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Long Proofs of (Seemingly) Simple Formulas

In 2010, Spence and Van Gelder presented a family of CNF formulas based on combinatorial block designs. They showed empirically that this construction yielded small instances that were orders of magnitude harder for state-of-the-art SAT solvers than other benchmarks of comparable size, but left open the problem of proving theoretical lower bounds. We establish that these formulas are exponentially

Insulin and glucagon release from the isolated pancreas of foetal and newborn mice

The simultaneous release of insulin and glucagon was studied with isolated pancreas preparations from foetal and newborn mice. Glucose, alone or in combination with arginine, did not affect immunoreactive insulin (IRI) of glucagon-like immunoreactivity (GLI) release from the pancreases of 18-day-old foetal mice. However, on the first postnatal day, glucose stimulated the release of IRI and, in the