Below is a phrase from chapter 1 of the book: Introduction to Algorithms.

I do not understand the usage of the verb run in the last line of:

For many years, we could count on processor clock speeds increasing at a steady rate. Physical limitations present a fundamental roadblock to ever-increasing clock speeds, however: because power density increases superlinearly with clock speed, chips run the risk of melting once their clock speeds become high enough.

  • What research have you done? For example, have you looked in a dictionary?
    – BillJ
    Commented Dec 20, 2023 at 12:26
  • 2
    Identification of an idiom is difficult and they aren't easily pulled from a dictionary.
    – mcalex
    Commented Dec 21, 2023 at 2:22

1 Answer 1


"run the risk" is an idiom. It means to do something risky. See Cambridge *run the risk of doing something

It means that if you increase clock speeds, it is risky, because the chip might melt.

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