In this post, we continue the discussion from a previous post about the existence of a suitable sine angle product identity.
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Tag: Studies
It seems natural to try to generalize the group ring construction to algebraic structures other than groups and rings. We do so here.
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Removing Proper Classes via Universal Sets
Can we avoid ever needing to mention proper classes in math by restricting to subsets of a universal working set?
Let 
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Rings as Modules Over Themselves
In this note, we address some questions I had concerning rings when viewed as modules over themselves.
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Constructing Compatible Operations 2
In this post, we continue the discussion from the previous in the series.
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An Abstract Approach to Generating Sets 4
In this post, we continue our discussion from the previous in the series.
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Constructing Compatible Operations
Recently in my ring theory class I heard about the theorem that if a ring satisfies 
One of the things I learned later on in my physics classes was that physical laws don’t necessarily guarantee uniqueness. Of course, when written out, this sounds obvious — why would we expect a particular set of laws to always guarantee only one satisfying physical state? — but intuitively I didn’t recognize this until later on.
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What is Differential Analysis in Math?
The term “differential analysis” has well-known meanings in the contexts of statistics and financial accounting, but it has different (ha!) meanings in other areas like mathematical analysis. In this note, I try to understand what these meanings in math are.
