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Mathematical Constants II
Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
The Transfer of Sin
According to the apostle Paul, Christ was made sin. What does this mean: can sin be transferred? Was Christ punished? At the end of the 17th century, in the so-called Third Antinomian Controversy English and Dutch Reformed theologians discussed the concept of imputation in its interrelationship with forgiveness, punishment, and justice. This study helps you to understand their complex and fascinating theological and philosophical reflections. Because these same themes had already been extensively discussed in the preceding century in the context of debates against Socinianism, the Antinomian Controversy is framed within an interconfessional and international context, highlighting the significance of Socinians and Hugo Grotius.
Contract Modifications in EU Procurement Law
Contract Modifications in EU Procurement Law provides readers with a comprehensive overview of the process of contract modification under European Union (EU) procurement law. The book examines the origin of the regulations pertaining to modifications, the legal grounds for modification and limitations under current rules. In addition, the book outlines the legal effects of carrying out a modification breach under EU law.
Journal of the Society of Chemical Industry
Includes list of members, 1882-1902 and proceedings of the annual meetings and various supplements.
European Public Procurement
This detailed Commentary provides an authoritative interpretation of each provision in the main EU Directive on public procurement - Directive 2014/24/EU, and is rich in its critical analysis of the provisions of the 2014 Directive and the case-law. The Commentary also highlights the application problems and interpretative issues being raised in EU Member States, which in due time will make their way up to the CJEU or even require further legislative interventions.
