instruction:
Generate the answer for a given question. The question requires common knowledge of English. Make sure that the answer is in detail, long, consistent with the context, and requires general knowledge of English. To be less repetitive, please vary your language for each question. Give a proper explanation to answer, and if necessary, provide the definition of various terms. And conclude your answer if it's long. If you have used other resources (e.g., Merriam Webster's.) to answer the question, include citations in your answer. You don't need to paraphrase the context of your resources, but make sure that your answer is consistent and complete.
question:
For example, for the original quote we shall use, 'One swallow does not a summer make'. If someone were to say 'One good quote does not a philosopher make' (No dig at Aristotle intended...), or 'A fancy suit does not a businessman make'. Essentially, a clear allusion to a quote, but not the quote itself.
answer:
The word I've heard used for this on the linguistics blog Language Log is snowclone (it's derived from phrases of the format 'If Eskimos have N words for snow, X surely have Y words for Z.') Here's a Language Log post that describes the moment the word was coined and that links to some examples: Snowclones: Lexicographical Dating to the Second And here's how it's defined by Collins Dictionaries online: a verbal formula that is adapted for reuse by changing only a few words so that the allusion to the original phrase remains clear You might also be interested in looking at the answers to the following questions: This book will change your wife trope? Is there a general name for this: 'The more you X the more you'll Y' A term describing the replacement of a specific word in a saying with one that ryhmes

question:
When should whilst be used instead of while? For example, should I use the first or the second sentence? They don't do this whilst they do that. They don't do this while they do that. Which would be correct?.
answer:
I believe while and whilst are interchangeable, but whilst is more archaic and adds a nice flavoring to the sentence. That being said, 'whilst' doesn't seem to come up so often in the middle of a sentence as you had it there, so I would use 'while' in that case, even though both are grammatically correct. Whilst seems more apt to be put at the beginnings of sentences, e.g. Whilst going about my merry way I chanced upon a vagabond. Taking this serendipitous opportunity to satiate my bloodlust I decapitated him with a fork.

question:
I've been asked to give lectures on electromagnetism in English, but I encounter many problems trying to express mathematical formulas since they are written and I do not know how to read them. Are there any references which elaborate the formulas and express what should we call any mathematical sign?.
answer:
The following references are useful: Pronunciation Guides for Mathematical Notation, Expressions, and Greek Letters (Reference list) Reading Mathematical Expressions (PDF) How can we speak math? (PDF)