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An updated version of "25 or 6 to 4" was recorded for the 1986 album Chicago 18 with James Pankow listed as co-writer, and new band member Jason Scheff on lead vocals. It featured two verses instead of three. The single reached number 48 on the US chart.
It is the primary reactant in Yamaguchi esterification. 2,4,6-Trichlorobenzoyl chloride readily reacts with alcohols. This newly formed reagent, when mixed with a stoichiometric amount of 4-dimethylaminopyridine, cyclizes and forms esters. This reaction creates 2,4,6-trichlorobenzoic acid as a byproduct.
Tetration is also defined recursively as. allowing for attempts to extend tetration to non-natural numbers such as real, complex, and ordinal numbers . The two inverses of tetration are called super-root and super-logarithm, analogous to the nth root and the logarithmic functions.
National Football League (NFL): In the wake of the attacks, the NFL's week 2 games (September 16 and 17) were postponed and rescheduled to the end of the regular season (the weekend of January 6 and 7, 2002). The playoffs began 5 days later on January 12 and ended on February 3, 2002, with the Super Bowl, making it the first time the NFL's ...
The golden-section search is a technique for finding an extremum (minimum or maximum) of a function inside a specified interval. For a strictly unimodal function with an extremum inside the interval, it will find that extremum, while for an interval containing multiple extrema (possibly including the interval boundaries), it will converge to ...
Evolved from. 2-6-2+2-6-2. Under the Whyte notation for the classification of steam locomotives by wheel arrangement, a 4-6-2+2-6-4 is a Garratt or Union Garratt articulated locomotive using a pair of 4-6-2 engine units back to back, with the boiler and cab suspended between them. The 4-6-2 wheel arrangement of each engine unit has four leading ...
The quadratic excess E ( p) is the number of quadratic residues on the range (0, p /2) minus the number in the range ( p /2, p) (sequence A178153 in the OEIS ). For p congruent to 1 mod 4, the excess is zero, since −1 is a quadratic residue and the residues are symmetric under r ↔ p − r.
The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...