http://t3x.org/iq/refs.html

What to do with a high IQ?

Formulae

All formulae are given in Klong notation.

Short summary: cdf(x) is the cumulative distribution function, i.e. the area under the bell curve from −infinity to x. The x parameter is given in σ, the returned value is a percentile normalized to the interval [0,1]. cdf(x1)−cdf(x0) is the area under the interval (x0,x1]. 1−cdf(x) is the size of the xth percentile. %1−cdf(x) is the size of the smallest sample containing one specimen in the xth percentile. rnd(x) rounds x to the nearest integer.

Formulae evaluate from the right to the left, so a−b−c equals a−(b−c). _x is floor, x%y is divide, %x is reciprocal, {x} is a function returning x. See the Klong page for more information.

All probabilities are expressed as real numbers in the interval [0,1], e.g. 99.7% is written as 0.997.

  1. cdf(1)−cdf(−1)
  2. cdf(3)
  3. _7.3e9*1−cdf(3)
  4. _7.3e9*1−cdf(4)
  5. _%1−cdf(4)
  6. {cdf((x−100)%15)}'[85 100 115 130 145 160 175]
  7. cdf(0)
  8. 1−cdf(2)
  9. 1−cdf(3)
  10. 1−cdf(4)
  11. {rnd(%1−cdf(x))}'[2 3 4 5 6]
  12. _%1−cdf(8)
  13. cdf((144−100)%15)−cdf((116−100)%15)
  14. cdf((164−100)%15)−cdf((136−100)%15)
  15. _%cdf((164−100)%15)−cdf((136−100)%15)
  16. W::15;{cdf(((x+W−1)−100)%15)−cdf(((x−W−1)−100)%15)}'130+5*!13
  17. W::15;{rnd(%25cdf(((x+W−1)−100)%15)−cdf(((x−W−1)−100)%15))}'130+5*!13
  18. {2*rnd(%cdf(((x+19)−100)%15)−cdf(((x−19)−100)%15))}'[149 150 155]
  19. _(%1−cdf(3.33333))%%1−cdf(2)
  20. (%1−cdf(2))*cdf((164−100)%15)−cdf((136−100)%15)
  21. (%1−cdf(2))*cdf((174−100)%15)−cdf((146−100)%15)
  22. cdf((174−100)%15)−cdf((146−100)%15)
  23. rnd(0.5*10000*cdf((164−100)%15)−cdf((136−100)%15))
  24. rnd((%1−cdf(0.8))*0.5*10000*cdf((164−100)%15)−cdf((136−100)%15))

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