expression 1 (Hidden) "I" equals 9I=9
00
99
Expression 2: 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 brace Has graph. To audio trace, press ALT+T.I∑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
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expression 39 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 1 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 2 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,136,236·2π·36
expression 40 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 7 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 8 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,736,836·2π·36
expression 41 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 19 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 20 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,1936,2036·2π·36
expression 42 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 25 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 26 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,2536,2636·2π·36
expression 43 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 55 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 56 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,5536,5636·2π·36
expression 44 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 61 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 62 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,6136,6236·2π·36
expression 45 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 73 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 74 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,7336,7436·2π·36
expression 46 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 79 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 80 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,7936,8036·2π·36
expression 47 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 163 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 164 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,16336,16436·2π·36
expression 48 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 169 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 170 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,16936,17036·2π·36
expression 49 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 181 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 182 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,18136,18236·2π·36
expression 50 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 187 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 188 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,18736,18836·2π·36
expression 51 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 217 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 218 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,21736,21836·2π·36
expression 52 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 223 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 224 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,22336,22436·2π·36
expression 53 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 235 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 236 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,23536,23636·2π·36
expression 54 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 241 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 242 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,24136,24236·2π·36
expression 55 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 487 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 488 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,48736,48836·2π·36
expression 56 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 493 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 494 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,49336,49436·2π·36
expression 57 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 505 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 506 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,50536,50636·2π·36
expression 58 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 511 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 512 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,51136,51236·2π·36
expression 59 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 541 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 542 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,54136,54236·2π·36
expression 60 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 547 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 548 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,54736,54836·2π·36
expression 61 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 559 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 560 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,55936,56036·2π·36
expression 62 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 565 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 566 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,56536,56636·2π·36
expression 63 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 649 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 650 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,64936,65036·2π·36
expression 64 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 655 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 656 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,65536,65636·2π·36
expression 65 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 667 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 668 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,66736,66836·2π·36
expression 66 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 673 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 674 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,67336,67436·2π·36
expression 67 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 703 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 704 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,70336,70436·2π·36
expression 68 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 709 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 710 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,70936,71036·2π·36
expression 69 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 721 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 722 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,72136,72236·2π·36
expression 70 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 727 Over 3 to the 6th power , EndFraction , right parenthesis , StartFraction, 728 Over 3 to the 6th power , EndFraction , right parenthesis times 2 pi times 3 to the 6th power , right parenthesis , right parenthesis.5−.5cosminmaxx,72736,72836·2π·36
Expression 71:
expression 72 (Hidden) left parenthesis, .5 minus .5cos left parenthesis, min left parenthesis, max left parenthesis, "x" , StartFraction, 1 Over 3 to the 7th power , EndFraction , right parenthesis , StartFraction, 2 Over 3 to the 7th power , EndFraction , right parenthesis times 2 pi times 3 to the 7th power , right parenthesis , right parenthesis.5−.5cosminmaxx,137,237·2π·37
136
powered by
powered by
"x"x
"y"y
"a" squareda2
"a" Superscript, "b" , Baselineab
77
88
99
divided by÷
functions
((
))
less than<
greater than>
44
55
66
times×
| "a" ||a|
,,
less than or equal to≤
greater than or equal to≥
11
22
33
negative−
A B C
StartRoot, , EndRoot
piπ
00
..
equals=
positive+