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2013, 1st ed., ISBN 0199535256, x, 481
Concentration inequalities for functions of independent random variables is an area of probability theory that has witnessed a great revolution in the last few... 
Inequalities (Mathematics) | Probabilities | Mathematics | Mathematical models | Methodology | Mathematical statistics
Book
Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 6/2010, Volume 107, Issue 25, pp. 11459 - 11464
Journal Article
Journal Article
9. Full Text Preparation of a positively charged nanofiltration membrane based on hydrophilic-hydrophobic transformation of a poly(ionic liquid)Electronic supplementary information (ESI) available: PWF and rejection to PEG 10 000, PEG 20 000 of PSf supporting membrane at 0.2 MPa (Table S1); (A) 1H NMR spectrum (12-0 ppm) of the PIL product (prepared with VIM and BuBr and obtained by drying the original reacted aqueous solution without further purification), (B) enlarged 1H NMR spectrum of (A) in the range of 6 to 3 ppm and (C) 1H NMR spectrum (6-3 ppm) of the product of the PIL homopolymer (prepared with an IL monomer and obtained by drying the original reacted aqueous solution without further purification) in D2O at 25 °C (Fig. S1); integrations of peaks in the spectrum of the product (obtained by drying the original reacted aqueous solution without further purification) in D2O at 25 °C in Fig. S1(A) and Table S2; rejection to CuSO4, CoSO4 and NiSO4 of PIL/PSf (Fig. S2); PWF and MgCl2 rejection of PIL/PSf prepared from aqueous KPF6 with concentrations of 40, 50, 60, 70 and 80 mg mL−1, when the hydrophilic PIL concentration was fixed to 6 wt% (Fig. S3); SEM images of PIL/PSf prepared from aqueous KPF6 with concentrations of 40, 50, 60, 70 and 80 mg mL−1, when the hydrophilic PIL concentration was fixed to 6 wt% (Fig. S4); deposition degree of PIL/PSf prepared from aqueous KPF6 with concentrations of 40, 50, 60, 70 and 80 mg mL−1, when the hydrophilic PIL concentration was fixed to 6 wt% (Fig. S5); streaming potential of PIL/PSf prepared from aqueous KPF6 with concentrations of 40, 50, 60, 70 and 80 mg mL−1, when the hydrophilic PIL concentration was fixed to 14 wt% (Fig. S6); distribution of elements F and Br in the surface of PIL/PSf prepared from aqueous KPF6 with concentrations of 40, 50, 60, 70 and 80 mg mL−1, when the hydrophilic PIL aqueous concentration was fixed to 14 wt%, investigated by EDS (Oxford Instrument X-MAX 50) (Fig. S7); mole ratio of elements F to Br and PF6− to Br− in the surface of PIL/PSf prepared from aqueous KPF6 with concentrations of 40, 50, 60, 70 and 80 mg mL−1, when the hydrophilic PIL aqueous concentration was fixed to 14 wt%, investigated by EDS (Oxford Instrument X-MAX 50) (Table S3); simulation of the hydrophobic PIL formation process in the membrane pores with small tubes (Fig. S8); PWF and MgCl2 rejection of PIL/PSf prepared from unpurified and purified hydrophilic PIL when the aqueous hydrophilic PIL concentration was fixed to 14 wt% and with an aqueous KPF6 concentration of 60 mg mL−1 (Fig. S9). See DOI: 10.1039/c5ta01823d
ISSN 2050-7488, 6/2015, Volume 3, Issue 23, pp. 12367 - 12376
In this work, we report a novel method to prepare a positively charged nanofiltration (NF) membrane by rapid counter-ion exchange of a poly(ionic liquid) (PIL)... 
Journal Article
Reference
2013, ISBN 0199535256
An accessible account of the rich theory surrounding concentration inequalities in probability theory, with applications from machine learning and statistics... 
Inequalities (Mathematics) | Probabilities
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