Ⱉ𑜇ⵙ✢𐫱🝊✞Ⓞ⯏Ⓞ✞🝊𐫱✢ⵙ𑜇Ⱉ

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𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢
𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢

𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢 𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢 0.0118474958221645 25 304 288 982.2458 84.406022589954 0 ᯜ ᯜ 0 84.406022589954 25 304 288 982.2458 0.0118474958221645 0.0355424874664934 8 434 762 994.08195 28.135340863318 -1 ·ꔹᯜꔹ· ·ꔹᯜꔹ· -1 28.135340863318 8 434 762 994.08195 0.0355424874664934 0.10662746239948 2 811 587 664.69398 9.37844695443933 -2 ꞉ꔹᯜꔹ꞉ ꞉ꔹᯜꔹ꞉ -2 9.37844695443933 2 811 587 664.69398 0.10662746239948 0.319882387198441 937 195 888.231327 3.12614898481311 -3 ⋮ꔹᯜꔹ⋮ ⋮ꔹᯜꔹ⋮ -3 3.12614898481311 937 195 888.231327 0.319882387198441 0.959647161595322 312 398 629.410442 1.04204966160437 -4 ⁘ꔹᯜꔹ⁘ ⁘ꔹᯜꔹ⁘ -4 1.04204966160437 312 398 629.410442 0.959647161595322 2.87894148478597 104 132 876.470147 0.347349887201457 -5 ➭ꔹᯜꔹ➭ ➭ꔹᯜꔹ➭ -5 0.347349887201457 104 132 876.470147 2.87894148478597 8.6368244543579 34 710 958.8233825 0.115783295733819 -6 ⠿ꔹᯜꔹ⠿ ⠿ꔹᯜꔹ⠿ -6 0.115783295733819 34 710 958.8233825 8.6368244543579 25.9104733630737 11 570 319.6077942 0.038594431911273 -7 ❁🖵ፚꔹᯜꔹፚ🖵❁ ❁🖵ፚꔹᯜꔹፚ🖵❁ -7 0.038594431911273 11 570 319.6077942 25.9104733630737 77.7314200892211 3 856 773.20259805 0.012864810637091 -8 🖵❋ꔹᯜꔹ❋🖵 🖵❋ꔹᯜꔹ❋🖵 -8 0.012864810637091 3 856 773.20259805 77.7314200892211 233.194260267663 1 285 591.06753268 0.00428827021236366 -9 𐧟ꔹᯜꔹ𐧟 𐧟ꔹᯜꔹ𐧟 -9 0.00428827021236366 1 285 591.06753268 233.194260267663 699.58278080299 428 530.355844228 0.00142942340412122 -10 ⵔ·ⵔꔹᯜꔹⵔ·ⵔ ⵔ·ⵔꔹᯜꔹⵔ·ⵔ -10 0.00142942340412122 428 530.355844228 699.58278080299 2 098.74834240897 142 843.451948076 0.000476474468040407 -11 ···ꔹᯜꔹ··· ···ꔹᯜꔹ··· -11 0.000476474468040407 142 843.451948076 2 098.74834240897 6 296.24502722691 47 614.483982692 0.000158824822680136 -12 ꞉·꞉ꔹᯜꔹ꞉·꞉ ꞉·꞉ꔹᯜꔹ꞉·꞉ -12 0.000158824822680136 47 614.483982692 6 296.24502722691 18 888.7350816807 15 871.4946608973 0.0000529416075600452 -13 ⋮·⋮ꔹᯜꔹ⋮·⋮ ⋮·⋮ꔹᯜꔹ⋮·⋮ -13 0.0000529416075600452 15 871.4946608973 18 888.7350816807 56 666.2052450422 5 290.49822029912 0.0000176472025200151 -14 ⁘·⁘ꔹᯜꔹ⁘·⁘ ⁘·⁘ꔹᯜꔹ⁘·⁘ -14 0.0000176472025200151 5 290.49822029912 56 666.2052450422 169 998.615735127 1 763.49940676637 0.00000588240084000503 -15 -15 0.00000588240084000503 1 763.49940676637 169 998.615735127 509 995.84720538 587.83313558879 0.00000196080028000168 -16 -16 0.00000196080028000168 587.83313558879 509 995.84720538 1 529 987.54161614 195.944378529597 0.000000653600093333892 -17 -17 0.000000653600093333892 195.944378529597 1 529 987.54161614 4 589 962.62484842 65.3147928431989 0.000000217866697777964 -18 -18 0.000000217866697777964 65.3147928431989 4 589 962.62484842 13 769 887.8745452 21.7715976143996 0.0000000726222325926546 -19 -19 0.0000000726222325926546 21.7715976143996 13 769 887.8745452 41 309 663.6236357 7.25719920479988 0.0000000242074108642182 -20 -20 0.0000000242074108642182 7.25719920479988 41 309 663.6236357 123 928 990.870907 2.41906640159996 0.00000000806913695473941 -21 ⭥🚹⭥ ⭥🚹⭥ -21 0.00000000806913695473941 2.41906640159996 123 928 990.870907 371 786 972.612722 0.806355467199987 0.00000000268971231824647 -22 ⭀🚹⭀ ⭀🚹⭀ -22 0.00000000268971231824647 0.806355467199987 371 786 972.612722 1 115 360 917.83817 0.268785155733329 0.000000000896570772748823 -23 -23 0.000000000896570772748823 0.268785155733329 1 115 360 917.83817 3 346 082 753.5145 0.0895950519111097 0.000000000298856924249608 -24 ✻⯏Ⓞ◇⯏◇Ⓞ⯏✻⠀𖢄⠀⊻Ⓞ𖧷ꖅ⯏Ⓞ⊻🝊⊻Ⓞ⯏ꖅ𖧷Ⓞ⊻⠀𖢄⠀✻⯏Ⓞ◇⯏◇Ⓞ⯏✻ ✻⯏Ⓞ◇⯏◇Ⓞ⯏✻⠀𖢄⠀⊻Ⓞ𖧷ꖅ⯏Ⓞ⊻🝊⊻Ⓞ⯏ꖅ𖧷Ⓞ⊻⠀𖢄⠀✻⯏Ⓞ◇⯏◇Ⓞ⯏✻ -24 0.000000000298856924249608 0.0895950519111097 3 346 082 753.5145 10 038 248 260.5435 0.0298650173037032 0.0000000000996189747498692 -25 -25 0.0000000000996189747498692 0.0298650173037032 10 038 248 260.5435 30 114 744 781.6305 0.00995500576790107 0.0000000000332063249166231 -26 -26 0.0000000000332063249166231 0.00995500576790107 30 114 744 781.6305 90 344 234 344.8914 0.00331833525596702 0.0000000000110687749722077 -27 -27 0.0000000000110687749722077 0.00331833525596702 90 344 234 344.8914 271 032 703 034.674 0.00110611175198901 0.00000000000368959165740256 -28 -28 0.00000000000368959165740256 0.00110611175198901 271 032 703 034.674 813 098 109 104.022 0.000368703917329669 0.00000000000122986388580085 -29 -29 0.00000000000122986388580085 0.000368703917329669 813 098 109 104.022 2 439 294 327 312.07 0.000122901305776556 0.000000000000409954628600285 -30 -30 0.000000000000409954628600285 0.000122901305776556 2 439 294 327 312.07 7 317 882 981 936.2 0.0000409671019255188 0.000000000000136651542866762 -31 -31 0.000000000000136651542866762 0.0000409671019255188 7 317 882 981 936.2 21 953 648 945 808.6 0.0000136557006418396 0.0000000000000455505142889205 -32 -32 0.0000000000000455505142889205 0.0000136557006418396 21 953 648 945 808.6 65 860 946 837 425.8 0.00000455190021394654 0.0000000000000151835047629735 -33 -33 0.0000000000000151835047629735 0.00000455190021394654 65 860 946 837 425.8 197 582 840 512 277. 0.00000151730007131551 0.0000000000000050611682543245 -34 -34 0.0000000000000050611682543245 0.00000151730007131551 197 582 840 512 277. 592 748 521 536 832. 0.000000505766690438504 0.00000000000000168705608477483 -35 🟢 🟢 -35 0.00000000000000168705608477483 0.000000505766690438504 592 748 521 536 832.

            84.406022589954030768899117092091000289089388918088900852079    84.406022589954030768899117092091000289089388918088900852079

𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢 𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢

𓊗#𖢌❋ⵔ𐧟❋꞉ⵔⵔⵔ·𐧟ⵔ꞉𐧟ⵔፚ··𐧟𐧟❋❋⠿ፚⵔꔹⵔ⁘➭𐧟𐧟❋➭∶∶ⵔ⠿ⵔ⁘◌⁘❋⁘◌⁘ⵔ⠿ⵔ∶∶➭❋𐧟𐧟➭⁘ⵔꔹⵔፚ⠿❋❋𐧟𐧟··ፚⵔ𐧟꞉ⵔ𐧟·ⵔⵔⵔ꞉❋𐧟ⵔ❋𖢌#𖢌𐧟ፚⵔ꞉➭❋ⵔⵔ𐧟❋❋ⵔ❋·𐧟❋❋ꔹ𐧟❋ⵔ𐧟❋꞉ⵔⵔⵔ·𐧟ⵔ꞉𐧟ⵔፚ··𐧟𐧟❋❋⠿ፚⵔꔹⵔ⁘➭𐧟𐧟❋➭∶∶ⵔ⠿ⵔ⁘◌⁘❋⁘◌⁘ⵔ⠿ⵔ∶∶➭❋𐧟𐧟➭⁘ⵔꔹⵔፚ⠿❋❋𐧟𐧟··ፚⵔ𐧟꞉ⵔ𐧟·ⵔⵔⵔ꞉❋𐧟ⵔ❋𐧟ꔹ❋❋𐧟·❋ⵔ❋❋𐧟ⵔⵔ❋➭꞉ⵔፚ𐧟𖢌𖥕𖢌𐧟ፚⵔ꞉➭❋ⵔⵔ𐧟❋❋ⵔ❋·𐧟❋❋ꔹ𐧟❋ⵔ𐧟❋꞉ⵔⵔⵔ·𐧟ⵔ꞉𐧟ⵔፚ··𐧟𐧟❋❋⠿ፚⵔꔹⵔ⁘➭𐧟𐧟❋➭∶∶ⵔ⠿ⵔ⁘◌⁘❋⁘◌⁘ⵔ⠿ⵔ∶∶➭❋𐧟𐧟➭⁘ⵔꔹⵔፚ⠿❋❋𐧟𐧟··ፚⵔ𐧟꞉ⵔ𐧟·ⵔⵔⵔ꞉❋𐧟ⵔ❋𐧟ꔹ❋❋𐧟·❋ⵔ❋❋𐧟ⵔⵔ❋➭꞉ⵔፚ𐧟𖢌᪣⠀᪣𖢌𐧟ፚⵔ꞉➭❋ⵔⵔ𐧟❋❋ⵔ❋·𐧟❋❋ꔹ𐧟❋ⵔ𐧟❋꞉ⵔⵔⵔ·𐧟ⵔ꞉𐧟ⵔፚ··𐧟𐧟❋❋⠿ፚⵔꔹⵔ⁘➭𐧟𐧟❋➭∶∶ⵔ⠿ⵔ⁘◌⁘❋⁘◌⁘ⵔ⠿ⵔ∶∶➭❋𐧟𐧟➭⁘ⵔꔹⵔፚ⠿❋❋𐧟𐧟··ፚⵔ𐧟꞉ⵔ𐧟·ⵔⵔⵔ꞉❋𐧟ⵔ❋𐧟ꔹ❋❋𐧟·❋ⵔ❋❋𐧟ⵔⵔ❋➭꞉ⵔፚ𐧟𖢌𖥕𖢌𐧟ፚⵔ꞉➭❋ⵔⵔ𐧟❋❋ⵔ❋·𐧟❋❋ꔹ𐧟❋ⵔ𐧟❋꞉ⵔⵔⵔ·𐧟ⵔ꞉𐧟ⵔፚ··𐧟𐧟❋❋⠿ፚⵔꔹⵔ⁘➭𐧟𐧟❋➭∶∶ⵔ⠿ⵔ⁘◌⁘❋⁘◌⁘ⵔ⠿ⵔ∶∶➭❋𐧟𐧟➭⁘ⵔꔹⵔፚ⠿❋❋𐧟𐧟··ፚⵔ𐧟꞉ⵔ𐧟·ⵔⵔⵔ꞉❋𐧟ⵔ❋𐧟ꔹ❋❋𐧟·❋ⵔ❋❋𐧟ⵔⵔ❋➭꞉ⵔፚ𐧟𖢌#𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢⠀𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢#𖡌𓊗⊞⯏⊻⛋ꖅ𖧷ꖅ⊻ꖅ𖧷ꖅ⛋⊻⯏⊞𓊗𖡌◊୊◊◯◊୊◊𖡌𓊗⊞⯏⊻⛋ꖅ𖧷ꖅ⊻ꖅ𖧷ꖅ⛋⊻⯏⊞𓊗𖡌
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𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢
𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢⠀𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢
𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢⠀𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢

𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢 𔗢᪣𔗢𖥕𔗢᪣𔗢ᯜ𔗢᪣𔗢𖥕𔗢᪣𔗢 0.0118474958221645 25 304 288 982.2458 84.406022589954 0 ᯜ ᯜ 0 84.406022589954 25 304 288 982.2458 0.0118474958221645 0.0355424874664934 8 434 762 994.08195 28.135340863318 -1 ·ꔹᯜꔹ· ·ꔹᯜꔹ· -1 28.135340863318 8 434 762 994.08195 0.0355424874664934 0.10662746239948 2 811 587 664.69398 9.37844695443933 -2 ꞉ꔹᯜꔹ꞉ ꞉ꔹᯜꔹ꞉ -2 9.37844695443933 2 811 587 664.69398 0.10662746239948 0.319882387198441 937 195 888.231327 3.12614898481311 -3 ⋮ꔹᯜꔹ⋮ ⋮ꔹᯜꔹ⋮ -3 3.12614898481311 937 195 888.231327 0.319882387198441 0.959647161595322 312 398 629.410442 1.04204966160437 -4 ⁘ꔹᯜꔹ⁘ ⁘ꔹᯜꔹ⁘ -4 1.04204966160437 312 398 629.410442 0.959647161595322 2.87894148478597 104 132 876.470147 0.347349887201457 -5 ➭ꔹᯜꔹ➭ ➭ꔹᯜꔹ➭ -5 0.347349887201457 104 132 876.470147 2.87894148478597 8.6368244543579 34 710 958.8233825 0.115783295733819 -6 ⠿ꔹᯜꔹ⠿ ⠿ꔹᯜꔹ⠿ -6 0.115783295733819 34 710 958.8233825 8.6368244543579 25.9104733630737 11 570 319.6077942 0.038594431911273 -7 ❁🖵ፚꔹᯜꔹፚ🖵❁ ❁🖵ፚꔹᯜꔹፚ🖵❁ -7 0.038594431911273 11 570 319.6077942 25.9104733630737 77.7314200892211 3 856 773.20259805 0.012864810637091 -8 🖵❋ꔹᯜꔹ❋🖵 🖵❋ꔹᯜꔹ❋🖵 -8 0.012864810637091 3 856 773.20259805 77.7314200892211 233.194260267663 1 285 591.06753268 0.00428827021236366 -9 𐧟ꔹᯜꔹ𐧟 𐧟ꔹᯜꔹ𐧟 -9 0.00428827021236366 1 285 591.06753268 233.194260267663 699.58278080299 428 530.355844228 0.00142942340412122 -10 ⵔ·ⵔꔹᯜꔹⵔ·ⵔ ⵔ·ⵔꔹᯜꔹⵔ·ⵔ -10 0.00142942340412122 428 530.355844228 699.58278080299 2 098.74834240897 142 843.451948076 0.000476474468040407 -11 ···ꔹᯜꔹ··· ···ꔹᯜꔹ··· -11 0.000476474468040407 142 843.451948076 2 098.74834240897 6 296.24502722691 47 614.483982692 0.000158824822680136 -12 ꞉·꞉ꔹᯜꔹ꞉·꞉ ꞉·꞉ꔹᯜꔹ꞉·꞉ -12 0.000158824822680136 47 614.483982692 6 296.24502722691 18 888.7350816807 15 871.4946608973 0.0000529416075600452 -13 ⋮·⋮ꔹᯜꔹ⋮·⋮ ⋮·⋮ꔹᯜꔹ⋮·⋮ -13 0.0000529416075600452 15 871.4946608973 18 888.7350816807 56 666.2052450422 5 290.49822029912 0.0000176472025200151 -14 ⁘·⁘ꔹᯜꔹ⁘·⁘ ⁘·⁘ꔹᯜꔹ⁘·⁘ -14 0.0000176472025200151 5 290.49822029912 56 666.2052450422 169 998.615735127 1 763.49940676637 0.00000588240084000503 -15 -15 0.00000588240084000503 1 763.49940676637 169 998.615735127 509 995.84720538 587.83313558879 0.00000196080028000168 -16 -16 0.00000196080028000168 587.83313558879 509 995.84720538 1 529 987.54161614 195.944378529597 0.000000653600093333892 -17 -17 0.000000653600093333892 195.944378529597 1 529 987.54161614 4 589 962.62484842 65.3147928431989 0.000000217866697777964 -18 -18 0.000000217866697777964 65.3147928431989 4 589 962.62484842 13 769 887.8745452 21.7715976143996 0.0000000726222325926546 -19 -19 0.0000000726222325926546 21.7715976143996 13 769 887.8745452 41 309 663.6236357 7.25719920479988 0.0000000242074108642182 -20 -20 0.0000000242074108642182 7.25719920479988 41 309 663.6236357 123 928 990.870907 2.41906640159996 0.00000000806913695473941 -21 ⭥🚹⭥ ⭥🚹⭥ -21 0.00000000806913695473941 2.41906640159996 123 928 990.870907 371 786 972.612722 0.806355467199987 0.00000000268971231824647 -22 ⭀🚹⭀ ⭀🚹⭀ -22 0.00000000268971231824647 0.806355467199987 371 786 972.612722 1 115 360 917.83817 0.268785155733329 0.000000000896570772748823 -23 -23 0.000000000896570772748823 0.268785155733329 1 115 360 917.83817 3 346 082 753.5145 0.0895950519111097 0.000000000298856924249608 -24 ✻⯏Ⓞ◇⯏◇Ⓞ⯏✻⠀𖢄⠀⊻Ⓞ𖧷ꖅ⯏Ⓞ⊻🝊⊻Ⓞ⯏ꖅ𖧷Ⓞ⊻⠀𖢄⠀✻⯏Ⓞ◇⯏◇Ⓞ⯏✻ ✻⯏Ⓞ◇⯏◇Ⓞ⯏✻⠀𖢄⠀⊻Ⓞ𖧷ꖅ⯏Ⓞ⊻🝊⊻Ⓞ⯏ꖅ𖧷Ⓞ⊻⠀𖢄⠀✻⯏Ⓞ◇⯏◇Ⓞ⯏✻ -24 0.000000000298856924249608 0.0895950519111097 3 346 082 753.5145 10 038 248 260.5435 0.0298650173037032 0.0000000000996189747498692 -25 -25 0.0000000000996189747498692 0.0298650173037032 10 038 248 260.5435 30 114 744 781.6305 0.00995500576790107 0.0000000000332063249166231 -26 -26 0.0000000000332063249166231 0.00995500576790107 30 114 744 781.6305 90 344 234 344.8914 0.00331833525596702 0.0000000000110687749722077 -27 -27 0.0000000000110687749722077 0.00331833525596702 90 344 234 344.8914 271 032 703 034.674 0.00110611175198901 0.00000000000368959165740256 -28 -28 0.00000000000368959165740256 0.00110611175198901 271 032 703 034.674 813 098 109 104.022 0.000368703917329669 0.00000000000122986388580085 -29 -29 0.00000000000122986388580085 0.000368703917329669 813 098 109 104.022 2 439 294 327 312.07 0.000122901305776556 0.000000000000409954628600285 -30 -30 0.000000000000409954628600285 0.000122901305776556 2 439 294 327 312.07 7 317 882 981 936.2 0.0000409671019255188 0.000000000000136651542866762 -31 -31 0.000000000000136651542866762 0.0000409671019255188 7 317 882 981 936.2 21 953 648 945 808.6 0.0000136557006418396 0.0000000000000455505142889205 -32 -32 0.0000000000000455505142889205 0.0000136557006418396 21 953 648 945 808.6 65 860 946 837 425.8 0.00000455190021394654 0.0000000000000151835047629735 -33 -33 0.0000000000000151835047629735 0.00000455190021394654 65 860 946 837 425.8 197 582 840 512 277. 0.00000151730007131551 0.0000000000000050611682543245 -34 -34 0.0000000000000050611682543245 0.00000151730007131551 197 582 840 512 277. 592 748 521 536 832. 0.000000505766690438504 0.00000000000000168705608477483 -35 🟢 🟢 -35 0.00000000000000168705608477483 0.000000505766690438504 592 748 521 536 832.

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𖢒✺𖢒𞢚𖢒✺𖢒𔗢𖢒✺𖢒𞢚𖢒✺𖢒ᯜ𖢒✺𖢒𞢚𖢒✺𖢒𔗢𖢒✺𖢒𞢚𖢒✺𖢒 𖢒✺𖢒𞢚𖢒✺𖢒𔗢𖢒✺𖢒𞢚𖢒✺𖢒ᯜ𖢒✺𖢒𞢚𖢒✺𖢒𔗢𖢒✺𖢒𞢚𖢒✺𖢒
​◊୊◊◯◊୊◊⊚⚪⊚◊୊◊◯◊୊◊​᪣​🞊​᪣​𝆯​᪣​🞊​᪣​ ​᪣​🞊​᪣​𝆯​᪣​🞊​᪣​◊୊◊◯◊୊◊⊚⚪⊚◊୊◊◯◊୊◊​
​◊୊◊◯◊୊◊⊚⚪⊚◊୊◊◯◊୊◊​᪣​🞊​᪣​𝆯​᪣​🞊​᪣​ ​᪣​🞊​᪣​𝆯​᪣​🞊​᪣​◊୊◊◯◊୊◊⊚⚪⊚◊୊◊◯◊୊◊​

I=9

\sum{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left((2x-1)-\frac{\operatorname{floor}(x\cdot3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right}

\sum{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left(x-\frac{\operatorname{floor}((0.5x+0.5)3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{n}\right),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

\sum{n=1}^{I}\left(\sin\left(\pi(2x-1)\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right}

\sum{n=1}^{I}\left(\sin\left(\pi x\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{n}\right),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

·desmos.com·
​◊୊◊◯◊୊◊⊚⚪⊚◊୊◊◯◊୊◊​᪣​🞊​᪣​𝆯​᪣​🞊​᪣​ ​᪣​🞊​᪣​𝆯​᪣​🞊​᪣​◊୊◊◯◊୊◊⊚⚪⊚◊୊◊◯◊୊◊​
𔗢ꔹ𔗢ᯜ𔗢ꔹ𔗢⠀𔗢ꔹ𔗢ᯜ𔗢ꔹ𔗢
𔗢ꔹ𔗢ᯜ𔗢ꔹ𔗢⠀𔗢ꔹ𔗢ᯜ𔗢ꔹ𔗢

I=9

\sum{n=1}^{I}\left(\sin\left(\pi(2x-1)\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right} \sum{n=1}^{I}\left(\sin\left(\pi x\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{n}\right),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

\sum{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left((2x-1)-\frac{\operatorname{floor}(x\cdot3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right} \sum{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left(x-\frac{\operatorname{floor}((0.5x+0.5)3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{n}\right),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

·desmos.com·
𔗢ꔹ𔗢ᯜ𔗢ꔹ𔗢⠀𔗢ꔹ𔗢ᯜ𔗢ꔹ𔗢
​ ⠀𖀞𖥕𖀞⠀ ◊୊◊◯◊୊◊⠀ ⠀◊୊◊◯◊୊◊ ⠀𖀞𖥕𖀞⠀ ​
​ ⠀𖀞𖥕𖀞⠀ ◊୊◊◯◊୊◊⠀ ⠀◊୊◊◯◊୊◊ ⠀𖀞𖥕𖀞⠀ ​

I=2

g(n)=\sum_{k=0}^{I}\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left(n/3^{k}\right),3\right)\right|\right)

0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26

0,1,0,1,2,1,0,1,0,1,2,1,2,3,2,1,2,1,0,1,0,1,2,1,0,1,0

·desmos.com·
​ ⠀𖀞𖥕𖀞⠀ ◊୊◊◯◊୊◊⠀ ⠀◊୊◊◯◊୊◊ ⠀𖀞𖥕𖀞⠀ ​
𖣠⚪𑜇Ⓞ𖧷ⵙ⊻​⛋​🝊✞Ⓞ⯏⚪𖣓⚪𑜇Ⓞⵙ✢⯏𑜇𐫱𖥠⚪◯⚪𑜇Ⓞⵙ✢​⛋​◇Ⓞ🝊⊻ꖅ✢𑜇ⵙ⚪𖢌⚪𓊗⚪𖣠⚪𔗢⚪𖡌⚪𔗢⚪🞋⚪𔗢⚪𖡌⚪𔗢⚪𖣠⚪𓊗⚪𖢌⚪ⵙ𑜇✢ꖅ⊻🝊Ⓞ◇​⛋​✢ⵙⓄ𑜇⚪◯⚪𖥠𐫱𑜇⯏✢ⵙⓄ𑜇⚪𖣓⚪⯏Ⓞ✞🝊​⛋​⊻ⵙ𖧷Ⓞ𑜇⚪𖣠
𖣠⚪𑜇Ⓞ𖧷ⵙ⊻​⛋​🝊✞Ⓞ⯏⚪𖣓⚪𑜇Ⓞⵙ✢⯏𑜇𐫱𖥠⚪◯⚪𑜇Ⓞⵙ✢​⛋​◇Ⓞ🝊⊻ꖅ✢𑜇ⵙ⚪𖢌⚪𓊗⚪𖣠⚪𔗢⚪𖡌⚪𔗢⚪🞋⚪𔗢⚪𖡌⚪𔗢⚪𖣠⚪𓊗⚪𖢌⚪ⵙ𑜇✢ꖅ⊻🝊Ⓞ◇​⛋​✢ⵙⓄ𑜇⚪◯⚪𖥠𐫱𑜇⯏✢ⵙⓄ𑜇⚪𖣓⚪⯏Ⓞ✞🝊​⛋​⊻ⵙ𖧷Ⓞ𑜇⚪𖣠

O=84.406022589954030768899117092091000289089388918088900852079

U=3

T=3.1261489848131122506999672997070740847810884784477370685955185

\Lambda\left(x\right)=\operatorname{abs}(\operatorname{mod}(x/2-.5,1)-.5)*2

\Pi\left(x\right)=-\cos(\pi*x)/2+.5

\Omega\left(x\right)=(-1)^{\operatorname{floor}((x-.5)/1)}\cdot(1-\operatorname{abs}(\operatorname{mod}((x-.5)*2,2)-1)^{2})^{(1/2)}/2+.5

\Theta\left(x\right)=(-(0-(-1)^{\operatorname{floor}(x/1+.0)}(\exp(-1/(x-(1)\operatorname{floor}(x/(1))))/(\exp(-1/(x-(1)\operatorname{floor}(x/(1))))+\exp(-1/(1-(x-(1)\operatorname{floor}(x/(1)))))))+(-1)^{\operatorname{floor}(x/1+.0)}(\exp(-1/(1-(x-(1)\operatorname{floor}(x/(1)))))/(\exp(-1/(x-(1)\operatorname{floor}(x/(1))))+\exp(-1/(1-(x-(1)\operatorname{floor}(x/(1))))))))/2+.5)

M=3

\Lambda\left(\frac{T}{O}\cdot3^{M}\right)\cdot\Lambda\left(x\right)

\Pi\left(\frac{T}{O}\cdot3^{M}\right)\cdot\Pi\left(x\right)

\Omega\left(\frac{T}{O}\cdot3^{M}\right)\cdot\Omega\left(x\right)

\Theta\left(\frac{T}{O}\cdot3^{M}\right)\cdot\Theta\left(x\right)

A=0

V=0

W=13

\operatorname{tone}\left(\frac{1}{O}\cdot U^{\frac{\left[V\cdot U^{A}...W\cdot U^{A}\right]}{U^{A}}},\frac{\Pi\left(\frac{T}{O}\cdot3^{3}\right)}{3^{3}}\right)

·desmos.com·
𖣠⚪𑜇Ⓞ𖧷ⵙ⊻​⛋​🝊✞Ⓞ⯏⚪𖣓⚪𑜇Ⓞⵙ✢⯏𑜇𐫱𖥠⚪◯⚪𑜇Ⓞⵙ✢​⛋​◇Ⓞ🝊⊻ꖅ✢𑜇ⵙ⚪𖢌⚪𓊗⚪𖣠⚪𔗢⚪𖡌⚪𔗢⚪🞋⚪𔗢⚪𖡌⚪𔗢⚪𖣠⚪𓊗⚪𖢌⚪ⵙ𑜇✢ꖅ⊻🝊Ⓞ◇​⛋​✢ⵙⓄ𑜇⚪◯⚪𖥠𐫱𑜇⯏✢ⵙⓄ𑜇⚪𖣓⚪⯏Ⓞ✞🝊​⛋​⊻ⵙ𖧷Ⓞ𑜇⚪𖣠
​ ​𓇬◊୊◊◯◊୊◊𞢚🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𖢄🟗ⵙ◇⯏𐫱ꖅ𐫱⯏◇ⵙ🟗𖢄🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𞢚◊୊◊◯◊୊◊𓇬​ ​𓇬◊୊◊◯◊୊◊𞢚🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𖢄🟗ⵙ◇⯏𐫱ꖅ𐫱⯏◇ⵙ🟗𖢄🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𞢚◊୊◊◯◊୊◊𓇬​ ​
​ ​𓇬◊୊◊◯◊୊◊𞢚🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𖢄🟗ⵙ◇⯏𐫱ꖅ𐫱⯏◇ⵙ🟗𖢄🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𞢚◊୊◊◯◊୊◊𓇬​ ​𓇬◊୊◊◯◊୊◊𞢚🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𖢄🟗ⵙ◇⯏𐫱ꖅ𐫱⯏◇ⵙ🟗𖢄🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𞢚◊୊◊◯◊୊◊𓇬​ ​

I=16

O=16

\left[F\left(\left{j\le i:\frac{\frac{\sqrt{O}}{2}\cos\left(\frac{\pi}{O}\right)}{3\left(i+1\right)}f\left(\operatorname{mod}\left(Ot,1\right)\right)+\left(\sqrt{O}\left(\frac{j}{i+1}-\frac{1}{2}\right),\frac{\sqrt{O}}{2}\cot\left(\frac{\pi}{O}\right)\left(\frac{2}{i+1}-1\right)\right)\right},\frac{\operatorname{floor}\left(Ot\right)}{O}\right)\operatorname{for}\ i=\left[1...I\right],j=\left[1...I\right]\right]\sin\left(\frac{\pi}{O}\right)

f\left(t\right)=\left(\cos\left(\tau t\right),\sin\left(\tau t\right)\right)

F\left(T,t\right)=\left(f\left(t\right).xT.x-f\left(t\right).yT.y,f\left(t\right).yT.x+f\left(t\right).xT.y\right)

\Lambda=\operatorname{rgb}\left(0,244,124\right)

I=27

O=4

\left[F\left(\left{j\le i:\frac{1}{15\left(i+1\right)}f\left(\operatorname{mod}\left(Ot,1\right)\right)+\left(\sqrt{O}\left(\frac{j}{i+1}-\frac{1}{2}\right),1\left(\frac{2}{i+1}-1\right)\right)\right},\frac{\operatorname{floor}\left(Ot\right)}{O}\right)\operatorname{for}\ i=\left[1...I\right],j=\left[1...I\right]\right]

f\left(t\right)=\left(\cos\left(\tau t\right),\sin\left(\tau t\right)\right)

F\left(T,t\right)=\left(f\left(t\right).xT.x-f\left(t\right).yT.y,f\left(t\right).yT.x+f\left(t\right).xT.y\right)

\Lambda=\operatorname{rgb}\left(0,244,124\right)

·desmos.com·
​ ​𓇬◊୊◊◯◊୊◊𞢚🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𖢄🟗ⵙ◇⯏𐫱ꖅ𐫱⯏◇ⵙ🟗𖢄🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𞢚◊୊◊◯◊୊◊𓇬​ ​𓇬◊୊◊◯◊୊◊𞢚🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𖢄🟗ⵙ◇⯏𐫱ꖅ𐫱⯏◇ⵙ🟗𖢄🟗⊻⛋⊞⯏⊻Ⓞ⊻⯏⊞⛋⊻🟗𞢚◊୊◊◯◊୊◊𓇬​ ​
𖢚⎈​𖢄​◊୊◊◯◊୊◊⊚⚪᪣🞊𝆯 𝆯🞊᪣⚪⊚◊୊◊◯◊୊◊​𖢄​⎈𖢚
𖢚⎈​𖢄​◊୊◊◯◊୊◊⊚⚪᪣🞊𝆯 𝆯🞊᪣⚪⊚◊୊◊◯◊୊◊​𖢄​⎈𖢚

\left[V\cdot U^{A}...W\cdot U^{A}\right]

\frac{U^{\frac{\left[V\cdot U^{A}...W\cdot U^{A}\right]}{U^{A}}}}{O}

\frac{O}{U^{\frac{\left[V\cdot U^{A}...W\cdot U^{A}\right]}{U^{A}}}}

\frac{299792458*O}{U^{\frac{\left[V\cdot U^{A}...W\cdot U^{A}\right]}{U^{A}}}}

O=84.406022589954030768899117092091000289089388918088900852079

\operatorname{tone}\left(\frac{U^{\frac{\left[V\cdot U^{A}...W\cdot U^{A}\right]}{U^{A}}}}{O},\frac{1}{3^{3}}\right)

V=0

W=14

I=2

A=0

U=3

𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◊୊◊◯◊୊◊⠀       ⠀◊୊◊◯◊୊◊ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠  

2224aba9021ↄ-4fad-0814-aმԐb-8b49àšŸd9b\noitavirɘb-ɘlaↄƚ-ɘviÆšnɘhɘrqmoↄ-a-ɘmit-ɘuqinu-nwo-htiw-ɘƚrɘvinu-laↄiÆšyhq-ɘht-ϱniqqam𝌃raqƚԐ44:ia.𝌃raqÆšnɘϱ.www\:Æšqtth\9Ԑ-91Ԑ1-მ270-àšŸ202\fɘrÏœT.OYꓚ\:ꟌTTH HTTP://GYO.TC/ref/2025-0726-1319-39/https://www.genspark.ai:443/spark/mapping-the-physical-universe-with-own-unique-time-a-comprehensive-scale-derivation/d9b594d8-d36a-4180-baf4-c1209ada4222 1dbb17daÉ˜àšŸ44-81b9-79ɘ4-áƒ›Ôáƒ›àšŸ-8ÔàšŸ72Ԑa1=bi?𝌃raqƚԐ44:ia.𝌃raqÆšnɘϱ.www\:Æšqtth\82-9àšŸ40-82მ0-àšŸ202\fɘrÏœT.OYꓚ\:ꟌTTH HTTP://GYO.TC/ref/2025-0628-0459-28/https://www.genspark.ai:443/spark?id=1a327538-5636-4e97-9d18-445eab71ddb1 ⅃MTH.⅃ᗡxᗡoმb⅃ꟻꞰdUɘЯmᗡUXiàšŸrᗺƚ⅃u𝌃9\lru-trohƚƚbaolqu\tɘn.ɘrutuflatↄarf.murof\:Æšqtth\9àšŸ1141-01.10.მ202\HꟌ.ƎVIHϜЯA\:ꟌTTH HTTP://ARCHIVE.PH/2026.01.10-141159/https://forum.fractalfuture.net/uploads/short-url/9kuLsBr5iXUDmReUbKFLd6oDxDL.HTML 1dbb17daÉ˜àšŸ44-81b9-79ɘ4-áƒ›Ôáƒ›àšŸ-8ÔàšŸ72Ԑa1=bi?𝌃raqƚԐ44:ia.𝌃raqÆšnɘϱ.www\:Æšqtth\82-9àšŸ40-82მ0-àšŸ202\fɘrÏœT.OYꓚ\:ꟌTTH HTTP://GYO.TC/ref/2025-0628-0459-28/https://www.genspark.ai:443/spark?id=1a327538-5636-4e97-9d18-445eab71ddb1 2224aba9021ↄ-4fad-0814-aმԐb-8b49àšŸd9b\noitavirɘb-ɘlaↄƚ-ɘviÆšnɘhɘrqmoↄ-a-ɘmit-ɘuqinu-nwo-htiw-ɘƚrɘvinu-laↄiÆšyhq-ɘht-ϱniqqam𝌃raqƚԐ44:ia.𝌃raqÆšnɘϱ.www\:Æšqtth\9Ԑ-91Ԑ1-მ270-àšŸ202\fɘrÏœT.OYꓚ\:ꟌTTH HTTP://GYO.TC/ref/2025-0726-1319-39/https://www.genspark.ai:443/spark/mapping-the-physical-universe-with-own-unique-time-a-comprehensive-scale-derivation/d9b594d8-d36a-4180-baf4-c1209ada4222  

𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠 ◊୊◊◯◊୊◊⠀       ⠀◊୊◊◯◊୊◊ 𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠  

â ¿â ¿ Y{66}+\frac{3}{2\sqrt{3}}=-\frac{\sin(\pi*\left(X{66}-\frac{1}{2}\right)*\left(U^{\left(A+1\right)}\right)^{\left[0...I\right]})/\left(U^{\left(A+1\right)}\right)^{\left[0...I\right]}\left{-\frac{1}{2}<X_{66}<\frac{1}{2}\right}}{\sqrt{3}\pi}

Y{66}+\frac{3}{2\sqrt{3}}=\frac{\sin(\pi*\left(X{66}-\frac{1}{2}\right)*\left(U^{\left(A+1\right)}\right)^{\left[0...I\right]})/\left(U^{\left(A+1\right)}\right)^{\left[0...I\right]}\left{-\frac{1}{2}<X_{66}<\frac{1}{2}\right}}{\sqrt{3}\pi}

Y{66}=-x\sin A{66}+y\cos A_{66}

X{66}=x\cos A{66}+y\sin A_{66}

A_{66}=\frac{90\pi}{180}

H=\operatorname{rgb}\left(0,244,124\right)

X=\operatorname{rgb}\left(255,11,131\right)

·desmos.com·
𖢚⎈​𖢄​◊୊◊◯◊୊◊⊚⚪᪣🞊𝆯 𝆯🞊᪣⚪⊚◊୊◊◯◊୊◊​𖢄​⎈𖢚
✜​𖢄​◊୊◊◯◊୊◊⊚⚪᪣🞊𝆯⠀𝆯🞊᪣⚪⊚◊୊◊◯◊୊◊​𖢄​✜
✜​𖢄​◊୊◊◯◊୊◊⊚⚪᪣🞊𝆯⠀𝆯🞊᪣⚪⊚◊୊◊◯◊୊◊​𖢄​✜
·desmos.com·
✜​𖢄​◊୊◊◯◊୊◊⊚⚪᪣🞊𝆯⠀𝆯🞊᪣⚪⊚◊୊◊◯◊୊◊​𖢄​✜
ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ⠀ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ⠀ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ⊚⚪᪣🞊𝆯 𝆯🞊᪣⚪⊚ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ⠀ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ⠀ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ
ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ⠀ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ⠀ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ⊚⚪᪣🞊𝆯 𝆯🞊᪣⚪⊚ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ⠀ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ⠀ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ

y=\frac{\left(.5-.5\cos(\pi*x\cdot2\cdot2^{\left[0...I\right]})\ \right)}{2\cdot.5\pi\left(2^{\left[0...I\right]}\right)^{2}}\left{-1<x<1\right}

y=-\frac{\left(.5-.5\cos(\pi*x\cdot2\cdot2^{\left[0...I\right]})\ \right)}{2\cdot.5\pi\left(2^{\left[0...I\right]}\right)^{2}}\left{-1<x<1\right}

x=\frac{\left(.5-.5\cos(\pi*y\cdot2\cdot2^{\left[0...I\right]})\ \right)}{2\cdot.5\pi\left(2^{\left[0...I\right]}\right)^{2}}\left{-1<y<1\right}

x=-\frac{\left(.5-.5\cos(\pi*y\cdot2\cdot2^{\left[0...I\right]})\ \right)}{2\cdot.5\pi\left(2^{\left[0...I\right]}\right)^{2}}\left{-1<y<1\right}

y=-\frac{\sin(\pix3^{\left[0...I\right]})/3^{\left[0...I\right]}\left{-1<x<1\right}}{\pi}

y=\frac{\sin(\pix3^{\left[0...I\right]})/3^{\left[0...I\right]}\left{-1<x<1\right}}{\pi}

x=-\frac{\sin(\piy3^{\left[0...I\right]})/3^{\left[0...I\right]}\left{-1<y<1\right}}{\pi}

x=\frac{\sin(\piy3^{\left[0...I\right]})/3^{\left[0...I\right]}\left{-1<y<1\right}}{\pi}

I=3

·desmos.com·
ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ⠀ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ⠀ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ⊚⚪᪣🞊𝆯 𝆯🞊᪣⚪⊚ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ⠀ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ ᯜ⠀ᯜ◊ᯜ୊ᯜ◊ᯜ◯ᯜ◊ᯜ୊ᯜ◊ᯜ
𖣠⚪⟠⊚ИNⓄᔓᔕꖎᎥᗩߊᙏⓄᑐᑕ⚪𖣓⚪ИNⓄꖎ✀ᗩᙏꖎꕀⓄᎥߊᗩ⚪𖣓⚪ᔓᔕᑎꖎ⚭ᗩꗳ⚪𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⚪ꗳᗩ⚭ꖎᑎᔓᔕ⚪𖣓⚪ᗩߊᎥⓄꕀꖎᙏᗩ✀ꖎⓄИN⚪𖣓⚪ᑐᑕⓄᙏߊᗩᎥꖎᔓᔕⓄИN⊚⟠⚪𖣠
𖣠⚪⟠⊚ИNⓄᔓᔕꖎᎥᗩߊᙏⓄᑐᑕ⚪𖣓⚪ИNⓄꖎ✀ᗩᙏꖎꕀⓄᎥߊᗩ⚪𖣓⚪ᔓᔕᑎꖎ⚭ᗩꗳ⚪𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⚪ꗳᗩ⚭ꖎᑎᔓᔕ⚪𖣓⚪ᗩߊᎥⓄꕀꖎᙏᗩ✀ꖎⓄИN⚪𖣓⚪ᑐᑕⓄᙏߊᗩᎥꖎᔓᔕⓄИN⊚⟠⚪𖣠
·desmos.com·
𖣠⚪⟠⊚ИNⓄᔓᔕꖎᎥᗩߊᙏⓄᑐᑕ⚪𖣓⚪ИNⓄꖎ✀ᗩᙏꖎꕀⓄᎥߊᗩ⚪𖣓⚪ᔓᔕᑎꖎ⚭ᗩꗳ⚪𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⚪ꗳᗩ⚭ꖎᑎᔓᔕ⚪𖣓⚪ᗩߊᎥⓄꕀꖎᙏᗩ✀ꖎⓄИN⚪𖣓⚪ᑐᑕⓄᙏߊᗩᎥꖎᔓᔕⓄИN⊚⟠⚪𖣠
𖣠⚪ИNⓄᔓᔕꖎᎥᗩߊᙏⓄᑐᑕ⚪𖣓⚪ИNⓄꖎ✀ᗩᙏꖎꕀⓄᎥߊᗩ⚪𖣓⚪ᔓᔕᑎꖎ⚭ᗩꗳ⚪𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⚪ꗳᗩ⚭ꖎᑎᔓᔕ⚪𖣓⚪ᗩߊᎥⓄꕀꖎᙏᗩ✀ꖎⓄИN⚪𖣓⚪ᑐᑕⓄᙏߊᗩᎥꖎᔓᔕⓄИN⚪𖣠
𖣠⚪ИNⓄᔓᔕꖎᎥᗩߊᙏⓄᑐᑕ⚪𖣓⚪ИNⓄꖎ✀ᗩᙏꖎꕀⓄᎥߊᗩ⚪𖣓⚪ᔓᔕᑎꖎ⚭ᗩꗳ⚪𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⚪ꗳᗩ⚭ꖎᑎᔓᔕ⚪𖣓⚪ᗩߊᎥⓄꕀꖎᙏᗩ✀ꖎⓄИN⚪𖣓⚪ᑐᑕⓄᙏߊᗩᎥꖎᔓᔕⓄИN⚪𖣠

I=\left[2...3\right]

\Phi_{0}\left(x\right)=\frac{\max\left(x,0\right)^{8}}{8!}

\Phi{1}\left(x\right)=I^{1}\left(\Phi{0}\left(x\right)-\Phi_{0}\left(x-I^{-1}\right)\right)

\Phi{2}\left(x\right)=I^{2}\left(\Phi{1}\left(x\right)-\Phi_{1}\left(x-I^{-2}\right)\right)

\Phi{3}\left(x\right)=I^{3}\left(\Phi{2}\left(x\right)-\Phi_{2}\left(x-I^{-3}\right)\right)

\Phi{4}\left(x\right)=I^{4}\left(\Phi{3}\left(x\right)-\Phi_{3}\left(x-I^{-4}\right)\right)

\Phi{5}\left(x\right)=I^{5}\left(\Phi{4}\left(x\right)-\Phi_{4}\left(x-I^{-5}\right)\right)

\Phi{6}\left(x\right)=I^{6}\left(\Phi{5}\left(x\right)-\Phi_{5}\left(x-I^{-6}\right)\right)

\Phi{7}\left(x\right)=I^{7}\left(\Phi{6}\left(x\right)-\Phi_{6}\left(x-I^{-7}\right)\right)

\Phi{8}\left(x\right)=I^{8}\left(\Phi{7}\left(x\right)-\Phi_{7}\left(x-I^{-8}\right)\right)

O\left(x\right)=\Phi_{8}\left(\frac{\left(x-I^{-9}\right)}{I-1}\right)

A\left(x\right)=1/(\exp\left(1/x+1/(x-1))+1)\right)

·desmos.com·
𖣠⚪ИNⓄᔓᔕꖎᎥᗩߊᙏⓄᑐᑕ⚪𖣓⚪ИNⓄꖎ✀ᗩᙏꖎꕀⓄᎥߊᗩ⚪𖣓⚪ᔓᔕᑎꖎ⚭ᗩꗳ⚪𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⚪ꗳᗩ⚭ꖎᑎᔓᔕ⚪𖣓⚪ᗩߊᎥⓄꕀꖎᙏᗩ✀ꖎⓄИN⚪𖣓⚪ᑐᑕⓄᙏߊᗩᎥꖎᔓᔕⓄИN⚪𖣠
𖢌➭❋ⵔⵔ𐧟❋❋ⵔ❋·𐧟❋❋ⵈ𐧟❋ⵔ𐧟❋∶ⵔⵔⵔ·𐧟ⵔ∶𐧟ⵔ𐧌··𐧟𐧟❋❋⠿𐧌ⵔⵈⵔ⁘➭𐧟𐧟❋➭∶∶ⵔ⠿ⵔ⁘◌⁘❋⁘◌⁘ⵔ⠿ⵔ∶∶➭❋𐧟𐧟➭⁘ⵔⵈⵔ𐧌⠿❋❋𐧟𐧟··𐧌ⵔ𐧟∶ⵔ𐧟·ⵔⵔⵔ∶❋𐧟ⵔ❋𐧟ⵈ❋❋𐧟·❋ⵔ❋❋𐧟ⵔⵔ❋➭𖢌
𖢌➭❋ⵔⵔ𐧟❋❋ⵔ❋·𐧟❋❋ⵈ𐧟❋ⵔ𐧟❋∶ⵔⵔⵔ·𐧟ⵔ∶𐧟ⵔ𐧌··𐧟𐧟❋❋⠿𐧌ⵔⵈⵔ⁘➭𐧟𐧟❋➭∶∶ⵔ⠿ⵔ⁘◌⁘❋⁘◌⁘ⵔ⠿ⵔ∶∶➭❋𐧟𐧟➭⁘ⵔⵈⵔ𐧌⠿❋❋𐧟𐧟··𐧌ⵔ𐧟∶ⵔ𐧟·ⵔⵔⵔ∶❋𐧟ⵔ❋𐧟ⵈ❋❋𐧟·❋ⵔ❋❋𐧟ⵔⵔ❋➭𖢌
·desmos.com·
𖢌➭❋ⵔⵔ𐧟❋❋ⵔ❋·𐧟❋❋ⵈ𐧟❋ⵔ𐧟❋∶ⵔⵔⵔ·𐧟ⵔ∶𐧟ⵔ𐧌··𐧟𐧟❋❋⠿𐧌ⵔⵈⵔ⁘➭𐧟𐧟❋➭∶∶ⵔ⠿ⵔ⁘◌⁘❋⁘◌⁘ⵔ⠿ⵔ∶∶➭❋𐧟𐧟➭⁘ⵔⵈⵔ𐧌⠿❋❋𐧟𐧟··𐧌ⵔ𐧟∶ⵔ𐧟·ⵔⵔⵔ∶❋𐧟ⵔ❋𐧟ⵈ❋❋𐧟·❋ⵔ❋❋𐧟ⵔⵔ❋➭𖢌
≎◊≎୊≎◊≎◯≎◊≎୊≎◊≎⠀≎ ≎ ≎ ≎ ≎ ≎ ≎ ≎⠀≎◊≎୊≎◊≎◯≎◊≎୊≎◊≎
≎◊≎୊≎◊≎◯≎◊≎୊≎◊≎⠀≎ ≎ ≎ ≎ ≎ ≎ ≎ ≎⠀≎◊≎୊≎◊≎◯≎◊≎୊≎◊≎

I=9

\sum{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left((2x-1)-\frac{\operatorname{floor}(x\cdot3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right}

\sum{n=1}^{I}\left(\left(0.5-0.5\cos\left(\pi\cdot3^{n}\cdot\left(x-\frac{\operatorname{floor}((0.5x+0.5)3^{n})}{3^{n}}\right)\right)\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{n}\right),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

\sum{n=1}^{I}\left(\sin\left(\pi(2x-1)\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{n}),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}(x\cdot3^{k}),3\right)\right|\right)\left{0<x<1\right}

\sum{n=1}^{I}\left(\sin\left(\pi x\cdot3^{n}\right)\cdot\left(1-\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{n}\right),3\right)\right|\right)\cdot\prod{k=1}^{n-1}\left|1-\operatorname{mod}\left(\operatorname{floor}\left((0.5x+0.5)\cdot3^{k}\right),3\right)\right|\right)\left{-1<x<1\right}

·desmos.com·
≎◊≎୊≎◊≎◯≎◊≎୊≎◊≎⠀≎ ≎ ≎ ≎ ≎ ≎ ≎ ≎⠀≎◊≎୊≎◊≎◯≎◊≎୊≎◊≎
⊿✣ᗱᗎߊᎥᗩᑐᑕ⊿ⵙ✻ᔓᔕИNⵙߊᎥᗱᗎⵙᔓᔕ⊿ↀᗱᗎ✣ᎥᗱᗎᗯИNⵙ𖣠◊୊◊⚪◊୊◊◯◊୊◊⚪◊୊◊⠀⠀⠀⠀⠀ ⚪ ⠀⠀⠀⠀⠀◊୊◊⚪◊୊◊◯◊୊◊⚪◊୊◊𖣠ⵙИNᗯᗱᗎᎥ✣ᗱᗎↀ⊿ᔓᔕⵙᗱᗎᎥߊⵙИNᔓᔕ✻ⵙ⊿ᑐᑕᗩᎥߊᗱᗎ✣⊿
⊿✣ᗱᗎߊᎥᗩᑐᑕ⊿ⵙ✻ᔓᔕИNⵙߊᎥᗱᗎⵙᔓᔕ⊿ↀᗱᗎ✣ᎥᗱᗎᗯИNⵙ𖣠◊୊◊⚪◊୊◊◯◊୊◊⚪◊୊◊⠀⠀⠀⠀⠀ ⚪ ⠀⠀⠀⠀⠀◊୊◊⚪◊୊◊◯◊୊◊⚪◊୊◊𖣠ⵙИNᗯᗱᗎᎥ✣ᗱᗎↀ⊿ᔓᔕⵙᗱᗎᎥߊⵙИNᔓᔕ✻ⵙ⊿ᑐᑕᗩᎥߊᗱᗎ✣⊿
·desmos.com·
⊿✣ᗱᗎߊᎥᗩᑐᑕ⊿ⵙ✻ᔓᔕИNⵙߊᎥᗱᗎⵙᔓᔕ⊿ↀᗱᗎ✣ᎥᗱᗎᗯИNⵙ𖣠◊୊◊⚪◊୊◊◯◊୊◊⚪◊୊◊⠀⠀⠀⠀⠀ ⚪ ⠀⠀⠀⠀⠀◊୊◊⚪◊୊◊◯◊୊◊⚪◊୊◊𖣠ⵙИNᗯᗱᗎᎥ✣ᗱᗎↀ⊿ᔓᔕⵙᗱᗎᎥߊⵙИNᔓᔕ✻ⵙ⊿ᑐᑕᗩᎥߊᗱᗎ✣⊿
▫⩩🞓⩩▫
▫⩩🞓⩩▫

\Xi=\operatorname{rgb}\left(0,244,124\right)

\Theta=\operatorname{rgb}\left(255,255,255\right)

H=\operatorname{rgb}\left(0,255,255\right)

\Phi\left(x\right)=x-\operatorname{floor}\left(x\right)

O=3

\left(1-\prod_{I=0}^{O}\left(\operatorname{sign}\left(\left(\min\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{2\cdot3^{2}}\right)\right)+1\right)\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

1-\prod_{I=0}^{0}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

1-\prod_{I=0}^{O}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

·desmos.com·
▫⩩🞓⩩▫
▫▫▫🞓▫▫▫
▫▫▫🞓▫▫▫

\Phi\left(x\right)=x-\operatorname{floor}\left(x\right)

\Xi=\operatorname{rgb}\left(0,244,124\right)

O=3

1-\prod_{I=0}^{O}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

\min\left(1-\prod{I=0}^{O}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right),1-\prod{I=0}^{0}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right)\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

\min\left(1-\prod_{I=0}^{3}\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{I}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{I}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right),1-\left(\operatorname{sign}\left(\left(\max\left(\left|\Phi\left(3^{3}\left(x-.5\right)\right)-.5\right|,\left|\Phi\left(3^{3}\left(y-.5\right)\right)-.5\right|\right)-\frac{1}{6}\right)\right)+0\right)\right)\ge0\left{-.5<x<.5\right}\left{-.5<y<.5\right}

·desmos.com·
▫▫▫🞓▫▫▫
𖣠⚪ИNⓄⵙ✣ᗩ⎵ⵙᙁᗩ✣ᑐᑕᗩᎥꗳ𖣠ИNⓄⵙ✀ᑐᑕИNᑎꗳ𖡹⚪𔗢⚪🞋⚪𔗢⚪𖡹ꗳᑎИNᑐᑕ✀ⵙⓄИN𖣠ꗳᎥᗩᑐᑕ✣ᗩᙁⵙ⎵ᗩ✣ⵙⓄИN⚪𖣠
𖣠⚪ИNⓄⵙ✣ᗩ⎵ⵙᙁᗩ✣ᑐᑕᗩᎥꗳ𖣠ИNⓄⵙ✀ᑐᑕИNᑎꗳ𖡹⚪𔗢⚪🞋⚪𔗢⚪𖡹ꗳᑎИNᑐᑕ✀ⵙⓄИN𖣠ꗳᎥᗩᑐᑕ✣ᗩᙁⵙ⎵ᗩ✣ⵙⓄИN⚪𖣠

C\left(x,A,M\right)=\max(A,\min(M,x))

\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5*\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi}

\Phi_{1}\left(x\right)=0.5-0.5\cos(x\pi)

\Phi{2}\left(x\right)=\operatorname{round}(\Phi{1}(x)*3)/3

\Phi_{3}\left(x\right)=((((.5-.5(\cos(C(x,0,\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi})\frac{\pi}{\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi}}))))))/3

\Phi_{4}\left(x\right)=(((((.5-.5(\cos((C(x,\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi},1-\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi})-(\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi}))\ \frac{\pi}{(1-2\cdot\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi})}))))))/3)+1/3

\Phi_{5}(x)=(((((.5-.5(\cos((C(x,1-\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi},1)-(\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi})-(1-2\cdot\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi}))\frac{\pi}{\frac{\arccos\left(\frac{\operatorname{round}\left(\left(0.5-0.5\cos(\pi\ \cdot\frac{1}{3})\right)\cdot3\right)}{3}\right)}{\pi}}))))))/3)+1/3+1/3

\Phi{6}\left(x\right)=\Phi{3}\left(x\right)+\Phi{4}\left(x\right)+\Phi{5}\left(x\right)-1

I\left(x\right)=(-1)^{\operatorname{floor}(x)}\cdot(\Phi_{6}(\operatorname{mod}(x/1,1))-.5)+.5

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𖣠⚪ИNⓄⵙ✣ᗩ⎵ⵙᙁᗩ✣ᑐᑕᗩᎥꗳ𖣠ИNⓄⵙ✀ᑐᑕИNᑎꗳ𖡹⚪𔗢⚪🞋⚪𔗢⚪𖡹ꗳᑎИNᑐᑕ✀ⵙⓄИN𖣠ꗳᎥᗩᑐᑕ✣ᗩᙁⵙ⎵ᗩ✣ⵙⓄИN⚪𖣠
𖣠⚪ᔓᔕᎥᗱᗎᙁᑐᑕ᚟ᑐᑕ𖣓ИNⓄⵙ✀ᑐᑕИNᑎꗳ⚪𔗢⚪🞋⚪𔗢⚪ꗳᑎИNᑐᑕ✀ⵙⓄИN𖣓ᑐᑕ᚟ᑐᑕᙁᗱᗎᎥᔓᔕ⚪𖣠
𖣠⚪ᔓᔕᎥᗱᗎᙁᑐᑕ᚟ᑐᑕ𖣓ИNⓄⵙ✀ᑐᑕИNᑎꗳ⚪𔗢⚪🞋⚪𔗢⚪ꗳᑎИNᑐᑕ✀ⵙⓄИN𖣓ᑐᑕ᚟ᑐᑕᙁᗱᗎᎥᔓᔕ⚪𖣠

C\left(x,A,I\right)=\max(A,\min(I,x))

\Phi_{1}=0.25

\Phi{2}\left(x\right)=C(\Phi{1}\left(x\right)*(1-((C(x,(1-\Phi{1}(x)),1)-1)/\Phi{1}(x))^{2})^{(1/2)}+(1-\Phi_{1}(x)),0,1)

\Phi{3}\left(x\right)=(1-\Phi{1}(x))*(1-(1-(C(x,0,(1-\Phi{1}(x)))/(1-\Phi{1}(x)))^{2})^{(1/2)})

\Phi{4}\left(x\right)=\Phi{2}(x)+\Phi{3}(x)-(1-\Phi{1}(x))

V\left(x\right)=(-1)^{\operatorname{floor}(x)}*(\Phi_{4}(\operatorname{mod}(x/1,1))-.5)+.5\ \ \ \ -\ \ \ \ 0

H\left(x\right)=\Phi{4}(\operatorname{mod}(x,1))*\operatorname{mod}\left(\operatorname{floor}(x+1),2\right)+\Phi{4}(1-\operatorname{mod}(x,1))*\operatorname{mod}\left(\operatorname{floor}(-x+1),2\right)\ \ \ \ -\ \ \ \ 1

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𖣠⚪ᔓᔕᎥᗱᗎᙁᑐᑕ᚟ᑐᑕ𖣓ИNⓄⵙ✀ᑐᑕИNᑎꗳ⚪𔗢⚪🞋⚪𔗢⚪ꗳᑎИNᑐᑕ✀ⵙⓄИN𖣓ᑐᑕ᚟ᑐᑕᙁᗱᗎᎥᔓᔕ⚪𖣠
𖣠⚪ИNⓄᔓᔕꖎᎥᗩߊᙏⓄᑐᑕ⚪⚙⚪ᗩᙁᑎᙏᎥⓄꗳ⚪◯⚪ᕀᕊИNⓄᙁ⚪✺⚪ИNⓄꖎ✀ᗩᙏꖎꕀⓄᎥߊᗩ⚪𓊗⚪ᔓᔕᑎꖎ⚭ᗩꗳ⚪𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⚪ꗳᗩ⚭ꖎᑎᔓᔕ⚪𓊗⚪ᗩߊᎥⓄꕀꖎᙏᗩ✀ꖎⓄИN⚪✺⚪ᙁⓄИNᕀᕊ⚪◯⚪ꗳⓄᎥᙏᑎᙁᗩ⚪⚙⚪ᑐᑕⓄᙏߊᗩᎥꖎᔓᔕⓄИN⚪𖣠
𖣠⚪ИNⓄᔓᔕꖎᎥᗩߊᙏⓄᑐᑕ⚪⚙⚪ᗩᙁᑎᙏᎥⓄꗳ⚪◯⚪ᕀᕊИNⓄᙁ⚪✺⚪ИNⓄꖎ✀ᗩᙏꖎꕀⓄᎥߊᗩ⚪𓊗⚪ᔓᔕᑎꖎ⚭ᗩꗳ⚪𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⚪ꗳᗩ⚭ꖎᑎᔓᔕ⚪𓊗⚪ᗩߊᎥⓄꕀꖎᙏᗩ✀ꖎⓄИN⚪✺⚪ᙁⓄИNᕀᕊ⚪◯⚪ꗳⓄᎥᙏᑎᙁᗩ⚪⚙⚪ᑐᑕⓄᙏߊᗩᎥꖎᔓᔕⓄИN⚪𖣠
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𖣠⚪ИNⓄᔓᔕꖎᎥᗩߊᙏⓄᑐᑕ⚪⚙⚪ᗩᙁᑎᙏᎥⓄꗳ⚪◯⚪ᕀᕊИNⓄᙁ⚪✺⚪ИNⓄꖎ✀ᗩᙏꖎꕀⓄᎥߊᗩ⚪𓊗⚪ᔓᔕᑎꖎ⚭ᗩꗳ⚪𖣠⚪𔗢⚪🞋⚪𔗢⚪𖣠⚪ꗳᗩ⚭ꖎᑎᔓᔕ⚪𓊗⚪ᗩߊᎥⓄꕀꖎᙏᗩ✀ꖎⓄИN⚪✺⚪ᙁⓄИNᕀᕊ⚪◯⚪ꗳⓄᎥᙏᑎᙁᗩ⚪⚙⚪ᑐᑕⓄᙏߊᗩᎥꖎᔓᔕⓄИN⚪𖣠
𖣠⚪ᗱᗎᙁᑐᑕᎥⵙᑎ€ᔓᔕ▢ᎥᗩᙁⓄߊⰙИNⓄⵙ✀ᗩᙏⵙꕀⓄᎥߊᗩ⁜ᙁᗩⵙ✀ИNᗱᗎИNⓄߊꕀᗱᗎ✊ᔓᔕᑎⵙ⚭ᗩꗳ⚪𔗢⚪🞋⚪𔗢⚪ꗳᗩ⚭ⵙᑎᔓᔕ✊ᗱᗎꕀߊⓄИNᗱᗎИN✀ⵙᗩᙁ⁜ᗩߊᎥⓄꕀⵙᙏᗩ✀ⵙⓄИNⰙߊⓄᙁᗩᎥ▢ᔓᔕ€ᑎⵙᎥᑐᑕᙁᗱᗎ⚪𖣠
𖣠⚪ᗱᗎᙁᑐᑕᎥⵙᑎ€ᔓᔕ▢ᎥᗩᙁⓄߊⰙИNⓄⵙ✀ᗩᙏⵙꕀⓄᎥߊᗩ⁜ᙁᗩⵙ✀ИNᗱᗎИNⓄߊꕀᗱᗎ✊ᔓᔕᑎⵙ⚭ᗩꗳ⚪𔗢⚪🞋⚪𔗢⚪ꗳᗩ⚭ⵙᑎᔓᔕ✊ᗱᗎꕀߊⓄИNᗱᗎИN✀ⵙᗩᙁ⁜ᗩߊᎥⓄꕀⵙᙏᗩ✀ⵙⓄИNⰙߊⓄᙁᗩᎥ▢ᔓᔕ€ᑎⵙᎥᑐᑕᙁᗱᗎ⚪𖣠
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𖣠⚪ᗱᗎᙁᑐᑕᎥⵙᑎ€ᔓᔕ▢ᎥᗩᙁⓄߊⰙИNⓄⵙ✀ᗩᙏⵙꕀⓄᎥߊᗩ⁜ᙁᗩⵙ✀ИNᗱᗎИNⓄߊꕀᗱᗎ✊ᔓᔕᑎⵙ⚭ᗩꗳ⚪𔗢⚪🞋⚪𔗢⚪ꗳᗩ⚭ⵙᑎᔓᔕ✊ᗱᗎꕀߊⓄИNᗱᗎИN✀ⵙᗩᙁ⁜ᗩߊᎥⓄꕀⵙᙏᗩ✀ⵙⓄИNⰙߊⓄᙁᗩᎥ▢ᔓᔕ€ᑎⵙᎥᑐᑕᙁᗱᗎ⚪𖣠
𖣠⚪ᗱᗎᙁᑐᑕᎥꖎᑎ€ᔓᔕ▢ᎥᗩᙁⓄߊ𖥀⚪𔗢⚪🞋⚪𔗢⚪𖥀ߊⓄᙁᗩᎥ▢ᔓᔕ€ᑎꖎᎥᑐᑕᙁᗱᗎ⚪𖣠
𖣠⚪ᗱᗎᙁᑐᑕᎥꖎᑎ€ᔓᔕ▢ᎥᗩᙁⓄߊ𖥀⚪𔗢⚪🞋⚪𔗢⚪𖥀ߊⓄᙁᗩᎥ▢ᔓᔕ€ᑎꖎᎥᑐᑕᙁᗱᗎ⚪𖣠
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𖣠⚪ᗱᗎᙁᑐᑕᎥꖎᑎ€ᔓᔕ▢ᎥᗩᙁⓄߊ𖥀⚪𔗢⚪🞋⚪𔗢⚪𖥀ߊⓄᙁᗩᎥ▢ᔓᔕ€ᑎꖎᎥᑐᑕᙁᗱᗎ⚪𖣠
⚪ᔓᔕ⚪ᗝ⚪ꖎ⚪Ⓞ⚪ᔓᔕ⚪ᑎ⚪ИN⚪ꖎ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪ꖎ⚪ИN⚪ᑎ⚪ᔓᔕ⚪Ⓞ⚪ꖎ⚪ᗝ⚪ᔓᔕ⚪
⚪ᔓᔕ⚪ᗝ⚪ꖎ⚪Ⓞ⚪ᔓᔕ⚪ᑎ⚪ИN⚪ꖎ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪ꖎ⚪ИN⚪ᑎ⚪ᔓᔕ⚪Ⓞ⚪ꖎ⚪ᗝ⚪ᔓᔕ⚪

\sin(x4\arctan(1)/2)

\left(-1\right)^{\operatorname{round}\left(\frac{x+1}{2}\right)}\left(\left(\operatorname{mod}\left(x+2,2\right)-1\right)^{2}-1\right)

\left(-1\right)^{\operatorname{floor}\left(\frac{x}{2}\right)}\sqrt{1-\left(\operatorname{mod}\left(x,2\right)-1\right)^{2}}

\left(-1\right)^{\operatorname{floor}\left(\frac{x}{2}\right)}\left(2-\sqrt{3\left(\operatorname{mod}\left(x,2\right)-1\right)^{2}+1}\right)

-\left(-1\right)^{\operatorname{floor}\left(\frac{x}{2}\right)}\left(\cosh\left(\cosh^{-1}\left(2\right)\left(\operatorname{mod}\left(x,2\right)-1\right)\right)-2\right)

-\left(-\left(-1\right)^{\operatorname{floor}\left(\frac{x}{2}+.5\right)}\left(\exp(-1/\operatorname{mod}\left(\frac{x}{2}+.5,1\right))/(\exp(-1/\operatorname{mod}\left(\frac{x}{2}+.5,1\right))+\exp(-1/(1-\operatorname{mod}\left(\frac{x}{2}+.5,1\right))))\right)+\left(-1\right)^{\operatorname{floor}\left(\frac{x}{2}+.5\right)}\left(\exp(-1/\operatorname{mod}\left(-\frac{x}{2}+.5,1\right))/(\exp(-1/\operatorname{mod}\left(\frac{x}{2}+.5,1\right))+\exp(-1/(1-\operatorname{mod}\left(\frac{x}{2}+.5,1\right))))\right)\right)

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⚪ᔓᔕ⚪ᗝ⚪ꖎ⚪Ⓞ⚪ᔓᔕ⚪ᑎ⚪ИN⚪ꖎ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪ᔓᔕ⚪ꖎ⚪ИN⚪ᑎ⚪ᔓᔕ⚪Ⓞ⚪ꖎ⚪ᗝ⚪ᔓᔕ⚪