2020-05-01 23:56:35 +02:00
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@article{cock41,
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2020-05-27 17:47:20 +02:00
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title={The Distribution of a Product from Several Sources to Numerous Localities},
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2020-05-03 00:05:25 +02:00
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author={Hitchcock, Frank L},
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journal={Journal of mathematics and physics},
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volume={20},
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number={1-4},
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2020-05-27 17:47:20 +02:00
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pages={224 -- 230},
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2020-05-03 00:05:25 +02:00
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year={1941},
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publisher={Wiley Online Library}
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}
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@article{ramdas17,
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2020-05-27 17:47:20 +02:00
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title={On {Wasserstein} Two-sample Testing and Related Families of Nonparametric
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Tests},
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2020-05-03 00:05:25 +02:00
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author={Ramdas, Aaditya and Trillos, Nicolas Garcia and Cuturi, Marco},
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journal={Entropy},
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volume={19},
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number={2},
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pages={47},
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year={2017},
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publisher={Multidisciplinary Digital Publishing Institute}
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2020-05-01 23:56:35 +02:00
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}
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2020-05-08 23:07:37 +02:00
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@article{marsaglia03,
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2020-05-27 17:47:20 +02:00
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title={Evaluating {Kolmogorov}’s distribution},
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2020-05-08 23:07:37 +02:00
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author={Marsaglia, George and Tsang, Wai Wan and Wang, Jingbo and others},
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journal={Journal of Statistical Software},
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volume={8},
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number={18},
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2020-05-27 17:47:20 +02:00
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2020-05-08 23:07:37 +02:00
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year={2003}
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}
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@article{robertson74,
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2020-05-27 17:47:20 +02:00
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title={An Iterative Procedure for Estimating the Mode},
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2020-05-08 23:07:37 +02:00
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author={Robertson, Tim and Cryer, Jonathan D},
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journal={Journal of the American Statistical Association},
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volume={69},
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number={348},
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2020-05-27 17:47:20 +02:00
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2020-05-08 23:07:37 +02:00
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year={1974},
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}
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@book{silverman86,
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2020-05-27 17:47:20 +02:00
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title={Density Estimation for Statistics and Data Analysis},
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2020-05-08 23:07:37 +02:00
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author={Silverman, Bernard W},
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year={1986},
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@book{davis59,
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2020-05-27 17:47:20 +02:00
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title={{Leonhard Euler}'s Integral: A Historical Profile of the Gamma Function},
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2020-05-08 23:07:37 +02:00
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author={Davis, P. J.},
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year={1959},
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journal={American Mathematical Monthly},
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pages={849 -– 869},
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doi={10.2307/2309786}
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}
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@book{bak91,
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2020-05-27 17:47:20 +02:00
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title={Complex Analysis},
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2020-05-08 23:07:37 +02:00
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author={Bak, Joseph and Newman, Donald J and Newman, Donald J},
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year={1991},
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publisher={Springer},
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pages={265 -- 268}
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}
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@misc{yee19,
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title={Formulas and Algorithms},
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author={Alexander Yee},
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year={2019},
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journal={Alex Yee Website},
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url={http://www.numberworld.org/y-cruncher/internals/formulas.html}
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}
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@article{riddle08,
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title={Approximating the Sum of a Convergent Series},
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author={Riddle, Larry},
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journal={AP{\textregistered} Calculus},
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year={2008},
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publisher={Citeseer}
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}
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2020-05-11 23:28:23 +02:00
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@misc{painless94,
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2020-05-27 17:47:20 +02:00
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title={An Introduction to the Conjugate Gradient Method Without the
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Agonizing Pain},
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2020-05-11 23:28:23 +02:00
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author={Shewchuk, Jonathan Richard and others},
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year={1994},
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pages={42},
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publisher={Carnegie-Mellon University. Department of Computer Science}
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}
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@article{Lou05,
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2020-05-27 17:47:20 +02:00
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title={A Brief Description of the {Levenberg-Marquardt} Algorithm
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Implemened by levmar},
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2020-05-11 23:28:23 +02:00
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author={M. I. A. Lourakis},
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year={2005},
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journal={Matrix}
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}
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2020-05-19 16:01:52 +02:00
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@article{sayah19,
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title={Adaptive stratified Monte Carlo algorithm for numerical computation
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of integrals},
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author={Sayah, Toni},
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journal={Mathematics and Computers in Simulation},
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volume={157},
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2020-05-27 17:47:20 +02:00
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pages={143 -- 158},
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2020-05-19 16:01:52 +02:00
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year={2019},
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publisher={Elsevier}
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}
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@article{ridder17,
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2020-05-27 17:47:20 +02:00
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title={Variance Reduction},
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2020-05-19 16:01:52 +02:00
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author={Ridder, AAN and Botev, ZI},
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journal={Wiley StatsRef: Statistics Reference Online},
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2020-05-27 17:47:20 +02:00
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pages={1 -- 6},
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2020-05-19 16:01:52 +02:00
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year={2017},
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publisher={Wiley}
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}
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@article{lepage78,
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2020-05-27 17:47:20 +02:00
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title={A New Algorithm for Adaptive Multidimensional Integration},
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2020-05-19 16:01:52 +02:00
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author={Lepage, G Peter},
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journal={Journal of Computational Physics},
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volume={27},
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number={2},
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2020-05-27 17:47:20 +02:00
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pages={192 -- 203},
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2020-05-19 16:01:52 +02:00
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year={1978},
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publisher={Elsevier}
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}
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2020-05-20 16:28:19 +02:00
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@book{hecht02,
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title={Optics},
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2020-05-24 12:01:36 +02:00
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author={Eugene Hecht},
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2020-05-20 16:28:19 +02:00
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year={2002},
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2020-05-24 12:01:36 +02:00
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publisher={Pearson}
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2020-05-20 16:28:19 +02:00
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}
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@article{lucy74,
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2020-05-27 17:47:20 +02:00
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title={An Iterative Technique for the Rectification of Observed
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Distributions},
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2020-05-24 12:01:36 +02:00
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author={Lucy, Leon B.},
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2020-05-20 16:28:19 +02:00
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journal={The astronomical journal},
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volume={79},
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pages={745},
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year={1974}
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}
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2020-05-24 12:01:36 +02:00
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@book{bishop06,
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title={Pattern Recognition and Machine Learning},
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author={Bishop, Christopher M.},
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year={2006},
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pages={186 -- 189},
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publisher={Springer}
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}
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@techreport{novikoff63,
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2020-05-27 17:47:20 +02:00
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title={On Convergence Proofs for Perceptrons},
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2020-05-24 12:01:36 +02:00
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author={Novikoff, Albert B},
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year={1963},
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institution={Stanford Researhc INST Menlo Park CA}
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}
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2020-05-25 12:43:58 +02:00
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@incollection{brent00,
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2020-05-27 17:47:20 +02:00
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title={Some New Algorithms for High-precision Computation of
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{Euler}’s constant},
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2020-05-25 12:43:58 +02:00
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author={Brent, Richard P and McMillan, Edwin M},
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booktitle={Pi: A Source Book},
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pages={448--455},
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year={2000},
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publisher={Springer}
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}
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2020-05-25 23:59:38 +02:00
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@article{corless96,
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2020-05-27 17:47:20 +02:00
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title={On the {Lambert} {W} function},
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2020-05-25 23:59:38 +02:00
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author={Corless, Robert M and Gonnet, Gaston H and Hare, David EG and Jeffrey,
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David J and Knuth, Donald E},
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journal={Advances in Computational mathematics},
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volume={5},
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number={1},
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2020-05-27 17:47:20 +02:00
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pages={329 -- 359},
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2020-05-25 23:59:38 +02:00
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year={1996},
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publisher={Springer}
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}
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@article{demailly17,
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2020-05-27 17:47:20 +02:00
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title={Precise Error Estimate of the {Brent-McMillan} algorithm for the
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computation of {Euler}'s constant},
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2020-05-25 23:59:38 +02:00
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author={Jean-Pierre Demailly},
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year={2017}
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}
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2020-05-27 15:29:59 +02:00
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@manual{mpmath13,
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2020-05-27 17:47:20 +02:00
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title={mpmath: a {P}ython library for arbitrary-precision floating-point
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arithmetic (version 0.18)},
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2020-05-27 15:29:59 +02:00
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author={Fredrik Johansson and others},
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2020-05-27 17:47:20 +02:00
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key={mpmath},
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2020-05-27 15:29:59 +02:00
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note={{\tt http://mpmath.org/}},
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month={December},
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year={2013},
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}
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@manual{gmp20,
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2020-05-27 17:47:20 +02:00
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title={{GNU MP}: The {GNU} Multiple Precision Arithmetic Library,
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2020-05-27 15:29:59 +02:00
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Edition 6.2.0 (version 0.18)},
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2020-05-27 17:47:20 +02:00
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author={Torbjörn Granlund and the GMP development team},
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key={gmp},
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2020-05-27 15:29:59 +02:00
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note={{\tt https://gmplib.org/}},
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month={January},
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year={2020},
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}
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2020-05-27 17:47:20 +02:00
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@manual{gsl19,
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title={{GNU} Scientific Library Reference Manual (3rd Edition)},
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author={M. Galassi et al},
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ISBN={0954612078},
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url={http://www.gnu.org/software/gsl/},
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year={2019}
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}
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