純粋・応用数学・数学隣接分野（含むガロア理論）20

[過去ﾛｸﾞ] 純粋・応用数学・数学隣接分野（含むガロア理論）20 (1002ﾚｽ)
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488: 現代数学の系譜 雑談 ◆yH25M02vWFhP  [] 2025/06/09(月) 07:36:21.87 ID:u17nGVrx

>>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？ （＾＾

http://rio2016.5ch.net/test/read.cgi/math/1745503590/488

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