A result of Hinchliffe 2003 is extended to transcendental entire function, and an alternative proof is given in this paper. Our main result is as follows: let α z be an analytic function, F a family of analytic functions in a domain D, and H z a transcendental entire function. If H ◦ f z and H ◦ g z share α z IM for each pair f z , g z ∈ F, and one of the following conditions holds: 1 H z −α z0...

This paper fortifies and defends the so called Sufficiency Argument (SA) against Classical Invariantism. In Sect. 2, I explain the version of the SA formulated but then rejected by Brown (2008a). In Sect. 3, I show how cases described by Hawthorne (2004), Brown (2008b), and Lackey (forthcoming) threaten to undermine one or the other of the SA’s least secure premises. In Sect. 4, I buttress one ...

the analytic signal method is usually used to interpret the magnetic and gravity anomalies. the main advantage of using analytic signal method in interpretation of magnetic source parameters from magnetic anomalies is that the amplitude dip of the analytic signal is independent of directional parameters like magnetization and the dip of the source. using the coefficient of the amplitude to esti...

In this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered. The homotopy analysis method (HAM) is used for solving this equation. Several examples are given to reconfirm the efficiency of these algorithms. The results of applying this procedure...