This template has all of the macros I have found useful in the past 4 years of my undergrad. I got most of these macros from my REU mentor Prof. Raul Gomez. This should be useful for anyone doing algebra/topology/algebraic geometry/geometry/category theory or anything else using diagrams. Also has some useful templates for theorems, lemmas, observations and proofs. It has all of the standard things that mathematician need in her preamble, like hyperref, amsmath, all the packages that are used for commutative diagrams, and much more.
Simultaneous information and energy transfer (SIET) is attracting much attention as an effective method to provide green energy supply for mobiles. However, low power level of harvested energy from RF spectrum limits application of this technique. Thanks to improvement of sensitivity and efficiency of RF energy harvesting circuit as well as dense deployment of small cell base stations, SIET becomes more practical. In this paper, we propose a unified receiver model for SIET in LTE-A small cell base station networks, formulate a feasibility problem with Poisson point process model and analyze the feasibility for a special and practical scenario. The results show that it is feasible for mobiles to charge the secondary battery with harvested energy from BSs, but it is still impractical to directly charge the primary battery or operate without any battery at all.