feat(research): add operation syntax idea

journal/week1.typ

@@ -13,3 +13,7 @@
 - Kickoff meeting with Prof. Racordon
 - Setup repositories
 - Start experimenting with syntax ideas
+
+
+#day(3)
+- Research syntax prototype

research/01_syntax.md

@@ -175,3 +175,25 @@ type GeoCoordinates<Latitude, Longitude>{
     lon Longitude
 }
 ```
+
+## Operations
+
+### Custom syntax - without Python constructs
+
+```python
+type Latitude<float>
+type Longitude<float>
+type LatitudeDiff<float>
+type LongitudeDiff<float>
+type Distance<float>
+
+op <Latitude> - <Latitude> = <LatitudeDiff>
+op <Longitude> - <Longitude> = <LongitudeDiff>
+
+op <LatitudeDiff> + <LatitudeDiff> = <LatitudeDiff>
+op <LongitudeDiff> + <LongitudeDiff> = <LongitudeDiff>
+op <LatitudeDiff> - <LatitudeDiff> = <LatitudeDiff>
+op <LongitudeDiff> - <LongitudeDiff> = <LongitudeDiff>
+
+op <GeoCoordinates>.distance(<GeoCoordinates>) = <Distance>
+```