From 83d896611e04441bda1f0f0dc6a3bf4e8d056e6d Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Fabiana=20=F0=9F=9A=80=20=20Campanari?= <113218619+FabianaCampanari@users.noreply.github.com> Date: Fri, 10 Jan 2025 20:55:30 -0300 Subject: [PATCH] Update README.md MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Signed-off-by: Fabiana 🚀 Campanari <113218619+FabianaCampanari@users.noreply.github.com> --- README.md | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 7ab7560..5e30dbe 100644 --- a/README.md +++ b/README.md @@ -38,10 +38,12 @@ Feel free to explore, contribute, and share your insights! ────────────── * Developed the mathematical framework for the Fourier Transform, which is foundational in quantum mechanics and quantum computing. - **Formula for Fourier Transform:** + **Formula for Fourier Transform:** + $$\hat{f}(k) = \int_{-\infty}^{\infty} f(x) \, e^{-2\pi i k x} \, dx$$ - **Formula for Inverse Fourier Transform:** + **Formula for Inverse Fourier Transform:** + $$f(x) = \int_{-\infty}^{\infty} \hat{f}(k) \, e^{2\pi i k x} \, dk$$ Where: