Nomograms

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This is just sharing a few very interesting examples of nomograms that calculate various items such as BMI index, earthquake intensity, Bayesian statistics, and quadratic equations among other things.

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Nomograms

  1. 1. 1 Nomograms They are so old, they are back in style Gaetan Lion September 5th, 2013
  2. 2. 2 Introduction • Nomograms are graphs or tables that immediately calculate simple to complex equations. They often depict equations used in math, physics, medicine, and other sciences. • The way in which they depict information is unusually effective and sometimes even visually aesthetic.
  3. 3. 3 Starting out with straightforward nomograms
  4. 4. 4 Additions You can add any integer number (A + B) between -5 and +5 and the column in the middle gives you the solution.
  5. 5. 5 Multiplications Multiply any two numbers between 1 and 10, and the column in the middle gives you the solution.
  6. 6. 6 More complex nomograms
  7. 7. 7 Solving a quadratic equation It solves q^2 – ab + q = 0 a is on the horizontal axis b is on vertical axis q is on the circle
  8. 8. 8 Another quadratic equation Z = 5x + 10 y + 2xy
  9. 9. 9 Bayesian Statistics Calculating post-test probability given pre- test probability and Likelihood ratio.
  10. 10. 10 Richter Scale vs Amplitude Given the Richter scale level, the amplitude of the ground shaking in millimeters, and the distance from the epicenter, this nomogram calculates any of those variables given the other two.
  11. 11. 11 Richter Scale vs Amplitude Just a cleaner version of the same nomogram shown on the previous slide.
  12. 12. 12 An interesting physics function
  13. 13. 13 Other interesting nomograms…
  14. 14. 14 Given your height and weight in either the metric system or the US one, and it calculates your Body Mass Index in the middle column.
  15. 15. 15 Another interesting visual representation of the Body Mass Index that is represented on a curve. The green zone B is the normal BMI range between 20 and 25. The pink zone A is 20 and below which is below normal range. Yellow C is slightly above normal (> 25 < 27). Red D is overweight.
  16. 16. 16 A beautiful nomogram Unfortunately, resolution is not good enough to interpret it. But, many nomograms have similar aesthetic value.

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