TASK DEFINITION: Given the Question and Answer pair, detect whether the answer is acceptable or not. Denote acceptable answer as "yes", otherwise denote as "no". An acceptable answer is consistent with the context in question, detailed, long, and uses general knowledge of English. Answers that are not definite and suggest a variety of options are not acceptable answers.
PROBLEM: Question: This question, "Discrete Units of a Continuous Quantity", asks whether units of a continuous quantity should be spoken of as discrete or continuous. The top answer states The rule is simple, and you obviously know it: discrete quantities require the use of "fewer" and continuous quantities require the use of "less". Calorie, as a unit, requires the use of "fewer". Energy, as a continuum, requires the use of "less". "Fewer calories means less energy." I do not understand the logic here though. Calorie is a unit, yes, but it is a continuous unit (it is possible to have half a calorie, or 4.582394 calories). Since a calorie is such a small unit of energy compared to what it is usually used for (food energy and human metabolism), it is very seldom expressed in a fractional form and instead is rounded (usually to the nearest 10 or higher). Why then should "fewer" be used with calorie instead of "less"? Is there another relevant rule than just "continuous quantities use "less" and discrete quantities use "fewer"?
Answer: We simply don't speak of 5 Energy. The key difference here, mathematically, is rationals vs real numbers. That is, even if you cut your kilocalories in half, you would always have a finite-length number to describe the amount. Hence, the rationals as well as the natural numbers are called countable. The set of Real Numbers on the other hand is an uncountable set, because for every finite-length number, you can have an infinite amount of infinite-length real numbers that start with the finite length number. The details are tricky, I'm not a maths teacher. So far so good. Why then is energy uncountable? It's a historically grown thing. The whys and hows of this fact should be part of a different question, though. (I mean, I really don't know). Suffice to say that the distinction between the measured object and the measurement result is purposeful.

SOLUTION: no

PROBLEM: Question: In my language, when I write an email to my professor, boss, etc, there is a greeting part in the first part of email right after "Dear prof. ..."(in my language of course), e.g. "How are you", "I hope everything is alright" and so on. But I don't have any idea how can I write a proper email with such a greeting in English? Or do I have to ignore it because the email is kinda formal?
Answer: I almost always start formal e-mails with Dear Professor _, I hope this note finds you well. Some guidelines will suggest ending your salutation with a colon rather than a comma, but in many circumstances a comma is acceptable. If the person's title is "professor," you should spell it out (not "prof.") and begin it with a capital letter when it precedes the person's name (as it would in your example). "I hope this note (or letter) finds you well" politely establishes a friendly connection between you and the recipient of your letter and in most circumstances is a great way to start it. Especially if you're asking for something, it's good to indicate your concern for the person you're writing to. For the same reason, it's a good idea to end the letter with a phrase or sentence that will similarly show interest in their work or their well-being. "Best regards," is fine, but if you can tailor it in a way that's a bit more thoughtful, it's better. "I hope your book/project continues to go smoothly." (This can be followed by a "Best regards.") If this is a person you don't know, you may have to settle for a generic "Best regards" alone.

SOLUTION: yes

PROBLEM: Question: Possible Duplicate: What is the difference between an expression and a phrase? Difference between "phrase" and "idiom" What is the difference between a phrase, an idiom and an expression? I am looking for the context where one is more appropriate than the rest. I've been using idiom and phrase more or less interchangeably.
Answer: This question asks nearly the same thing. This is the difference between an idiom and a phrase: A phrase is "a small group of words standing together as a conceptual unit", while an idiom is "a group of words established by usage as having a meaning not deducible from those of the individual words". So, the difference is that an idiom as an established meaning not directly linked to the individual words. Any idiom is a phrase. As an example, "raining cats and dogs" is both an idiom and a phrase. "A herd of cats" is a phrase but not an idiom. Expression has about the same meaning as phrase, except it is usually used of a phrase which is in common use. So an idiom is a certain sort of expression, which in turn is a subset of phrase: idiom > expression > phrase.

SOLUTION:
yes