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Diffstat (limited to 'latex/know/concept/legendre-transform/source.md')
| -rw-r--r-- | latex/know/concept/legendre-transform/source.md | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/latex/know/concept/legendre-transform/source.md b/latex/know/concept/legendre-transform/source.md index 954b6fc..20afdf7 100644 --- a/latex/know/concept/legendre-transform/source.md +++ b/latex/know/concept/legendre-transform/source.md @@ -5,9 +5,9 @@ The **Legendre transform** of a function $f(x)$ is a new function $L(f')$, which depends only on the derivative $f'(x)$ of $f(x)$, and from which -the original function $f(x)$ can be reconstructed. The point is, just -like other transforms (e.g. Fourier), that $L(f')$ contains the same -information as $f(x)$, just in a different form. +the original function $f(x)$ can be reconstructed. The point is, +analogously to other transforms (e.g. [Fourier](/know/concept/fourier-transform/)), +that $L(f')$ contains the same information as $f(x)$, just in a different form. Let us choose an arbitrary point $x_0 \in [a, b]$ in the domain of $f(x)$. Consider a line $y(x)$ tangent to $f(x)$ at $x = x_0$, which has |