One of the uses is the representation of full lists of equations, laws or identities and all of their possible rearrangements. This can sometimes mean using less space and ink.
This attached image below for example will give you most of the exponent laws and logarithmic identities.
I've also...
Ohm's triangle above takes up more space and ink than just writing the = symbol, but its form makes it easier to work with and remember, so it's used as a teaching aid for visual learners. I would argue that the limitation of the subclass it belongs to is one of the biggest reasons the diagram...
This method is roughly equivalent to written equations. The advantage is in being a more visually explicit representation. An advantage that's clearly exploitable, otherwise there wouldn't be a limited version of this in use today. A version that I believe has only been limited, because until...
Whovian I've only just noticed your edit. I'm not certain because as I said I don't feel that I know enough to fully test this. But it appears to be no more difficult to do calculus in this new representation than it is to do so in the conventional way: reason being that the laws and identities...
So do you think this has the same potential as the subclass of triangle diagrams AlephZero pointed out? Bearing in mind that it can express a wider range of equations.
Not always, because as others have said, you can maintain the information if you make sure the multiple of one of the variables is the same in both equations before you make them equal.
I think you're asking if there's a logical rule that prevents you from finding x or y by making the two equations equal when they both equal zero.
And I don't think there is. To elaborate on what Whovian and AlephZero have said, the trick in this case is to multiply one of the equations by a...
I've actually found many equations to be far less confusing and much easier for me to remember when they're written in this form, so I'm guessing that either some people will find this more useful than others, or the usefulness could depend on how familiar someone is with the method.
If you're...
I'm thankful for the reply even though it wasn't one I was expecting, since it explains why I've been having trouble finding out what people think of this.
I'll do my best to explain how the diagrams work.
Firstly, the shapes aren't describing areas, but creating distinct sets for variables...
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...