Rocksolid Light

Welcome to novaBBS (click a section below)

mail  files  register  newsreader  groups  login

Message-ID:  

BREAKFAST.COM Halted... Cereal Port Not Responding.

tech / sci.math / Re: New set of triogonmetic identities from the disproof - and that, some - of FLT

Re: New set of triogonmetic identities from the disproof - and that, some - of FLT

<b4b90658-9a80-4634-b141-d5b6e5725ff5n@googlegroups.com>

  copy mid

https://www.novabbs.com/tech/article-flat.php?id=132324&group=sci.math#132324

  copy link   Newsgroups: sci.math
X-Received: by 2002:a05:6214:5617:b0:5ef:50c9:a8c6 with SMTP id mg23-20020a056214561700b005ef50c9a8c6mr662634qvb.1.1682067113886;
Fri, 21 Apr 2023 01:51:53 -0700 (PDT)
X-Received: by 2002:a81:b149:0:b0:54f:8824:8836 with SMTP id
p70-20020a81b149000000b0054f88248836mr995667ywh.8.1682067113620; Fri, 21 Apr
2023 01:51:53 -0700 (PDT)
Path: i2pn2.org!i2pn.org!usenet.blueworldhosting.com!diablo1.usenet.blueworldhosting.com!peer02.iad!feed-me.highwinds-media.com!news.highwinds-media.com!news-out.google.com!nntp.google.com!postnews.google.com!google-groups.googlegroups.com!not-for-mail
Newsgroups: sci.math
Date: Fri, 21 Apr 2023 01:51:53 -0700 (PDT)
In-Reply-To: <snh44i5eu5dr1a2p4v4elk1lj2obec7d2n@4ax.com>
Injection-Info: google-groups.googlegroups.com; posting-host=110.148.173.130; posting-account=FGAMBgkAAADo-IBC38dBnGyN3mUkGZ8u
NNTP-Posting-Host: 110.148.173.130
References: <6ecf238e-cfb5-483d-ad6a-50a3978169aan@googlegroups.com> <snh44i5eu5dr1a2p4v4elk1lj2obec7d2n@4ax.com>
User-Agent: G2/1.0
MIME-Version: 1.0
Message-ID: <b4b90658-9a80-4634-b141-d5b6e5725ff5n@googlegroups.com>
Subject: Re: New set of triogonmetic identities from the disproof - and that,
some - of FLT
From: banerjee...@gmail.com (banerjee...@gmail.com)
Injection-Date: Fri, 21 Apr 2023 08:51:53 +0000
Content-Type: text/plain; charset="UTF-8"
X-Received-Bytes: 10294
 by: banerjee...@gmail.co - Fri, 21 Apr 2023 08:51 UTC

On Friday, 21 April 2023 at 18:20:38 UTC+10, Barry Schwarz wrote:
> On Thu, 20 Apr 2023 23:12:30 -0700 (PDT), "banerjee...@gmail.com"
> <banerjee...@gmail.com> wrote:
>
> >One of them is
> >
> >For any x < 1, and integer n>2
> >*****
> >arcsin(sqrt(x^n)) + arcsin(sqrt(1-x^n))=pi/2
> >*****
> Not really. When x is .5 and n is 3, the sum is off by over 15%.

NO.
n= 3

x theta phi sum
0.001 3.16228E-05 1.570764704 1.570796327
0.011 0.00115369 1.569642637 1.570796327
0.021 0.003043194 1.567753133 1.570796327
0.031 0.00545814 1.565338186 1.570796327
0.041 0.008301963 1.562494364 1.570796327
0.051 0.011517676 1.559278651 1.570796327
0.061 0.015066459 1.555729868 1.570796327
0.071 0.018919665 1.551876662 1.570796327
0.081 0.023055047 1.54774128 1.570796327
0.091 0.027454697 1.54334163 1.570796327
0.101 0.032103817 1.53869251 1.570796327
0.111 0.03698993 1.533806397 1.570796327
0.121 0.042102353 1.528693974 1.570796327
0.131 0.047431821 1.523364506 1.570796327
0.141 0.052970221 1.517826106 1.570796327
0.151 0.058710387 1.51208594 1.570796327
0.161 0.064645954 1.506150373 1.570796327
0.171 0.070771232 1.500025094 1.570796327
0.181 0.077081118 1.493715208 1.570796327
0.191 0.083571019 1.487225308 1.570796327
0.201 0.090236789 1.480559538 1.570796327
0.211 0.097074686 1.473721641 1.570796327
0.221 0.104081324 1.466715003 1.570796327
0.231 0.111253644 1.459542683 1.570796327
0.241 0.118588883 1.452207444 1.570796327
0.251 0.126084552 1.444711775 1.570796327
0.261 0.133738412 1.437057915 1.570796327
0.271 0.141548463 1.429247864 1.570796327
0.281 0.149512923 1.421283404 1.570796327
0.291 0.15763022 1.413166107 1.570796327
0.301 0.16589898 1.404897346 1.570796327
0.311 0.17431802 1.396478307 1.570796327
0.321 0.182886335 1.387909991 1.570796327
0.331 0.191603102 1.379193225 1.570796327
0.341 0.200467663 1.370328664 1.570796327
0.351 0.209479532 1.361316795 1.570796327
0.361 0.218638385 1.352157942 1.570796327
0.371 0.227944061 1.342852266 1.570796327
0.381 0.237396559 1.333399768 1.570796327
0.391 0.246996039 1.323800288 1.570796327
0.401 0.256742821 1.314053506 1.570796327
0.411 0.266637389 1.304158938 1.570796327
0.421 0.276680386 1.294115941 1.570796327
0.431 0.286872625 1.283923701 1.570796327
0.441 0.297215086 1.273581241 1.570796327
0.451 0.307708921 1.263087406 1.570796327
0.461 0.318355461 1.252440866 1.570796327
0.471 0.32915622 1.241640107 1.570796327
0.481 0.3401129 1.230683427 1.570796327
0.491 0.351227401 1.219568926 1.570796327
0.501 0.362501828 1.208294499 1.570796327
0.511 0.3739385 1.196857827 1.570796327
0.521 0.385539962 1.185256365 1.570796327
0.531 0.397308995 1.173487332 1.570796327
0.541 0.40924863 1.161547696 1.570796327
0.551 0.421362165 1.149434162 1.570796327
0.561 0.433653176 1.13714315 1.570796327
0.571 0.446125543 1.124670784 1.570796327
0.581 0.458783464 1.112012863 1.570796327
0.591 0.471631481 1.099164845 1.570796327
0.601 0.484674508 1.086121818 1.570796327
0.611 0.497917856 1.07287847 1.570796327
0.621 0.511367268 1.059429059 1.570796327
0.631 0.525028953 1.045767374 1.570796327
0.641 0.538909633 1.031886694 1.570796327
0.651 0.553016582 1.017779744 1.570796327
0.661 0.567357687 1.003438639 1.570796327
0.671 0.581941502 0.988854825 1.570796327
0.681 0.596777318 0.974019009 1.570796327
0.691 0.611875243 0.958921083 1.570796327
0.701 0.627246294 0.943550033 1.570796327
0.711 0.642902495 0.927893832 1.570796327
0.721 0.658857003 0.911939324 1.570796327
0.731 0.675124247 0.895672079 1.570796327
0.741 0.691720092 0.879076234 1.570796327
0.751 0.708662032 0.862134295 1.570796327
0.761 0.725969417 0.84482691 1.570796327
0.771 0.74366373 0.827132597 1.570796327
0.781 0.76176891 0.809027417 1.570796327
0.791 0.780311747 0.79048458 1.570796327
0.801 0.799322364 0.771473963 1.570796327
0.811 0.81883481 0.751961516 1.570796327
0.821 0.838887794 0.731908533 1.570796327
0.831 0.859525604 0.711270723 1.570796327
0.841 0.880799286 0.689997041 1.570796327
0.851 0.902768152 0.668028175 1.570796327
0.861 0.925501758 0.645294569 1.570796327
0.871 0.949082531 0.621713796 1.570796327
0.881 0.973609347 0.59718698 1.570796327
0.891 0.99920248 0.571593847 1.570796327
0.901 1.026010666 0.544785661 1.570796327
0.911 1.054221477 0.51657485 1.570796327
0.921 1.084077135 0.486719192 1.570796327
0.931 1.115899712 0.454896615 1.570796327
0.941 1.150133595 0.420662732 1.570796327
0.951 1.187422327 0.383373999 1.570796327
0.961 1.228761536 0.342034791 1.570796327
0.971 1.275847146 0.294949181 1.570796327
0.981 1.332052511 0.238743815 1.570796327
0.991 1.406480006 0.164316321 1.570796327

Same pi/2 all the way.

For n-20, below

n=20

x theta phi sum
0.001 1E-30 1.570796327 1.570796327
0.011 2.59374E-20 1.570796327 1.570796327
0.021 1.66799E-17 1.570796327 1.570796327
0.031 8.19628E-16 1.570796327 1.570796327
0.041 1.34227E-14 1.570796327 1.570796327
0.051 1.19042E-13 1.570796327 1.570796327
0.061 7.13343E-13 1.570796327 1.570796327
0.071 3.25524E-12 1.570796327 1.570796327
0.081 1.21577E-11 1.570796327 1.570796327
0.091 3.89416E-11 1.570796327 1.570796327
0.101 1.10462E-10 1.570796327 1.570796327
0.111 2.83942E-10 1.570796327 1.570796327
0.121 6.7275E-10 1.570796327 1.570796327
0.131 1.48838E-09 1.570796327 1.570796328
0.141 3.10593E-09 1.570796327 1.57079633
0.151 6.16268E-09 1.570796327 1.570796333
0.161 1.1702E-08 1.570796327 1.570796338
0.171 2.13777E-08 1.570796306 1.570796327
0.181 3.77386E-08 1.57079629 1.570796328
0.191 6.4615E-08 1.570796262 1.570796326
0.201 1.07637E-07 1.570796219 1.570796327
0.211 1.74914E-07 1.570796152 1.570796327
0.221 2.77922E-07 1.570796049 1.570796327
0.231 4.32633E-07 1.570795894 1.570796327
0.241 6.60953E-07 1.570795666 1.570796327
0.251 9.92515E-07 1.570795334 1.570796327
0.261 1.46692E-06 1.57079486 1.570796327
0.271 2.13645E-06 1.57079419 1.570796327
0.281 3.06947E-06 1.570793257 1.570796327
0.291 4.35442E-06 1.570791972 1.570796327
0.301 6.10471E-06 1.570790222 1.570796327
0.311 8.46455E-06 1.570787862 1.570796327
0.321 1.16158E-05 1.570784711 1.570796327
0.331 1.57863E-05 1.570780541 1.570796327
0.341 2.1259E-05 1.570775068 1.570796327
0.351 2.83838E-05 1.570767943 1.570796327
0.361 3.759E-05 1.570758737 1.570796327
0.371 4.94014E-05 1.570746925 1.570796327
0.381 6.4454E-05 1.570731873 1.570796327
0.391 8.35156E-05 1.570712811 1.570796327
0.401 0.000107509 1.570688818 1.570796327
0.411 0.000137537 1.57065879 1.570796327
0.421 0.000174913 1.570621414 1.570796327
0.431 0.000221194 1.570575133 1.570796327
0.441 0.000278218 1.570518108 1.570796327
0.451 0.000348149 1.570448178 1.570796327
0.461 0.00043352 1.570362807 1.570796327
0.471 0.00053729 1.570259036 1.570796327
0.481 0.000662904 1.570133423 1.570796327
0.491 0.000814357 1.56998197 1.570796327
0.501 0.000996271 1.569800056 1.570796327
0.511 0.001213973 1.569582354 1.570796327
0.521 0.001473592 1.569322734 1.570796327
0.531 0.001782155 1.569014172 1.570796327
0.541 0.002147697 1.56864863 1.570796327
0.551 0.002579387 1.56821694 1.570796327
0.561 0.003087659 1.567708668 1.570796327
0.571 0.00368436 1.567111967 1.570796327
0.581 0.004382912 1.566413415 1.570796327
0.591 0.005198485 1.565597842 1.570796327
0.601 0.006148192 1.564648134 1.570796327
0.611 0.007251301 1.563545026 1.570796327
0.621 0.008529455 1.562266872 1.570796327
0.631 0.01000693 1.560789397 1.570796327
0.641 0.011710899 1.559085428 1.570796327
0.651 0.013671728 1.557124599 1.570796327
0.661 0.015923295 1.554873032 1.570796327
0.671 0.018503334 1.552292993 1.570796327
0.681 0.02145381 1.549342517 1.570796327
0.691 0.024821331 1.545974996 1.570796327
0.701 0.028657587 1.542138739 1.570796327
0.711 0.033019837 1.537776489 1.570796327
0.721 0.037971435 1.532824891 1.570796327
0.731 0.043582412 1.527213915 1.570796327
0.741 0.049930113 1.520866214 1.570796327
0.751 0.057099906 1.513696421 1.570796327
0.761 0.065185977 1.50561035 1.570796327
0.771 0.074292224 1.496504103 1.570796327
0.781 0.084533276 1.486263051 1.570796327
0.791 0.096035679 1.474760648 1.570796327
0.801 0.108939285 1.461857042 1.570796327
0.811 0.1233989 1.447397426 1.570796327
0.821 0.139586305 1.431210022 1.570796327
0.831 0.157692728 1.413103599 1.570796327
0.841 0.177931972 1.392864354 1.570796327
0.851 0.200544425 1.370251901 1.570796327
0.861 0.225802292 1.344994035 1.570796327
0.871 0.254016583 1.316779743 1.570796327
0.881 0.285546634 1.285249693 1.570796327
0.891 0.320813365 1.249982962 1.570796327
0.901 0.36031826 1.210478067 1.570796327
0.911 0.40467131 1.166125016 1.570796327
0.921 0.454633676 1.116162651 1.570796327
0.931 0.511185648 1.059610679 1.570796327
0.941 0.575640964 0.995155363 1.570796327
0.951 0.649852995 0.920943331 1.570796327
0.961 0.736623359 0.834172968 1.570796327
0.971 0.840627495 0.730168832 1.570796327
0.981 0.970996586 0.599799741 1.570796327
0.991 1.151950315 0.418846012 1.570796327

>
> --
> Remove del for email

SubjectRepliesAuthor
o New set of triogonmetic identities from the disproof - and that, some

By: banerjee...@gmail.co on Fri, 21 Apr 2023

12banerjee...@gmail.com
server_pubkey.txt

rocksolid light 0.9.81
clearnet tor