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The consequence of these features is that a mathematical text is generally not understandable without some prerequisite knowledge. For example, the sentence "a free module is a module that has a basis" is perfectly correct, although it appears only as a grammatically correct nonsense, when one does not know the definitions of basis, module, and free module.
Research on dialogue journal use at all age levels—with native speakers of the language of the writing, first and second language learners, deaf students, and teachers—has identified key features of dialogue journal communication that set it apart from most writing in educational settings: authentic communication, collaborative learning and knowledge building, critical thinking, personal ...
Alternatively—since the previous result can be unaesthetic, especially for inlined formulae presented as an image whose baseline does not line up with that of the running text—the punctuation can be placed after the </math> tag and then the whole formula (including the punctuation) can be enclosed with the {} template, as in This shows that ...
Presenting mathematics may be hard since the general public suffers from mathematical anxiety and mathematical objects are highly abstract. [209] However, popular mathematics writing can overcome this by using applications or cultural links. [210] Despite this, mathematics is rarely the topic of popularization in printed or televised media.
In general, all you need is care and patience, given that you have the necessary skills. Persist with the plan that you have chosen. If it continues not to work, discard it and choose another. Don't be misled; this is how mathematics is done, even by professionals. [3]
In linguistics, grammaticality is determined by the conformity to language usage as derived by the grammar of a particular speech variety. The notion of grammaticality rose alongside the theory of generative grammar, the goal of which is to formulate rules that define well-formed, grammatical sentences. These rules of grammaticality also ...