Bon Crowder has recently been exploring the similarities between the addition of even and odd addends and the multiplication of positive and negative factors. Read her post on this topic to find what she has discovered.
I was taught to think of a negative number as a positive number times negative one; so, in this way the only real negative number is -1 and it is a direction vector. Similarly, i is the only real imaginary number, since all other imaginary numbers (not complex ones) are real numbers times i, the “imaginary vector”.
This is not a math challenge in the sense I have normally been applying the term. There are no computations, but there is a puzzle, one which I have yet to explore.
In Bon’s post, she connects the addition of odds and evens to the multiplication of negatives and positives. I wonder then if there is a way to express an odd number in terms of an even value times an “odd vector”? What would that odd vector be?Follow @stefras