“…Any reasonable course in calculus covers everything needed to understand this book. …”
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“…They now contain Lebesgue’s differentiation theorem as well as his versions of the Fundamental Theorem(s) of Calculus. With expanded chapters, additional problems, and an expansive solutions manual, Basic Real Analysis, Second Edition, is ideal for senior undergraduates and first-year graduate students, both as a classroom text and a self-study guide. …”
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“…The second part  presents quantitative descriptions that are based on pre-calculus and advanced algebra, providing a more formal treatment for students who have the necessary mathematical background. …”
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“…The book addresses readers with an interest in continuum modelling of solids from engineering and the sciences alike, whereby a sound knowledge of tensor calculus and continuum mechanics is required as a prerequisite.    …”
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“…Prior courses in physics and in calculus are assumed. Intermediate Physics for Medicine and Biology, Fifth Edition is also ideal for self study and as a reference for workers in medical and biological research. …”
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“…Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. …”
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“…Differential geometry, as its name implies, is the study of geometry using differential calculus. It dates back to Newton and Leibniz in the seventeenth century, but it was not until the nineteenth century, with the work of Gauss on surfaces and Riemann on the curvature tensor, that differential geometry flourished and its modern foundation was laid. …”
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“…You won't need any mathematics beyond secondary school, and an accessible introduction to calculus is also included. The ambition of this guide is to make neural networks as accessible as possible to as many readers as possible - there are enough texts for advanced readers already! …”
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“…Elementary algebra, arithmetic and some calculus knowledge are the only prerequisites. Number theory gives precise proofs and theorems of an irreproachable rigor and sharpens analytical thinking, which makes this book perfect for anyone looking to build their mathematical confidence.…”
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“…CT of the abdomen and pelvis with intravenous contrast was notable for moderate amounts of left-sided perinephric and periureteric fluid without the presence of an obstructing calculus. Due to the amount of perinephric and periureteric fluid without associated nephrolithiasis, the differential diagnosis was broadened to include spontaneous ureter rupture as well as concern for malignancy. …”
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“…On the other hand, the idea of calculus was employed to calculate the total harvested energy, leading to the proposed high-efficiency trajectory design. …”
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“…On clinical examination, there was minor surface plaque and calculus along with the formation of pseudopockets, but there was no clinical attachment loss. …”
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“…The surgical excision was done in-toto along with the removal of local irritants (calculus). The swelling was sent for histopathological examination. …”
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“…Deep pockets (greater than 4 mm) frequently retain calculus following NSPT. To attain direct access, surgical periodontal therapy (SPT) is recommended, particularly for pockets deeper than 5 mm. …”
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“…In both cases, no clinical evidence of periodontal disease (bleeding, calculus, etc.) was found; however, primary endodontic lesions with the possibility of drainage through the gingival crevice were present. …”
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“…The model is based on the fractional calculus approach and successfully describes the material rheology in a broad range of temperatures (−70 °C–+70 °C) and frequencies (0.1–100 s(−1)), using only six physically meaningful fitting parameters for each material. …”
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“…Available components include classes for data storage and handling (nucleotide/amino-acid/codon sequences, trees, distance matrices, population genetics datasets), various input/output formats, basic sequence manipulation (concatenation, transcription, translation, etc.), phylogenetic analysis (maximum parsimony, markov models, distance methods, likelihood computation and maximization), population genetics/genomics (diversity statistics, neutrality tests, various multi-locus analyses) and various algorithms for numerical calculus. CONCLUSION: Implementation of methods aims at being both efficient and user-friendly. …”
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“…We extend this approach to a situation where μ is unknown and suggest to vary it systematically over a range of reasonable values. Using differential calculus we provide formulas to estimate the range of μ where treatment effects are likely to occur when RTM is present. …”
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“…Other therapeutic procedures included removal of migrated JJ stents and FUR with the basket removal of a midureteric calculus. Three cases failed ureterorenoscopy due to technical difficulties. …”
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“…Computation of these metrics was based on graph theory and vector calculus. The cells and their three dimensional type I collagen microenvironment were modeled by three dimensional cell-graphs and collagen fiber organization was calculated from gradient vectors. …”
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