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Just one nit: it's "immemorial" not in "in memorial". This would actually be an interesting topic to write about. You see these homophone-like substitutions all the time on Slashdot. One would think that they would occur frequently for words that are used predominantly in speech as opposed to writing. In speech you'd be more likely to have mispronunciations based on how the word looks on paper.
And an aside, I don't think any method of distribution would stop my nieces and nephews from arguing. I think they do it not because they want the object but more as a way of challenging and maintaining pecking order.

"In memorial" might qualify as an eggcorn:

You write: "can cut the cake in such a way that the value she places on her piece is approximately the same as the value Kimba places on his piece -- possibly with the result that both might feel they are making out like a bandit and getting 65% of their heart's desire. It all comes down to perceived value."

In order for this to work in real-world disputes like land settlements, then, wouldn't the different parties have to value the land for different reasons? In the cake example, one person could like the chocolate part, another the vanilla. But for land, doesn't everybody want the fertile areas? the waterfronts? And how are these "perceived values" actually defined and measured in the real-world situations?

Yes, exactly --but you're not quite correct in saying that "everybody" wants the same thing when it comes to land. It depends on what they plan to use it for, among other variables -- who cares if its fertile if you're looking to open city dump? Or maybe someone has a health condition, or fear of water, that makes them prefer inland areas. The point in both examples is not that everyone gets everything they want, but through a long process of negotations, based on what each party values most, everyone can come away thinking they got, if not the perfect deal, at least a fair or better deal.

You should check out the full article; it goes into all this stuff in depth, far more detail than one can include in a humble blog post.

On that cake cutter thing: depending the "stength" of the cake material to stand upright and withstand pressure applicaed while cutting(esepecially for later cuts), it must be possible to turn the cutter by a small angle and cut and hence obtain n*8 number of equal slices (provided one can guage what that right fractional turn is). And then you will probably have someone who wants just a small slice anyway and they ill bail you out, when you dont manage to turn just right.

I find it extremely ironic that in one paragraph we read about the childishness of not sharing and in the very next paragraph we read about this whizzy cool new paper on how to share equitably ... but the authors aren't sharing it.

Or is it just me.

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    Physics Cocktails

    • Heavy G
      The perfect pick-me-up when gravity gets you down.
      2 oz Tequila
      2 oz Triple sec
      2 oz Rose's sweetened lime juice
      7-Up or Sprite
      Mix tequila, triple sec and lime juice in a shaker and pour into a margarita glass. (Salted rim and ice are optional.) Top off with 7-Up/Sprite and let the weight of the world lift off your shoulders.
    • Listening to the Drums of Feynman
      The perfect nightcap after a long day struggling with QED equations.
      1 oz dark rum
      1/2 oz light rum
      1 oz Tia Maria
      2 oz light cream
      Crushed ice
      1/8 tsp ground nutmeg
      In a shaker half-filled with ice, combine the dark and light rum, Tia Maria, and cream. Shake well. Strain into an old fashioned glass almost filled with crushed ice. Dust with the nutmeg, and serve. Bongos optional.
    • Combustible Edison
      Electrify your friends with amazing pyrotechnics!
      2 oz brandy
      1 oz Campari
      1 oz fresh lemon juice
      Combine Campari and lemon juice in shaker filled with cracked ice. Shake and strain into chilled cocktail glass. Heat brandy in chafing dish, then ignite and pour into glass. Cocktail Go BOOM! Plus, Fire = Pretty!
    • Hiroshima Bomber
      Dr. Strangelove's drink of choice.
      3/4 Triple sec
      1/4 oz Bailey's Irish Cream
      2-3 drops Grenadine
      Fill shot glass 3/4 with Triple Sec. Layer Bailey's on top. Drop Grenadine in center of shot; it should billow up like a mushroom cloud. Remember to "duck and cover."
    • Mad Scientist
      Any mad scientist will tell you that flames make drinking more fun. What good is science if no one gets hurt?
      1 oz Midori melon liqueur
      1-1/2 oz sour mix
      1 splash soda water
      151 proof rum
      Mix melon liqueur, sour mix and soda water with ice in shaker. Shake and strain into martini glass. Top with rum and ignite. Try to take over the world.
    • Laser Beam
      Warning: may result in amplified stimulated emission.
      1 oz Southern Comfort
      1/2 oz Amaretto
      1/2 oz sloe gin
      1/2 oz vodka
      1/2 oz Triple sec
      7 oz orange juice
      Combine all liquor in a full glass of ice. Shake well. Garnish with orange and cherry. Serve to attractive target of choice.
    • Quantum Theory
      Guaranteed to collapse your wave function:
      3/4 oz Rum
      1/2 oz Strega
      1/4 oz Grand Marnier
      2 oz Pineapple juice
      Fill with Sweet and sour
      Pour rum, strega and Grand Marnier into a collins glass. Add pineapple and fill with sweet and sour. Sip until all the day's super-positioned states disappear.
    • The Black Hole
      So called because after one of these, you have already passed the event horizon of inebriation.
      1 oz. Kahlua
      1 oz. vodka
      .5 oz. Cointreau or Triple Sec
      .5 oz. dark rum
      .5 oz. Amaretto
      Pour into an old-fashioned glass over (scant) ice. Stir gently. Watch time slow.