Economical Apparatus

Ac 2007-1174: a Versatile and Economical Apparatus for Experiments in Statics

A student’s understanding of engineering concepts can be furthered through the use of hands-on experiments and demonstrations. For many students, the concepts of vectors, particle equilibrium, and rigid body equilibrium can be difficult to comprehend. In order to improve comprehension in these areas, we developed a single apparatus that provides for the operation of at least five experiments re...

Economical Numbers

A number n is said to be economical if the prime power factori-sation of n can be written with no more digits than n itself. We show that under a plausible hypothesis, related to the twin prime conjecture, there are arbitrarily long sequences of consecutive economial numbers, and exhibit such a sequence of length 9.

Technologies and Economical Evaluation

The electric system needs to balance supply and demand on a moment to moment basis. Energy commodities such as coal, oil and natural gas can be readily stored in massive quantities. However, the storage of electricity has been relatively complex and expensive. Today, with the changing ways in which electricity is generated and used, increased penetration of renewable energy sources and smart gr...

Economical Crime Control

Economical Graph Discovery

Consider a weighted n-vertex, m-edge graph G with designated source s and destination t. The topology of G is known, while the edge weights are hidden. Our goal is to discover either the edge weights in the graph or a shortest (s, t)-path. This is done by means of agents that traverse different (s, t)-paths in multiple rounds and report back the total cost they incurred. Various cost models are...