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How to Find a Spouse A Problem in Discrete Mathematics With an Assist From Calculus

How to Find a Spouse A Problem in Discrete Mathematics With an Assist From Calculus. The Rules of the Game. It is generally considered bad form to date seriously two different people simultaneously , so you consider each person one at a time. You can date someone for any

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How to Find a Spouse A Problem in Discrete Mathematics With an Assist From Calculus

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  1. How to Find a SpouseA Problem in Discrete MathematicsWith an Assist From Calculus

  2. The Rules of the Game • It is generally considered bad form to date seriously two different people simultaneously, so you consider each person one at a time. • You can date someone for any length of time, but eventually, you must either “select” them or say “no” and move on to another candidate. • Once someone has been passed over, you cannot go back. No is forever. If there are N candidates, how can you maximize the probability that you select your best match?

  3. Alternative Interpretations • Choosing largest number in a pile • Hitting a slow-pitch softball What’s a good strategy?

  4. The “Take the First Pitch” Strategy

  5. Fix N

  6. A Mathematical Model

  7. Our Probability Function

  8. Can Calculus Help?

  9. Calculator Program

  10. But, Calculus Can Help

  11. Differentiable Approximation

  12. Define a Continuous Variable

  13. What is Our Probability of Success?

  14. The Moral?

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