Quick Responses Mean Positive Results

Strange But True
Q. “Magic squares” are square arrays of numbers where any row, column or diagonal sums up to the same number. So what’s the smallest magic square you can think of?
A. Magic squares go back in history to at least 10th century Persia and India, often involving the numbers 1, 2, 3, 4… up to the number of cells in the array, says Ian Stewart in Professor Stewart’s Incredible Numbers. “These have no great significance in mathematics, but they’re fun.” A classic small square uses the digits 1 through 9, as follows:

As you can see, its magic “constant” is 15: Since all nine digits are included, their total is 1 + 2 + 3… + 9 = 45, which divided by 3 equals 15. “The square shows other patterns as well: The even numbers occupy the four corners. Diametrically opposite numbers always add to 10.”
Now for an order-four magic square from the tenth century:
Here, 34 is the magic constant (there are actually 880 fundamentally different order-four magic squares).
Source: Bill Sones and Rich Sones, Ph.D.
On the Pulse
Morgan Stanley recently polled high net worth investors (people with $100,000 in investable income or more) in the San Francisco metro market to gauge their investment interests by industry and topic. The Morgan Stanley Investor Pulse Poll, which ran last quarter 2014, surveyed 300 investors ages 25 to 75. Here’s a sampling of results:
84% are very likely or somewhat likely to invest in the technology industry in 2015.
60% will likely invest in real estate.
67% say they’ll invest in biotech.
30% anticipate investing in the wine industry.
The topics most important to them are:
Water conservation (96%)
Healthy living (89%)
Clean energy (85%)
Resource and waste management (81%)
Climate change (71%)
Food including organic, non-GMO or humanely raised (64%)