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Guy Burckhardt finds himself trapped in a perplexing and eerie reality, waking up to the same day, June 15th, over and over again. The world around him seems laced with an uncanny artificiality, and bizarre, aggressive advertisements abound. Desperate to escape this mysterious loop, Guy embarks on a tense journey to uncover the truth, only to stumble upon a shocking revelation about his existence and the world he inhabits. Frederik Pohl’s tale is a labyrinthine enigma, a suspenseful exploration of reality, manipulation, and the clandestine machinations of unseen forces.
Crude oil pipelines connecting the busiest Texas oil fields to a critical export hub across the state are nearly out of space, threatening to cap US oil exports at a time when the world needs more.
We consider an infinite series, due to Ramanujan, which converges to a simple expression involving the natural logarithm. We show that Ramanujan’s series represents a completely monotone function, and explore some of its consequences, including a non-trivial family of inequalities satisfied by the natural logarithm, some formulas for the Euler–Mascheroni constant, and a recurrence satisfied by the Bernoulli numbers. We also provide a one-parameter generalization of Ramanujan’s series, which includes as a special case another related infinite series evaluation due to Ramanujan.
Researchers create a 2D array of molecular switches with 12 controllable states per molecule, showing promise for next-generation ultra-high-density memory systems.