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August 9th, 2017, 09:04 PM  #1 
Member Joined: Jul 2017 From: europe Posts: 44 Thanks: 0  Mathematical expressions...
I hope it is not too absurd. I must ask for some help... I have a very general question. What is the meaning of the following mathematical expressions? 1) q=1, M 2) i=1, N 3) m, M=0 About the first and the second expression, I have a guess... I think these expressions are just another notation for: q=1...M and i=q...N But I am not sure at all, it's just my guess.... About the third expression... I think it notates that both m and M are equal to zero. But again, I am not sure whether this is the right meaning and expression. I would highly appreciate every comment on the topic... Have a nice day! Last edited by skipjack; August 10th, 2017 at 01:12 AM. 
August 10th, 2017, 01:16 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 17,725 Thanks: 1359 
(1) The notation q=1, M means that the variable q takes every integer value from 1 to M. (2) The notation i=1, N means that the variable i takes every integer from 1 to N. (3) The notation m, M=0 means that the variables (or constants) m and M are both zero, or, in certain contexts, zero initially. The above notations do not need to be in bold. I wouldn't regard q=1...M as being a standard notation, though it would normally be taken to mean q=1, M (which is more compact). 
August 10th, 2017, 08:43 AM  #3 
Member Joined: Jul 2017 From: europe Posts: 44 Thanks: 0 
I am very thankful for the explanation!! I have one more question; it is about the notation of percent. Let's consider the following two expressions: 1) b = c + %c 2) b = c + <%> Are they standard (conventional)? If the answer is YES, what exactly do they mean? I am not sure whether I am right, but this is my suggestion: 1) b is the sum of c and per cent of c (it is not indicated how many percents of c, that's why i say some percents...) 2) b is the sum of c and some per cent (it is not indicated how many percent of what...that's why i say undefined per cent of something) And what is the meaning of the special brackets <> in the second expression? I will be glad for every reply! Wish you all the best!! Last edited by DesertFox; August 10th, 2017 at 08:48 AM. 
August 10th, 2017, 09:58 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 17,725 Thanks: 1359 
They both look strange to me, and I think they're not standard notation. Where did you find them? Was there any context that might indicate what they meant?

August 10th, 2017, 09:42 PM  #5  
Member Joined: Jul 2017 From: europe Posts: 44 Thanks: 0  Quote:
help me, please, what does this mean: (1;x) According to me, it looks like notation of interval. But I don't understand the use of ";" instead of "," In other word, according an interval must be written properly like this: (1,x) So, what does the expression (1;x) mean? Or again... this is not standard notation? it is confusing me And one more question. What is the meaning of ordered pair written in square brackets. For example: [x,y] Or maybe this is not a proper notation? I know what is the meaning of the square brackets in intervals. But I don't know whether square brackets have any meaning when they notate ordered pairs.... Last edited by skipjack; August 11th, 2017 at 09:26 AM.  
August 11th, 2017, 10:10 AM  #6 
Global Moderator Joined: Dec 2006 Posts: 17,725 Thanks: 1359 
I haven't come across "(1;x)" before, so I don't know what it would be used for. Similarly, I haven't come across square brackets being used for writing an ordered pair. Slightly offbeat notations may be used simply to refer to different parts of a textbook or article. They may also be features of a computer programming language. If most mathematics textbooks don't use a particular notation, it's reasonable to regard the notation as not being standard. 

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