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I've written about this on another mathematics forum, but with no reply, so I was hoping I'd have better luck here.
Essentially I've found a way of constructing equations as diagrams, and I'd like to know what people think, because I unfortunately don't know enough mathematics to properly test it myself.
I start by drawing a line around some related variables and/or constants.
This allows multiple sets to overlap, in much the same way as a Venn diagram.
I then separate the contents with commutative elementary operations and horizontal lines of equivalence.
These lines allow the inverse operations to be represented at a glance as well, without the need for rearranging (not to be confused with division lines, though can function as such when the adjacent operation is multiplication).
It seems to work as well for functions like integration or differentiation, but with the choice of a primary function (both will be represented regardless, but the difference in notation makes one more apparent).
I've attached a key, along with two of my simplest examples of this system in practice.
Michael.
Essentially I've found a way of constructing equations as diagrams, and I'd like to know what people think, because I unfortunately don't know enough mathematics to properly test it myself.
I start by drawing a line around some related variables and/or constants.
This allows multiple sets to overlap, in much the same way as a Venn diagram.
I then separate the contents with commutative elementary operations and horizontal lines of equivalence.
These lines allow the inverse operations to be represented at a glance as well, without the need for rearranging (not to be confused with division lines, though can function as such when the adjacent operation is multiplication).
It seems to work as well for functions like integration or differentiation, but with the choice of a primary function (both will be represented regardless, but the difference in notation makes one more apparent).
I've attached a key, along with two of my simplest examples of this system in practice.
Michael.
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