diff --git a/content/blog/2023-11-23-pid.md b/content/blog/2023-11-23-pid.md new file mode 100644 index 0000000..683c7cb --- /dev/null +++ b/content/blog/2023-11-23-pid.md @@ -0,0 +1,54 @@ +--- +title: PID +description: Getting from here to there +date: 2023-11-23 +tags: + - math +draft: true +extra: + auto_center_images: true + excerpt: A post about PID controllers + uses: + - mermaid +aliases: + - /blog/pid +--- + + +We are here. + + + +And we want to go there. + + + +## Figuring out how to get there + +The first step in getting from *here* to *there* is knowing where *there* *isn't*. + +I suppose a good place to start is checking to see if *here* and *there* are in fact the same place. + +Are we there? + + + +*Nope.* + +Well, let's say we want to go *there* from *here* (because we do).. Which way do we have to go? + + + +I think we can do that. How far will we have to travel? + + + +Great! + +## Getting there + +So, we know where we are, we know where we aren't, and we know the distance and direction we'll have to travel. What's next? + +Unfortunately, as the answer tends to be, physics is next. + +We can't exactly just *go* there. We have to *get* there. And that means we have to spend some time 'twixt *here* and *there*. diff --git a/content/blog/2023-11-24-tank-tracks.md b/content/blog/2023-11-24-tank-tracks.md new file mode 100644 index 0000000..dcb9e8a --- /dev/null +++ b/content/blog/2023-11-24-tank-tracks.md @@ -0,0 +1,25 @@ +--- +title: Tank Tracks +description: +date: 2023-11-24 +tags: + - math +draft: true +extra: + auto_center_images: true + excerpt: A post about the math behind tank tracks + uses: + - mermaid +aliases: + - /blog/tank-tracks +--- + +$$ + f(\vec{v}) = + \vec{v} + + \begin{bmatrix} + 0 & 1 \\\\ + -1 & 0 + \end{bmatrix} + \vec{v} +$$ diff --git a/static/images/posts/pid/are_we_there.svg b/static/images/posts/pid/are_we_there.svg new file mode 100644 index 0000000..446be9b --- /dev/null +++ b/static/images/posts/pid/are_we_there.svg @@ -0,0 +1,96 @@ + + + + + + + + + + + Here + + + + There + + + + Here? + + diff --git a/static/images/posts/pid/here.svg b/static/images/posts/pid/here.svg new file mode 100644 index 0000000..9b186d9 --- /dev/null +++ b/static/images/posts/pid/here.svg @@ -0,0 +1,53 @@ + + + + + + + + + Here + + diff --git a/static/images/posts/pid/here_there.svg b/static/images/posts/pid/here_there.svg new file mode 100644 index 0000000..453e33c --- /dev/null +++ b/static/images/posts/pid/here_there.svg @@ -0,0 +1,76 @@ + + + + + + + + + + Here + + + + There + + + diff --git a/static/images/posts/pid/how_far.svg b/static/images/posts/pid/how_far.svg new file mode 100644 index 0000000..522c463 --- /dev/null +++ b/static/images/posts/pid/how_far.svg @@ -0,0 +1,114 @@ + + + + + + + + + + + + + Here + + + + There + + + + About This Far + + diff --git a/static/images/posts/pid/this_way.svg b/static/images/posts/pid/this_way.svg new file mode 100644 index 0000000..04e0cb7 --- /dev/null +++ b/static/images/posts/pid/this_way.svg @@ -0,0 +1,135 @@ + + + + + + + + + + + + + Here + + + + There + + + + + + + This Way + +