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HASKELL COMMAND • HASKELL RESPONSE • horner10 [1, 2, 3, 4] 4321 The multAdd function is tailored specifically for use in the definition of horner10. It is not likely to be needed outside the context of that definition. For this reason, it would be better to make the definition of multAdd private, to be used only by horner10. Haskell provides a notation, known as the where-clause, for defining names that remain unknown outside a particular context. Names defined in a where-clause are for the private use of the definition containing the where-clause.

D1 d0 dn×10n + dn-1×10n-1 + ⋅ ⋅ ⋅ + d1×101 + d0×100 = ( ⋅ ⋅ ⋅ (dn×10 + dn-1)×10 + ⋅ ⋅ ⋅ + d1)×10 + d0 = d0 + 10 ×( d1 + ⋅ ⋅ ⋅ + 10×(dn-1 + 10×dn) ⋅ ⋅ ⋅) 1492 = d0 ⊗ ( d1 ⊗ ⋅ ⋅ ⋅ ⊗ (dn-1 ⊗ dn) ⋅ ⋅ ⋅) one-thousand four-hundred ninety-two where d ⊗ s = d + 10 × s If the digits in a decimal numeral are dn dn-1 . . d1 d0, where di is the digit in the 10i position, then the number the numeral denotes is the following sum: dn×10n + dn-1×10n-1 + ⋅ ⋅ ⋅ + d1×101 + d0×100 A direct way to compute this sum would be to compute the powers of ten involved, multiply these quantities by the appropriate coefficients (the di values), then add up the results.

It delivers a value of the same type as its second argument. The function was originally designed to remove the character specified in its first argument from a string supplied as its second argument and to deliver as its value a copy of the supplied string with all instances of the specified character deleted. That is, the type of the function that the person who defined it had in mind was Char->[Char]->[Char], a special case of a->[a]->[a]. The Haskell system deduces the types of functions defined in scripts.

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