Otis said:
Who said [lemme is] allowed?
… I don't know ! … I face that struggle [with everything] …
Ryan, my point is this: You don't need to be concerned about 'lemme' because it's common English slang. People already accept that it means 'let me' so nobody needs to struggle over its use or ask whether it's allowed. (It probably would not be allowed in a formal English writing assignment, but we don't worry about such stuff
here.) Almost nobody cares where the word lemme originated or who said it first, so those questions don't need to be asked.
In other words,
'lemme' means 'let me' is
given information. Once we've been told (i.e., learn it), we use it. We don't worry about it. We accept it as true because we hear it regularly and
it works. I'm sure you agree; after all, you used the word lemme without any concerns. You ought to do the same with givens in math.
Here is how most math students learn given information. They participate in a structured course of study (eg: they go to class). They study many pieces of given information (eg: definitions, relationships, patterns, methods). Next, they practice remembering and recognizing the information they've been given. (Successful students practice A LOT.) They don't question given facts. They don't worry about original sources. They simply accept lessons as true because the instruction says so.
I'm still not sure what you're doing here. First, you told us that you're a new student at university, but you won't answer our questions about that, so we don't know whether you're currently in a math class or not. Later, you said you're studying "alone" and "on my own". We've asked to see what materials you've been looking at, but you won't show us. Overall, you answer less than half of our questions. You regularly abandon your threads. You jump back and forth between different topics, from different math classes (basic arithmetic, calculus, probability, trigonometry, geometry, various levels of algebra). You start threads to ask questions that you've already posted, seemingly unaware of answers we've already provided. Perhaps you're not really interested in learning. Maybe you're just playing with math (like a part-time hobby), chatting in the forum about stuff you see on youtube or wherever -- but only the bits and pieces that interest you in the moment (while skipping the big picture). Humans do not learn mathematics by watching others. We learn by doing.
Speaking for myself only, I've become disinterested in trying to help you because I see no goal. Therefore, I'm going to let other members respond to your posts from now on. I wish you good luck with whatever it is that you're trying to accomplish. Cheers
