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Chebucto Regional Softball Club

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  3. Today I completed my planning for my summer course for math teachers "Computer Science for Math Teachers"
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Today I completed my planning for my summer course for math teachers "Computer Science for Math Teachers"

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  • Luci ScissorsB Luci Scissors

    @futurebird it refers to it as “analysis”, it has special specific UI in which you can examine the python program and its output, and optionally download it to run on your own machine- a little like how it presents ui for other external services like image search results, image generation, image description- the llm itself doesn’t do those things but makes it seem like it is

    sabikS This user is from outside of this forum
    sabikS This user is from outside of this forum
    sabik
    wrote last edited by
    #18

    @bri_seven @futurebird
    Presumably constraining the LLM output to valid python programs at the sampling stage, potentially giving a misleading impression about its capability

    myrmepropagandistF 1 Reply Last reply
    0
    • myrmepropagandistF myrmepropagandist

      I think one ought to be able to bounce in and out of both ways of seeing the problem seamlessly.

      Use brute force to verify your theory. Use theory to make better brute force.

      E This user is from outside of this forum
      E This user is from outside of this forum
      Matt Panaro
      wrote last edited by
      #19

      @futurebird one thing I've always appreciated in the intersection between coding and computer-science/mathematics is, when you can use a naïve approach initially, to get answers fast; but then have to switch to a more sophisticated algorithm to have any hope of scaling. I'll see if I can come up with some specific examples…

      Greg EganG 1 Reply Last reply
      0
      • E Matt Panaro

        @futurebird one thing I've always appreciated in the intersection between coding and computer-science/mathematics is, when you can use a naïve approach initially, to get answers fast; but then have to switch to a more sophisticated algorithm to have any hope of scaling. I'll see if I can come up with some specific examples…

        Greg EganG This user is from outside of this forum
        Greg EganG This user is from outside of this forum
        Greg Egan
        wrote last edited by
        #20

        @eigen @futurebird

        Back in the day when computers were rare, if I had to show people who were completely new to coding one simple thing you could program super-easily if you weren’t too worried about efficiency, and then refine to get better scaling, I always took them through a few versions of listing the prime numbers up to N.

        myrmepropagandistF 1 Reply Last reply
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        • sabikS sabik

          @bri_seven @futurebird
          Presumably constraining the LLM output to valid python programs at the sampling stage, potentially giving a misleading impression about its capability

          myrmepropagandistF This user is from outside of this forum
          myrmepropagandistF This user is from outside of this forum
          myrmepropagandist
          wrote last edited by
          #21

          @sabik @bri_seven

          A LLM isn't a complier, and unless it has additional special case handling it cannot tell if a python program is valid enough to run.

          It can just guess if it looks like programs people in the training text have said were valid and will run.

          And perhaps you were aware of this but it's exactly the misconception I keep bumping into with what people ask LLMs to do.

          sabikS 1 Reply Last reply
          0
          • Greg EganG Greg Egan

            @eigen @futurebird

            Back in the day when computers were rare, if I had to show people who were completely new to coding one simple thing you could program super-easily if you weren’t too worried about efficiency, and then refine to get better scaling, I always took them through a few versions of listing the prime numbers up to N.

            myrmepropagandistF This user is from outside of this forum
            myrmepropagandistF This user is from outside of this forum
            myrmepropagandist
            wrote last edited by futurebird@sauropods.win
            #22

            @gregeganSF @eigen

            This activity is much more rewarding if you aren't also teaching what prime number even is at the same time. Though, that's sort of what I've been developing with the fifth graders. Learning about concepts like prime numbers through programming. It's very different from what I'll be doing with the math teachers in the summer.

            For the math teachers the prime numbers are a safe anchor they understand and the code is the new thing. For the kids it's all new.

            myrmepropagandistF Barry GoldmanB 2 Replies Last reply
            0
            • myrmepropagandistF myrmepropagandist

              Example: "How many three-digit integers contain at least one 2?"

              Elegant permutation solution:

              9*10*10 - 8*9*9 = 252

              It's also fun to write a program:

              three_digit=[]
              for i in range(100,1000):
              if "2" in str(i):
              three_digit.append(i)
              print(len(three_digit))

              It's a less trivial problem if you make it: "How many three-digit EVEN integers contain at lest one 2?"

              (but it's still trivial in code. Just add "and i%2==0")

              Barry GoldmanB This user is from outside of this forum
              Barry GoldmanB This user is from outside of this forum
              Barry Goldman
              wrote last edited by
              #23

              @futurebird
              len([n for n in range(100,1000) if '2' in str(n)]

              this is why python scares me and shouldn't be used for intro programming.

              1 Reply Last reply
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              • myrmepropagandistF myrmepropagandist

                @gregeganSF @eigen

                This activity is much more rewarding if you aren't also teaching what prime number even is at the same time. Though, that's sort of what I've been developing with the fifth graders. Learning about concepts like prime numbers through programming. It's very different from what I'll be doing with the math teachers in the summer.

                For the math teachers the prime numbers are a safe anchor they understand and the code is the new thing. For the kids it's all new.

                myrmepropagandistF This user is from outside of this forum
                myrmepropagandistF This user is from outside of this forum
                myrmepropagandist
                wrote last edited by
                #24

                @gregeganSF @eigen

                "That number, 19, is a prim. You can only factor it as 1 times itself."
                "Don't you mean it's a prime?"
                "No, it's prim, just not comfortable with any other factors but itself and 1. And there's nothing wrong with that as long as it doesn't look down on other numbers for having so many factorizations."

                19: "30 is such a ho. Disgusting."

                "wow... so much for that."

                1 Reply Last reply
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                • myrmepropagandistF myrmepropagandist

                  @gregeganSF @eigen

                  This activity is much more rewarding if you aren't also teaching what prime number even is at the same time. Though, that's sort of what I've been developing with the fifth graders. Learning about concepts like prime numbers through programming. It's very different from what I'll be doing with the math teachers in the summer.

                  For the math teachers the prime numbers are a safe anchor they understand and the code is the new thing. For the kids it's all new.

                  Barry GoldmanB This user is from outside of this forum
                  Barry GoldmanB This user is from outside of this forum
                  Barry Goldman
                  wrote last edited by
                  #25

                  @futurebird @gregeganSF @eigen teaching kids about primes is cool cuz you can show them simple to understand puzzles that mathematicians still haven't solved after 100s of years.

                  1 Reply Last reply
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                  • myrmepropagandistF myrmepropagandist

                    @sabik @bri_seven

                    A LLM isn't a complier, and unless it has additional special case handling it cannot tell if a python program is valid enough to run.

                    It can just guess if it looks like programs people in the training text have said were valid and will run.

                    And perhaps you were aware of this but it's exactly the misconception I keep bumping into with what people ask LLMs to do.

                    sabikS This user is from outside of this forum
                    sabikS This user is from outside of this forum
                    sabik
                    wrote last edited by
                    #26

                    @futurebird @bri_seven
                    Exactly — they can bolt a thing to the output part of an LLM to force it to only output valid python programs, but it doesn't make the LLM any smarter; it just forces it to output valid python programs

                    Alec PerkinsA 1 Reply Last reply
                    0
                    • sabikS sabik

                      @futurebird @bri_seven
                      Exactly — they can bolt a thing to the output part of an LLM to force it to only output valid python programs, but it doesn't make the LLM any smarter; it just forces it to output valid python programs

                      Alec PerkinsA This user is from outside of this forum
                      Alec PerkinsA This user is from outside of this forum
                      Alec Perkins
                      wrote last edited by
                      #27

                      @sabik @futurebird @bri_seven this is exactly what they do, and it’s surprisingly effective because of the feedback loop. Unlike the pure LLM output, it’s now closer to classic evolutionary design with a generative component plus a fitness component, and can iterate until it produces a working program. Of course this assumes the test is described correctly, and it only works for programs that can be tested that way, but when it works it’s impressive.

                      myrmepropagandistF 1 Reply Last reply
                      0
                      • Alec PerkinsA Alec Perkins

                        @sabik @futurebird @bri_seven this is exactly what they do, and it’s surprisingly effective because of the feedback loop. Unlike the pure LLM output, it’s now closer to classic evolutionary design with a generative component plus a fitness component, and can iterate until it produces a working program. Of course this assumes the test is described correctly, and it only works for programs that can be tested that way, but when it works it’s impressive.

                        myrmepropagandistF This user is from outside of this forum
                        myrmepropagandistF This user is from outside of this forum
                        myrmepropagandist
                        wrote last edited by
                        #28

                        @alec @sabik @bri_seven

                        That's interesting. I do wonder if a person who can precisely describe what program they want would need this help as much? I mean, I sometimes look up things like sorting algorithms or ways to do something that I know can be done faster than whatever I coded... and a LLM kind of does that for you and formats it a bit. Or do you think it's doing more than that with this process?

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