Post on 10-Nov-2014
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CALCULO DEL TIRANTE NORMALN Error0 1 0.3267437544639 5.18979768 0.02746181 0.93704114 0.1403790179812 5.11179209 0.01186672 0.90957934 0.0602294964648 5.07550467 0.005103543 0.89771264 0.0258206658973 5.05936745 0.002190094 0.8926091 0.0110650840511 5.05233976 0.000938935 0.89041901 0.0047409402026 5.04930758 0.000402376 0.88948008 0.0020311416471 5.04800461 0.00017247 0.88907771 0.0008701642066 5.04744568 7.38592E-058 0.88890532 0.0003727828125 5.0472061 3.16421E-059 0.88883146 0.0001597010698 5.04710344 1.35556E-05
10 0.88879982 6.841614569E-05 5.04705945 5.80727E-0611 0.88878626 2.930953191E-05 5.04704061 2.48784E-0612 0.88878045 1.255622089E-05 5.04703253 1.06579E-0613 0.88877797 5.379091351E-06 5.04702908 0.888776914 0.8887769 2.304405235E-06 5.04702759 0
CALCULO DEL TIRANTE CRΓTICON Error0 1 6.4489795918367 27 0.090632471 0.7611489 1.4177080792387 15.6423867 0.013354552 0.67051644 0.162110799741 12.1389919 0.000275063 0.65716189 0.0032072955168 11.6602671 1.1521E-074 0.65688682 1.342259515E-06 11.6505081 2.02061E-145 0.65688671 2.353672812E-13 11.650504 06 0.65688671 0 11.650504 07 0.65688671 0 11.650504 08 0.65688671 0 11.650504 09 0.65688671 0 11.650504 0
10 0.65688671 0 11.650504 011 0.65688671 0 11.650504 012 0.65688671 0 11.650504 013 0.65688671 0 11.650504 0.6568867114 0.65688671 0 11.650504 0
π¦_(+1π
)
π(π¦_π ) πβ²(π¦_π )
π¦_(π+1) π(π¦_π ) πβ²(π¦_π )
Introducir los Datosb g
5 0.014 0.0015 3 9.8 No b1 32 33 34 35 36 37 38 39 3
10 311 312 313 314 3
TIRANTE NORMAL
TIRANTE CRΓTICO
π΄=ππ¦π=π+2π¦
π¦_(π+1)=π¦_πβ((ππ¦)^(5/3)/(π+2π¦)^(2/3) βππ/( γπ ^β‘(64&1/2)γ _0^ ))/((ππ¦/(π+2π¦))^β‘(64&1/2) [5/2 πβ2/3 ππ¦/(π+2π¦) 2] )
π π_0Μ π
π¦_(π+1)=π¦_πβ(π^2 π¦^3βπ^2/π)/(3(ππ¦)^3 )
A P v TIPO DE REGIMEN0.93704114 3.20156701 0.7611489 0.87804609 4.87408228 3.41667712 Subcritico Lento0.90957934 3.29822796 0.67051644 0.85231326 4.81915867 3.51983261 Subcritico Lento0.89771264 3.34182664 0.65716189 0.84119367 4.79542527 3.56636064 Subcritico Lento
0.8926091 3.3609337 0.65688682 0.83641145 4.7852182 3.58675149 Subcritico Lento0.89041901 3.36920031 0.65688671 0.83435924 4.78083802 3.59557353 Subcritico Lento0.88948008 3.37275681 0.65688671 0.83347943 4.77896016 3.59936899 Subcritico Lento0.88907771 3.3742832 0.65688671 0.83310239 4.77815543 3.60099794 Subcritico Lento0.88890532 3.37493762 0.65688671 0.83294085 4.77781064 3.60169632 Subcritico Lento0.88883146 3.37521807 0.65688671 0.83287164 4.77766292 3.60199561 Subcritico Lento0.88879982 3.37533823 0.65688671 0.83284199 4.77759963 3.60212385 Subcritico Lento0.88878626 3.37538971 0.65688671 0.83282929 4.77757252 3.60217879 Subcritico Lento0.88878045 3.37541177 0.65688671 0.83282385 4.77756091 3.60220232 Subcritico Lento0.88877797 3.37542121 0.65688671 0.83282152 4.77755593 3.60221241 Subcritico Lento
0.8887769 3.37542526 0.65688671 0.83282052 4.7775538 3.60221673 Subcritico Lento
TIRANTE NORMAL
TIRANTE CRΓTICO
π¦_π πβπ¦_π π¦_π
OBS.
CALCULO DEL TIRANTE NORMALN Error0 1 0.24593729 6.14569608 0.040017811 0.95998219 0.01461661 5.89741657 0.002478482 0.95750372 0.00065162 5.88213662 0.000110783 0.95739294 2.84116E-05 5.88145392 4.83071E-064 0.95738811 1.23754E-06 5.88142415 2.10415E-075 0.9573879 5.39018E-08 5.88142285 9.16476E-096 0.95738789 2.34773E-09 5.8814228 3.99176E-107 0.95738789 1.02257E-10 5.88142279 1.73864E-118 0.95738789 4.45466E-12 5.88142279 7.57394E-139 0.95738789 1.92735E-13 5.88142279 3.27516E-14
10 0.95738789 0 5.88142279 011 0.95738789 0 5.88142279 012 0.95738789 0 5.88142279 013 0.95738789 0 5.88142279 014 0.95738789 0 5.88142279 0.95738789
CALCULO DEL TIRANTE CRITICON Error0 1 6.99319728 40.8888889 0.171029281 0.82897072 1.57161419 23.6382829 0.066485972 0.76248475 0.17132784 18.6263453 0.009198153 0.7532866 0.0028994 17.9984651 0.000161094 0.75312551 8.74816E-07 17.9876048 4.86344E-085 0.75312546 7.9492E-14 17.9876015 4.44089E-156 0.75312546 0 17.9876015 07 0.75312546 0 17.9876015 08 0.75312546 0 17.9876015 09 0.75312546 0 17.9876015 0
10 0.75312546 0 17.9876015 011 0.75312546 0 17.9876015 012 0.75312546 0 17.9876015 013 0.75312546 0 17.9876015 014 0.75312546 0 17.9876015 0.75312546
π¦_(+1π
)
π(π¦_π ) πβ²(π¦_π )
π¦_(π+1) π(π¦_π ) πβ²(π¦_π )
π¦_(π+1)=π¦_πβ(((π+ππ¦)π¦)^β‘(64&3)/((π+2ππ¦) )βπ^2/π)/(((π+ππ¦)π¦)^β‘(64&2)/((π+2ππ¦) ) [3(π+2ππ¦)β((π+ππ¦)π¦/(π+2π¦π))2π] )
Introducir los DatosQ So n b K g No6 0.001 0.014 2 2 9.8 1
23456789
1011121314
π¦_(π+1)=π¦_πβ(((π+ππ¦)π¦)^β‘(64&5/3)/((π+2π¦(1+π^2 )^β‘(64&1/2) ))^β‘(64&2/3) βππ/π^β‘(64&1/2) )/(((π+ππ¦)π¦/(π+2π¦(1+π^2 )^β‘(64&1/2) ))^β‘(64&1/2) [5/3 (π+2ππ¦)β3/2 ((π+ππ¦)π¦/(π+2π¦(1+π)^β‘(64&1/2) ))2β(1+π^2 )] )
π¦_(π+1)=π¦_πβ(((π+ππ¦)π¦)^β‘(64&3)/((π+2ππ¦) )βπ^2/π)/(((π+ππ¦)π¦)^β‘(64&2)/((π+2ππ¦) ) [3(π+2ππ¦)β((π+ππ¦)π¦/(π+2π¦π))2π] )
π΄=(π+ππ¦)π¦π=b+2yβ(1+π^2 )
b A P v2 0.95998219 2.08337198 0.82897072 3.763096 6.47213595 1.594431822 0.95750372 2.08876474 0.76248475 3.74863416 6.29317088 1.600582972 0.95739294 2.08900643 0.7532866 3.74798834 6.28208679 1.600858772 0.95738811 2.08901697 0.75312551 3.74796018 6.28159137 1.60087082 0.9573879 2.08901743 0.75312546 3.74795895 6.28156977 1.600871322 0.95738789 2.08901745 0.75312546 3.7479589 6.28156883 1.600871342 0.95738789 2.08901745 0.75312546 3.7479589 6.28156879 1.600871342 0.95738789 2.08901745 0.75312546 3.7479589 6.28156879 1.600871342 0.95738789 2.08901745 0.75312546 3.7479589 6.28156879 1.600871342 0.95738789 2.08901745 0.75312546 3.7479589 6.28156879 1.600871342 0.95738789 2.08901745 0.75312546 3.7479589 6.28156879 1.600871342 0.95738789 2.08901745 0.75312546 3.7479589 6.28156879 1.600871342 0.95738789 2.08901745 0.75312546 3.7479589 6.28156879 1.600871342 0.95738789 2.08901745 0.75312546 3.7479589 6.28156879 1.60087134
TIRANTE NORMAL
TIRANTE CRΓTICO
π¦_(π+1)=π¦_πβ(((π+ππ¦)π¦)^β‘(64&5/3)/((π+2π¦(1+π^2 )^β‘(64&1/2) ))^β‘(64&2/3) βππ/π^β‘(64&1/2) )/(((π+ππ¦)π¦/(π+2π¦(1+π^2 )^β‘(64&1/2) ))^β‘(64&1/2) [5/3 (π+2ππ¦)β3/2 ((π+ππ¦)π¦/(π+2π¦(1+π)^β‘(64&1/2) ))2β(1+π^2 )] )
π¦_π πβπ¦_π π¦_π
TIPO DE REGIMEN OBS.Subcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico Lento
Introducir los Datos
Q 0.567 N A
n 0.015 0 0.5 -0.07017557 0.36742553D 0.9144 1 0.61962042 -0.01580016 0.47367782So 0.0016 2 0.64890397 -0.00339458 0.4983593g 9.8 3 0.65551799 -0.00067957 0.50382935
4 0.65686003 -0.00013303 0.504934195 0.65712349 -2.5912E-05 0.505150876 0.65717484 -5.0425E-06 0.50519317 0.65718483 -9.8108E-07 0.505201318 0.65718678 -1.9087E-07 0.505202919 0.65718715 -3.7135E-08 0.50520322
10 0.65718723 -7.2248E-09 0.5052032811 0.65718724 -1.4056E-09 0.505203312 0.65718725 -2.7346E-10 0.505203313 0.65718725 -5.3203E-11 0.505203314 0.65718725 -1.0351E-11 0.5052033
N A0 0.5 0.02168077 0.367425531 0.44791523 0.00298989 0.319857032 0.43812305 9.04607E-05 0.310907553 0.43780784 9.11833E-08 0.310619574 0.43780752 9.29604E-14 0.310619285 0.43780752 0 0.310619286 0.43780752 0 0.310619287 0.43780752 0 0.310619288 0.43780752 0 0.310619289 0.43780752 0 0.31061928
10 0.43780752 0 0.3106192811 0.43780752 0 0.3106192812 0.43780752 0 0.3106192813 0.43780752 0 0.3106192814 0.43780752 0 0.31061928
π¦_(+1π
)
π(π¦_π )
π¦_(π+1) π(π¦_π )
CALCULO DEL TIRANTE NORMAL
P
1.52206168 0.18848735 1.32318784 0.24139989 0.586652107 0.49132463 0.91038453 2.008821471.76842958 0.28783156 1.46237419 0.26785224 0.539557613 0.51754443 0.85475481 2.139560931.83197341 0.31325952 1.49719871 0.27203413 0.513239553 0.52156892 0.83013596 2.203012631.84659882 0.31901108 1.50515665 0.2728418 0.506365503 0.52234261 0.8238976 2.219693311.84958009 0.32017786 1.50677623 0.27299936 0.504926977 0.52249341 0.82260005 2.223194611.8501659 0.32040689 1.50709437 0.27303004 0.50464283 0.52252277 0.82234406 2.22388668
1.85028009 0.32045153 1.50715638 0.27303601 0.504587382 0.52252848 0.82229412 2.224021751.85030232 0.32046021 1.50716845 0.27303717 0.504576589 0.52252959 0.8222844 2.224048041.85030664 0.3204619 1.5071708 0.2730374 0.504574488 0.52252981 0.8222825 2.224053161.85030748 0.32046223 1.50717126 0.27303744 0.50457408 0.52252985 0.82228214 2.224054151.85030765 0.3204623 1.50717135 0.27303745 0.504574 0.52252986 0.82228206 2.224054351.85030768 0.32046231 1.50717136 0.27303745 0.504573985 0.52252986 0.82228205 2.224054381.85030769 0.32046231 1.50717137 0.27303745 0.504573982 0.52252986 0.82228205 2.224054391.85030769 0.32046231 1.50717137 0.27303745 0.504573981 0.52252986 0.82228205 2.224054391.85030769 0.32046231 1.50717137 0.27303745 0.504573981 0.52252986 0.82228205 2.22405439
CALCULO DEL TIRANTE CRΓTICOT
0.91038453 0.13500152 0.049603 0.40359377 0.416259342 0.14829066 0.91038453 -0.18805240.91421143 0.10230852 0.0327241 0.34987206 0.305334975 0.11190904 0.91421143 0.040624180.91360366 0.0966635 0.03005341 0.340309 0.286983127 0.10580464 0.91360366 0.083523950.91357711 0.09648452 0.02996998 0.34000367 0.286404703 0.1056118 0.91357711 0.08490650.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.08490790.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.08490790.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.08490790.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.08490790.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.08490790.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.08490790.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.08490790.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.08490790.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.08490790.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.08490790.91357708 0.09648434 0.0299699 0.34000337 0.286404119 0.1056116 0.91357708 0.0849079
π΄^β‘(64&5/3)οΏ½οΏ½β‘Μ(64&2/3)
π΄βπ πβ²(π¦_π )ππ΄βππ¦ ππβππ¦β(π΄βπ)
π΄^β‘(64&3)π΄βπ πβ²(π¦_π )
ππ΄βππ¦ ππβππ¦π΄^2βππ΄^β‘(64&2)
Error No
0.11962042 10.02928355 20.00661402 30.00134205 40.00026346 55.13478E-05 69.99335E-06 71.94437E-06 83.78287E-07 97.3597E-08 10
1.43185E-08 112.78571E-09 125.41968E-10 131.05441E-10 140.65718725
Error0.052084770.009792180.000315213.18372E-073.24574E-13
000000000
0.43780752
π¦_(π+1)=π¦_πβ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&5/3)/(cos^(β1) (1β2π¦/π·)"D " )^β‘(64&2/3) βππ/( γπ ^β‘(64&1/2)γ _0^ ))/(((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(cos^(β1) (1β2π¦/π·)"D" ))^β‘(64&1/2) [5/3 ((π·/(2β(1β(1β2π¦/π·)^2 )))(1βcos ( γ 2cosγ^(β1) (1β2π¦/π·) ) ))β2/3 ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(cos^(β1) (1β2π¦/π·)"D" )) 2/β(1β(1β2π¦/π·)^2 )] )
π¦_(π+1)=π¦_πβ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&3)/(2β(π¦(π·βπ¦) ))βπ^2/π)/((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&2)/(2β(π¦(π·βπ¦) )) [3(π·/(2β(1β(1β2π¦/π·)^2 )))(1βcos ( γ 2cosγ^(β1) (1β2π¦/π·) ) )β((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(2β(π¦(π·βπ¦) ))) (π·β2π¦)/β(π¦(π·βπ¦) )] )
π¦_(π+1)=π¦_πβ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&3)/(2β(π¦(π·βπ¦) ))βπ^2/π)/((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&2)/(2β(π¦(π·βπ¦) )) [3(π·/(2β(1β(1β2π¦/π·)^2 )))(1βcos ( γ 2cosγ^(β1) (1β2π¦/π·) ) )β((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(2β(π¦(π·βπ¦) ))) (π·β2π¦)/β(π¦(π·βπ¦) )] )
D A P v
0.9144 0.61962042 1.4757422 0.44791523 0.36742553 1.52206168 1.543169850.9144 0.64890397 1.40914533 0.43812305 0.47367782 1.76842958 1.197016150.9144 0.65551799 1.3949274 0.43780784 0.4983593 1.83197341 1.137733360.9144 0.65686003 1.39207739 0.43780752 0.50382935 1.84659882 1.125381050.9144 0.65712349 1.39151927 0.43780752 0.50493419 1.84958009 1.122918620.9144 0.65717484 1.39141054 0.43780752 0.50515087 1.8501659 1.122436940.9144 0.65718483 1.39138939 0.43780752 0.5051931 1.85028009 1.122343130.9144 0.65718678 1.39138527 0.43780752 0.50520131 1.85030232 1.122324870.9144 0.65718715 1.39138447 0.43780752 0.50520291 1.85030664 1.122321320.9144 0.65718723 1.39138431 0.43780752 0.50520322 1.85030748 1.122320630.9144 0.65718724 1.39138428 0.43780752 0.50520328 1.85030765 1.12232050.9144 0.65718725 1.39138428 0.43780752 0.5052033 1.85030768 1.122320470.9144 0.65718725 1.39138428 0.43780752 0.5052033 1.85030769 1.122320470.9144 0.65718725 1.39138428 0.43780752 0.5052033 1.85030769 1.12232046
π¦_(π+1)=π¦_πβ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&5/3)/(cos^(β1) (1β2π¦/π·)"D " )^β‘(64&2/3) βππ/( γπ ^β‘(64&1/2)γ _0^ ))/(((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(cos^(β1) (1β2π¦/π·)"D" ))^β‘(64&1/2) [5/3 ((π·/(2β(1β(1β2π¦/π·)^2 )))(1βcos ( γ 2cosγ^(β1) (1β2π¦/π·) ) ))β2/3 ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(cos^(β1) (1β2π¦/π·)"D" )) 2/β(1β(1β2π¦/π·)^2 )] )
π¦_(π+1)=π¦_πβ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&3)/(2β(π¦(π·βπ¦) ))βπ^2/π)/((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&2)/(2β(π¦(π·βπ¦) )) [3(π·/(2β(1β(1β2π¦/π·)^2 )))(1βcos ( γ 2cosγ^(β1) (1β2π¦/π·) ) )β((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(2β(π¦(π·βπ¦) ))) (π·β2π¦)/β(π¦(π·βπ¦) )] )
π¦_π π·βπ¦_π π¦_π
π¦_(π+1)=π¦_πβ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&3)/(2β(π¦(π·βπ¦) ))βπ^2/π)/((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&2)/(2β(π¦(π·βπ¦) )) [3(π·/(2β(1β(1β2π¦/π·)^2 )))(1βcos ( γ 2cosγ^(β1) (1β2π¦/π·) ) )β((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(2β(π¦(π·βπ¦) ))) (π·β2π¦)/β(π¦(π·βπ¦) )] )
TIPO DE REGIMEN OBS.
Subcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico LentoSubcritico Lento
π¦_(π+1)=π¦_πβ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&5/3)/(cos^(β1) (1β2π¦/π·)"D " )^β‘(64&2/3) βππ/( γπ ^β‘(64&1/2)γ _0^ ))/(((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(cos^(β1) (1β2π¦/π·)"D" ))^β‘(64&1/2) [5/3 ((π·/(2β(1β(1β2π¦/π·)^2 )))(1βcos ( γ 2cosγ^(β1) (1β2π¦/π·) ) ))β2/3 ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(cos^(β1) (1β2π¦/π·)"D" )) 2/β(1β(1β2π¦/π·)^2 )] )
π¦_(π+1)=π¦_πβ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&3)/(2β(π¦(π·βπ¦) ))βπ^2/π)/((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&2)/(2β(π¦(π·βπ¦) )) [3(π·/(2β(1β(1β2π¦/π·)^2 )))(1βcos ( γ 2cosγ^(β1) (1β2π¦/π·) ) )β((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(2β(π¦(π·βπ¦) ))) (π·β2π¦)/β(π¦(π·βπ¦) )] )
π¦_(π+1)=π¦_πβ((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&3)/(2β(π¦(π·βπ¦) ))βπ^2/π)/((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )^β‘(64&2)/(2β(π¦(π·βπ¦) )) [3(π·/(2β(1β(1β2π¦/π·)^2 )))(1βcos ( γ 2cosγ^(β1) (1β2π¦/π·) ) )β((π·^2/4 (cos^(β1) (1β2π¦/π·)β1/2 sin (2 cos^(β1) (1β2π¦/π·) ) )" " )/(2β(π¦(π·βπ¦) ))) (π·β2π¦)/β(π¦(π·βπ¦) )] )
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TIRANTE CRΓTICO