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Ask HN: How do think about hierarchies in terms of vectors, dimensions?
I'm not a mathematician so this is not rigorous by any stretch.
so too me a dimension is a the same as a datatype which is the same as a feature. a point is a record which is an object. a space is all the possibility unconstrained in multiple dimensions. a projection is an object along less dimensions. which is also an abstraction. so how do hierarchies fit into it? a lot of structured data seems to be in hierarchies and graphs. Languages, paths, folders, etc. is there an intuitive way to think about graphs and hierarchies and spaces?
- optimax 9y agoAll your examples are describing various aspects of the space itself, i.e. all objects that you listed are just different collections of points/records/objects. A hierarchy, or a graph in general, is different in that, in addition to describing a set of nodes/objects/records/points, it additionally describes relationships among these things. So a hierarchy (graph) is two sets: points (objects/etc), and edges (relationships) among the points.