In this paper, we do exactly what the title implies: prove the Čebotarev Density Theorem. This is an extremely valuable theorem because it is a vast generalization of Dirichlet's Theorem on primes in an arithmetic progression. Our theorem goes even further to the case of other number fields; we will show that the prime ideals in an imaginary quadratic field K are virtually equidistributed among the conjugacy classes of Artin symbols in the Galois group of a Galois extension L over K. Note that L need not be abelian over K!
The output of this graph is used as Figure 1 of the paper: Wangyan Li, Zidong Wang, Guoliang Wei, Lifeng Ma, Jun Hu, and Derui Ding, “A Survey on Multisensor Fusion and Consensus Filtering for Sensor Networks,” Discrete Dynamics in Nature and Society, vol. 2015, Article ID 683701, 12 pages, 2015. doi:10.1155/2015/683701.
It's based on http://www.texample.net/tikz/examples/hierarchical-diagram/.
Relevant link: http://tex.stackexchange.com/questions/226461/how-to-draw-hierarchical-graph-like-this-one.
This file implements a poster template for the 2014 Radboud
University corporate style.
For comments, questions, and suggestions contact me at
You can distribute and edit the files as you wish, but I'd
love to hear of any changes. Also, if you let me know that
you are using the template, I can keep you up-to-date on
This is a template for preparing papers to be submitted for presentation at the Transportation Research Board (TRB) Annual Meeting and for publication in the Transportation Research Record, Journal of the Transportation Research Board.
David Pritchard, Gregory S. Macfarlane, Chieh (Ross) Wang
This is the template used in Physics 211 (calculus-based mechanics) as taught at Cortland High School in Cortland, NY.
The abstract should be a short 3-5 sentence paragraph. In it, you should state the hypothesis, what you did, and what you found. The abstract is meant to be a very short summary of your paper to follow. It is a good suggestion to write the abstract last in your report after you have written everything else. This will allow you to best summarize your work.