The feedback given by human tutors is strongly based on their evaluation of the correctness of student’s contributions [7]. A typical approach to verification of contributions in ITSs is model tracing, in which contributions are matched against a precomputed solution graph [1,3]. However verifying steps in mathematical theorem proving poses particular problems because there are possibly infinit...

calculating total cast of bank resources procurement methods which include current -free loan deposit, saving interest-free loan deposit, regular and net short-term investment deposit, long-term investment deposit and surety bond cash deposit and presenting their optimal integration require precise scientific studies. hence, this study is an attempt to know which methods are the best optimal in...

in this paper, we present an analytical method for solving a well-posed boundary value problem of mathematical physics governing the vibration characteristics of an internal flow propelled fluid-structure interaction where the pipeline segment is idealized as an elastic hollow beam conveying an incompressible fluid on a viscoelastic foundation. the effect of coriolis and damping forces on the o...

The Domenico solution is widely used in several analytical models for simulating ground water contaminant transport scenarios. Unfortunately, many textbook as well as journal article treatments of this approximate solution are full of empirical statements that are developed without mathematical rigor. For this reason, a rigorous analysis of this solution is warranted. In this article, we presen...