The aim of this paper is to find a closed form of the integrals ∫
= 0, 1, 2, … using the Maple computer algebra system. Although Maple 10 is not capable to calculate these integrals in one step, it turns out to be a very useful tool to solve this and similar kind of complex mathematical problems. During the problem solving process Maple proves that it is useful and, what is more, it is an indispensable partner. Maple helps us to formulate our conjecture, acts as an advisor and, last but not least, performs complex symbolic calculation instead of us.
The first known drawings of machines can be found in warfare-themed manuscripts. The oldest of them dates back to the 14th century, but their proliferation took place in the 15th century. During the century an almost standardized drawing style, vocabulary was developed, which also survived throughout the Renaissance.
Compared to the relatively high number of the survived warfare-related manuscripts that included drawings (their number is above 50), the representation of machines for civil usage is very rare throughout the century, even though the architectural drawings also proliferated during this century, and they also introduced a distinct representation style.
The survived portfolio of the Strasbourg master builder Hans Hammer lies at the intersection of this two disciplines: it includes both machine and architectural drawings in a large number. Given the occupation of the master, it can safely assumed that in contrast to those found in the majority of the contemporary machine drawings, his machines served civil purposes.
In this article the following questions are discussed: how do Hans Hammer’s machine drawings fit in the corpus of the contemporary machine drawings both by drawing style and function; and with which manuscripts can a direct connection be made?
strategy based on a semantic hierarchy of spatial representations ,” Robot. Autonom. Sys. , vol. 8 , no. 1–2 , pp. 47 – 63 , 1991 . 10.1016/0921-8890(91)90014-C  J. Guivant and E. Nebot , “ Optimization of the simultaneous localization and map
Authors:Sommai Khantong, Mohammad Nazir Ahmad Sharif, and Ahmad Kamil Mahmood
the dynamic aspect of the domain, respectively. The representations of endurant and perdurant ontologies described above provide a useful way to develop our domain ontology that is well-founded, using philosophically grounded foundational ontologies
displays the 3D dataset without computing any intermediate geometry representations [ 12 ]. The basic idea behind it is casting a ray into the volume from each pixel of the screen, sampling the volume along the ray in a front-to-back or back-to-front order