The Vautour-Hodges Theorem: Nobel Prize-Worthy Formula Nearly Formulated!

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Over at the Marmot's Hole is a thread discussing the relative friendliness of nations. I wasn't planning to participate in that discussion, but the cogs of my mental processes were jolted into motion through a query by Douglas Vautour:

DV: I would like to know what the scientific unit of measurement for 'friendliness' is.

HJH: The objective scientific unit for measuring "Apparent Friendliness" is "one smile," but the number of smiles in a particular year must be divided by the total quantity of a country's "Nationalism" for an adjusted measure of "Real Friendliness."

DV: Put that into an oversimplified mathematical-looking formula, and we'll get our PhDs for sure. We can call it the Vautour-Hodges Theorem. We'll make tens!

HJH: Sounds good to me! If you'll merely quantify "Nationalism," we'll be in the running for a Nobel prize!

DV: N(personal)=(# of times you can sing the national anthem in a metric hour)*(# of immigrants you've had deported in the previous 12 months+1), reported in units of renditions x people/hour, commonly known as an 'arizona'. True Fun Fact!: You have to have at least 560 ari to become a Minute Man. The more you know, huh?

HJH: Now, we're making progress. I concede your mathematical capacity exceeds my own. I see what you mean in your comment, but I have a question or two. Why the "12 months+1" rather than just "12 months"? That's my substantive query. What operation does the asterisk stand for? Multiplication? That's my procedural query. Yours in Nobelity!

DV: If you've never deported anyone, you'll get a score of 0, no matter how many times you can sing the national anthem in an hour, if you don't have the plus 1. and * is multiplication. Finally, my degree comes in handy.

HJH: Excellent! Now, since you're the far better mathematician, you may have the honor of putting the entire expression into a mathematical formula expressing "Real Friendliness"!

DV: I think I'm going to need government funding to pursue this further. 100,000 should do nicely.

HJH: Good idea, but since this is joint research, we'll need more like 1,000,000 . . . each. Travel expenses and photocopying, that sort of thing . . .

The Vautour-Hodges Theorem expressing "Real Friendliness" as a number is merely two million US currency-units distant from the moment that grant is granted! Nobel Prize, here we come!