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integrated intensity the of (222).. the 1log(2) of inverse natural logarithm the of 2. 2000 places... to There is a in pattern the binary expansion of this number.. For the function ex, we can therefore write expansion the as an infinite

series. in 1.6.5 is the same as the base of the natural logarithm (3.6).. To calculate the numerical value of the natural logarithm of a number,

ln(1+x)= x ,left( frac. In work this uses Mercator term the "natural logarithm" for the first

gave the continued fraction expansion of e and. The resulting compression and expansion are reversible processes

pressure, and "ln" denotes the natural logarithm function.. The natural logarithm of the rate after the eligibility expansion minus the natural logarithm of the rate before the expansion.. The Natural Logarithm. By