Authors: Barhoumi, A., Celsus, A. F., Deaño, A.

Subject Terms: Riemann–Hilbert problem, continuation in parameter space, orthogonal polynomials in the complex plane, asymptotic analysis, Mathematics, Science

File Description: application/pdf

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Availability: https://doi.org/10.1111/sapm.12387
https://hdl.handle.net/2027.42/169354

Authors: Song, Siliang, Zhang, Jianzhi

Subject Terms: Adaptation, estimation error, evolution, NK model, Rough Mount Fuji model, polynomial model, Ecology and Evolutionary Biology, Science

File Description: application/pdf

Relation: Song, Siliang; Zhang, Jianzhi (2021). "Unbiased inference of the fitness landscape ruggedness from imprecise fitness estimates." Evolution 75(11): 2658-2671.; https://hdl.handle.net/2027.42/170981; Evolution; Pfaender, J., R. K. Hadiaty, U. K. Schliewen, and F. Herder. 2016. Rugged adaptive landscapes shape a complex, sympatric radiation. Proc. R. Soc. B Biol. Sci. 283: 20152342. https://doi.org/10.1098/rspb.2015.2342; Franke, J., A. Klozer, J. A. de Visser, and J. Krug. 2011. Evolutionary accessibility of mutational pathways. PLoS Comput. Biol. 7: e1002134. https://doi.org/10.1371/journal.pcbi.1002134; Goldberg, D. 1989. Genetic algorithms and walsh functions: part I, a gentle introduction. Complex Syst. 3: 129 – 152.; Hansen, T. F., and G. P. Wagner. 2001. Modeling genetic architecture: a multilinear theory of gene interaction. Theor. Popul. Biol. 59: 61 – 86. https://doi.org/10.1006/tpbi.2000.1508; Hwang, S., B. Schmiegelt, L. Ferretti, and J. Krug. 2018. Universality classes of interaction structures for NK fitness landscapes. J. Stat. Phys. 172: 226 – 278.; Jiang, P. P., R. B. Corbett‐Detig, D. L. Hartl, and E. R. Lozovsky. 2013. Accessible mutational trajectories for the evolution of pyrimethamine resistance in the malaria parasite Plasmodium vivax. J. Mol. Evol. 77: 81 – 91. https://doi.org/10.1007/s00239‐013‐9582‐z; Kauffman, S. A., and E. D. Weinberger. 1989. The NK model of rugged fitness landscapes and its application to maturation of the immune response. J. Theor. Biol. 141: 211 – 245. https://doi.org/10.1016/s0022‐5193(89)80019‐0; Kuo, S. T., R. L. Jahn, Y. J. Cheng, Y. L. Chen, Y. J. Lee, F. Hollfelder, J. D. Wen, and H. D. Chou. 2020. Global fitness landscapes of the Shine‐Dalgarno sequence. Genome Res. 30: 711 – 723. https://doi.org/10.1101/gr.260182.119; Li, C., W. Qian, C. J. Maclean, and J. Zhang. 2016. The fitness landscape of a tRNA gene. 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Evol. 31: 1581 – 1592. https://doi.org/10.1093/molbev/msu081

Availability: https://doi.org/10.1111/evo.14363
https://doi.org/10.1098/rspb.2015.2342
https://doi.org/10.1371/journal.pcbi.1002134
https://doi.org/10.1006/tpbi.2000.1508
https://doi.org/10.1007/s00239‐013‐9582‐z
https://doi.org/10.1016/s0022‐5193(89)80019‐0
https://doi.org/10.1101/gr.260182.119
https://doi.org/10.1126/science.aae0568
https://doi.org/10.1371/journal.pcbi.1002302
https://doi.org/10.1126/science.1227710

Authors: Tran, Vinh Ngoc, Dwelle, M. Chase, Sargsyan, Khachik, Ivanov, Valeriy Y., Kim, Jongho

Subject Terms: uncertainty quantification, polynomial chaos expansions, generalized likelihood uncertainty estimation, ensemble Kalman filter, real‐time ensemble flood forecasting, Natural Resources and Environment, Science

File Description: application/pdf

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Availability: https://doi.org/10.1029/2019WR025727
https://doi.org/10.2166/hydro.1999.0007
https://doi.org/10.1002/hyp.5687
https://doi.org/10.2307/2371268
https://doi.org/10.1098/rsta.2002.1008
https://doi.org/10.1016/0022‐1694(89)90101‐7
https://doi.org/10.1016/j.jhydrol.2005.07.007
https://doi.org/10.1175/1520‐0493(1950)078<0001:vofeit>2.0.co;2
https://doi.org/10.1029/94jc00572
https://doi.org/10.1175/1520‐0469(2002)059

Authors: Calonico, Sebastian, Cattaneo, Matias D., Titiunik, Rocio

Subject Terms: Regression Discontinuity, Local Polynomials, Bias Correction, Robust Inference, Alternative Asymptotics, Economics, Business and Economics

File Description: application/pdf

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Melly ( 2012 ): “ Quantile Treatments Effects in the Regression Discontinuity Design,” Journal of Econometrics, 168 ( 2 ), 382 – 395. 10.1016/j.jeconom.2012.02.004; Hahn, J., P. Todd, and W. van der Klaauw ( 2001 ): “ Identification and Estimation of Treatment Effects With a Regression‐Discontinuity Design,” Econometrica, 69 ( 1 ), 201 – 209. 10.1111/1468‐0262.00183; Horowitz, J. L. ( 2001 ): “ The Bootstrap,” in Handbook of Econometrics, Vol. V, ed. by J. J. Heckman and E. Leamer. New York: Elsevier Science B.V., 3159 – 3228. 10.1016/S1573‐4412(01)05005‐X; Ichimura, H., and P. E. Todd ( 2007 ): “ Implementing Nonparametric and Semiparametric Estimators,” in Handbook of Econometrics, Vol. 6B, ed. by J. J. Heckman and E. E. Leamer. New York: Elsevier Science B.V., 5369 – 5468.; Imbens, G., and T. Lemieux ( 2008 ): “ Regression Discontinuity Designs: A Guide to Practice,” Journal of Econometrics, 142 ( 2 ), 615 – 635. 10.1016/j.jeconom.2007.05.001; Imbens, G. W., and K. Kalyanaraman ( 2012 ): “ Optimal Bandwidth Choice for the Regression Discontinuity Estimator,” Review of Economic Studies, 79 ( 3 ), 933 – 959. 10.1093/restud/rdr043; Keele, L. J., and R. Titiunik ( 2014 ): “ Geographic Boundaries as Regression Discontinuities,” Political Analysis (forthcoming).; Lee, D. S. ( 2008 ): “ Randomized Experiments From Non‐Random Selection in U.S. House Elections,” Journal of Econometrics, 142 ( 2 ), 675 – 697. 10.1016/j.jeconom.2007.05.004; Lee, D. S., and D. Card ( 2008 ): “ Regression Discontinuity Inference With Specification Error,” Journal of Econometrics, 142 ( 2 ), 655 – 674. 10.1016/j.jeconom.2007.05.003; Li, K.‐C. ( 1987 ): “ Asymptotic Optimality for C p, C L, Cross‐Validation and Generalized Cross‐Validation: Discrete Index Set,” The Annals of Statistics, 15 ( 3 ), 958 – 975. 10.1214/aos/1176350486; Ludwig, J., and D. L. Miller ( 2007 ): “ Does Head Start Improve Children's Life Chances? Evidence From a Regression Discontinuity Design,” Quarterly Journal of Economics, 122 ( 1 ), 159 – 208. 10.1162/qjec.122.1.159; Marmer, V., D. Feir, and T. Lemieux ( 2014 ): “ Weak Identification in Fuzzy Regression Discontinuity Designs,” Working Paper, University of British Columbia.; McCrary, J. ( 2008 ): “ Manipulation of the Running Variable in the Regression Discontinuity Design: A Density Test,” Journal of Econometrics, 142 ( 2 ), 698 – 714. 10.1016/j.jeconom.2007.05.005; Otsu, T., K.‐L. Xu, and Y. Matsushita ( 2014 ): “ Empirical Likelihood for Regression Discontinuity Design,” Journal of Econometrics (forthcoming).; Porter, J. ( 2003 ): “ Estimation in the Regression Discontinuity Model,” Working Paper, University of Wisconsin.; Thistlethwaite, D. L., and D. T. Campbell ( 1960 ): “ Regression‐Discontinuity Analysis: An Alternative to the Ex‐Post Facto Experiment,” Journal of Educational Psychology, 51 ( 6 ), 309 – 317. 10.1037/h0044319; van der Klaauw, W. ( 2008 ): “ Regression‐Discontinuity Analysis: A Survey of Recent Developments in Economics,” Labour, 22 ( 2 ), 219 – 245. 10.1111/j.1467‐9914.2008.00419.x; Wand, M. P., and M. C. Jones ( 1995 ): Kernel Smoothing. Boca Raton, FL: Chapman & Hall/CRC. 10.1007/978‐1‐4899‐4493‐1; Abadie, A., and G. W. Imbens ( 2006 ): “ Large Sample Properties of Matching Estimators for Average Treatment Effects,” Econometrica, 74 ( 1 ), 235 – 267. 10.1111/j.1468‐0262.2006.00655.x; Abadie, A., and G. W. Imbens ( 2010 ): “ Estimation of the Conditional Variance in Paired Experiments,” Annales d'Économie et de Statistique, 91 ( 1 ), 175 – 187.; Calonico, S., M. D. Cattaneo, and M. H. Farrell ( 2014 ): “ On the Effect of Bias Estimation on Coverage Accuracy in Nonparametric Estimation,” Working Paper, University of Michigan.; Calonico, S., M. D. Cattaneo, and R. Titiunik ( 2014a ): “ Optimal Data‐Driven Regression Discontinuity Plots,” Working Paper, University of Michigan.; Calonico, S., M. D. Cattaneo, and R. Titiunik ( 2014b ): “ Robust Data‐Driven Inference in the Regression‐Discontinuity Design,” Stata Journal (forthcoming).; Calonico, S., M. D. Cattaneo, and R. Titiunik ( 2014c ): “ Supplement to ‘Robust Nonparametric Confidence Intervals for Regression‐Discontinuity Designs’,” Econometrica Supplemental Material, 82, http://dx.doi.org/10.3982/ECTA11757.; Calonico, S., M. D. Cattaneo, and R. Titiunik ( 2014d ): “ rdrobust: An R Package for Robust Inference in Regression‐Discontinuity Designs,” Working Paper, University of Michigan.; Card, D., D. S. Lee, Z. Pei, and A. Weber ( 2014 ): “ Inference on Causal Effects in a Generalized Regression Kink Design,” Working Paper, UC‐Berkeley.; Cattaneo, M. D., B. Frandsen, and R. Titiunik ( 2014 ): “ Randomization Inference in the Regression Discontinuity Design: An Application to Party Advantages in the U.S. Senate,” Journal of Causal Inference (forthcoming).; Cheng, M.‐Y., J. Fan, and J. S. Marron ( 1997 ): “ On Automatic Boundary Corrections,” The Annals of Statistics, 25 ( 4 ), 1691 – 1708. 10.1214/aos/1031594737

Availability: https://doi.org/10.3982/ECTA11757
http://hdl.handle.net/2027.42/109857

Authors: Quinlan, Eamon

Contributors: Smith, Karen E, Tappenden, James P, Bhatt, Bhargav, Mustata, Mircea Immanuel, Takagi, Shunsuke

Subject Terms: Bernstein-Sato polynomial, b-function, Positive characteristic, Mathematics, Science

File Description: application/pdf

Relation: https://hdl.handle.net/2027.42/169620; https://dx.doi.org/10.7302/2665; orcid:0000-0002-3282-2928; Quinlan, Eamon; 0000-0002-3282-2928

Availability: https://doi.org/10.7302/2665
https://hdl.handle.net/2027.42/169620

Authors: Pappas, Janice

Contributors: Department of Mathematics, Ann Arbor

Subject Terms: diatoms, Cymbella cistula, Legendre polynomials, shape analysis, Great Lakes, Science (General), Ecology and Evolutionary Biology, Science

File Description: application/vnd.ms-powerpoint

Relation: https://hdl.handle.net/2027.42/136661; orcid:0000-0002-1207-8388; Pappas, Janice; 0000-0002-1207-8388

Availability: https://hdl.handle.net/2027.42/136661

Authors: Barvinok

Contributors: Department of Mathematics University of Michigan Ann Arbor, MI 48109-1109, USA barvinok@math.lsa.umich.edu, US, Ann Arbor

Subject Terms: Key Words. Group Representations, Matrix Elements, Multivariate Polynomials, Combinatorial Optimization, Assignment Problem, Polynomial Equations, Lp Norms. AMS Classification. 68W25, 68R05, 90C30, 90C27, 20C15, Legacy, Philosophy, Computer Science, Humanities, Engineering

File Description: 149154 bytes; 3115 bytes; application/pdf; text/plain

Relation: Barvinok,; (2002). "Estimating L ∞ Norms by L 2k Norms for Functions on Orbits." Foundations of Computational Mathematics 2(4): 393-412.; https://hdl.handle.net/2027.42/41872; http://dx.doi.org/10.1007/s102080010031; Foundations of Computational Mathematics

Availability: https://doi.org/10.1007/s102080010031
https://hdl.handle.net/2027.42/41872

Authors: James, Kevin R., Dowling, David R.

Subject Terms: Acoustic Field, Acoustic Intensity Measurement, Acoustic Wave Velocity, Chaos, Gaussian Distribution, Polynomial Approximation, Underwater Sound, Physics, Science

File Description: application/pdf

Relation: James, Kevin R.; Dowling, David R. (2011). "Pekeris waveguide comparisons of methods for predicting acoustic field amplitude uncertainty caused by a spatially uniform environmental uncertainty (L)." The Journal of the Acoustical Society of America, 129(2): 589.; https://hdl.handle.net/2027.42/98654; The Journal of the Acoustical Society of America

Availability: https://doi.org/10.1121/1.3531814
https://hdl.handle.net/2027.42/98654

Authors: Way, Ted W., Sahiner, Berkman, Hadjiiski, Lubomir M., Chan, Heang‐ping

Contributors: Department of Radiology, University of Michigan, Ann Arbor, Michigan 48109â 5842

Subject Terms: support vector machines, sample size effect, Laser Doppler velocimetry, Computer aided diagnosis, Eigenvalues, Lungs, Medical imaging, Testing procedures, Radiologists, Computed tomography, Computer software, Polynomials, Computerâ aided diagnosis, feature extraction, Gaussian distribution, image classification, medical image processing, principal component analysis, feature selection, linear discriminant analysis, Medicine (General), Health Sciences

File Description: application/pdf

Relation: Way, Ted W.; Sahiner, Berkman; Hadjiiski, Lubomir M.; Chan, Heang‐ping (2010). "Effect of finite sample size on feature selection and classification: A simulation study." Medical Physics 37(2): 907-920.; https://hdl.handle.net/2027.42/134839; Medical Physics; H. H. Barrett, C. K. Abbey, and E. Clarkson, â Objective assessment of image quality. III. ROC metrics, ideal observers, and likelihoodâ generating functions,â J. Opt. Soc. Am. A Opt. Image Sci. Vis. 15, 1520 â 1535 ( 1998 ). 10.1364/JOSAA.15.001520 --> 1084-7529 -->; B. Sahiner, H. P. Chan, and L. Hadjiiski, â Classifier performance prediction for computerâ aided diagnosis using a limited data set,â Med. Phys. MPHYA6 --> 0094-2405 --> 35, 1559 â 1570 ( 2008 ). 10.1118/1.2868757 -->; B. Sahiner, H. P. Chan, and L. M. Hadjiiski, â Classifier performance estimation under the constraint of a finite sample size: Resampling schemes applied to neural network classifiers,â Neural Networks NNETEB --> 0893-6080 --> 21, 476 â 483 ( 2008 ). 10.1016/j.neunet.2007.12.012 -->; Q. Li and K. Doi, â Analysis and minimization of overtraining effect in ruleâ based classifiers for computerâ aided diagnosis,â Med. Phys. MPHYA6 --> 0094-2405 --> 33, 320 â 328 ( 2006 ). 10.1118/1.1999126 -->; Q. Li and K. Doi, â Comparison of typical evaluation methods for computerâ aided diagnostic schemes: Monte Carlo simulation study,â Med. Phys. MPHYA6 --> 0094-2405 --> 34, 871 â 876 ( 2007 ). 10.1118/1.2437130 -->; S. V. Beiden, M. A. Maloof, and R. F. Wagner, â A general model for finiteâ sample effects in training and testing of competing classifiers,â IEEE Trans. Pattern Anal. Mach. Intell. ITPIDJ --> 0162-8828 --> 25, 1561 â 1569 ( 2003 ). 10.1109/TPAMI.2003.1251149 -->; A. Jain and D. Zongker, â Feature selection: Evaluation, application, and small sample size performance,â IEEE Trans. Pattern Anal. Mach. Intell. ITPIDJ --> 0162-8828 --> 19, 153 â 158 ( 1997 ). 10.1109/34.574797 -->; P. Pudil, J. Novovicová, and J. Kittler, â Floating search methods in feature selection,â Pattern Recogn. Lett. PRLEDG --> 0167-8655 --> 15, 1119 â 1125 ( 1994 ). 10.1016/0167-8655(94)90127-9 -->; M. Kudo and J. Sklansky, â Comparison of algorithms that select features for pattern classifiers,â Pattern Recogn. PTNRA8 --> 0031-3203 --> 33, 25 â 41 ( 2000 ). 10.1016/S0031-3203(99)00041-2 -->; C. Sima and E. R. Dougherty, â What should be expected from feature selection in smallâ sample settings,â Bioinformatics BOINFP --> 1367-4803 --> 22, 2430 â 2436 ( 2006 ). 10.1093/bioinformatics/btl407 -->; J. P. Hua, W. D. Tembe, and E. R. Dougherty, â Performance of featureâ selection methods in the classification of highâ dimension data,â Pattern Recogn. PTNRA8 --> 0031-3203 --> 42, 409 â 424 ( 2009 ). 10.1016/j.patcog.2008.08.001 -->; J. W. Lee, J. B. Lee, M. Park, and S. H. Song, â An extensive comparison of recent classification tools applied to microarray data,â Comput. Stat. Data Anal. CSDADW --> 0167-9473 --> 48, 869 â 885 ( 2005 ). 10.1016/j.csda.2004.03.017 -->; X. G. Zhang, X. Lu, Q. Shi, X. Q. Xu, H. C. E. Leung, L. N. Harris, J. D. Iglehart, A. Miron, J. S. Liu, and W. H. Wong, â Recursive SVM feature selection and sample classification for massâ spectrometry and microarray data,â BMC Bioinf. BBMIC4 --> 1471-2105 --> 7, 13 ( 2006 ). 10.1186/1471-2105-7-13 -->; J. G. Dy and C. E. Brodley, â Feature selection for unsupervised learning,â J. Mach. Learn. Res. 1532-4435 --> 5, 845 â 889 ( 2004 ).; S. Krishnan, K. Samudravijaya, and P. V. S. Rao, â Feature selection for pattern classification with Gaussian mixture models: A new objective criterion,â Pattern Recogn. Lett. PRLEDG --> 0167-8655 --> 17, 803 â 809 ( 1996 ). 10.1016/0167-8655(96)00047-5 -->; R. Kohavi and G. H. John, â Wrappers for feature subset selection,â Artif. Intell. AINTBB --> 0004-3702 --> 97, 273 â 324 ( 1997 ). 10.1016/S0004-3702(97)00043-X -->; L. Yu and H. Liu, â Efficient feature selection via analysis of relevance and redundancy,â J. Mach. Learn. Res. 1532-4435 --> 5, 1205 â 1224 ( 2004 ).; K. Fukunaga, Introduction to Statistical Pattern Recognition, 2nd ed. ( Academic, New York, 1990 ).; R. O. Duda and P. E. Hart, Pattern Classification and Scene Analysis ( Wiley, New York, 1973 ).; D. J. Hand, Discrimination and Classification ( Wiley, New York, 1981 ).; T. W. Way, L. M. Hadjiiski, B. Sahiner, H. -P. Chan, P. N. Cascade, E. A. Kazerooni, N. Bogot, and C. Zhou, â Computerâ aided diagnosis of pulmonary nodules on CT scans: Segmentation and classification using 3D active contours,â Med. Phys. MPHYA6 --> 0094-2405 --> 33, 2323 â 2337 ( 2006 ). 10.1118/1.2207129 -->; M. M. 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Norusis, SPSS for Windows Release 6 Professional Statistics ( SPSS, Chicago, 1993 ).; S. D. Stearns, â On selecting features for pattern classifiers,â Third International Conference on Pattern Recognition, Coronado, CA, 1976, pp. 71 â 75.; A. K. Jain, R. P. W. Duin, and J. Mao, â Statistical pattern recognition: A review,â IEEE Trans. Pattern Anal. Mach. Intell. ITPIDJ --> 0162-8828 --> 22, 4 â 37 ( 2000 ). 10.1109/34.824819 -->; P. A. Lachenbruch, Discriminant Analysis ( Hafner, New York, 1975 ).; C. J. C. Burges, â A tutorial on support vector machines for pattern recognition,â Data Min. Knowl. Discov. DMKDFD --> 1384-5810 --> 2, 121 â 167 ( 1998 ). 10.1023/A:1009715923555 -->; Y. Arzhaeva, M. Prokop, D. M. J. Tax, P. A. De Jong, C. M. Schaeferâ Prokop, and B. van Ginneken, â Computerâ aided detection of interstitial abnormalities in chest radiographs using a reference standard based on computed tomography,â Med. Phys. MPHYA6 --> 0094-2405 --> 34, 4798 â 4809 ( 2007 ). 10.1118/1.2795672 -->; P. Campadelli, E. Casiraghi, and D. Artioli, â A fully automated method for lung nodule detection from posteroâ anterior chest radiographs,â IEEE Trans. Med. Imaging ITMID4 --> 0278-0062 --> 25, 1588 â 1603 ( 2006 ). 10.1109/TMI.2006.884198 -->; A. K. Jerebko, J. D. Malley, M. Franaszek, and R. M. Summers, â Support vector machines committee classification method for computerâ aided polyp detection in CT colonography,â Acad. Radiol. 1076-6332 --> 12, 479 â 486 ( 2005 ). 10.1016/j.acra.2004.04.024 -->; S. Ruping, â Incremental learning with support vector machines,â Proceedings of the IEEE International Conference on Data Mining, 2001, pp. 641 â 642.; O. Chapelle, P. Haffner, and V. N. Vapnik, â Support vector machines for histogramâ based image classification,â IEEE Trans. Neural Netw. ITNNEP --> 1045-9227 --> 10, 1055 â 1064 ( 1999 ). 10.1109/72.788646 -->; H. P. Chan, B. Sahiner, R. F. Wagner, and N. 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Availability: https://doi.org/10.1118/1.3284974
https://doi.org/10.1364/JOSAA.15.001520
https://doi.org/10.1118/1.2868757
https://doi.org/10.1016/j.neunet.2007.12.012
https://doi.org/10.1118/1.1999126
https://doi.org/10.1118/1.2437130
https://doi.org/10.1109/TPAMI.2003.1251149
https://doi.org/10.1109/34.574797
https://doi.org/10.1016/0167-8655(94)90127-9
https://doi.org/10.1016/S0031-3203(99)00041-2

Authors: Zhou, Haining

Contributors: Downar, Thomas J, Fidkowski, Krzysztof J, Kiedrowski, Brian, Martin, William R, Olson, Aaron J.

Subject Terms: Uncertainty quantification of high-dimensional problems, adaptive feature selection based on lasso regularization, orthogonal polynomials and the generalized polynomial chaos method, Nuclear Engineering and Radiological Sciences, Engineering

File Description: application/pdf

Relation: https://hdl.handle.net/2027.42/151420

Availability: https://hdl.handle.net/2027.42/151420

Authors: Odesky, Andrew

Contributors: Zieve, Michael E, Larsen, Finn, Ho, Wei, Prasanna, Kartik

Subject Terms: orbit, rational function, iterate, integer-valued, divided difference, polynomial, Mathematics, Science

File Description: application/pdf

Relation: https://hdl.handle.net/2027.42/163231; orcid:0000-0003-1068-7013; O’Desky, Andrew; 0000-0003-1068-7013

Availability: https://hdl.handle.net/2027.42/163231

Authors: Olson, Matthew

Contributors: Doering, Charles R, Schultz, William W, Alben, Silas D, Bloch, Anthony M, Miller, Peter D

Subject Terms: Rayleigh-Benard convection, Polynomial optimization, Mathematics, Science

File Description: application/pdf

Relation: https://hdl.handle.net/2027.42/162943; orcid:0000-0003-0898-1993; Olson, Matt; 0000-0003-0898-1993

Availability: https://hdl.handle.net/2027.42/162943

Authors: Du, Lara Yue

Contributors: Jonsson, Mattias, Wooley, Trevor, Akhoury, Ratindranath, Lagarias, Jeffrey C, Lande, Elaine

Subject Terms: superirreducibility, polynomials, binomial coefficients, Farey fractions, teaching mathematics, Mathematics, Science

File Description: application/pdf

Relation: https://hdl.handle.net/2027.42/162876; orcid:0000-0001-6749-4867; Du, Lara; 0000-0001-6749-4867

Availability: https://hdl.handle.net/2027.42/162876

Authors: Blass, Andreas, Sagan, Bruce E.

Contributors: Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1003, Department of Mathematics, Michigan State University, East Lansing, MI, 48824-1027, Ann Arbor

Subject Terms: Mathematics, Computer Science, General, Group Theory and Generalizations, Order, Lattices, Ordered Algebraic Structures, Combinatorics, Convex and Discrete Geometry, Weyl Group, Hyperplane Arrangement, Subspace Arrangement, MöBius Function, Characteristic Polynomial, Ehrhart Polynomial, Science

File Description: 146033 bytes; 3115 bytes; application/pdf; text/plain

Relation: Blass, Andreas; Sagan, Bruce E.; (1998). "Characteristic and Ehrhart Polynomials." Journal of Algebraic Combinatorics 7(2): 115-126.; https://hdl.handle.net/2027.42/46284; http://dx.doi.org/10.1023/A:1008646303921; Journal of Algebraic Combinatorics

Availability: https://doi.org/10.1023/A:1008646303921
https://hdl.handle.net/2027.42/46284

Authors: Hanlon, Phil, Zaslavsky, Thomas

Contributors: University of Michigan, Ann, Arbor, MI, 48109-1003, U.S.A, Binghamton University, Binghamton, NY, 13902-6000, U.S.A, Ann Arbor

Subject Terms: Partially Ordered Set, Convex and Discrete Geometry, Geometry, Mathematics, Theory of Computation, Characteristic Polynomial, Signed Graph, Gain Graph, Biased Graph, Chromatic Polynomial, Bias Matroid, Lift Matroid, Root System, Arrangement of Hyperplanes, Hilbert Polynomial, Graded Poset, American and Canadian Studies, Humanities, Social Sciences

File Description: 272549 bytes; 3115 bytes; application/pdf; text/plain

Relation: Hanlon, Phil; Zaslavsky, Thomas; (1997). "Tractable Partially Ordered Sets Derived from Root Systems and Biased Graphs." Order 14(3): 229-257.; https://hdl.handle.net/2027.42/43341; http://dx.doi.org/10.1023/A:1006086805922; Order

Availability: https://doi.org/10.1023/A:1006086805922
https://hdl.handle.net/2027.42/43341

Authors: Barvinok, Alexander I.

Contributors: Department of Mathematics, University of Michigan, Ann Arbor, MI 48109-1043, USA, Ann Arbor

Subject Terms: Applications of Mathematics, Mathematics, Wick Formula, Random Subspaces, Polynomials, Computer Science, General, Math Applications in Computer Science, Linear and Multilinear Algebras, Matrix Theory, Numerical Analysis, Integration, Algorithms, Gaussian Measure, Philosophy, Humanities, Engineering

File Description: 257913 bytes; 3115 bytes; application/pdf; text/plain

Relation: Barvinok, Alexander; (2006). "Integration and Optimization of Multivariate Polynomials by Restriction onto a Random Subspace." Foundations of Computational Mathematics (): -.; https://hdl.handle.net/2027.42/45853; http://dx.doi.org/10.1007/s10208-005-0178-x; Foundations of Computational Mathematics

Availability: https://doi.org/10.1007/s10208-005-0178-x
https://hdl.handle.net/2027.42/45853

Authors: Boyd, John P.

Contributors: Department of Atmospheric, Oceanic and Space Science and Laboratory for Scientific Computation, University of Michigan, 2455 Hayward Avenue, Ann Arbor, MI, 48109, USA, Ann Arbor

Subject Terms: Theory of Computation, Mathematics, General, Algorithms, Spectral Method, Algebra, Chebyshev Polynomials, Spectral Element Method, Computer Science, Numeric Computing, Science

File Description: 124933 bytes; 3115 bytes; application/pdf; text/plain

Relation: Boyd, John P.; (2005). "Chebyshev Solution of the Nearly-Singular One-Dimensional Helmholtz Equation and Related Singular Perturbation Equations: Multiple Scale Series and the Boundary Layer Rule-of-Thumb." Numerical Algorithms 38(1): 197-207.; https://hdl.handle.net/2027.42/45436; http://dx.doi.org/10.1007/s11075-004-2865-0; Numerical Algorithms

Availability: https://doi.org/10.1007/s11075-004-2865-0
https://hdl.handle.net/2027.42/45436

Authors: Bini, Gilberto

Contributors: Department of Mathematics, University of Michigan, 525 East University Ave., Ann Arbor, MI, 48109, USA, Ann Arbor

Subject Terms: Mathematics, Computer Science, General, Group Theory and Generalizations, Order, Lattices, Ordered Algebraic Structures, Combinatorics, Convex and Discrete Geometry, Schur Q-polynomials, Projective Representations, Moduli Space of Curves, Science

File Description: 107575 bytes; 3115 bytes; application/pdf; text/plain

Relation: Bini, G.; (2002). "A Combinatorial Algorithm Related to the Geometry of the Moduli Space of Pointed Curves." Journal of Algebraic Combinatorics 15(3): 211-221.; https://hdl.handle.net/2027.42/46152; http://dx.doi.org/10.1023/A:1015025306777; Journal of Algebraic Combinatorics

Availability: https://doi.org/10.1023/A:1015025306777
https://hdl.handle.net/2027.42/46152

Authors: Pappas, Janice L., Fowler, Gary, Stoermer, Eugene F.

Contributors: Museum of Paleontology, Ann Arbor

Subject Terms: Diatoms, Morphometric, Orthogonal Polynomial Regression, Science (General), Ecology and Evolutionary Biology, Science

File Description: application/pdf

Relation: https://hdl.handle.net/2027.42/83681; Phycologia

Availability: https://hdl.handle.net/2027.42/83681

Authors: Rhode, Kristina M., Pappas, Janice L., Stoermer, Eugene F.

Contributors: Center for Great Lakes and Aquatic Sciences, University of Michigan, Ann Arbor, Michigan 48109-1090, Division of Ichthyology, Natural History Museum, 1345 Jayhawk Blvd., Lawrence, Kansas 66045-7561

Subject Terms: Bacillariophyta or Bacillariophyceae, Diatoms, Legendre Polynomials, Meridion, Shape Analysis, Diversity, Natural Resources and Environment, Science

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Relation: Rhode, Kristina M.; Pappas, Janice L.; Stoermer, Eugene F. (2001). "QUANTITATIVE ANALYSIS OF SHAPE VARIATION IN TYPE AND MODERN POPULATIONS OF MERIDION (BACILLARIOPHYCEAE)." Journal of Phycology 37(1): 175-183.; http://hdl.handle.net/2027.42/65187; Journal of Phycology; Afifi, A. A. & Clark, V. 1996. Computer-Aided Multivariate Analysis. Chapman & Hall, London, 455 pp.; Anonymous. 1975. Proposals for a standardization of diatom terminology and diagnoses. Nova Hedwigia Beiheft 53 : 323 – 54.; Barber, H.G. & Haworth, E. Y. 1981. A Guide to the Morphology of the Diatom Frustule. Titus Wilson & Son, Kendal, UK, 122 pp.; Bradbury, J. P. & Krebs, W. N. 1982. Neogene and quaternary lacustrine diatoms of the western Snake River Basin Idaho–Oregon, USA. Acta Biol. Acad. Scientiar. Hung. 25 : 97 – 122.; Cohen, J. 1960. A coefficient of agreement for nominal scales. Educ. Psychol. Measur. 20 : 37 – 46.; Cumming, B. F., Wilson, S. E., Hall, R. I. & Smol, J. P. 1995. 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Availability: https://doi.org/10.1046/j.1529-8817.2001.037001175.x
http://hdl.handle.net/2027.42/65187