From 234455d41d6c8ff7f61496872e8d7e4746b4a4ba Mon Sep 17 00:00:00 2001 From: NotXia <35894453+NotXia@users.noreply.github.com> Date: Sat, 14 Jun 2025 15:37:35 +0200 Subject: [PATCH] Typo --- .../sections/_formation_control.tex | 2 +- .../distributed-autonomous-systems/sections/_optimization.tex | 2 +- .../sections/_safety_controllers.tex | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/src/year2/distributed-autonomous-systems/sections/_formation_control.tex b/src/year2/distributed-autonomous-systems/sections/_formation_control.tex index 7783a55..19b5aa8 100644 --- a/src/year2/distributed-autonomous-systems/sections/_formation_control.tex +++ b/src/year2/distributed-autonomous-systems/sections/_formation_control.tex @@ -5,7 +5,7 @@ \begin{description} \item[Mass-spring system] \marginnote{Mass-spring system} - System of $N$ masses where each mass $i$ has a position $x_i \in \mathbb{R}$ and is connected through a sprint to mass $i-1$ and $i+1$. Each spring has an elastic constant $a_{j, i} = a_{i, j} > 0$. + System of $N$ masses where each mass $i$ has a position $x_i \in \mathbb{R}$ and is connected through a spring to mass $i-1$ and $i+1$. Each spring has an elastic constant $a_{j, i} = a_{i, j} > 0$. \begin{figure}[H] \centering diff --git a/src/year2/distributed-autonomous-systems/sections/_optimization.tex b/src/year2/distributed-autonomous-systems/sections/_optimization.tex index 4311e5a..e4371e4 100644 --- a/src/year2/distributed-autonomous-systems/sections/_optimization.tex +++ b/src/year2/distributed-autonomous-systems/sections/_optimization.tex @@ -611,7 +611,7 @@ \begin{description} \item[Distributed gradient algorithm] \marginnote{Distributed gradient algorithm} - Method that estimates a (more precise) set of parameters as a weighted sum those of its neighbors' (self-loop included): + Method that estimates a (more precise) set of parameters as a weighted sum of those of its neighbors' (self-loop included): \[ \vec{v}_i^{k+1} = \sum_{j \in \mathcal{N}_i} a_{ij} \z_j^k \] diff --git a/src/year2/distributed-autonomous-systems/sections/_safety_controllers.tex b/src/year2/distributed-autonomous-systems/sections/_safety_controllers.tex index 93838a7..cee8312 100644 --- a/src/year2/distributed-autonomous-systems/sections/_safety_controllers.tex +++ b/src/year2/distributed-autonomous-systems/sections/_safety_controllers.tex @@ -9,7 +9,7 @@ \] with $\x(t) \in \mathbb{R}^n$, $\u(t) \in U \subseteq \mathbb{R}^m$, $f(\x(t)) \in \mathbb{R}^n$, and $g(\x(t)) \in \mathbb{R}^{n \times m}$. - $f(\x(t))$ can be seen as the drift of the system and $\u(t)$ a coefficient that controls how much $g(\x(t))$ is injected into $f(\x(t))$. + $f(\x(t))$ can be seen as the drift of the system and $\u(t)$ as a coefficient that controls how much $g(\x(t))$ is injected into $f(\x(t))$. The overall system can be interpreted as composed of: \begin{itemize}