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It was a remarkable formula for creating resistance in another country where surrender wasn't good enough.
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To obtain the formula for coefficients (B_{k}) on an arbitrary space scale similar to the remarkable formula (4.20) on a continuous space scale, it would be interesting to extend the orthogonality of the exponential functions on the unit circle to Hilger exponential functions, but we do not think it is possible.
Substituting π for θ in the formula gives eiπ = −1, which is surely the most remarkable formula in mathematics.
Rota [25] called Euler-Maclaurin method 'one of the most remarkable formulas of mathematics'.
The Horiuchi-Coale formula provides a remarkable improvement in terms of estimation errors over both the classical and the extrapolation methods at all levels of life expectancy (Table 1, Figs. 1 and 2, plots f, h, l, m), although the parameters for the formula were estimated back in the 1980s.
But what a formula, and what a remarkable value its inexpensive tickets represent.
The formula, still in use, has had a remarkable run.
A remarkable day!
Remarkable figures for a remarkable cricketer.
A remarkable woman.
It's a remarkable read.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com