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@ -13,8 +13,7 @@
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xmlns:svg="http://www.w3.org/2000/svg"
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xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
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xmlns:cc="http://creativecommons.org/ns#"
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xmlns:dc="http://purl.org/dc/elements/1.1/"
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xmlns:ns="&ns_ai;">
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xmlns:dc="http://purl.org/dc/elements/1.1/">
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<metadata
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id="metadata2853">
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<rdf:RDF>
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@ -52,7 +51,6 @@
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inkscape:pagecheckerboard="0"
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inkscape:deskcolor="#d1d1d1" />
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<g
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ns:extraneous="self"
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id="g2845"
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transform="matrix(0.80243696,0,0,0.80243696,57.182648,9.227506)">
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<circle
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Before Width: | Height: | Size: 5.6 KiB After Width: | Height: | Size: 5.6 KiB |
@ -336,7 +336,7 @@ https://faculty.uml.edu/klevasseur/ads/s-monoid-of-fsm.html
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Groups/monoids categorically
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===
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We began by defining a monoid as a set of composable *elements*. Then we saw that for some groups, like the groups of symmetries and rotations, those elements can be viewed as *actions*. And this is actually true for all other groups as well, e.g. the *red ball* in our color-blending monoid can be seen as the action of *adding the color red$ to the mix, the number $2$ in the monoid of addition can be seen as the operation $+2$ etc. This observation leads to a categorical view of the theory of groups and monoids.
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We began by defining a monoid as a set of composable *elements*. Then we saw that for some groups, like the groups of symmetries and rotations, those elements can be viewed as *actions*. And this is actually true for all other groups as well, e.g. the *red ball* in our color-blending monoid can be seen as the action of *adding the color red* to the mix, the number $2$ in the monoid of addition can be seen as the operation $+2$ etc. This observation leads to a categorical view of the theory of groups and monoids.
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Currying
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---
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