Infinitesimals:“Do the math” in a different dimension, and bring it back to the “standard” one (just like taking the real part of a complex number; you take the “standard” part of a hyperreal number — more later) Nobody ever told me: Calculus lets you work at a better level o...
The answer has to be worked out — exponents are a way of saying “Begin with these conditions, start changing, and see where you end up”. The expand-o-tron (or our calculator) does the work by crunching the numbers to get the final scaling factor. But someone has to do it. Unders...
Why are logarithms used in Snell's law? Why is ichthyology important? Why dont humans have cellulase? Why is etiology important? Why does exfoliative toxin affect stratum granulosum? Why can a 75% alcohol solution act as a disinfectant?
Yes, in a sense, logarithms are themselves exponents. Logarithms have bases, just as do exponentials; for instance, log5(25) stands for the power that you have to put on the base 5 in order to get the argument 25. So log5(25) = 2, because 52 = 25....
As dependent variables in the former case we use the logarithms of labor, wage, housing price, and resource stocks, and in the latter case we use the logarithms of the share of people with higher education, the high-qualified to low-qualified worker wage ratio, the higher quality to ...
Q: How do lenses that concentrate light not violate the second law of thermodynamics? If you use a magnifying glass to burn ants, aren’t you making a point hotter than the ambient temperature without losing energy? Q: What makes natural logarithms natural? What’s so special about the numb...
of variability. It turns out that relative computer performance numbers on related benchmarks tend to follow a *lognormal* distribution, whose appropriate mean is a Geometric mean, which is short a shorthand way of computing an average of logarithms and than back-transforming to the original ...
It was first referenced during the early 17th century in a book of logarithms by John Napier. While this work referenced this constant, it didn’t actually contain it. The first known use of it wouldn’t come until 1690 when Gottfried Leibniz used it in correspondence to Christiaan Huygens....
The logarithms are right on Pedestrian At Best. Great lyrics about paramedics. She seems for real and has good tunes with words that can jump out at you. Cos I think I always liked me mum’s Sheryl Crow CDs, but I never wanted to admit it. ...