Monday, January 25, 2010

Wigglish sums, products, and quotients

To make a sum using wiggle, write the addends as a string of superdigits, and interpose `1`s as interbases, e.g.

`\qquad\qquad\qquad a + b + c + d  =  a_{1)b_{1}c_{1}d.`

Summation is essentially wiggle in base one.

To make a product using wiggle, write the factors as a string of interbases.  Then write `1` as the first superdigit and `0`s for all remaining superdigits, e.g.

`\qquad\qquad\qquad a  b  c  d  =  1_{a)0_{b}0_{c}0_{d}0.`

To make a quotient using wiggle, treat the numerator and denominator as you would for a fraction, e.g.

`\qquad\qquad\qquad p -: q  =  p // q  =  p/q  =  q  \\  p  =  0;_{q}p.`

There is no particularly easy way to represent negation or subtraction in wiggle.

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