Computing discrete logarithms
is apparently difficult (no efficient alogrithm is known), while the inverse problem of discrete exponentiation is not (it can be computed efficiently using exponentiation by squaring, for example).
Investigations of four types: a historical search, a conceptual analysis, clinical research involving mathematics teachers and their students, and the development of a curricular approach to logarithms
that address the historical and cultural foundation of this mathematical concept was constructively informed and guided by mapping.
(logs) are basically the inverse of exponents.
Starting with this simple fact, one can demonstrate that the same is true for areas of regions between the curve and the x-axis, and go on to prove properties of logarithms
and verify certain limits.
The results were then converted into logarithms
. Finally, these logarithms
were normalized so that they equaled zero in the second quarter of 1979, the beginning of the EMS.
The Edinburgh-born genius discovered logarithms
almost 400 years ago - and paved the way for the modern PC.
SIMPLE sums or mind-bending logarithms
, even the youngest of students will benefit from this fantastic scientific calculator.
The new methodology uses logarithms
, powers of two which compress the figures and change the complexity of the sums.
For business communicators, that's not such a novel concept - and we probably didn't have to suffer through logarithms
to arrive at the conclusion.
The Scottish mathematician John Napier (1550-1617) spent years working out formulas that would give him appropriate exponents for a great many numbers, and he called them logarithms
(from Greek words meaning "proportionate numbers").
The invention of logarithms
in 1614 by John Napier of Scotland laid the foundation for the slide rule.
If unmeasured luxury characteristics have been creating a growing number of high-value outliers, using logarithms
instead of untransformed values will reduce the likelihood that such growth will be interpreted as an increase in prices.