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Structured, factorized, and atomic representation?

I am currently reading Artificial Intelligence: A Modern Approach. Although terminology is factored, does structured and atomic representation confuse what they mean exactly?

In connection with programming ...

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I am not happy with what Russell and Norwig draw, but: In general, when you use AI methods to solve a problem, you will have a programmed model of the situation. Atomic / factorized / structured is a qualitative measure of how much the “internal structure” of these models has, at least from the majority.

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atomicState == goal: Y/N  // Is goal reached?

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factoredState{18} == goal{42}: N  // Is goal reached?
diff( goal{42}, factoredState{18}) = 24 // How much is difference?
// some other questions. the more features => more type of questions

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11grade@schoolA{John(Math=A-), Marry(Music=A+), Job1(doMath)..} == goal{50% ready for jobs}

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