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In mathematics, the infinite series 1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1.
Today, a more standard phrasing of Archimedes' proposition is that the partial sums of the series 1 + 1 / 4 + 1 / 16 + ⋯ are: + + + + = +. This form can be proved by multiplying both sides by 1 − 1 / 4 and observing that all but the first and the last of the terms on the left-hand side of the equation cancel in pairs.
This list contains a list of EC numbers for the third group, EC 3, hydrolases, placed in numerical order as determined by the Nomenclature Committee of the International Union of Biochemistry and Molecular Biology.
In 1988 Toto released their next album The Seventh One, featuring Jon Anderson of Yes on backup vocals on the single "Stop Loving You". The album's other single, "Pamela", became very popular and would be the band's last to hit the US Top 40. The Seventh One became the band's most successful release since Toto IV. [23]
One gram of uranium (in radioactive equilibrium) contains only 2 × 10 −10 gram of 227 Ac. [30] [57] Actinium-228 is a member of the radioactive thorium series formed by the decay of 228 Ra; [60] it is a β − emitter with a half-life of 6.15 hours. In one tonne of thorium there is 5 × 10 −8 gram of 228 Ac. It was discovered by Otto Hahn ...