Academic Discourse & Genre

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How many different kinds of genres seem to be published in this particular issue of the journal you selected?
There are two different "genres" at work in this journal.
1: A form of mathematical proofs that show how certain formulas in biochemistry can mathematically be equivalent of proportionate to other formulas or ideas in biochemistry or abstract math in general.
2: Occasional explanation on why the authors researched certain ideas. Usually this way of writing is straight up paragraph form, while the rest of its explanation can be found in the form stated above.
There only exist these two "genres" in the journal, everything is organized in a very simple way. I guess that's kind of why I like mathematics.

Differences in the written genres
Unfortunately, there is absolutely zero evidence of any other style of writing or explanation besides the two forms given above, so I shall now describe the characteristics of these two different genres.

The Formula Form
The name is as exactly as it sounds; the defining characteristic of this genre is it's interesting use of mathematical proofs as explanations behind certain theorem that the authors' have been researching into. This is probably the most unique form of writing I've ever seen considering that it barely qualifies as a form of writing. The entirety of its explanation is given by mathematical equations. That in itself is an interesting quality to have as a form of writing. Furthermore, it serves as the majority of the text. The other form of writing is only meant to support the facts given by this form. Everything is surround the cold hard proofs found in the formula form.

The Supporting English
Math can explain a lot of things that occur in everyday society, but its very difficult translating what exactly math is since its such an abstract concept. For example, if a mathematician were to describe a matrix in real life, he would tell you that the matrix could be defined as infinite possible "things" since a matrix has no dimensions and no context, thus maxing it anything as long as it follows the proportions or variables given in its elements. That's where the Supporting English comes in. With the most literal name ever, the Supporting English gives the mathematical equations given in the formula form context so that the equations are no longer abstract but rather applicable.

My definitions
Honestly, I'd have to be pretty silly not to agree with the formal definitions for the genres given above. The math given in the formula form is the meat and potatoes of the whole paper. Without the formula form ,there is no content since all that's left in the documents is the background for the mathematical formulas. The Formula From serves as the explanation on how the authors made their discovery.
In the same way, the Supporting English is necessary for the equations. Without the Supporting English, all that remains are meaningless mathematical equations. The Supporting English form serves as the was of explaining why the authors made their discovery.