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純粋・応用数学・数学隣接分野（含むガロア理論）20

PC,ｽﾏﾎ,PHSは ULA べっかんこ公式(ｽﾏﾎ) 公式(PC) で書き込んでください｡

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引用切替：ﾚｽｱﾝｶｰのみ

>>488
> >>487
> ID:+VmcCR0T は、御大か
> 巡回ありがとうございます
> 
> >S先生はバスの入り口で
> >「入口」を見て
> >What is this lambda Laplacian?
> >と尋ねられた。
> 
> Copilot に入れてみると
> Q: What is this lambda Laplacian?
> A:
> The Laplacian is a differential operator that plays a crucial role in mathematics and physics, particularly in areas like potential theory, differential equations, and quantum mechanics. It is often denoted as Δ or ∇² and is defined as the sum of second partial derivatives:
> [ \Delta f = \frac{\partial2} + \frac{\partial2} + \frac{\partial2} ]
> If you're referring to a lambda Laplacian, it could relate to eigenvalues of the Laplacian operator in spectral theory. The eigenvalue problem for the Laplacian is:
> [ \Delta f = \lambda f ]
> where λ represents an eigenvalue associated with the Laplacian. This arises in various contexts, such as solving the Helmholtz equation, studying heat diffusion, and analyzing vibrational modes.
> Would you like to explore its applications in functional analysis or spectral geometry?
> (引用終り)
> 
> なので、”λ represents an eigenvalue associated with the Laplacian”と 固有値の連想ゲームです
> バスの入り口に、Δ or ∇ が有ったのでしょうか？ （＾＾

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