simplest way to collect electromagnetic energy is to use a paraboloidal mirror only. Exploiting the geometric definition, a plane wave incoming at different points of the parabolic surface will be focused at the focus of the parabola.

Newton's achievements in celestial mechanics tend in popular accounts to be underestimated in some respects, exaggerated in others. This chapter seeks to correct a number of misconceptions arising from inattention to the detailed history. [ABSTRACT FROM AUTHOR]

The first edition of Isaac Newton's Principia was published in 1687, followed by a second edition in 1713 and a third in 1726, the year before he died. The Principia is universally held to have been a major turning point in natural philosophy in the seventeenth century. That turning point is clearly reflected in the comparison of the title of Descartes's 1644 Principles of Philosophy with the title of Newton's Mathematical Principles of Natural Philosophy. Even though both men were noted mathematicians, Newton's book is distinguished from that of Descartes by virtue of being a mathematical description of nature. In the General Scholium of the second edition Newton sets out the difference quite clearly: “But hitherto I have not been able to discover the cause of those properties of gravity from phenomena, and I frame no hypotheses . . . And to us it is enough, that gravity does exist, and acts according to the [mathematical] laws which we have explained.” Although Newton was strongly influenced by the Cartesian mechanical philosophy during the first two decades of his scholarly work, he nevertheless expressed himself analytically from the very beginning of his work in 1664. By 1684, however, he had rejected Cartesian mechanical explanations for gravity, and in the Principia he emphasized the analytical expression of the inversesquare law for gravity. The final impetus for that rejection came from Newton's correspondence in 1679 with Robert Hooke, which led Newton to derive Kepler's area law as a geometrical measure of time to employ in analyzing orbital motion. That same correspondence has shown that Newton's later work is an extension, not a revision, of his earlier work. [ABSTRACT FROM AUTHOR]

A chapter from the book "Think of a Number: A Fascinating Look at the World of Numbers" is presented. It focuses on cones and curves. A parabola is a curve that was discovered by Italian scientist Galileo which also led to the discovery of the force of gravity. An ellipse is the line created by all points whose combined distance from the two foci is the same.