![]() ![]() These three theorems, known as Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS), are foolproof methods for determining similarity in triangles. Similar triangles are easy to identify because you can apply three theorems specific to triangles. Note: Note that in similar triangles, each pair of corresponding sides are proportional.Īlso, if two triangles are congruent, therefore they are similar (although the converse is not always true). $\Rightarrow$\, since we know that if two triangles are congruent, therefore they are similar. Therefore, by the SAS Congruency Criterion, Jw = jarowink('MICHELLE', 'MICHAEL', 0.Proof: Since\, we can see that \ Jw = jarowink('JERALDINE', 'GERALDINE', 0.1) Jw = jarowink('NICHLESON', 'NICHULSON', 0.1) The SAS congruence postulate states that if two triangles have two sides of the same length and the included angle of the same measure, then the two triangles. Jw = jarowink('DUNNINGHAM', 'CUNNIGHAM', 0.1) SAS Similarity theorem states that, If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar. Jw = jarowink('SHACKLEFORD', 'SHACKELFORD', 0.1) *** tell SAS where to find the functions we just wrote *** Return(jarodist + prelen * prefixscale * (1 - jarodist)) Prelen = getPrefixlen(string1, string2, 4) *** check for trivial case and calc JW if needed *** *** get number of transposed characters *** įunction jarowink(string1 $, string2 $, prefixscale) ![]() *** get number of matched characters in string2 *** *** get number of matched characters in string1 *** Return(n) *** all maxprelen characters match *** If substr(string1, i, 1) ne substr(string2, i, 1) N = min(maxprelen, lengthn(string1), lengthn(string2)) If substr(string1, i, 1) ne substr(string2, i, 1) then ntrans + 1 įunction getPrefixlen(string1 $, string2 $, maxprelen) * count the number of "half" transpositions */įunction jarotrans(string1 $, string2 $) ĭo i = 1 to min(lengthn(strip(string1)), lengthn(strip(string2))) Substr(string2, allowed_start + position -1, 1) = '~' *** Once a char is assigned, it can not be assigned again. MatchChars = cats(matchChars, substr(allowed_str2, position, 1)) Position = findc(allowed_str2, substr(string1, i, 1)) *** find i char from string1 in string2 within the allowedDist *** *** get the part of string2 to search *** Īllowed_start = max(1, i - allowedDist) *** starting char position *** Īllowed_str2 = substr(string2, allowed_start, i + allowedDist - allowed_start + 1) *** walk through string1 and match characters to string2 *** Two chars from string1 and string2Īre considered matching if they are no farther apart thanįunction jaromatch(string1 $, string2 $) $ 40 ĪllowedDist = floor(max(str1_len, str2_len) / 2) - 1 * Returns matched characters between 2 strings. (See table 6) I used the examples to test my code. * tell SAS where to find the functions we just wrote */ Prelen=getPrefixlen(string1, string2, 4) Įlse return(jarodist + prelen * prefixscale * (1-jarodist)) * get number of transposed characters */įunction jarowink( string1 $, string2 $, prefixscale) If substr(string1,i,1) ne substr(string2,i,1) N = min(maxprelen, length(string1), length(string2)) * get the length of the matching characters at the beginning */ If substr(string1,i,1) ne substr(string2,i,1) then do įunction getPrefixlen( string1 $, string2 $, maxprelen) Ubnd = min(length(strip(string1)), length(strip(string2))) Position = findc(string2,x ,max(1,i-allowedDist)) įunction jarotrans (string1 $, string2 $ ) * walk through string 1 and match characters to string2 */ If they are no farther than floor(max(|s1|, |s2|)/2)-1 */ĪllowedDist = floor(max(str1_len, str2_len)/2) -1 * two chars from string1 and string2 are considered matching * Returns number of matched characters between 2 strings excluding blanks*/ ![]() Subroutine jaromatch ( string1 $, string2 $, matchChars $) It certainly isn't close to being a perfect representation of Bill Winkler's strcmp.c file by any means and likely has lots of bugs. I just tried to follow the wikipedia article on it. I'll even give you a head start with the code below. ![]() You can roll you own functions with proc fcmp though if you feel up to it. If similar, write a similarity statement and the theorem or postulate that justifies your answer. already reference the only ones that I know of. These triangles are not similar Determine whether the triangles are similar (state yes or no). There is no built in function for jaro-winkler distance that I am aware of. ![]()
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