Log 47

"Until now, most environmental discourse in architecture has focused on carbon as a by-product of building and construction," writes guest editor Elisa Iturbe in Log 47, "making it seem that at the ecological brink, architecture's most pressing concern is energy efficiency." "Overcoming Carbon Form," Log's 200-page thematic Fall issue, reconceives architecture's role in climate change, away from sustainability and solutionism and toward architecture's formal complicity and potential agency in addressing the climate crisis. As Iturbe writes, "Decarbonization is not solely a question of technology and buildings systems but also a theoretical question for architecture and the city, one that questions carbon modernity as an obsolete cultural and material foundation for architecture." To that end, the 24 authors - architects, artists, sociologists, historians, novelists, and policy makers - approach architecture's role in the climate crisis in widely varied ways. From Pier Vittorio Aureli and Maria Shéhérazade Giudici on rethinking private property to Michael Bell and Eunjeong Seong on the house as power plant; from Holly Jean Buck on carbon sequestration infrastructure to Mimi Sheller on the military-infrastructural complex; from Skender Luarasi on anticipation to Albert Pope on urban obsolescence; from Lizzie Yarina on neoliberal resilience schemes and Gökçe Günel on a status quo utopia to Tahl Kaminer on the impossibility of autarky and Douglas Spencer on the fantasy of island life. Also in this issue, Kiel Moe on new perspectives, Rania Ghosn on geographic externalities, Laurence Lumley on asphalt, Ingrid Halland on plastic, Greg Lindquist on rolling coal, and Daniel A. Barber on air-conditioning. Plus an excerpt from Amitav Ghosh's book The Great Derangement and a conversation with Rhiana Gunn-Wright on the Green New Deal.

Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887-1920), with editorial contributions from G. H. Hardy (1877-1947). Detailed notes are incorporated throughout and appendices are also included. This book will be of value to anyone with an interest in the works of Ramanujan and the history of mathematics.

This book presents research results concerning the distribution of prime numbers. The first major result discussed is the supremum for the maximal prime gaps. By an implementation of a binomial coefficient the maximal prime gaps supremum bound is proved, simultaneously establishing the infimum for primes in the short interval. Subsequently, a novel application of the theory of the primorial function establishes the tailored logarithmic integral, which is a superior adaptation of the classical Gauss' logarithmic integral. The tailored integral due to its radically improved accuracy over the Gauss' logarithmic integral, constitutes the supremum bound of estimation of the prime counting function. It presents the possibility to estimate the prime counting function with unprecedented accuracy.