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By G. H. Hardy

There might be few textbooks of arithmetic as recognized as Hardy's natural arithmetic. for the reason that its e-book in 1908, it's been a vintage paintings to which successive generations of budding mathematicians have became first and foremost in their undergraduate classes. In its pages, Hardy combines the passion of a missionary with the rigor of a purist in his exposition of the elemental principles of the differential and essential calculus, of the houses of endless sequence and of different issues concerning the suggestion of restrict.

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EPDM being stiffer than the other two rubbers, its dispersion is comparatively inferior as observed from the nanotube bundles in TEM image [80, 81]. However, the level of dispersion depends on the extent of interaction between elastomers and CNTs. 1 XRD Most elastomers are amorphous at room temperature unless stretched. Nanofillers being crystalline in nature often exhibit XRD peaks. K. Jana et al. Fig. 2 (A) X-ray diffraction patterns of PU, MWCNT and PU/MWCNT composites with different MWCNT loadings [82].

2A [82]. 8 , corresponding to crystalline graphite. All three peaks are present in the composites indicating the incorporation of small amount of fillers which do not change any structure of matrix or vice-versa. Figure 2B displays the wide angle X-ray diffraction patterns of pure TPU, CNF and their composites with different concentration of CNF. 44 Å) corresponds to the ordered arrangement of different crystal surface of the concentric cylinders of crystalline graphitic carbons [84]. However, for both the cases a minimum amount of filler (5 wt% CNT and 4 wt% CNF) is required to appear for its peak in XRD patterns.

1. Chemical kinetics. J Nanosci Nanotechnol 2:523–34 36. Zajickova L, Jasek O, Elias M, Synek P, Lazar L, Schneeweiss O, Hanzlikova R (2010) Synthesis of carbon nanotubes by plasma-enhanced chemical vapor deposition in an atmospheric-pressure microwave torch. Pure Appl Chem 82:1259–1272 37. Tasis D, Tagmetarchis N, Bianco A, Prato M (2006) Chemistry of carbon nanotubes. K. Jana et al. 38. Wang Z, Zu X, Gao F, Weber WJ (2006) Atomistic simulation of brittle to ductile transition in GaN nanotubes.

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