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diff --git a/build/website/index.html b/build/website/index.html index bd9e157..60aa369 100644 --- a/build/website/index.html +++ b/build/website/index.html @@ -62,13 +62,13 @@ Preston Pan <p>Here, you will find topics related to: </p> <ul> <li><a href="./about/">About</a> -- About me and this website.</li> + <li><a href="./mathematics/">Mathematics</a> -- An underlying framework for all things that are logical.</li> + <li><a href="./music/">Music</a> -- my piano playing and singing (and maybe other instruments too).</li> <li><a href="./physics/">Physics</a> -- Rates of change!</li> <li><a href="./economics/">Economics</a> -- Rates of exchange!</li> <li><a href="./technology/">Technology</a> -- Rates of finger pain! (Just kidding, I'm not an emacs user).</li> <li><a href="./projects/">Projects</a> -- programming and other projects.</li> - <li><a href="./mathematics/">Mathematics</a> -- An underlying framework for all things that are logical.</li> <li><a href="./philosophy/">Philosophy</a> -- An underlying framework for all things that are.</li> - <li><a href="./music/">Music</a> -- my piano playing and singing (and maybe other instruments too).</li> </ul> <p>Many articles will be written in groff and compiled to pdf.</p> @@ -79,7 +79,7 @@ Preston Pan <ul> <li><a href="https://git.prestonpan.tech/prestonpan.git/atom">rss feed</a> -- atom feed for the website commit page to keep you updated on changes.</li> <li><a href="https://fedi.andrei.website/u/LiCoO2/rss">rss feed (2)</a> -- rss feed for my honk account, a fediverse server.</li> - <li><a href="https://radio.prestonpan.tech">Radio</a> -- listen to music that I also listen to.</li> + <li><a href="https://radio.nullring.xyz">Radio</a> -- listen to music that Null Identity people have composed.</li> <li><a href="gopher://prestonpan.tech">Gopherhole</a> -- logs for andrei.website and other cool stuff, must be viewed with a gopher client.</li> <li><a href="https://git.prestonpan.tech">Git server</a> -- see the code that I write or my dotfiles and other stuff.</li> <li><a href="https://nullring.xyz">The null webring</a> -- a webring that I made (apparently there is another one by this name but ignore that).</li> @@ -91,7 +91,7 @@ Preston Pan <p>This website is a part of the following webrings:</p> <h3>The Null Webring</h3> -<p><a href="https://kaistevenson.com">prev</a> <a href="https://nullring.xyz">Nullring</a> <a href="https://www.aberrantflux.xyz">next</a></p> +<p><a href="https://kaistevenson.com">prev</a> <a href="https://nullring.xyz">Nullring</a> <a href="https://pen15.agency">next</a></p> <h2>Donating</h2> <p> diff --git a/build/website/mathematics/linear_algebra/source/introduction.ms b/build/website/mathematics/linear_algebra/source/introduction.ms index 106ffec..6b69a41 100644 --- a/build/website/mathematics/linear_algebra/source/introduction.ms +++ b/build/website/mathematics/linear_algebra/source/introduction.ms @@ -45,7 +45,8 @@ coord x 0, 11 y 0, 11 Now, let's imagine that this point $(3, 2)$ represents a force in a certain direction. For example, we can draw a line from the origin to this point and the resulting force's magnitude will be represented by the length of the line in question (which can be obtained -via the pythagorean theorem). +via the pythagorean theorem), and the direction of the force will be outwards from the origin +following the line. .G1 draw solid @@ -55,3 +56,16 @@ coord x 0, 11 y 0, 11 "(3, 2)" above at 3,2 "$sqrt {3 sup 2 + 2 sup 2}$" above at 1,2 .G2 + +.PP +We can now imagine another line segment drawn from the origin $(-1, 3)$, which we can imagine +to be another force acting in a different direction with a different magnitude: + +.G1 +draw solid +coord x -10, 10 y -10, 10 +0 0 +3 2 +-1 3 +"(3, 2)" above at 3,2 +.G2 diff --git a/build/website/mathematics/linear_algebra/source/introduction.pdf b/build/website/mathematics/linear_algebra/source/introduction.pdf Binary files differindex b74d28a..563569a 100644 --- a/build/website/mathematics/linear_algebra/source/introduction.pdf +++ b/build/website/mathematics/linear_algebra/source/introduction.pdf diff --git a/website/index.html b/website/index.html index e483ac9..84a3a57 100644 --- a/website/index.html +++ b/website/index.html @@ -42,13 +42,13 @@ $$START CONTENT <p>Here, you will find topics related to: </p> <ul> <li><a href="./about/">About</a> -- About me and this website.</li> + <li><a href="./mathematics/">Mathematics</a> -- An underlying framework for all things that are logical.</li> + <li><a href="./music/">Music</a> -- my piano playing and singing (and maybe other instruments too).</li> <li><a href="./physics/">Physics</a> -- Rates of change!</li> <li><a href="./economics/">Economics</a> -- Rates of exchange!</li> <li><a href="./technology/">Technology</a> -- Rates of finger pain! (Just kidding, I'm not an emacs user).</li> <li><a href="./projects/">Projects</a> -- programming and other projects.</li> - <li><a href="./mathematics/">Mathematics</a> -- An underlying framework for all things that are logical.</li> <li><a href="./philosophy/">Philosophy</a> -- An underlying framework for all things that are.</li> - <li><a href="./music/">Music</a> -- my piano playing and singing (and maybe other instruments too).</li> </ul> <p>Many articles will be written in groff and compiled to pdf.</p> @@ -59,7 +59,7 @@ $$START CONTENT <ul> <li><a href="https://git.prestonpan.tech/prestonpan.git/atom">rss feed</a> -- atom feed for the website commit page to keep you updated on changes.</li> <li><a href="https://fedi.andrei.website/u/LiCoO2/rss">rss feed (2)</a> -- rss feed for my honk account, a fediverse server.</li> - <li><a href="https://radio.prestonpan.tech">Radio</a> -- listen to music that I also listen to.</li> + <li><a href="https://radio.nullring.xyz">Radio</a> -- listen to music that Null Identity people have composed.</li> <li><a href="gopher://prestonpan.tech">Gopherhole</a> -- logs for andrei.website and other cool stuff, must be viewed with a gopher client.</li> <li><a href="https://git.prestonpan.tech">Git server</a> -- see the code that I write or my dotfiles and other stuff.</li> <li><a href="https://nullring.xyz">The null webring</a> -- a webring that I made (apparently there is another one by this name but ignore that).</li> @@ -71,7 +71,7 @@ $$START CONTENT <p>This website is a part of the following webrings:</p> <h3>The Null Webring</h3> -<p><a href="https://kaistevenson.com">prev</a> <a href="https://nullring.xyz">Nullring</a> <a href="https://www.aberrantflux.xyz">next</a></p> +<p><a href="https://kaistevenson.com">prev</a> <a href="https://nullring.xyz">Nullring</a> <a href="https://pen15.agency">next</a></p> <h2>Donating</h2> <p> diff --git a/website/mathematics/linear_algebra/source/introduction.ms b/website/mathematics/linear_algebra/source/introduction.ms index 106ffec..6b69a41 100644 --- a/website/mathematics/linear_algebra/source/introduction.ms +++ b/website/mathematics/linear_algebra/source/introduction.ms @@ -45,7 +45,8 @@ coord x 0, 11 y 0, 11 Now, let's imagine that this point $(3, 2)$ represents a force in a certain direction. For example, we can draw a line from the origin to this point and the resulting force's magnitude will be represented by the length of the line in question (which can be obtained -via the pythagorean theorem). +via the pythagorean theorem), and the direction of the force will be outwards from the origin +following the line. .G1 draw solid @@ -55,3 +56,16 @@ coord x 0, 11 y 0, 11 "(3, 2)" above at 3,2 "$sqrt {3 sup 2 + 2 sup 2}$" above at 1,2 .G2 + +.PP +We can now imagine another line segment drawn from the origin $(-1, 3)$, which we can imagine +to be another force acting in a different direction with a different magnitude: + +.G1 +draw solid +coord x -10, 10 y -10, 10 +0 0 +3 2 +-1 3 +"(3, 2)" above at 3,2 +.G2 diff --git a/website/mathematics/linear_algebra/source/introduction.pdf b/website/mathematics/linear_algebra/source/introduction.pdf Binary files differindex b74d28a..563569a 100644 --- a/website/mathematics/linear_algebra/source/introduction.pdf +++ b/website/mathematics/linear_algebra/source/introduction.pdf |