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Perspective is a most subtle discovery in mathematical studies Leonardo da Vinci (Attributed) Collapsing dimensions sound like the premise of a creepy science fiction film. But art, engineering, and architecture have used them for centuries. The angles in (A’s) 12th-century painting do not truly represent what the eye sees. Art, up to the 1500s, suffered […]
Hit ’em where they ain’t. Wee Willie Keeler I finished a run the other day and stretched at the trail’s end. I looked down, and an ant caught my eye. Starting from position A1, it reached A2 and seemed to be going in a circle for a moment. But then, as its path widened to […]
The race is not always to the swift, nor the battle to the strong, but that’s the way to bet. Damon Runyon According to Harvard professor Clayton Christensen, nearly 30,000 new products are introduced yearly, and 95% fail. But there are ways that one can help increase the potential for product success. It involves determining […]
To reject one paradigm without simultaneously substituting another is to reject science itself. Thomas S. Kuhn No rejection of science here. But we can dismiss an ineffective paradigm. Paul Samuelson wrote that the law of supply and demand, the root paradigm of economics, meant that “the equilibrium price, i.e., the only price that can last…must […]
It’s not what you look at that matters; it’s what you see Henry David Thoreau Many of you asked about it; now I can tell you: I’ve signed a deal with Wiley to publish my book, Using Hidden Dimensions to Solve Unseen Problems: Hypernomics and Markets. It studies market phenomena we haven’t been able to […]
There are no solutions; there are only trade-offs Thomas Sowell Forget the “classic” choice model between guns and butter with its single imaginary frontier. Such notions offer no basis for action. Never settle for heuristics when you can have analytics. To reveal true alternatives, we’ll need to do some heavy lifting. In 4D. No, really. […]
One should concentrate on getting interesting mathematics. Paul Dirac Let’s examine how markets work together across 7 dimensions. Far from being some exotic mathematical anomaly, such arrangements occur daily across many markets. Please feel free to offer some feedback. To make a pencil, given wood, you’ll need graphite. Making a bike takes a frame and […]
Cost, Price, and The Space Between I sing my heart out to the wide open spaces Pet Townshend This month, we’ll study the difference between cost and price, why it matters, and how knowing how both behave in tandem is the key to success. I know from our analytics that most of you are in […]
Together we stand, divided we fall; come on now, people, let’s get on the ball and work together. Canned Heat, Let’s Work Together Upper Demand Frontiers form in every market outside of commodities. You can prove this by plotting shares for all S&P 500 companies on the horizontal axis against their sales prices on the […]
It is the obvious which is so difficult to see most of the time. Isaac Asimov, I, Robot Here’s a question with a seemingly obvious answer: How many stocks are part of the S&P 500? If you guessed 500, you’d be close, as there are 504 companies listed there today. You likely know that not […]