Weather

Intermediate Weather

I found a curious fact in a textbook today that relates to the Intermediate Value Theorem [1]. It claimed that if you draw a circle of any size on a map, there will be two diametrically opposite on the circle at which the temperature will be the same! This might make an interesting example when…

FoxTrot

September

Hope you all had a nice Labor Days weekend: for some a welcome day off after the first week or two of school, for others the last day of summer and back to school this week. The four featured post below are the most popular from the August – September period. As you know I…

The square root of 743 computed using the algorithm discussed in the post. The third iteration (fourth answer) is correct to 10 digits.

Calculators

First some history and then an opinion I remember buying my first electronic calculator in the late 1960s. It did addition, subtraction, multiplication, and division, and could remember one number. It displayed 8 digits and had a special button that displayed the next eight digits I remember using those next eight digits never. To buy…

Jean Gaston Darboux
1842 - 1917

Darboux’s Theorem

Jean Gaston Darboux was a French mathematician who lived from 1842 to 1917. Of his several important theorems the one we will consider says that the derivative of a function has the Intermediate Value Theorem property – that is, the derivative takes on all the values between the values of the derivative at the endpoints…