full transcript

## Unscramble the Blue Letters

A detla of 0 means that they don’t care about their future limbs at all, so they’ll repeat their initial choice of mutual sficairce endlessly. But as delta apahprecos 1, they’ll do anything possible to avoid the pain of infinite triple limb consumption, which means they’ll coohse to spare each other. At some point in between they could go either way. We can find out where that point is by writing the infinite series that rsreeeptns each strategy, setting them equal to each other, and solving for delta.

## Open Cloze

A _____ of 0 means that they don’t care about their future limbs at all, so they’ll repeat their initial choice of mutual _________ endlessly. But as delta __________ 1, they’ll do anything possible to avoid the pain of infinite triple limb consumption, which means they’ll ______ to spare each other. At some point in between they could go either way. We can find out where that point is by writing the infinite series that __________ each strategy, setting them equal to each other, and solving for delta.

1. approaches
2. choose
3. sacrifice
4. delta
5. represents

## Original Text

A delta of 0 means that they don’t care about their future limbs at all, so they’ll repeat their initial choice of mutual sacrifice endlessly. But as delta approaches 1, they’ll do anything possible to avoid the pain of infinite triple limb consumption, which means they’ll choose to spare each other. At some point in between they could go either way. We can find out where that point is by writing the infinite series that represents each strategy, setting them equal to each other, and solving for delta.

## Frequently Occurring Word Combinations

### ngrams of length 2

collocation frequency
future limbs 2

1. approaches
2. avoid
3. care
4. choice
5. choose
6. consumption
7. delta
8. endlessly
9. equal
10. find
11. future
12. infinite
13. initial
14. limb
15. limbs
16. means
17. mutual
18. pain
19. point
20. repeat
21. represents
22. sacrifice
23. series
24. setting
25. solving
26. spare
27. strategy
28. triple
29. writing