Also... One of the more dangerous things that can happen with Claude is this: it goes to implement your K means clustering (or whatever) and runs into difficult

Also... One of the more dangerous things that can happen with Claude is this: it goes to implement your K means clustering (or whatever) and runs into difficulties, and actually builds something else, but calls it K-means, or slips it by you in a long conversation ("This is getting complicated, so I'll just..."). And it's only if you actually know the algorithm and review what it did that you can be confident in really publishing the work it produced into the public sphere.