Difference between the lower case and upper case?
Answers
Answer:
Uppercase and lowercase letters refer to all letters used to compose the English language. Uppercase letters are used to begin sentences and are also used for proper nouns. Lowercase letters are all letters that do not begin sentences.
Answer:
Is there any stylistic difference between the use of an uppercase or lowercase ‘N’ in a mathematical formula where ‘N’ represents a number?
Yes. But to some extent it’s up to you. If you need many symbols it is easier to remember which is which if related symbols refer to related things. We often use subscripts to achieve this, or different fonts or cases, or Greek (and sometimes even Hebrew) letters.
In your specific example it probably doesn’t matter. However, it depends what conventions have been used in the rest of the formulae.
About case specifically, sometimes n might refer to a general term of a series and N a specific term, for example if you want to sum the terms from 1 to N.
In statistics and probability theory we often use capital letters for random variables, lower case letters for specific values they take, and Greek letters for parameters.
In vector algebra we often use bold letters for vectors and plain letters for scalars.
Conventions vary, but if there’s a common standard it’s a good idea to stick to it.