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AMERICAN JOURNAL OF PHYSICAL ANTHROPOLOGY 98:73-86 (1995) Euclidean Distance Matrix Analysis: Confidence Intervals for Form and Growth Differences SUBHASH LEE AND JOAN T. RICHTSMEIER Department of

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Hello friends my name is Pusher, and today we are going to look at the question minimum edit distance, so the question is given two strings and certain operations like edit delete and add how many minimum operations would intake to convert one string into another string so let's look at an example herein×39’m fostering ABIDE and another strings z CED how many minimum operations which is edit delete or add would it take to convert this string into this rains let me write those from harsh in this case in a same we can reconvert of Z C and C D can bedeletedEnes n MF can accommodate to D so twill take three operations to edits anyone deletes to convert the string ABIDE FTO string is e CED so how do we find the minimum number of operations and what are those operations, so we will use dynamic programming to solve this question so as you can see I have this first row as the false 3 ABIDE F and my first column is ZC e D here I have an extra column an extra column and extra row which is just saying which is just saying that if is I had a stringABCDE F on one side and null string on another side it would take 6 edits to convert this into this and this is that if I had a null string here and a strings ECE d here then you take five minutest converts that into this now let'set×39’s start filling up the rest the matrix ix, so now we have lets start from this point if we had only one string if our first thing only had one character a and if our second string only had one character a how many edits were retained to convert a to an is 0 IFA for fostering had two characters a Band our second string had character show many edits will it take to convert ab to a 1 which is deleting be if we had characters ABC on first ring and an on another string it would take two edits to two operations to convert ABC to an if we had a b c d and a that will get three operations for E and five operations for F so if we had a stringABCDE F on one side and an on another side it should take five operations to convert that into this alright let'still up this row so if we had strung their and a and Z here it would take one operation to convert a two A'which is adding a Z there so one if we had string a BS here and easy here it would again take one operation to convert a BS too easy so let's look at how we are coming with this number soothe way we come up in this number is you look at what is on the left what is diagonally up and what is at the top, and you say what is the minimum of the three so in these gets at 0 so 0 plus1 is 1, so that's how we came up with all this numbers if you look here minimum of this 3 so 2 plus 1 3 minimum of this 3 3plus 1 4 minimum of this 3 4 plus 1 5 seat all the locations if the characters are different, so you use this technique you see minimum of the 3 plus 1let'’s say if our string is ABC uneasy sincere Z and C are different we×39’ll say minimum of this 3 plus 1 so 2 since And D are different so minimum of this 3plus 1 3 her difference a minimum of...

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