From 24257b767bc09a0b67fbba2e51954514d0b13452 Mon Sep 17 00:00:00 2001
From: Rui Campos <mail@ruicampos.org>
Date: Thu, 21 Mar 2024 13:38:07 +0000
Subject: [PATCH] Update README.md

Signed-off-by: Rui Campos <mail@ruicampos.org>
---
 README.md | 7 ++++++-
 1 file changed, 6 insertions(+), 1 deletion(-)

diff --git a/README.md b/README.md
index 8ace235..b035e8d 100644
--- a/README.md
+++ b/README.md
@@ -4,8 +4,9 @@ Speak with a language model.
 
 ---
 
-## Cuda Kernel
+## Cuda Kernel of the Metric Tensor Attention
 
+### Determination of the analytic expression
 
 Let $P$ be a projection of a sequence $x$ of $c$ embeddings from $R^d$ onto $n$ spaces of dimension $k$, expressed in tensor notation by
 
@@ -73,6 +74,10 @@ Computation of the gradients is straightforward,
 $$ \partial_{\bar M^n _ {l}} q^{nul} _ {l} = \frac {q^{nul} _ {l}}{\bar M^n _ {l}} $$
 
 
+### Implementation details
+
+
+
 
 ----