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@article{Soucek1982,
author = {Sou{\v{c}}ek, Vl.},
doi = {10.1007/BF01596718},
file = {:Users/Ty/Documents/Mendeley Desktop/Sou{\v{c}}ek{\_}1982{\_}Complex quaternions, their connection to twistor theory.pdf:pdf},
issn = {0011-4626},
journal = {Czechoslovak Journal of Physics},
month = {jun},
number = {6},
pages = {688--691},
title = {{Complex quaternions, their connection to twistor theory}},
url = {http://www.springerlink.com/index/10.1007/BF01596718},
volume = {32},
year = {1982}
}
@article{Rodriguez2005,
abstract = {The problem of coincidences of planar lattices is analyzed using Clifford algebra. It is shown that an arbitrary coincidence isometry can be decomposed as a product of coincidence reflections and this allows planar coincidence lattices to be characterized algebraically. The cases of square, rectangular and rhombic lattices are worked out in detail. One of the aims of this work is to show the potential usefulness of Clifford algebra in crystallography. The power of Clifford algebra for expressing geometric ideas is exploited here and the procedure presented can be generalized to higher dimensions.},
author = {Rodr{\'{i}}guez, M a and Arag{\'{o}}n, J L and Verde-Star, L},
doi = {10.1107/S0108767304025358},
file = {:Users/Ty/Documents/Mendeley Desktop/Rodr{\'{i}}guez, Arag{\'{o}}n, Verde-Star{\_}2005{\_}Clifford algebra approach to the coincidence problem for planar lattices.pdf:pdf},
issn = {0108-7673},
journal = {Acta crystallographica. Section A, Foundations of crystallography},
month = {mar},
number = {Pt 2},
pages = {173--84},
pmid = {15724067},
title = {{Clifford algebra approach to the coincidence problem for planar lattices.}},
url = {http://www.ncbi.nlm.nih.gov/pubmed/15724067},
volume = {61},
year = {2005}
}
@misc{Romanes1897,
author = {Romanes, Geo.},
booktitle = {Nature},
doi = {10.1038/056174c0},
issn = {0028-0836},
month = {jun},
number = {1443},
pages = {174--174},
title = {{Planetary Orbits, Illustrated by a Rolling Ball}},
url = {http://www.nature.com/doifinder/10.1038/056174c0},
volume = {56},
year = {1897}
}
@article{Poland2000,
author = {Poland, Jan},
file = {:Users/Ty/Documents/Mendeley Desktop/Poland{\_}2000{\_}Three different algorithms for generating uniformly distributed random points on the N-sphere(2).pdf:pdf;:Users/Ty/Documents/Mendeley Desktop/Poland{\_}2000{\_}Three different algorithms for generating uniformly distributed random points on the N-sphere.pdf:pdf},
journal = {Unpublished note available online at http:// {\ldots}},
title = {{Three different algorithms for generating uniformly distributed random points on the N-sphere}},
url = {http://www-alg.ist.hokudai.ac.jp/{~}jan/randsphere.pdf},
year = {2000}
}
@article{Simini2012,
abstract = {Introduced in its contemporary form in 1946 (ref. 1), but with roots that go back to the eighteenth century, the gravity law is the prevailing framework with which to predict population movement, cargo shipping volume and inter-city phone calls, as well as bilateral trade flows between nations. Despite its widespread use, it relies on adjustable parameters that vary from region to region and suffers from known analytic inconsistencies. Here we introduce a stochastic process capturing local mobility decisions that helps us analytically derive commuting and mobility fluxes that require as input only information on the population distribution. The resulting radiation model predicts mobility patterns in good agreement with mobility and transport patterns observed in a wide range of phenomena, from long-term migration patterns to communication volume between different regions. Given its parameter-free nature, the model can be applied in areas where we lack previous mobility measurements, significantly improving the predictive accuracy of most of the phenomena affected by mobility and transport processes.},
author = {Simini, Filippo and Gonz{\'{a}}lez, Marta C and Maritan, Amos and Barab{\'{a}}si, Albert-L{\'{a}}szl{\'{o}}},
doi = {10.1038/nature10856},
file = {:Users/Ty/Documents/Mendeley Desktop/Simini et al.{\_}2012{\_}A universal model for mobility and migration patterns.pdf:pdf},
issn = {1476-4687},
journal = {Nature},
month = {feb},
pages = {8--12},
pmid = {22367540},
title = {{A universal model for mobility and migration patterns.}},
url = {http://www.ncbi.nlm.nih.gov/pubmed/22367540},
year = {2012}
}
@article{Schwab2006,
author = {Schwab, A.L. and Meijaard, J.P.},
file = {:Users/Ty/Documents/Mendeley Desktop/Schwab, Meijaard{\_}2006{\_}How to draw Euler angles and utilize Euler parameters.pdf:pdf},
journal = {Proceedings of IDETC/CIE 2006 ASME 2006 International Design Engineering Technical Conferences {\&} Computers and Information in Engineering Conference},
pages = {1--7},
title = {{How to draw Euler angles and utilize Euler parameters}},
url = {http://bicycle.tudelft.nl/schwab/Publications/SchwabMeijaard2006.pdf},
volume = {DETC2006-9},
year = {2006}
}
@article{Margulies2005,
abstract = {The proliferation of large-scale DNA-sequencing projects in recent years has driven a search for alternative methods to reduce time and cost. Here we describe a scalable, highly parallel sequencing system with raw throughput significantly greater than that of state-of-the-art capillary electrophoresis instruments. The apparatus uses a novel fibre-optic slide of individual wells and is able to sequence 25 million bases, at 99{\%} or better accuracy, in one four-hour run. To achieve an approximately 100-fold increase in throughput over current Sanger sequencing technology, we have developed an emulsion method for DNA amplification and an instrument for sequencing by synthesis using a pyrosequencing protocol optimized for solid support and picolitre-scale volumes. Here we show the utility, throughput, accuracy and robustness of this system by shotgun sequencing and de novo assembly of the Mycoplasma genitalium genome with 96{\%} coverage at 99.96{\%} accuracy in one run of the machine.},
author = {Margulies, Marcel and Egholm, Michael and Altman, William E and Attiya, Said and Bader, Joel S and Bemben, Lisa a and Berka, Jan and Braverman, Michael S and Chen, Yi-Ju and Chen, Zhoutao and Dewell, Scott B and Du, Lei and Fierro, Joseph M and Gomes, Xavier V and Godwin, Brian C and He, Wen and Helgesen, Scott and Ho, Chun Heen and Ho, Chun He and Irzyk, Gerard P and Jando, Szilveszter C and Alenquer, Maria L I and Jarvie, Thomas P and Jirage, Kshama B and Kim, Jong-Bum and Knight, James R and Lanza, Janna R and Leamon, John H and Lefkowitz, Steven M and Lei, Ming and Li, Jing and Lohman, Kenton L and Lu, Hong and Makhijani, Vinod B and McDade, Keith E and McKenna, Michael P and Myers, Eugene W and Nickerson, Elizabeth and Nobile, John R and Plant, Ramona and Puc, Bernard P and Ronan, Michael T and Roth, George T and Sarkis, Gary J and Simons, Jan Fredrik and Simpson, John W and Srinivasan, Maithreyan and Tartaro, Karrie R and Tomasz, Alexander and Vogt, Kari a and Volkmer, Greg a and Wang, Shally H and Wang, Yong and Weiner, Michael P and Yu, Pengguang and Begley, Richard F and Rothberg, Jonathan M},
doi = {10.1038/nature03959},
file = {:Users/Ty/Documents/Mendeley Desktop/Margulies et al.{\_}2005{\_}Genome sequencing in microfabricated high-density picolitre reactors.pdf:pdf},
issn = {1476-4687},
journal = {Nature},
keywords = {Electrophoresis, Capillary,Emulsions,Fiber Optic Technology,Genome, Bacterial,Genomics,Genomics: economics,Genomics: instrumentation,Microchemistry,Microchemistry: economics,Microchemistry: instrumentation,Mycoplasma genitalium,Mycoplasma genitalium: genetics,Polymerase Chain Reaction,Reproducibility of Results,Sensitivity and Specificity,Sequence Analysis, DNA,Sequence Analysis, DNA: economics,Sequence Analysis, DNA: instrumentation,Time Factors},
month = {sep},
number = {7057},
pages = {376--80},
pmid = {16056220},
title = {{Genome sequencing in microfabricated high-density picolitre reactors.}},
url = {http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=1464427{\&}tool=pmcentrez{\&}rendertype=abstract},
volume = {437},
year = {2005}
}
@article{Arribas2006,
author = {Arribas, M. and Elipe, A. and Palacios, M.},
doi = {10.1007/s10569-006-9037-6},
file = {:Users/Ty/Documents/Mendeley Desktop/Arribas, Elipe, Palacios{\_}2006{\_}Quaternions and the rotation of a rigid body.pdf:pdf},
isbn = {1056900690376},
issn = {0923-2958},
journal = {Celestial Mechanics and Dynamical Astronomy},
keywords = {attitude dynamics,quaternions,rigid body motion,rotations},
month = {oct},
pages = {239--251},
title = {{Quaternions and the rotation of a rigid body}},
url = {http://www.springerlink.com/index/10.1007/s10569-006-9037-6},
volume = {96},
year = {2006}
}
@book{Miller1972,
author = {Miller, Willard},
file = {:Users/Ty/Documents/Mendeley Desktop/Miller{\_}1972{\_}Symmetry Groups and their Applications.pdf:pdf},
isbn = {0124974600},
pages = {159--161},
title = {{Symmetry Groups and their Applications}},
url = {http://books.google.com/books?hl=en{\&}lr={\&}id=rW7-eLDdVm0C{\&}oi=fnd{\&}pg=PP1{\&}dq=Symmetry+groups{\&}ots=EpXuqamAeK{\&}sig=eusCI1vzEZskQ2Srjjx9iwemaus},
year = {1972}
}
@article{Hand2010,
author = {Hand, Eric},
doi = {10.1038/463862a},
file = {:Users/Ty/Documents/Mendeley Desktop/Hand{\_}2010{\_}General relativity tested on a tabletop.pdf:pdf},
issn = {1476-4687},
journal = {Nature},
month = {feb},
number = {7283},
pages = {862},
pmid = {20164894},
title = {{General relativity tested on a tabletop.}},
url = {http://www.ncbi.nlm.nih.gov/pubmed/21956329},
volume = {463},
year = {2010}
}