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April 28th, 2018, 01:36 PM  #1 
Member Joined: Sep 2014 From: Sweden Posts: 76 Thanks: 0  How to describe a programming array mathematically?
Hi! This post is mostly out of curiosity. I have a program that you give a text file with hours and minutes you have worked. Like this: workedHours.txt 09.3014.00 09.3015.00 09.3014.00 08.3018.00 And the program automatically calculates the hours and minutes worked. It does that by putting the hours into one array and minutes into an array. So how do you describe these arrays mathematically? Here is a picture to make it clearer: http://www.mediafire.com/view/oue81l...428_232906.jpg Last edited by greg1313; April 28th, 2018 at 04:00 PM. 
May 3rd, 2018, 03:33 AM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,163 Thanks: 867 
Does "09.3014.00" mean that a person worked form 9:30 am to 2:00 pm? That is 4 hours and 30 minutes. I "rounded" 9.30 up to 10.00 to get 14.00 10.00= 4 hours. Similarly "9.30 15.00" is 15 10= 5 hours and 30 minutes, "9.3014.00" is again 14 10= 4 hours and 30 minutes, and "8.30 18.00" is 18 9= 9 hours and 30 minutes. You array of hours will be "4, 5, 4, 9" and your array of minutes will be "30, 30, 30, 30". 
May 3rd, 2018, 04:38 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 18,961 Thanks: 1605  Your arrays are lists of integers. Use a letter to name each list and, if necessary, another letter to specify the length of the lists. Your lists should be equally long (because for each number of hours there is an associated number of minutes), so one letter will suffice to specify their length. Your program may need to decide what to do if an odd number of times is found for some day. For example, this could be treated as an error in the data. This type of program typically calculates the totals in hours and minutes, so as to avoid the possibility of rounding errors. 

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