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February 5th, 2013, 07:01 AM  #1 
Newbie Joined: Feb 2013 Posts: 7 Thanks: 0  Learning to read maths formulas
Hi, im new in the forum, nice to meet you! I'm engineer and I want improve my mathematical reading, i.e. formula syntaxis, im very noob in this. My doubt is: having: to iterate through every element of S set, its the same write: that ?Ώ Take it easy , and thanks for your time.  Regards, r0i. 
February 5th, 2013, 07:19 AM  #2 
Member Joined: Jan 2013 Posts: 93 Thanks: 0  Re: Learning to read maths formulas
Yes, they are the same. In the former notation, you can drop the subscript and just write 
February 5th, 2013, 07:27 AM  #3 
Newbie Joined: Feb 2013 Posts: 7 Thanks: 0  Re: Learning to read maths formulas
Hi Crimson Sunbird, thanks for your fast answer, and for the subscript tip. I understand it, in cases like you described, the abbreviation has "implicit information". Again thanks for your time.  Regards, r0i. 
February 5th, 2013, 07:35 AM  #4 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Learning to read maths formulas
I don't think of that as an abbreviation. I see as an abbreviation for so this one works out to be where the latter has the advantage of not needing an explicit numbering of the elements. 
February 5th, 2013, 07:48 AM  #5 
Newbie Joined: Feb 2013 Posts: 7 Thanks: 0  Re: Learning to read maths formulas
Hi CRGreathouse, in this context, n is the maximum value that can reach the subscript, i.e. indicating max. no. of elements in the set, and k is the current element, so in that case i think yes, as Crimson Sunbird said. In your last equation, I understand that you try get every element in S n times, or in python: Code: for k in range(n): for s in S: # stuff Thanks for your time .  Regards, Roi. 
February 5th, 2013, 09:00 AM  #6  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Learning to read maths formulas Quote:
 
February 5th, 2013, 09:08 AM  #7 
Newbie Joined: Feb 2013 Posts: 7 Thanks: 0  Re: Learning to read maths formulas
ok, then we cant do directly: Code: for s in S: #stuff Code: for k in range(n): sk = S[k] # stuff 
February 5th, 2013, 09:29 AM  #8 
Newbie Joined: Feb 2013 Posts: 7 Thanks: 0  Re: Learning to read maths formulas
Actually, Im reading in a paper called "A new fuzzing method using multi data samples" where a a equation in the form I posted is showed. The information given is the next: In which: sk, kth data sample of input elements to a target software mined, S is a primitive set of the data sample. And S? is a set constituted by representative elements selected from S, and S? is the data sample combination to be used to generate test cases. [...] Tr1 and Tr2 are two different transformers form sk to sampletreek,, M is a set of mutators, The next pseudocode is showed: Code: 1. M = {m1, , mi, , mw } 2. testsuite = {} 3. for (each sk in S?) 4. { 5. sampletreek = Tr1 (sk) 6. for (each mi in M except GAMutator) 7. { 8. MTS = ... #stuff 15. } 16. } 17. run every element in testsuite in the target software and monitor them With this I related the first summation with the for loop on l.3, and the boundaries of the second with the l.1 M = {m1, , mi, , mw } i, k and the for loop on l.6. In the practice it seems the same, iteratoins over arrays/lists/sets, as you can see in pseudocode :S. Some help to clarify ? 
February 5th, 2013, 11:11 AM  #9  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Learning to read maths formulas Quote:
 
February 5th, 2013, 11:17 AM  #10  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Learning to read maths formulas Quote:
and means the sum of the absolute value of m_i(Tr(s)) over all s in S and all i from 1 to w. There are #S * w summands in total, where #S is the number of elements in S.  

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