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u/Expert-Storm-7332

Image 1 — Can this recursive form of polynomial equation modify for Trimul?
Image 2 — Can this recursive form of polynomial equation modify for Trimul?
▲ 3 r/askmath

Can this recursive form of polynomial equation modify for Trimul?

Polynomial part:

The elementary symmetric polynomials \(e_k(x_1, \dots, x_n)\) can be defined recursively by splitting the variables: \(e_k(x_1, \dots, x_n) = e_k(x_1, \dots, x_{n-1}) + x_n e_{k-1}(x_1, \dots, x_{n-1})\) for \(1 < k < n\)

I try to figure out does it possible to apply recursive on elementry polynomial for triangle multiication. But It come out with leave one out variable method during power sum which not quite the same as trimul, they have the enumerate on sum of k in clear path like ik and jk. Do you think I can modify this elementry polynomial for trimul?

u/Expert-Storm-7332 — 10 days ago
▲ 0 r/SeriousConversation

I feel a bit strange and slightly worried. It’s like we’re using AI to solve problems, and sometimes that makes me feel not ease.

For example, with tasks that require problem-solving, I came across something that come into my mind.

Said that dogs have developed larger prefrontal brains to communicate socially with humans, which helps them solve problems differently. For example:

Wolves → figure out how to hunt → get food (reward)

Dogs → go ask humans for food → get food (reward)

So, domestic dogs may not be as good at problem-solving as wolves, because they’ve evolved alongside humans.

So hypothetically, if AI becomes like something that solves problems on behalf of humans… what should we do?

Do you agree or disagree with my statement?

But honestly, AI nowadays is not perfect compared to human thinking. It can still make mistakes even on simple tasks. Sometimes when humans ask it to do something, the result doesn’t relate what we actually want. It can overlook important details, and humans still need to step in to correct it.

(Sorry for grammar error in title.)

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u/Expert-Storm-7332 — 21 days ago