Expression 1: "I" equals 9I=9
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Expression 3: Start sum from "n" equals 1 to "I" , end sum, left parenthesis, sin left parenthesis, pi ( 2 "x" minus 1 ) times 3 Superscript, "n" , Baseline , right parenthesis times left parenthesis, 1 minus StartAbsoluteValue, 1 minus mod left parenthesis, floor ( "x" times 3 Superscript, "n" , Baseline ) , 3 , right parenthesis , EndAbsoluteValue , right parenthesis times Start product from "k" equals 1 to "n" minus 1, end product, StartAbsoluteValue, 1 minus mod left parenthesis, floor ( "x" times 3 Superscript, "k" , Baseline ) , 3 , right parenthesis , EndAbsoluteValue , right parenthesis left brace, 0 less than "x" less than 1 , right brace Has graph. To audio trace, press ALT+T.I∑n=1sinπ(2x−1)·3n·1−1−modfloor(x·3n),3·n−1∏k=11−modfloor(x·3k),30<x<1
expression 4 (Hidden) Start sum from "n" equals 1 to "I" , end sum, left parenthesis, sin left parenthesis, pi "x" times 3 Superscript, "n" , Baseline , right parenthesis times left parenthesis, 1 minus StartAbsoluteValue, 1 minus mod left parenthesis, floor left parenthesis, ( 0.5 "x" plus 0.5 ) times 3 Superscript, "n" , Baseline , right parenthesis , 3 , right parenthesis , EndAbsoluteValue , right parenthesis times Start product from "k" equals 1 to "n" minus 1, end product, StartAbsoluteValue, 1 minus mod left parenthesis, floor left parenthesis, ( 0.5 "x" plus 0.5 ) times 3 Superscript, "k" , Baseline , right parenthesis , 3 , right parenthesis , EndAbsoluteValue , right parenthesis left brace, negative 1 less than "x" less than 1 , right braceI∑n=1sinπx·3n·1−1−modfloor(0.5x+0.5)·3n,3·n−1∏k=11−modfloor(0.5x+0.5)·3k,3−1<x<1
expression 5 (Hidden) sine left parenthesis, pi "x" times 3 squared , right parenthesis left parenthesis, 1 minus abs left parenthesis, 1 minus mod left parenthesis, floor left parenthesis, left parenthesis, .5 "x" plus .5 , right parenthesis times 3 squared , right parenthesis , 3 , right parenthesis , right parenthesis , right parenthesis left brace, 5 ninths less than "x" less than 7 ninths , right bracesinπx·321−abs1−modfloor.5x+.5·32,359<x<79
expression 6 (Hidden) sine left parenthesis, pi "x" times 3 to the 1st power , right parenthesis left parenthesis, 1 minus abs left parenthesis, 1 minus mod left parenthesis, floor left parenthesis, left parenthesis, .5 "x" plus .5 , right parenthesis times 3 to the 1st power , right parenthesis , 3 , right parenthesis , right parenthesis , right parenthesis left brace, negative 1 third less than "x" less than 1 third , right bracesinπx·311−abs1−modfloor.5x+.5·31,3−13<x<13
expression 7 (Hidden) sine left parenthesis, pi "x" times 3 squared , right parenthesis left parenthesis, 1 minus abs left parenthesis, 1 minus mod left parenthesis, floor left parenthesis, left parenthesis, .5 "x" plus .5 , right parenthesis times 3 squared , right parenthesis , 3 , right parenthesis , right parenthesis , right parenthesis left brace, negative 7 ninths less than "x" less than negative 5 ninths , right bracesinπx·321−abs1−modfloor.5x+.5·32,3−79<x<−59
expression 8 (Hidden) left parenthesis, 1 minus abs left parenthesis, 1 minus mod left parenthesis, floor left parenthesis, left parenthesis, .5 "x" plus .5 , right parenthesis times 3 squared , right parenthesis , 3 , right parenthesis , right parenthesis , right parenthesis1−abs1−modfloor.5x+.5·32,3
expression 9 (Hidden) sine left parenthesis, pi "x" times 3 , right parenthesis mod left parenthesis, floor left parenthesis, left parenthesis, .5 "x" plus .5 , right parenthesis times 3 , right parenthesis , 2 , right parenthesis left brace, negative 1 less than "x" less than 1 , right bracesinπx·3modfloor.5x+.5·3,2−1<x<1
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expression 11 (Hidden) Start sum from "n" equals 1 to "I" , end sum, left parenthesis, left parenthesis, 0.5 minus 0.5cos left parenthesis, pi times 3 Superscript, "n" , Baseline times left parenthesis, ( 2 "x" minus 1 ) minus StartFraction, floor ( "x" times 3 Superscript, "n" , Baseline ) Over 3 Superscript, "n" , Baseline , EndFraction , right parenthesis , right parenthesis , right parenthesis times left parenthesis, 1 minus StartAbsoluteValue, 1 minus mod left parenthesis, floor ( "x" times 3 Superscript, "n" , Baseline ) , 3 , right parenthesis , EndAbsoluteValue , right parenthesis times Start product from "k" equals 1 to "n" minus 1, end product, StartAbsoluteValue, 1 minus mod left parenthesis, floor ( "x" times 3 Superscript, "k" , Baseline ) , 3 , right parenthesis , EndAbsoluteValue , right parenthesis left brace, 0 less than "x" less than 1 , right braceI∑n=10.5−0.5cosπ·3n·(2x−1)−floor(x·3n)3n·1−1−modfloor(x·3n),3·n−1∏k=11−modfloor(x·3k),30<x<1
expression 12 (Hidden) Start sum from "n" equals 1 to "I" , end sum, left parenthesis, left parenthesis, 0.5 minus 0.5cos left parenthesis, pi times 3 Superscript, "n" , Baseline times left parenthesis, "x" minus StartFraction, floor ( ( 0.5 "x" plus 0.5 ) 3 Superscript, "n" , Baseline ) Over 3 Superscript, "n" , Baseline , EndFraction , right parenthesis , right parenthesis , right parenthesis times left parenthesis, 1 minus StartAbsoluteValue, 1 minus mod left parenthesis, floor left parenthesis, ( 0.5 "x" plus 0.5 ) 3 Superscript, "n" , Baseline , right parenthesis , 3 , right parenthesis , EndAbsoluteValue , right parenthesis times Start product from "k" equals 1 to "n" minus 1, end product, StartAbsoluteValue, 1 minus mod left parenthesis, floor left parenthesis, ( 0.5 "x" plus 0.5 ) 3 Superscript, "k" , Baseline , right parenthesis , 3 , right parenthesis , EndAbsoluteValue , right parenthesis left brace, negative 1 less than "x" less than 1 , right braceI∑n=10.5−0.5cosπ·3n·x−floor((0.5x+0.5)3n)3n·1−1−modfloor(0.5x+0.5)3n,3·n−1∏k=11−modfloor(0.5x+0.5)3k,3−1<x<1
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powered by
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"a" squareda2
"a" Superscript, "b" , Baselineab
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functions
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less than<
greater than>
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greater than or equal to≥
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