Calculus in the Appendix Simulating Ureteric Calculus

Calculus in the appendix simulating ureteric calculus.

Appendix B Vector Calculus in Three Dimensions

Before continuing on to the analysis of partial differential equations in three space dimensions, we should first review the fundamentals of three-dimensional vector calculus. The student is expected to have already encountered most of these topics in an introductory multi-variable calculus course. We shall be dealing with calculus on curves, surfaces and solid bodies in three-dimensional space...

Appendix A Vector Calculus in Two Dimensions

The purpose of this appendix is to review the basics of vector calculus in the two dimensions. Most, if not all, this material should be familiar to the student who has taken a basic course in multivariable calculus, but it is worth collecting together the necessary results. We will assume you are familiar with the basics of partial derivatives, including the equality of mixed partical (assumin...

Simulating the Measurement Calculus by Rewriting

The one-way model of quantum computing [RB01] has recently emerged as one of the most promising approaches to quantum computing. It is relatively straight forward to demonstrate one-way patterns which simulate the standard unitary gates of the more traditional quantum circuit model and hence realise any circuit computation by composing the appropriate gates. In contrast, the opposite translatio...

Efficacy of Shock Wave Lithotripsy in Lower Ureteric Calculus

Introduction: Extracorporeal shock wave lithotripsy (ESWL) and ureteroscopy (URS) are effective treatments in the management of ureteric calculus. ESWL is noninvasive, associated with less morbidity than URS. Moreover, URS requires specialized training, requires more anesthesia, and more often requires ureteral stent placement. We have analyzed the efficacy of ESWL in the management of lower ur...