Using falling factorial notation for the derivatives and expanding the binomial coefficients in factorial form yields
2.
After the 1800s, Christian Kramp would promote factorial notation during his research in generalized factorial function which applied to non-integers.
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Where the interaction term ( x _ 1 \ times x _ 2 ) could be formed explicitly by multiplying two ( or more ) variables, or implicitly using factorial notation in modern statistical packages such as Stata.
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