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Groups > sci.physics > #543628 > unrolled thread
| Started by | dobri karagorgov <dobrikarate.gov@gmail.com> |
|---|---|
| First post | 2016-01-07 04:04 -0800 |
| Last post | 2016-01-09 02:07 -0800 |
| Articles | 13 on this page of 53 — 6 participants |
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great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 04:04 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 12:17 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 05:12 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 13:50 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 06:17 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 06:22 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 18:46 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 10:54 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 10:56 -0800
Re: great news ladies "solution to quintic and all polynomials" Robin Chapman <R.J.Chapman@ex.ac.uk> - 2016-01-08 13:32 +0000
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-09 04:16 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 06:40 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 06:45 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 07:01 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 07:45 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 19:14 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 06:10 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 19:19 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 11:22 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 11:28 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 19:35 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 11:43 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 11:45 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 19:53 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 12:16 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 12:17 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 12:36 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 20:47 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 13:33 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 13:47 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 21:58 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 14:08 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 21:56 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 14:07 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 22:14 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 14:25 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-07 22:42 +0000
Re: great news ladies "solution to quintic and all polynomials" Robin Chapman <R.J.Chapman@ex.ac.uk> - 2016-01-08 13:31 +0000
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-09 04:21 +0000
Re: great news ladies "solution to quintic and all polynomials" Mahipal <mahipal7638@gmail.com> - 2016-01-07 14:25 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-07 14:28 -0800
Re: great news ladies "solution to quintic and all polynomials" Mahipal <mahipal7638@gmail.com> - 2016-01-08 06:28 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-08 11:00 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-08 11:49 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-08 12:16 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-08 12:52 -0800
Re: great news ladies "solution to quintic and all polynomials" NoeDOTNatDOTNoe <dedanoe@gmail.com> - 2016-01-08 14:16 -0800
Re: great news ladies "solution to quintic and all polynomials" Mahipal <mahipal7638@gmail.com> - 2016-01-08 15:46 -0800
Re: great news ladies "solution to quintic and all polynomials" R Kym Horsell <kym@kymhorsell.com> - 2016-01-08 02:57 +0000
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-08 05:28 -0800
Re: great news ladies "solution to quintic and all polynomials" dobri karagorgov <dobrikarate.gov@gmail.com> - 2016-01-08 06:15 -0800
Re: great news ladies "solution to quintic and all polynomials" Sylvia Else <sylvia@not.at.this.address> - 2016-01-09 15:31 +1100
Re: great news ladies "solution to quintic and all polynomials" NoeDOTNatDOTNoe <dedanoe@gmail.com> - 2016-01-09 02:07 -0800
Page 3 of 3 — ← Prev page 1 2 [3]
| From | dobri karagorgov <dobrikarate.gov@gmail.com> |
|---|---|
| Date | 2016-01-07 14:28 -0800 |
| Message-ID | <3351a88a-4843-484a-8afa-8274b49e3298@googlegroups.com> |
| In reply to | #543748 |
On Thursday, January 7, 2016 at 11:25:07 PM UTC+1, Mahipal wrote:
> On Thursday, January 7, 2016 at 2:43:53 PM UTC-5, dobri karagorgov wrote:
> > On Thursday, January 7, 2016 at 8:35:23 PM UTC+1, Kym Horsell wrote:
> > > dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
> > > > On Thursday, January 7, 2016 at 8:20:03 PM UTC+1, Kym Horsell wrote:
> > > >> dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
> > > >> ...
> > > >> >> yes they jumped to wrong conclusion but never exhausted all the approaches
> > > >> and possibilities for solution. you've checked the doc right, you see that
> > > >> concrete numbers favor me ??? concrete numbers agree with my
> > > >> solutions with absolute 100% accuracy ???
> > > >> > sorted out and refined the doc... latest version at: https://docs.google.com
> > > >> I think I can wait until it can solve x^5-x+1 correctly and not
> > > >> the not 100% correct x^5-x+1 = 0.000202425 +/- 0.00021254 i.
> > > >> Maybe you jumped to the wrong conclusion.
> > > >> --
> > > >> Newsflash: Steve "Hellboy" Godard finds CO2 should only
> > > >> cause 2.5% of the observed global warming.
> > > >> If you want to continue to believe that kind of tripe, please
> > > >> avert your eyes now.
> > > >> <http://www.woodfortrees.org/plot/esrl-co2/mean:60/from:1960/normalise/plot/
> > > >> gistemp/mean:60/from:1960/normalise>
> > > >> (Mauna Loa CO2 ppmv from c1958 vs NASA's LOTI avg global temp index).
> > > > try me again {{t -> 1/12 (9 - I Sqrt[15])}, {t -> 1/12 (9 + I Sqrt[15])}}
> > > is solution for t^5 - t + 1 = 0. i told you i was evaluating the binary
> > > coefficient wrongfully as 2!/1!/1!.
> > >
> > > I think you jumped to another even more wrong conclusion.
> > >
> > > t ~= 0.75 -0.322749 i
> > > t^5 - t + 1 ~= 0.0885417 -0.00224131 i
> > >
> > > --
> > > During the late 1940s, Adamski wrote a novel, entitled Pioneers of
> > > Space, about an imaginary trip to the moon, Venus and Mars. He listed
> > > the book with the Library of Congress for copyright purposes as a work
> > > of fiction. In 1953, Adamski co-authored Flying Saucers Have Landed
> > > (New York: The British Book Centre) with British author Desmond
> > > Leslie. The book, which was highly successful, tells of Adamski's
> > > first alleged contact with SPACE PEOPLE. According to Adamski's and
> > > Leslie's account, on November 20, 1952, Adamski went into the desert
> > > accom~am'ed by anthropologist George Hunt Wifliamson, his wife Betty
> > > Williamson, also an anthropologist and chemist, Mr. and Mrs. Al
> > > Bailey, Lucy McGinnis and Alice K. Wells. After spotting a
> > > CIGAR-SHAPED UFO, the others waited by the car while Adamski went into
> > > a small canyon. There he purportedly met with a Venusian with whom he
> > > communicated telepathically and by means of sign language. The
> > > Venusian told Adamski he had come to Earth to stop atomic testing
> > > because the radiation from fallout was dangerous to the other planets
> > > in the solar system. After the spacecraft had left, Adamski noticed
> > > that the Venusian had left deep footprints in the sand. Within the
> > > outline of the footprints were strange hieroglyphics. The group
> > > happened to have brought along some plaster of Paris with which George
> > > Hunt Williamson was able to make a cast of the footprint.
> > > -- <http://www.galeon.com/ignaciodarnaude/bibliografia_paracientifica/
> > > Encyclopedia%20UFO%20M.Sachs.html>
>
> In Reality, copyright matters not. Ask any plagiarist.
>
> >
> > i know i know i know... t^5 - t + 1 has same roots with the quad polynomial:
> >
> > 1/16 (8 + 12 \[Pi] + \[Pi]^2) +
> > 1/16 (-24 - 30 \[Pi] - 4 \[Pi]^2) t +
> > 1/16 (16 + 26 \[Pi] + 6 \[Pi]^2) t^2 +
> > 1/16 (-1 - 8 \[Pi] - 4 \[Pi]^2) t^3 +
> > 1/16 (-7 + 2 \[Pi] + \[Pi]^2) t^4 == 0
> >
> > and the roots are as following (you made me recalculate the whole quintic; the t^5 + a2 t^2 + a1 t + a0 doesn't work for t^5 + b1 t + b0 but in general the method for solving quintics is good):
> >
> > {{t -> -((-1 - 8 \[Pi] - 4 \[Pi]^2)/(4 (-7 + 2 \[Pi] + \[Pi]^2))) -
> > 1/2 \[Sqrt]((-1 - 8 \[Pi] - 4 \[Pi]^2)^2/(
> > 4 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 4 (8 + 13 \[Pi] + 3 \[Pi]^2))/(3 (-7 + 2 \[Pi] + \[Pi]^2)) +
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) +
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] + 2283 \[Pi]^2 +
> > 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) -
> > 1/2 \[Sqrt]((-1 - 8 \[Pi] - 4 \[Pi]^2)^2/(
> > 2 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 8 (8 + 13 \[Pi] + 3 \[Pi]^2))/(3 (-7 + 2 \[Pi] + \[Pi]^2)) -
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) -
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] + 2283 \[Pi]^2 +
> > 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(
> > 1/3) - (-((-1 - 8 \[Pi] - 4 \[Pi]^2)^3/(-7 +
> > 2 \[Pi] + \[Pi]^2)^3) + (
> > 16 (12 + 15 \[Pi] + 2 \[Pi]^2))/(-7 +
> > 2 \[Pi] + \[Pi]^2) + (
> > 8 (-1 - 8 \[Pi] - 4 \[Pi]^2) (8 + 13 \[Pi] +
> > 3 \[Pi]^2))/(-7 +
> > 2 \[Pi] + \[Pi]^2)^2)/(4 \[Sqrt]((-1 - 8 \[Pi] -
> > 4 \[Pi]^2)^2/(4 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 4 (8 + 13 \[Pi] + 3 \[Pi]^2))/(
> > 3 (-7 + 2 \[Pi] + \[Pi]^2)) +
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 +
> > 5935896000 \[Pi] + 4549999392 \[Pi]^2 -
> > 978312168 \[Pi]^3 - 1564874343 \[Pi]^4 +
> > 236225160 \[Pi]^5 + 108093528 \[Pi]^6 -
> > 18912096 \[Pi]^7 + 66960 \[Pi]^8 -
> > 55296 \[Pi]^9)))^(1/3)) +
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 +
> > 5935896000 \[Pi] + 4549999392 \[Pi]^2 -
> > 978312168 \[Pi]^3 - 1564874343 \[Pi]^4 +
> > 236225160 \[Pi]^5 + 108093528 \[Pi]^6 -
> > 18912096 \[Pi]^7 + 66960 \[Pi]^8 -
> > 55296 \[Pi]^9)))^(1/3))))}, {t -> -((-1 -
> > 8 \[Pi] - 4 \[Pi]^2)/(4 (-7 + 2 \[Pi] + \[Pi]^2))) -
> > 1/2 \[Sqrt]((-1 - 8 \[Pi] - 4 \[Pi]^2)^2/(
> > 4 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 4 (8 + 13 \[Pi] + 3 \[Pi]^2))/(3 (-7 + 2 \[Pi] + \[Pi]^2)) +
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) +
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] + 2283 \[Pi]^2 +
> > 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) +
> > 1/2 \[Sqrt]((-1 - 8 \[Pi] - 4 \[Pi]^2)^2/(
> > 2 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 8 (8 + 13 \[Pi] + 3 \[Pi]^2))/(3 (-7 + 2 \[Pi] + \[Pi]^2)) -
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) -
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] + 2283 \[Pi]^2 +
> > 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(
> > 1/3) - (-((-1 - 8 \[Pi] - 4 \[Pi]^2)^3/(-7 +
> > 2 \[Pi] + \[Pi]^2)^3) + (
> > 16 (12 + 15 \[Pi] + 2 \[Pi]^2))/(-7 +
> > 2 \[Pi] + \[Pi]^2) + (
> > 8 (-1 - 8 \[Pi] - 4 \[Pi]^2) (8 + 13 \[Pi] +
> > 3 \[Pi]^2))/(-7 +
> > 2 \[Pi] + \[Pi]^2)^2)/(4 \[Sqrt]((-1 - 8 \[Pi] -
> > 4 \[Pi]^2)^2/(4 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 4 (8 + 13 \[Pi] + 3 \[Pi]^2))/(
> > 3 (-7 + 2 \[Pi] + \[Pi]^2)) +
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 +
> > 5935896000 \[Pi] + 4549999392 \[Pi]^2 -
> > 978312168 \[Pi]^3 - 1564874343 \[Pi]^4 +
> > 236225160 \[Pi]^5 + 108093528 \[Pi]^6 -
> > 18912096 \[Pi]^7 + 66960 \[Pi]^8 -
> > 55296 \[Pi]^9)))^(1/3)) +
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 +
> > 5935896000 \[Pi] + 4549999392 \[Pi]^2 -
> > 978312168 \[Pi]^3 - 1564874343 \[Pi]^4 +
> > 236225160 \[Pi]^5 + 108093528 \[Pi]^6 -
> > 18912096 \[Pi]^7 + 66960 \[Pi]^8 -
> > 55296 \[Pi]^9)))^(1/3))))}, {t -> -((-1 -
> > 8 \[Pi] - 4 \[Pi]^2)/(4 (-7 + 2 \[Pi] + \[Pi]^2))) +
> > 1/2 \[Sqrt]((-1 - 8 \[Pi] - 4 \[Pi]^2)^2/(
> > 4 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 4 (8 + 13 \[Pi] + 3 \[Pi]^2))/(3 (-7 + 2 \[Pi] + \[Pi]^2)) +
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) +
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] + 2283 \[Pi]^2 +
> > 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) -
> > 1/2 \[Sqrt]((-1 - 8 \[Pi] - 4 \[Pi]^2)^2/(
> > 2 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 8 (8 + 13 \[Pi] + 3 \[Pi]^2))/(3 (-7 + 2 \[Pi] + \[Pi]^2)) -
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) -
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] + 2283 \[Pi]^2 +
> > 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(
> > 1/3) + (-((-1 - 8 \[Pi] - 4 \[Pi]^2)^3/(-7 +
> > 2 \[Pi] + \[Pi]^2)^3) + (
> > 16 (12 + 15 \[Pi] + 2 \[Pi]^2))/(-7 +
> > 2 \[Pi] + \[Pi]^2) + (
> > 8 (-1 - 8 \[Pi] - 4 \[Pi]^2) (8 + 13 \[Pi] +
> > 3 \[Pi]^2))/(-7 +
> > 2 \[Pi] + \[Pi]^2)^2)/(4 \[Sqrt]((-1 - 8 \[Pi] -
> > 4 \[Pi]^2)^2/(4 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 4 (8 + 13 \[Pi] + 3 \[Pi]^2))/(
> > 3 (-7 + 2 \[Pi] + \[Pi]^2)) +
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 +
> > 5935896000 \[Pi] + 4549999392 \[Pi]^2 -
> > 978312168 \[Pi]^3 - 1564874343 \[Pi]^4 +
> > 236225160 \[Pi]^5 + 108093528 \[Pi]^6 -
> > 18912096 \[Pi]^7 + 66960 \[Pi]^8 -
> > 55296 \[Pi]^9)))^(1/3)) +
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 +
> > 5935896000 \[Pi] + 4549999392 \[Pi]^2 -
> > 978312168 \[Pi]^3 - 1564874343 \[Pi]^4 +
> > 236225160 \[Pi]^5 + 108093528 \[Pi]^6 -
> > 18912096 \[Pi]^7 + 66960 \[Pi]^8 -
> > 55296 \[Pi]^9)))^(1/3))))}, {t -> -((-1 -
> > 8 \[Pi] - 4 \[Pi]^2)/(4 (-7 + 2 \[Pi] + \[Pi]^2))) +
> > 1/2 \[Sqrt]((-1 - 8 \[Pi] - 4 \[Pi]^2)^2/(
> > 4 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 4 (8 + 13 \[Pi] + 3 \[Pi]^2))/(3 (-7 + 2 \[Pi] + \[Pi]^2)) +
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> >
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) +
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] + 2283 \[Pi]^2 +
> > 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) +
> > 1/2 \[Sqrt]((-1 - 8 \[Pi] - 4 \[Pi]^2)^2/(
> > 2 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 8 (8 + 13 \[Pi] + 3 \[Pi]^2))/(3 (-7 + 2 \[Pi] + \[Pi]^2)) -
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(1/3)) -
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] + 2283 \[Pi]^2 +
> > 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 + 5935896000 \[Pi] +
> > 4549999392 \[Pi]^2 - 978312168 \[Pi]^3 -
> > 1564874343 \[Pi]^4 + 236225160 \[Pi]^5 +
> > 108093528 \[Pi]^6 - 18912096 \[Pi]^7 +
> > 66960 \[Pi]^8 - 55296 \[Pi]^9)))^(
> > 1/3) + (-((-1 - 8 \[Pi] - 4 \[Pi]^2)^3/(-7 +
> > 2 \[Pi] + \[Pi]^2)^3) + (
> > 16 (12 + 15 \[Pi] + 2 \[Pi]^2))/(-7 +
> > 2 \[Pi] + \[Pi]^2) + (
> > 8 (-1 - 8 \[Pi] - 4 \[Pi]^2) (8 + 13 \[Pi] +
> > 3 \[Pi]^2))/(-7 +
> > 2 \[Pi] + \[Pi]^2)^2)/(4 \[Sqrt]((-1 - 8 \[Pi] -
> > 4 \[Pi]^2)^2/(4 (-7 + 2 \[Pi] + \[Pi]^2)^2) - (
> > 4 (8 + 13 \[Pi] + 3 \[Pi]^2))/(
> > 3 (-7 + 2 \[Pi] + \[Pi]^2)) +
> > 1/(3 (-7 +
> > 2 \[Pi] + \[Pi]^2) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 +
> > 5935896000 \[Pi] + 4549999392 \[Pi]^2 -
> > 978312168 \[Pi]^3 - 1564874343 \[Pi]^4 +
> > 236225160 \[Pi]^5 + 108093528 \[Pi]^6 -
> > 18912096 \[Pi]^7 + 66960 \[Pi]^8 -
> > 55296 \[Pi]^9)))^(1/3)) +
> > 1/(3 (-7 + 2 \[Pi] + \[Pi]^2))(-488 - 650 \[Pi] +
> > 148 \[Pi]^2 +
> > 24 \[Pi]^3) (2/(-39400 - 51756 \[Pi] +
> > 2283 \[Pi]^2 + 8188 \[Pi]^3 -
> > 1044 \[Pi]^4 + \[Sqrt](2017217088 +
> > 5935896000 \[Pi] + 4549999392 \[Pi]^2 -
> > 978312168 \[Pi]^3 - 1564874343 \[Pi]^4 +
> > 236225160 \[Pi]^5 + 108093528 \[Pi]^6 -
> > 18912096 \[Pi]^7 + 66960 \[Pi]^8 -
> > 55296 \[Pi]^9)))^(1/3))))}}
>
> If you think any lady -- male, female, physics or otherwise -- is
> reading your ridiculous crap... well bravo!
>
> -- Mahipal “IPMM... माहिपाल ७६३८: I think you're off by a factor too!”
i do have juries to judge me the judgment from which matters as final word, i just gave you the chance to be among the first such
[toc] | [prev] | [next] | [standalone]
| From | Mahipal <mahipal7638@gmail.com> |
|---|---|
| Date | 2016-01-08 06:28 -0800 |
| Message-ID | <a347869e-d4a1-41ad-a3e8-d01a734c806f@googlegroups.com> |
| In reply to | #543751 |
On Thursday, January 7, 2016 at 5:28:04 PM UTC-5, dobri karagorgov wrote:
> On Thursday, January 7, 2016 at 11:25:07 PM UTC+1, Mahipal wrote:
> > On Thursday, January 7, 2016 at 2:43:53 PM UTC-5, dobri karagorgov wrote:
> > > On Thursday, January 7, 2016 at 8:35:23 PM UTC+1, Kym Horsell wrote:
> > > > dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
> > > > > On Thursday, January 7, 2016 at 8:20:03 PM UTC+1, Kym Horsell wrote:
> > > > >> dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
> > > > >> ...
> > > > >> >> yes they jumped to wrong conclusion but never exhausted all the approaches
> > > > >> and possibilities for solution. you've checked the doc right, you see that
> > > > >> concrete numbers favor me ??? concrete numbers agree with my
> > > > >> solutions with absolute 100% accuracy ???
> > > > >> > sorted out and refined the doc... latest version at: https://docs.google.com
> > > > >> I think I can wait until it can solve x^5-x+1 correctly and not
> > > > >> the not 100% correct x^5-x+1 = 0.000202425 +/- 0.00021254 i.
> > > > >> Maybe you jumped to the wrong conclusion.
> > > > >> --
> > > > >> Newsflash: Steve "Hellboy" Godard finds CO2 should only
> > > > >> cause 2.5% of the observed global warming.
> > > > >> If you want to continue to believe that kind of tripe, please
> > > > >> avert your eyes now.
> > > > >> <http://www.woodfortrees.org/plot/esrl-co2/mean:60/from:1960/normalise/plot/
> > > > >> gistemp/mean:60/from:1960/normalise>
> > > > >> (Mauna Loa CO2 ppmv from c1958 vs NASA's LOTI avg global temp index).
> > > > > try me again {{t -> 1/12 (9 - I Sqrt[15])}, {t -> 1/12 (9 + I Sqrt[15])}}
> > > > is solution for t^5 - t + 1 = 0. i told you i was evaluating the binary
> > > > coefficient wrongfully as 2!/1!/1!.
> > > >
> > > > I think you jumped to another even more wrong conclusion.
> > > >
> > > > t ~= 0.75 -0.322749 i
> > > > t^5 - t + 1 ~= 0.0885417 -0.00224131 i
> > > >
> > > > --
> > > > During the late 1940s, Adamski wrote a novel, entitled Pioneers of
> > > > Space, about an imaginary trip to the moon, Venus and Mars. He listed
> > > > the book with the Library of Congress for copyright purposes as a work
> > > > of fiction. In 1953, Adamski co-authored Flying Saucers Have Landed
> > > > (New York: The British Book Centre) with British author Desmond
> > > > Leslie. The book, which was highly successful, tells of Adamski's
> > > > first alleged contact with SPACE PEOPLE. According to Adamski's and
> > > > Leslie's account, on November 20, 1952, Adamski went into the desert
> > > > accom~am'ed by anthropologist George Hunt Wifliamson, his wife Betty
> > > > Williamson, also an anthropologist and chemist, Mr. and Mrs. Al
> > > > Bailey, Lucy McGinnis and Alice K. Wells. After spotting a
> > > > CIGAR-SHAPED UFO, the others waited by the car while Adamski went into
> > > > a small canyon. There he purportedly met with a Venusian with whom he
> > > > communicated telepathically and by means of sign language. The
> > > > Venusian told Adamski he had come to Earth to stop atomic testing
> > > > because the radiation from fallout was dangerous to the other planets
> > > > in the solar system. After the spacecraft had left, Adamski noticed
> > > > that the Venusian had left deep footprints in the sand. Within the
> > > > outline of the footprints were strange hieroglyphics. The group
> > > > happened to have brought along some plaster of Paris with which George
> > > > Hunt Williamson was able to make a cast of the footprint.
> > > > -- <http://www.galeon.com/ignaciodarnaude/bibliografia_paracientifica/
> > > > Encyclopedia%20UFO%20M.Sachs.html>
> >
> > In Reality, copyright matters not. Ask any plagiarist.
<trim>
> i do have juries to judge me the judgment from which matters as
>final word, i just gave you the chance to be among the first such
Be real, judges and juries are as reliable as politicians on Mondays.
Most of all, your posting history is sparse. Were you born yesterday?
Also, please don't post just another useless polynomial. Physics NG here.
-- Mahipal “IPMM... माहिपाल ७६३८: Imagine The(y)TheThem killed John Lennon.”
[toc] | [prev] | [next] | [standalone]
| From | dobri karagorgov <dobrikarate.gov@gmail.com> |
|---|---|
| Date | 2016-01-08 11:00 -0800 |
| Message-ID | <7dfd5b8f-9d44-470f-b943-753dc020847e@googlegroups.com> |
| In reply to | #543844 |
On Friday, January 8, 2016 at 3:28:46 PM UTC+1, Mahipal wrote:
> On Thursday, January 7, 2016 at 5:28:04 PM UTC-5, dobri karagorgov wrote:
> > On Thursday, January 7, 2016 at 11:25:07 PM UTC+1, Mahipal wrote:
> > > On Thursday, January 7, 2016 at 2:43:53 PM UTC-5, dobri karagorgov wrote:
> > > > On Thursday, January 7, 2016 at 8:35:23 PM UTC+1, Kym Horsell wrote:
> > > > > dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
> > > > > > On Thursday, January 7, 2016 at 8:20:03 PM UTC+1, Kym Horsell wrote:
> > > > > >> dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
> > > > > >> ...
> > > > > >> >> yes they jumped to wrong conclusion but never exhausted all the approaches
> > > > > >> and possibilities for solution. you've checked the doc right, you see that
> > > > > >> concrete numbers favor me ??? concrete numbers agree with my
> > > > > >> solutions with absolute 100% accuracy ???
> > > > > >> > sorted out and refined the doc... latest version at: https://docs.google.com
> > > > > >> I think I can wait until it can solve x^5-x+1 correctly and not
> > > > > >> the not 100% correct x^5-x+1 = 0.000202425 +/- 0.00021254 i.
> > > > > >> Maybe you jumped to the wrong conclusion.
> > > > > >> --
> > > > > >> Newsflash: Steve "Hellboy" Godard finds CO2 should only
> > > > > >> cause 2.5% of the observed global warming.
> > > > > >> If you want to continue to believe that kind of tripe, please
> > > > > >> avert your eyes now.
> > > > > >> <http://www.woodfortrees.org/plot/esrl-co2/mean:60/from:1960/normalise/plot/
> > > > > >> gistemp/mean:60/from:1960/normalise>
> > > > > >> (Mauna Loa CO2 ppmv from c1958 vs NASA's LOTI avg global temp index).
> > > > > > try me again {{t -> 1/12 (9 - I Sqrt[15])}, {t -> 1/12 (9 + I Sqrt[15])}}
> > > > > is solution for t^5 - t + 1 = 0. i told you i was evaluating the binary
> > > > > coefficient wrongfully as 2!/1!/1!.
> > > > >
> > > > > I think you jumped to another even more wrong conclusion.
> > > > >
> > > > > t ~= 0.75 -0.322749 i
> > > > > t^5 - t + 1 ~= 0.0885417 -0.00224131 i
> > > > >
> > > > > --
> > > > > During the late 1940s, Adamski wrote a novel, entitled Pioneers of
> > > > > Space, about an imaginary trip to the moon, Venus and Mars. He listed
> > > > > the book with the Library of Congress for copyright purposes as a work
> > > > > of fiction. In 1953, Adamski co-authored Flying Saucers Have Landed
> > > > > (New York: The British Book Centre) with British author Desmond
> > > > > Leslie. The book, which was highly successful, tells of Adamski's
> > > > > first alleged contact with SPACE PEOPLE. According to Adamski's and
> > > > > Leslie's account, on November 20, 1952, Adamski went into the desert
> > > > > accom~am'ed by anthropologist George Hunt Wifliamson, his wife Betty
> > > > > Williamson, also an anthropologist and chemist, Mr. and Mrs. Al
> > > > > Bailey, Lucy McGinnis and Alice K. Wells. After spotting a
> > > > > CIGAR-SHAPED UFO, the others waited by the car while Adamski went into
> > > > > a small canyon. There he purportedly met with a Venusian with whom he
> > > > > communicated telepathically and by means of sign language. The
> > > > > Venusian told Adamski he had come to Earth to stop atomic testing
> > > > > because the radiation from fallout was dangerous to the other planets
> > > > > in the solar system. After the spacecraft had left, Adamski noticed
> > > > > that the Venusian had left deep footprints in the sand. Within the
> > > > > outline of the footprints were strange hieroglyphics. The group
> > > > > happened to have brought along some plaster of Paris with which George
> > > > > Hunt Williamson was able to make a cast of the footprint.
> > > > > -- <http://www.galeon.com/ignaciodarnaude/bibliografia_paracientifica/
> > > > > Encyclopedia%20UFO%20M.Sachs.html>
> > >
> > > In Reality, copyright matters not. Ask any plagiarist.
>
> <trim>
>
> > i do have juries to judge me the judgment from which matters as
> >final word, i just gave you the chance to be among the first such
>
> Be real, judges and juries are as reliable as politicians on Mondays.
>
> Most of all, your posting history is sparse. Were you born yesterday?
>
> Also, please don't post just another useless polynomial. Physics NG here.
>
> -- Mahipal “IPMM... माहिपाल ७६३८: Imagine The(y)TheThem killed John Lennon.”
Ha, ha, ha... here is the simplest way to solution:\>
Solve[{a4 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a3 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a2 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a1 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a0 == Random[Complex, {-10 - 10 I, +10 + 10 I}]}, {a4, a3, a2, a1,
a0}][[1]]
{a4 -> -8.30298 - 4.72983 I, a3 -> 4.01453 + 6.13921 I,
a2 -> 2.03686 + 5.01094 I, a1 -> 7.83078 + 8.28426 I,
a0 -> 1.43986 + 3.38058 I}
In[9]:= Solve[m/x == n x, x]
Out[9]= {{x -> -(Sqrt[m]/Sqrt[n])}, {x -> Sqrt[m]/Sqrt[n]}}
In[10]:= ReplaceAll[{m/x, n x}, {x -> Sqrt[m]/Sqrt[n]}]
Out[10]= {Sqrt[m] Sqrt[n], Sqrt[m] Sqrt[n]}
In[14]:= ReplaceAll[t^(5/x) == (-(-t + 1))^(1 x), Solve[5/x == 1 x, x][[2]]]
Out[14]= t^Sqrt[5] == (-1 + t)^Sqrt[5]
In[15]:= Collect[t^Sqrt[5] ==
ReplaceAll[
Sum[(n! a^(n - k) b^k)/(k! (n - k)!), {k, 0, n, Sqrt[5]/4}], {n -> Sqrt[5],
a -> t, b -> -1}], t]
Out[15]= t^Sqrt[5] == (-1)^Sqrt[5] + t^Sqrt[5] + (
I^Sqrt[5] t^(Sqrt[5]/2) Sqrt[5]!)/((Sqrt[5]/2)!)^2 + ((-1)^((3 Sqrt[5])/4)
t^(Sqrt[5]/4) Sqrt[5]!)/((Sqrt[5]/4)! ((3 Sqrt[5])/4)!) + ((-1)^(Sqrt[5]/
4) t^((3 Sqrt[5])/4) Sqrt[5]!)/((Sqrt[5]/4)! ((3 Sqrt[5])/4)!)
In[26]:= N[ReplaceAll[
Solve[0 == (-1)^Sqrt[5] + (
I^Sqrt[5] x^2 Sqrt[5]!)/((Sqrt[5]/2)!)^2 + ((-1)^((3 Sqrt[5])/4)
x Sqrt[5]!)/((Sqrt[5]/4)! ((3 Sqrt[5])/4)!) + ((-1)^(Sqrt[5]/4)
x^3 Sqrt[5]!)/((Sqrt[5]/4)! ((3 Sqrt[5])/4)!), x],
Solve[t^(Sqrt[5]/4) == x, x][[1]]]]
In[27]:= Solve[(t^0.5590169943749475` - (0.14739824834890441` -
0.7858662474105508` I)) (t^0.5590169943749475` - (-0.7417477424309309` \
- 0.34817990743496763` I)) (t^0.5590169943749475` - (0.8175046019208685` -
0.05572420641882503` I)) == 0, t]
During evaluation of In[27]:= Solve::ifun: Inverse functions are being used by Solve, so some solutions may not be found; use Reduce for complete solution information. >>
Out[27]= {{t -> -0.528104 - 0.412692 I}, {t -> 0.695075 - 0.0850437 I}}
In[28]:= N[ReplaceAll[
t^5 - t + 1, {{t -> -0.5281042397091176` - 0.4126924553723451` I}, {t ->
0.6950751703712601` - 0.08504374480435843` I}}]]
Out[28]= {1.66128 + 0.43625 I, 0.44306 - 0.0112411 I}
[toc] | [prev] | [next] | [standalone]
| From | dobri karagorgov <dobrikarate.gov@gmail.com> |
|---|---|
| Date | 2016-01-08 11:49 -0800 |
| Message-ID | <9cafefe4-df67-4a8f-b898-389f3f43cd89@googlegroups.com> |
| In reply to | #543864 |
you see now how the degrees in polynomials level down to same exponents:
x^n = y^m <=> x^(Sqrt[n]^2) = y^(Sqrt[m]^2) <=> x^(Sqrt[n/m]) = y^(Sqrt[m/n]) with Sqrt[n m] = Sqrt[m n]
Solve[{a4 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a3 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a2 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a1 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a0 == Random[Complex, {-10 - 10 I, +10 + 10 I}]}, {a4, a3, a2, a1,
a0}][[1]]
{a4 -> -8.30298 - 4.72983 I, a3 -> 4.01453 + 6.13921 I,
a2 -> 2.03686 + 5.01094 I, a1 -> 7.83078 + 8.28426 I,
a0 -> 1.43986 + 3.38058 I}
In[9]:= ReplaceAll[(t^5)^(1/x) == (a4 t^4 + a3 t^3 + a2 t^2 + a1 t +
a0)^x, Solve[5/x == 4 x, x][[2]]]
Out[9]= (t^5)^(2/Sqrt[5]) == (a0 + a1 t + a2 t^2 + a3 t^3 +
a4 t^4)^(Sqrt[5]/2)
In[15]:= t^((5 2)/Sqrt[5]) ==
ReplaceAll[
Sum[(n! a^(n - k) b^k)/(
k! (n - k)!), {k, 0, n, Sqrt[5]/4}], {n -> Sqrt[5]/2,
a -> a0 + a1 t + a2 t^2 + a3 t^3, b -> a4 t^4}]
Out[15]= t^(
2 Sqrt[5]) == (a4 t^4)^(Sqrt[5]/2) + (a0 + a1 t + a2 t^2 + a3 t^3)^(
Sqrt[5]/2) + ((a4 t^4)^(Sqrt[5]/4) (a0 + a1 t + a2 t^2 + a3 t^3)^(
Sqrt[5]/4) (Sqrt[5]/2)!)/((Sqrt[5]/4)!)^2
[toc] | [prev] | [next] | [standalone]
| From | dobri karagorgov <dobrikarate.gov@gmail.com> |
|---|---|
| Date | 2016-01-08 12:16 -0800 |
| Message-ID | <df9e518a-78b7-4ce3-9c7b-bd5df805c72c@googlegroups.com> |
| In reply to | #543864 |
THIS IS THE END MY FRIENDS !!!
AMAZING 100% ACCURACY, WOW !!!
Solve[{a4 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a3 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a2 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a1 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
a0 == Random[Complex, {-10 - 10 I, +10 + 10 I}]}, {a4, a3, a2, a1,
a0}][[1]]
{a4 -> -8.30298 - 4.72983 I, a3 -> 4.01453 + 6.13921 I,
a2 -> 2.03686 + 5.01094 I, a1 -> 7.83078 + 8.28426 I,
a0 -> 1.43986 + 3.38058 I}
In[17]:= ReplaceAll[t^(1/x) == ((a4 t^4 + a2 t^2 + a0)/(t^4 + a3 t^3 + a1))^x,
Solve[4/x == 1 x, x][[2]]]
In[21]:= Collect[Expand[
Sqrt[t] (a1 + a3 t^3 + t^4)^2 - (a0 + a2 t^2 + a4 t^4)^2], {Sqrt[t]}]
Out[21]= -a0^2 + a1^2 Sqrt[t] - 2 a0 a2 t^2 +
2 a1 a3 t^(7/2) + (-a2^2 - 2 a0 a4) t^4 + 2 a1 t^(9/2) - 2 a2 a4 t^6 +
a3^2 t^(13/2) + 2 a3 t^(15/2) - a4^2 t^8 + t^(17/2)
In[22]:= Collect[Expand[(-a0^2 - 2 a0 a2 t^2 + (-a2^2 - 2 a0 a4) t^4 - 2 a2 a4 t^6 -
a4^2 t^8)^2 - (Sqrt[
t] (+a1^2 + 2 a1 a3 t^3 + 2 a1 t^4 + a3^2 t^6 + 2 a3 t^7 + t^8))^2], t]
In[25]:= PolynomialReduce[
a0^4 - a1^4 t + 4 a0^3 a2 t^2 + (6 a0^2 a2^2 - 4 a1^3 a3 + 4 a0^3 a4) t^4 -
4 a1^3 t^5 + (4 a0 a2^3 + 12 a0^2 a2 a4) t^6 -
6 a1^2 a3^2 t^7 + (a2^4 - 12 a1^2 a3 + 12 a0 a2^2 a4 + 6 a0^2 a4^2) t^8 -
6 a1^2 t^9 + (-4 a1 a3^3 + 4 a2^3 a4 + 12 a0 a2 a4^2) t^10 -
12 a1 a3^2 t^11 + (-12 a1 a3 + 6 a2^2 a4^2 + 4 a0 a4^3) t^12 + (-4 a1 -
a3^4) t^13 + (-4 a3^3 + 4 a2 a4^3) t^14 -
6 a3^2 t^15 + (-4 a3 + a4^4) t^16 - t^17,
t^5 + a4 t^4 + a3 t^3 + a2 t^2 + a1 t + a0, t][[2]]
ReplaceAll[
PolynomialReduce[
a0^4 - a1^4 t +
4 a0^3 a2 t^2 + (6 a0^2 a2^2 - 4 a1^3 a3 + 4 a0^3 a4) t^4 -
4 a1^3 t^5 + (4 a0 a2^3 + 12 a0^2 a2 a4) t^6 -
6 a1^2 a3^2 t^7 + (a2^4 - 12 a1^2 a3 + 12 a0 a2^2 a4 + 6 a0^2 a4^2) t^8 -
6 a1^2 t^9 + (-4 a1 a3^3 + 4 a2^3 a4 + 12 a0 a2 a4^2) t^10 -
12 a1 a3^2 t^11 + (-12 a1 a3 + 6 a2^2 a4^2 + 4 a0 a4^3) t^12 + (-4 a1 -
a3^4) t^13 + (-4 a3^3 + 4 a2 a4^3) t^14 -
6 a3^2 t^15 + (-4 a3 + a4^4) t^16 - t^17,
t^5 + a4 t^4 + a3 t^3 + a2 t^2 + a1 t + a0,
t][[2]], {a4 -> -8.302983934369468` - 4.729827061190436` I,
a3 -> 4.014528300670566` + 6.139211446696198` I,
a2 -> 2.0368603800052796` + 5.010935176354607` I,
a1 -> 7.830776457647211` + 8.284256583975676` I,
a0 -> 1.4398560322379073` + 3.380581290747573` I}]
Out[25]= a0^4 + a0 a1^3 + 2 a0^2 a1 a2 + a0 a2^4 + a0 a2^5 - 3 a0^3 a3 -
12 a0^2 a2^2 a3 + 6 a0^3 a3^2 + 12 a0^2 a2 a3^2 - 6 a0 a1 a2^2 a3^2 +
16 a0 a2^3 a3^2 + 4 a0^2 a1 a3^3 - 36 a0^2 a2 a3^3 + 12 a0 a1 a2 a3^3 -
10 a0 a2^2 a3^3 - 4 a0 a2^3 a3^3 + 16 a0^2 a3^4 - a0 a1 a3^4 +
a0 a1^2 a3^4 + 2 a0^2 a2 a3^4 - 16 a0 a1 a2 a3^4 + 36 a0 a2^2 a3^4 -
12 a0^2 a3^5 + 12 a0 a1 a3^5 - 20 a0 a2 a3^5 - 3 a0 a2^2 a3^5 + a0 a3^6 -
3 a0 a1 a3^6 + 16 a0 a2 a3^6 - 6 a0 a3^7 + a0 a3^8 + 12 a0^2 a2^2 a4 +
20 a0^2 a2^3 a4 - 12 a0^3 a3 a4 + 12 a0 a1 a2^2 a3 a4 - 20 a0 a2^3 a3 a4 -
10 a0 a2^4 a3 a4 - 12 a0^2 a1 a3^2 a4 + 96 a0^2 a2 a3^2 a4 -
12 a0 a1 a2 a3^2 a4 + 24 a0 a2^3 a3^2 a4 - 20 a0^2 a3^3 a4 -
4 a0 a1^2 a3^3 a4 - 24 a0^2 a2 a3^3 a4 + 72 a0 a1 a2 a3^3 a4 -
120 a0 a2^2 a3^3 a4 + 72 a0^2 a3^4 a4 - 32 a0 a1 a3^4 a4 +
30 a0 a2 a3^4 a4 - 6 a0 a1 a2 a3^4 a4 + 48 a0 a2^2 a3^4 a4 -
6 a0^2 a3^5 a4 + 36 a0 a1 a3^5 a4 - 120 a0 a2 a3^5 a4 + 24 a0 a3^6 a4 +
12 a0 a2 a3^6 a4 - 20 a0 a3^7 a4 + 6 a0^3 a4^2 + 30 a0^3 a2 a4^2 -
6 a0 a1 a2^2 a4^2 - 20 a0 a1 a2^3 a4^2 + 12 a0^2 a1 a3 a4^2 -
60 a0^2 a2 a3 a4^2 - 60 a0^2 a2^2 a3 a4^2 - 40 a0 a2^3 a3 a4^2 +
6 a0 a1^2 a3^2 a4^2 + 72 a0^2 a2 a3^2 a4^2 - 96 a0 a1 a2 a3^2 a4^2 +
90 a0 a2^2 a3^2 a4^2 + 30 a0 a2^3 a3^2 a4^2 - 120 a0^2 a3^3 a4^2 +
20 a0 a1 a3^3 a4^2 + 36 a0 a1 a2 a3^3 a4^2 - 180 a0 a2^2 a3^3 a4^2 +
48 a0^2 a3^4 a4^2 - 108 a0 a1 a3^4 a4^2 + 240 a0 a2 a3^4 a4^2 +
6 a0 a2^2 a3^4 a4^2 - 21 a0 a3^5 a4^2 + 12 a0 a1 a3^5 a4^2 -
120 a0 a2 a3^5 a4^2 + 90 a0 a3^6 a4^2 - 10 a0 a3^7 a4^2 - 4 a0^2 a1 a4^3 -
40 a0^2 a1 a2 a4^3 + 20 a0 a2^3 a4^3 + 35 a0 a2^4 a4^3 - 20 a0^3 a3 a4^3 -
4 a0 a1^2 a3 a4^3 - 80 a0^2 a2 a3 a4^3 + 40 a0 a1 a2 a3 a4^3 +
60 a0 a1 a2^2 a3 a4^3 + 60 a0^2 a3^2 a4^3 + 60 a0^2 a2 a3^2 a4^3 -
72 a0 a1 a2 a3^2 a4^3 + 240 a0 a2^2 a3^2 a4^3 - 120 a0^2 a3^3 a4^3 +
120 a0 a1 a3^3 a4^3 - 140 a0 a2 a3^3 a4^3 - 80 a0 a2^2 a3^3 a4^3 +
4 a0^2 a3^4 a4^3 - 64 a0 a1 a3^4 a4^3 + 360 a0 a2 a3^4 a4^3 -
140 a0 a3^5 a4^3 - 20 a0 a2 a3^5 a4^3 + 80 a0 a3^6 a4^3 + a0 a1^2 a4^4 +
30 a0^2 a2 a4^4 + 15 a0 a1^2 a2 a4^4 + 105 a0^2 a2^2 a4^4 +
30 a0^2 a1 a3 a4^4 + 60 a0 a1 a2 a3 a4^4 - 105 a0 a2^2 a3 a4^4 -
140 a0 a2^3 a3 a4^4 + 120 a0^2 a3^2 a4^4 - 45 a0 a1 a3^2 a4^4 -
60 a0 a1 a2 a3^2 a4^4 + 90 a0 a2^2 a3^2 a4^4 - 40 a0^2 a3^3 a4^4 +
120 a0 a1 a3^3 a4^4 - 420 a0 a2 a3^3 a4^4 + 70 a0 a3^4 a4^4 -
5 a0 a1 a3^4 a4^4 + 145 a0 a2 a3^4 a4^4 - 210 a0 a3^5 a4^4 +
15 a0 a3^6 a4^4 + 21 a0^3 a4^5 - 18 a0 a1 a2 a4^5 - 84 a0 a1 a2^2 a4^5 -
42 a0^2 a3 a4^5 - 12 a0 a1^2 a3 a4^5 - 168 a0^2 a2 a3 a4^5 -
84 a0 a2^2 a3 a4^5 + 36 a0^2 a3^2 a4^5 - 96 a0 a1 a3^2 a4^5 +
168 a0 a2 a3^2 a4^5 + 210 a0 a2^2 a3^2 a4^5 + 40 a0 a1 a3^3 a4^5 -
252 a0 a2 a3^3 a4^5 + 224 a0 a3^4 a4^5 + 6 a0 a2 a3^4 a4^5 -
90 a0 a3^5 a4^5 - 28 a0^2 a1 a4^6 + 28 a0 a2^2 a4^6 + 84 a0 a2^3 a4^6 -
28 a0^2 a3 a4^6 + 28 a0 a1 a3 a4^6 + 140 a0 a1 a2 a3 a4^6 +
70 a0^2 a3^2 a4^6 - 30 a0 a1 a3^2 a4^6 + 224 a0 a2 a3^2 a4^6 -
84 a0 a3^3 a4^6 - 168 a0 a2 a3^3 a4^6 + 168 a0 a3^4 a4^6 - 7 a0 a3^5 a4^6 +
8 a0^2 a4^7 + 10 a0 a1^2 a4^7 + 72 a0^2 a2 a4^7 + 20 a0 a1 a3 a4^7 -
72 a0 a2 a3 a4^7 - 216 a0 a2^2 a3 a4^7 - 60 a0 a1 a3^2 a4^7 +
48 a0 a2 a3^2 a4^7 - 144 a0 a3^3 a4^7 + 67 a0 a3^4 a4^7 - 5 a0 a1 a4^8 -
54 a0 a1 a2 a4^8 - 54 a0^2 a3 a4^8 - 36 a0 a2 a3 a4^8 + 45 a0 a3^2 a4^8 +
189 a0 a2 a3^2 a4^8 - 54 a0 a3^3 a4^8 + a0 a3^4 a4^8 + 10 a0 a2 a4^9 +
55 a0 a2^2 a4^9 + 42 a0 a1 a3 a4^9 + 40 a0 a3^2 a4^9 - 60 a0 a3^3 a4^9 +
11 a0^2 a4^10 - 11 a0 a3 a4^10 - 88 a0 a2 a3 a4^10 + 6 a0 a3^2 a4^10 -
8 a0 a1 a4^11 - 4 a0 a3 a4^11 + 36 a0 a3^2 a4^11 + a0 a4^12 +
13 a0 a2 a4^12 - 10 a0 a3 a4^13 +
a0 a4^15 + (a0 a1^2 a2 - 3 a0^2 a2^2 - 4 a0^2 a2^3 + a1 a2^4 + a1 a2^5 +
4 a0^3 a3 - a0^2 a1 a3 - 12 a0 a1 a2^2 a3 + 4 a0 a2^3 a3 + a0 a2^4 a3 +
6 a0^2 a1 a3^2 - 24 a0^2 a2 a3^2 + 12 a0 a1 a2 a3^2 - 6 a1^2 a2^2 a3^2 -
6 a0 a2^3 a3^2 + 16 a1 a2^3 a3^2 + 4 a0^2 a3^3 + 4 a0 a1^2 a3^3 +
8 a0^2 a2 a3^3 - 48 a0 a1 a2 a3^3 + 12 a1^2 a2 a3^3 + 24 a0 a2^2 a3^3 -
10 a1 a2^2 a3^3 - 4 a1 a2^3 a3^3 - 18 a0^2 a3^4 + 20 a0 a1 a3^4 -
a1^2 a3^4 + a1^3 a3^4 - 5 a0 a2 a3^4 + 4 a0 a1 a2 a3^4 -
16 a1^2 a2 a3^4 - 12 a0 a2^2 a3^4 + 36 a1 a2^2 a3^4 + 2 a0^2 a3^5 -
20 a0 a1 a3^5 + 12 a1^2 a3^5 + 24 a0 a2 a3^5 - 20 a1 a2 a3^5 -
3 a1 a2^2 a3^5 - 4 a0 a3^6 + a1 a3^6 - 3 a1^2 a3^6 - 3 a0 a2 a3^6 +
16 a1 a2 a3^6 + 4 a0 a3^7 - 6 a1 a3^7 + a1 a3^8 - 3 a0^3 a4 -
12 a0^3 a2 a4 + 12 a0 a1 a2^2 a4 + 24 a0 a1 a2^3 a4 - 12 a0^2 a1 a3 a4 +
24 a0^2 a2 a3 a4 + 12 a0^2 a2^2 a3 a4 + 12 a1^2 a2^2 a3 a4 +
16 a0 a2^3 a3 a4 - 20 a1 a2^3 a3 a4 - 10 a1 a2^4 a3 a4 -
12 a0 a1^2 a3^2 a4 - 36 a0^2 a2 a3^2 a4 + 120 a0 a1 a2 a3^2 a4 -
12 a1^2 a2 a3^2 a4 - 30 a0 a2^2 a3^2 a4 - 4 a0 a2^3 a3^2 a4 +
24 a1 a2^3 a3^2 a4 + 48 a0^2 a3^3 a4 - 24 a0 a1 a3^3 a4 -
4 a1^3 a3^3 a4 - 40 a0 a1 a2 a3^3 a4 + 72 a1^2 a2 a3^3 a4 +
72 a0 a2^2 a3^3 a4 - 120 a1 a2^2 a3^3 a4 - 24 a0^2 a3^4 a4 +
108 a0 a1 a3^4 a4 - 32 a1^2 a3^4 a4 - 80 a0 a2 a3^4 a4 +
30 a1 a2 a3^4 a4 - 6 a1^2 a2 a3^4 a4 - 3 a0 a2^2 a3^4 a4 +
48 a1 a2^2 a3^4 a4 + 6 a0 a3^5 a4 - 12 a0 a1 a3^5 a4 + 36 a1^2 a3^5 a4 +
48 a0 a2 a3^5 a4 - 120 a1 a2 a3^5 a4 - 30 a0 a3^6 a4 + 24 a1 a3^6 a4 +
12 a1 a2 a3^6 a4 + 4 a0 a3^7 a4 - 20 a1 a3^7 a4 + 6 a0^2 a1 a4^2 +
42 a0^2 a1 a2 a4^2 - 6 a1^2 a2^2 a4^2 - 10 a0 a2^3 a4^2 -
20 a1^2 a2^3 a4^2 - 15 a0 a2^4 a4^2 + 6 a0^3 a3 a4^2 +
12 a0 a1^2 a3 a4^2 + 48 a0^2 a2 a3 a4^2 - 72 a0 a1 a2 a3 a4^2 -
72 a0 a1 a2^2 a3 a4^2 - 40 a1 a2^3 a3 a4^2 - 30 a0^2 a3^2 a4^2 +
6 a1^3 a3^2 a4^2 - 12 a0^2 a2 a3^2 a4^2 + 108 a0 a1 a2 a3^2 a4^2 -
96 a1^2 a2 a3^2 a4^2 - 120 a0 a2^2 a3^2 a4^2 + 90 a1 a2^2 a3^2 a4^2 +
30 a1 a2^3 a3^2 a4^2 + 72 a0^2 a3^3 a4^2 - 168 a0 a1 a3^3 a4^2 +
20 a1^2 a3^3 a4^2 + 60 a0 a2 a3^3 a4^2 + 36 a1^2 a2 a3^3 a4^2 +
30 a0 a2^2 a3^3 a4^2 - 180 a1 a2^2 a3^3 a4^2 - 3 a0^2 a3^4 a4^2 +
84 a0 a1 a3^4 a4^2 - 108 a1^2 a3^4 a4^2 - 180 a0 a2 a3^4 a4^2 +
240 a1 a2 a3^4 a4^2 + 6 a1 a2^2 a3^4 a4^2 + 60 a0 a3^5 a4^2 -
21 a1 a3^5 a4^2 + 12 a1^2 a3^5 a4^2 + 12 a0 a2 a3^5 a4^2 -
120 a1 a2 a3^5 a4^2 - 40 a0 a3^6 a4^2 + 90 a1 a3^6 a4^2 -
10 a1 a3^7 a4^2 - 4 a0 a1^2 a4^3 - 20 a0^2 a2 a4^3 - 44 a0 a1^2 a2 a4^3 -
60 a0^2 a2^2 a4^3 + 20 a1 a2^3 a4^3 + 35 a1 a2^4 a4^3 -
28 a0^2 a1 a3 a4^3 - 4 a1^3 a3 a4^3 - 112 a0 a1 a2 a3 a4^3 +
40 a1^2 a2 a3 a4^3 + 60 a0 a2^2 a3 a4^3 + 60 a1^2 a2^2 a3 a4^3 +
60 a0 a2^3 a3 a4^3 - 80 a0^2 a3^2 a4^3 + 80 a0 a1 a3^2 a4^3 +
72 a0 a1 a2 a3^2 a4^3 - 72 a1^2 a2 a3^2 a4^3 - 60 a0 a2^2 a3^2 a4^3 +
240 a1 a2^2 a3^2 a4^3 + 20 a0^2 a3^3 a4^3 - 192 a0 a1 a3^3 a4^3 +
120 a1^2 a3^3 a4^3 + 240 a0 a2 a3^3 a4^3 - 140 a1 a2 a3^3 a4^3 -
80 a1 a2^2 a3^3 a4^3 - 35 a0 a3^4 a4^3 + 8 a0 a1 a3^4 a4^3 -
64 a1^2 a3^4 a4^3 - 84 a0 a2 a3^4 a4^3 + 360 a1 a2 a3^4 a4^3 +
120 a0 a3^5 a4^3 - 140 a1 a3^5 a4^3 - 20 a1 a2 a3^5 a4^3 -
10 a0 a3^6 a4^3 + 80 a1 a3^6 a4^3 - 15 a0^3 a4^4 + a1^3 a4^4 +
40 a0 a1 a2 a4^4 + 15 a1^3 a2 a4^4 + 150 a0 a1 a2^2 a4^4 +
30 a0^2 a3 a4^4 + 33 a0 a1^2 a3 a4^4 + 90 a0^2 a2 a3 a4^4 +
60 a1^2 a2 a3 a4^4 + 60 a0 a2^2 a3 a4^4 - 105 a1 a2^2 a3 a4^4 -
140 a1 a2^3 a3 a4^4 - 30 a0^2 a3^2 a4^4 + 180 a0 a1 a3^2 a4^4 -
45 a1^2 a3^2 a4^4 - 105 a0 a2 a3^2 a4^4 - 60 a1^2 a2 a3^2 a4^4 -
90 a0 a2^2 a3^2 a4^4 + 90 a1 a2^2 a3^2 a4^4 - 60 a0 a1 a3^3 a4^4 +
120 a1^2 a3^3 a4^4 + 180 a0 a2 a3^3 a4^4 - 420 a1 a2 a3^3 a4^4 -
140 a0 a3^4 a4^4 + 70 a1 a3^4 a4^4 - 5 a1^2 a3^4 a4^4 -
5 a0 a2 a3^4 a4^4 + 145 a1 a2 a3^4 a4^4 + 61 a0 a3^5 a4^4 -
210 a1 a3^5 a4^4 + 15 a1 a3^6 a4^4 + 39 a0^2 a1 a4^5 - 18 a1^2 a2 a4^5 -
21 a0 a2^2 a4^5 - 84 a1^2 a2^2 a4^5 - 56 a0 a2^3 a4^5 + 24 a0^2 a3 a4^5 -
60 a0 a1 a3 a4^5 - 12 a1^3 a3 a4^5 - 240 a0 a1 a2 a3 a4^5 -
84 a1 a2^2 a3 a4^5 - 36 a0^2 a3^2 a4^5 + 60 a0 a1 a3^2 a4^5 -
96 a1^2 a3^2 a4^5 - 168 a0 a2 a3^2 a4^5 + 168 a1 a2 a3^2 a4^5 +
210 a1 a2^2 a3^2 a4^5 + 56 a0 a3^3 a4^5 + 40 a1^2 a3^3 a4^5 +
84 a0 a2 a3^3 a4^5 - 252 a1 a2 a3^3 a4^5 - 126 a0 a3^4 a4^5 +
224 a1 a3^4 a4^5 + 6 a1 a2 a3^4 a4^5 + 6 a0 a3^5 a4^5 - 90 a1 a3^5 a4^5 -
7 a0^2 a4^6 - 34 a0 a1^2 a4^6 - 56 a0^2 a2 a4^6 + 28 a1 a2^2 a4^6 +
84 a1 a2^3 a4^6 - 44 a0 a1 a3 a4^6 + 28 a1^2 a3 a4^6 + 56 a0 a2 a3 a4^6 +
140 a1^2 a2 a3 a4^6 + 140 a0 a2^2 a3 a4^6 + 100 a0 a1 a3^2 a4^6 -
30 a1^2 a3^2 a4^6 - 42 a0 a2 a3^2 a4^6 + 224 a1 a2 a3^2 a4^6 +
112 a0 a3^3 a4^6 - 84 a1 a3^3 a4^6 - 168 a1 a2 a3^3 a4^6 -
43 a0 a3^4 a4^6 + 168 a1 a3^4 a4^6 - 7 a1 a3^5 a4^6 + 12 a0 a1 a4^7 +
10 a1^3 a4^7 + 112 a0 a1 a2 a4^7 + 40 a0^2 a3 a4^7 + 20 a1^2 a3 a4^7 +
32 a0 a2 a3 a4^7 - 72 a1 a2 a3 a4^7 - 216 a1 a2^2 a3 a4^7 -
36 a0 a3^2 a4^7 - 60 a1^2 a3^2 a4^7 - 120 a0 a2 a3^2 a4^7 +
48 a1 a2 a3^2 a4^7 + 48 a0 a3^3 a4^7 - 144 a1 a3^3 a4^7 - a0 a3^4 a4^7 +
67 a1 a3^4 a4^7 - 5 a1^2 a4^8 - 9 a0 a2 a4^8 - 54 a1^2 a2 a4^8 -
45 a0 a2^2 a4^8 - 84 a0 a1 a3 a4^8 - 36 a1 a2 a3 a4^8 - 36 a0 a3^2 a4^8 +
45 a1 a3^2 a4^8 + 189 a1 a2 a3^2 a4^8 + 39 a0 a3^3 a4^8 -
54 a1 a3^3 a4^8 + a1 a3^4 a4^8 - 10 a0^2 a4^9 + 10 a1 a2 a4^9 +
55 a1 a2^2 a4^9 + 10 a0 a3 a4^9 + 42 a1^2 a3 a4^9 + 70 a0 a2 a3 a4^9 -
6 a0 a3^2 a4^9 + 40 a1 a3^2 a4^9 - 60 a1 a3^3 a4^9 + 18 a0 a1 a4^10 +
4 a0 a3 a4^10 - 11 a1 a3 a4^10 - 88 a1 a2 a3 a4^10 - 28 a0 a3^2 a4^10 +
6 a1 a3^2 a4^10 - a0 a4^11 - 8 a1^2 a4^11 - 12 a0 a2 a4^11 -
4 a1 a3 a4^11 + 36 a1 a3^2 a4^11 + a1 a4^12 + 13 a1 a2 a4^12 +
9 a0 a3 a4^12 - 10 a1 a3 a4^13 - a0 a4^14 + a1 a4^15) t + (a0^3 +
4 a0^3 a2 - 4 a0 a1 a2^3 + a2^5 + a2^6 + a0 a1^2 a3 - 9 a0^2 a2 a3 -
16 a0 a2^3 a3 + 4 a1 a2^3 a3 + a1 a2^4 a3 + 18 a0^2 a2 a3^2 -
24 a0 a1 a2 a3^2 + 18 a0 a2^2 a3^2 - 12 a1 a2^3 a3^2 + 16 a2^4 a3^2 -
12 a0^2 a3^3 + 4 a0 a1 a3^3 + 16 a0 a1 a2 a3^3 - 12 a1^2 a2 a3^3 -
54 a0 a2^2 a3^3 + 36 a1 a2^2 a3^3 - 10 a2^3 a3^3 - 4 a2^4 a3^3 +
8 a0^2 a3^4 - 24 a0 a1 a3^4 + 4 a1^2 a3^4 + 32 a0 a2 a3^4 -
6 a1 a2 a3^4 + 3 a1^2 a2 a3^4 + 3 a0 a2^2 a3^4 - 28 a1 a2^2 a3^4 +
36 a2^3 a3^4 - a0 a3^5 + 4 a0 a1 a3^5 - 8 a1^2 a3^5 - 24 a0 a2 a3^5 +
36 a1 a2 a3^5 - 20 a2^2 a3^5 - 3 a2^3 a3^5 + 6 a0 a3^6 - 4 a1 a3^6 +
a2 a3^6 - 6 a1 a2 a3^6 + 16 a2^2 a3^6 - a0 a3^7 + 4 a1 a3^7 - 6 a2 a3^7 +
a2 a3^8 - a0^2 a1 a4 - 12 a0^2 a1 a2 a4 + 16 a0 a2^3 a4 +
4 a1^2 a2^3 a4 + 25 a0 a2^4 a4 - 36 a0^2 a2 a3 a4 + 24 a0 a1 a2 a3 a4 +
12 a0 a1 a2^2 a3 a4 + 28 a1 a2^3 a3 a4 - 20 a2^4 a3 a4 - 10 a2^5 a3 a4 +
12 a0^2 a3^2 a4 - 60 a0 a1 a2 a3^2 a4 + 24 a1^2 a2 a3^2 a4 +
144 a0 a2^2 a3^2 a4 - 42 a1 a2^2 a3^2 a4 - 4 a1 a2^3 a3^2 a4 +
24 a2^4 a3^2 a4 - 36 a0^2 a3^3 a4 + 60 a0 a1 a3^3 a4 - 4 a1^2 a3^3 a4 -
40 a0 a2 a3^3 a4 - 20 a1^2 a2 a3^3 a4 - 36 a0 a2^2 a3^3 a4 +
144 a1 a2^2 a3^3 a4 - 120 a2^3 a3^3 a4 + 2 a0^2 a3^4 a4 -
40 a0 a1 a3^4 a4 + 36 a1^2 a3^4 a4 + 144 a0 a2 a3^4 a4 -
112 a1 a2 a3^4 a4 + 30 a2^2 a3^4 a4 - 9 a1 a2^2 a3^4 a4 +
48 a2^3 a3^4 a4 - 20 a0 a3^5 a4 + 6 a1 a3^5 a4 - 6 a1^2 a3^5 a4 -
12 a0 a2 a3^5 a4 + 84 a1 a2 a3^5 a4 - 120 a2^2 a3^5 a4 + 16 a0 a3^6 a4 -
30 a1 a3^6 a4 + 24 a2 a3^6 a4 + 12 a2^2 a3^6 a4 + 4 a1 a3^7 a4 -
20 a2 a3^7 a4 + 18 a0^2 a2 a4^2 + 12 a0 a1^2 a2 a4^2 +
60 a0^2 a2^2 a4^2 - 16 a1 a2^3 a4^2 - 35 a1 a2^4 a4^2 +
6 a0^2 a1 a3 a4^2 + 72 a0 a1 a2 a3 a4^2 - 12 a1^2 a2 a3 a4^2 -
90 a0 a2^2 a3 a4^2 - 12 a1^2 a2^2 a3 a4^2 - 80 a0 a2^3 a3 a4^2 -
40 a2^4 a3 a4^2 + 48 a0^2 a3^2 a4^2 - 36 a0 a1 a3^2 a4^2 -
12 a0 a1 a2 a3^2 a4^2 + 42 a1^2 a2 a3^2 a4^2 + 108 a0 a2^2 a3^2 a4^2 -
216 a1 a2^2 a3^2 a4^2 + 90 a2^3 a3^2 a4^2 + 30 a2^4 a3^2 a4^2 -
12 a0^2 a3^3 a4^2 + 108 a0 a1 a3^3 a4^2 - 48 a1^2 a3^3 a4^2 -
240 a0 a2 a3^3 a4^2 + 80 a1 a2 a3^3 a4^2 + 66 a1 a2^2 a3^3 a4^2 -
180 a2^3 a3^3 a4^2 + 15 a0 a3^4 a4^2 - 6 a0 a1 a3^4 a4^2 +
36 a1^2 a3^4 a4^2 + 96 a0 a2 a3^4 a4^2 - 288 a1 a2 a3^4 a4^2 +
240 a2^2 a3^4 a4^2 + 6 a2^3 a3^4 a4^2 - 60 a0 a3^5 a4^2 +
60 a1 a3^5 a4^2 - 21 a2 a3^5 a4^2 + 24 a1 a2 a3^5 a4^2 -
120 a2^2 a3^5 a4^2 + 6 a0 a3^6 a4^2 - 40 a1 a3^6 a4^2 + 90 a2 a3^6 a4^2 -
10 a2 a3^7 a4^2 + 10 a0^3 a4^3 - 28 a0 a1 a2 a4^3 - 4 a1^3 a2 a4^3 -
120 a0 a1 a2^2 a4^3 + 20 a2^4 a4^3 + 35 a2^5 a4^3 - 20 a0^2 a3 a4^3 -
8 a0 a1^2 a3 a4^3 - 60 a0^2 a2 a3 a4^3 - 36 a1^2 a2 a3 a4^3 -
120 a0 a2^2 a3 a4^3 + 100 a1 a2^2 a3 a4^3 + 120 a1 a2^3 a3 a4^3 +
24 a0^2 a3^2 a4^3 - 112 a0 a1 a3^2 a4^3 + 20 a1^2 a3^2 a4^3 +
120 a0 a2 a3^2 a4^3 + 12 a1^2 a2 a3^2 a4^3 + 90 a0 a2^2 a3^2 a4^3 -
132 a1 a2^2 a3^2 a4^3 + 240 a2^3 a3^2 a4^3 + 32 a0 a1 a3^3 a4^3 -
72 a1^2 a3^3 a4^3 - 240 a0 a2 a3^3 a4^3 + 360 a1 a2 a3^3 a4^3 -
140 a2^2 a3^3 a4^3 - 80 a2^3 a3^3 a4^3 + 80 a0 a3^4 a4^3 -
35 a1 a3^4 a4^3 + 4 a1^2 a3^4 a4^3 + 8 a0 a2 a3^4 a4^3 -
148 a1 a2 a3^4 a4^3 + 360 a2^2 a3^4 a4^3 - 40 a0 a3^5 a4^3 +
120 a1 a3^5 a4^3 - 140 a2 a3^5 a4^3 - 20 a2^2 a3^5 a4^3 -
10 a1 a3^6 a4^3 + 80 a2 a3^6 a4^3 - 25 a0^2 a1 a4^4 + 11 a1^2 a2 a4^4 +
45 a0 a2^2 a4^4 + 60 a1^2 a2^2 a4^4 + 140 a0 a2^3 a4^4 -
20 a0^2 a3 a4^4 + 40 a0 a1 a3 a4^4 + 3 a1^3 a3 a4^4 +
150 a0 a1 a2 a3 a4^4 + 120 a1 a2^2 a3 a4^4 - 105 a2^3 a3 a4^4 -
140 a2^4 a3 a4^4 + 15 a0^2 a3^2 a4^4 - 48 a0 a1 a3^2 a4^4 +
60 a1^2 a3^2 a4^4 + 240 a0 a2 a3^2 a4^4 - 150 a1 a2 a3^2 a4^4 -
150 a1 a2^2 a3^2 a4^4 + 90 a2^3 a3^2 a4^4 - 35 a0 a3^3 a4^4 -
20 a1^2 a3^3 a4^4 - 80 a0 a2 a3^3 a4^4 + 300 a1 a2 a3^3 a4^4 -
420 a2^2 a3^3 a4^4 + 90 a0 a3^4 a4^4 - 140 a1 a3^4 a4^4 +
70 a2 a3^4 a4^4 - 10 a1 a2 a3^4 a4^4 + 145 a2^2 a3^4 a4^4 -
5 a0 a3^5 a4^4 + 61 a1 a3^5 a4^4 - 210 a2 a3^5 a4^4 + 15 a2 a3^6 a4^4 +
6 a0^2 a4^5 + 21 a0 a1^2 a4^5 + 63 a0^2 a2 a4^5 - 39 a1 a2^2 a4^5 -
140 a1 a2^3 a4^5 + 36 a0 a1 a3 a4^5 - 18 a1^2 a3 a4^5 -
84 a0 a2 a3 a4^5 - 84 a1^2 a2 a3 a4^5 - 252 a0 a2^2 a3 a4^5 -
84 a2^3 a3 a4^5 - 48 a0 a1 a3^2 a4^5 + 24 a1^2 a3^2 a4^5 +
72 a0 a2 a3^2 a4^5 - 264 a1 a2 a3^2 a4^5 + 168 a2^2 a3^2 a4^5 +
210 a2^3 a3^2 a4^5 - 84 a0 a3^3 a4^5 + 56 a1 a3^3 a4^5 +
124 a1 a2 a3^3 a4^5 - 252 a2^2 a3^3 a4^5 + 29 a0 a3^4 a4^5 -
126 a1 a3^4 a4^5 + 224 a2 a3^4 a4^5 + 6 a2^2 a3^4 a4^5 + 6 a1 a3^5 a4^5 -
90 a2 a3^5 a4^5 - 10 a0 a1 a4^6 - 6 a1^3 a4^6 - 112 a0 a1 a2 a4^6 +
28 a2^3 a4^6 + 84 a2^4 a4^6 - 28 a0^2 a3 a4^6 - 16 a1^2 a3 a4^6 -
56 a0 a2 a3 a4^6 + 84 a1 a2 a3 a4^6 + 280 a1 a2^2 a3 a4^6 +
28 a0 a3^2 a4^6 + 30 a1^2 a3^2 a4^6 + 140 a0 a2 a3^2 a4^6 -
72 a1 a2 a3^2 a4^6 + 224 a2^2 a3^2 a4^6 - 42 a0 a3^3 a4^6 +
112 a1 a3^3 a4^6 - 84 a2 a3^3 a4^6 - 168 a2^2 a3^3 a4^6 + a0 a3^4 a4^6 -
43 a1 a3^4 a4^6 + 168 a2 a3^4 a4^6 - 7 a2 a3^5 a4^6 + 4 a1^2 a4^7 +
16 a0 a2 a4^7 + 50 a1^2 a2 a4^7 + 108 a0 a2^2 a4^7 + 60 a0 a1 a3 a4^7 +
52 a1 a2 a3 a4^7 - 72 a2^2 a3 a4^7 - 216 a2^3 a3 a4^7 + 32 a0 a3^2 a4^7 -
36 a1 a3^2 a4^7 - 180 a1 a2 a3^2 a4^7 + 48 a2^2 a3^2 a4^7 -
24 a0 a3^3 a4^7 + 48 a1 a3^3 a4^7 - 144 a2 a3^3 a4^7 - a1 a3^4 a4^7 +
67 a2 a3^4 a4^7 + 9 a0^2 a4^8 - 14 a1 a2 a4^8 - 99 a1 a2^2 a4^8 -
9 a0 a3 a4^8 - 30 a1^2 a3 a4^8 - 108 a0 a2 a3 a4^8 - 36 a2^2 a3 a4^8 +
6 a0 a3^2 a4^8 - 36 a1 a3^2 a4^8 + 45 a2 a3^2 a4^8 + 189 a2^2 a3^2 a4^8 +
39 a1 a3^3 a4^8 - 54 a2 a3^3 a4^8 + a2 a3^4 a4^8 - 16 a0 a1 a4^9 +
10 a2^2 a4^9 + 55 a2^3 a4^9 - 4 a0 a3 a4^9 + 10 a1 a3 a4^9 +
112 a1 a2 a3 a4^9 + 21 a0 a3^2 a4^9 - 6 a1 a3^2 a4^9 + 40 a2 a3^2 a4^9 -
60 a2 a3^3 a4^9 + a0 a4^10 + 7 a1^2 a4^10 + 22 a0 a2 a4^10 +
4 a1 a3 a4^10 - 11 a2 a3 a4^10 - 88 a2^2 a3 a4^10 - 28 a1 a3^2 a4^10 +
6 a2 a3^2 a4^10 - a1 a4^11 - 20 a1 a2 a4^11 - 8 a0 a3 a4^11 -
4 a2 a3 a4^11 + 36 a2 a3^2 a4^11 + a2 a4^12 + 13 a2^2 a4^12 +
9 a1 a3 a4^12 + a0 a4^13 - 10 a2 a3 a4^13 - a1 a4^14 +
a2 a4^15) t^2 + (-a0^2 a1 - 4 a0 a2^3 - 5 a0 a2^4 + 12 a0^2 a2 a3 -
4 a1 a2^3 a3 + 5 a2^4 a3 + 2 a2^5 a3 - 6 a0^2 a3^2 + 12 a0 a1 a2 a3^2 -
48 a0 a2^2 a3^2 + 6 a1 a2^2 a3^2 - 6 a2^4 a3^2 + 18 a0^2 a3^3 -
12 a0 a1 a3^3 + 20 a0 a2 a3^3 + 4 a1^2 a2 a3^3 + 12 a0 a2^2 a3^3 -
36 a1 a2^2 a3^3 + 40 a2^3 a3^3 - a0^2 a3^4 + 16 a0 a1 a3^4 -
6 a1^2 a3^4 - 72 a0 a2 a3^4 + 32 a1 a2 a3^4 - 15 a2^2 a3^4 +
3 a1 a2^2 a3^4 - 16 a2^3 a3^4 + 20 a0 a3^5 - 2 a1 a3^5 + 3 a1^2 a3^5 +
6 a0 a2 a3^5 - 36 a1 a2 a3^5 + 60 a2^2 a3^5 - 16 a0 a3^6 + 18 a1 a3^6 -
24 a2 a3^6 - 6 a2^2 a3^6 + a3^7 - 4 a1 a3^7 + 20 a2 a3^7 - 6 a3^8 + a3^9 +
a0 a1^2 a4 - 9 a0^2 a2 a4 - 24 a0^2 a2^2 a4 + 4 a1 a2^3 a4 +
9 a1 a2^4 a4 - 24 a0 a1 a2 a3 a4 + 48 a0 a2^2 a3 a4 + 36 a0 a2^3 a3 a4 +
16 a2^4 a3 a4 - 36 a0^2 a3^2 a4 + 12 a0 a1 a3^2 a4 - 12 a1^2 a2 a3^2 a4 -
54 a0 a2^2 a3^2 a4 + 84 a1 a2^2 a3^2 a4 - 50 a2^3 a3^2 a4 -
14 a2^4 a3^2 a4 + 8 a0^2 a3^3 a4 - 60 a0 a1 a3^3 a4 + 12 a1^2 a3^3 a4 +
192 a0 a2 a3^3 a4 - 36 a1 a2 a3^3 a4 - 28 a1 a2^2 a3^3 a4 +
96 a2^3 a3^3 a4 - 25 a0 a3^4 a4 + 4 a0 a1 a3^4 a4 - 20 a1^2 a3^4 a4 -
72 a0 a2 a3^4 a4 + 180 a1 a2 a3^4 a4 - 200 a2^2 a3^4 a4 -
3 a2^3 a3^4 a4 + 96 a0 a3^5 a4 - 52 a1 a3^5 a4 + 36 a2 a3^5 a4 -
18 a1 a2 a3^5 a4 + 96 a2^2 a3^5 a4 - 9 a0 a3^6 a4 + 52 a1 a3^6 a4 -
150 a2 a3^6 a4 + 24 a3^7 a4 + 16 a2 a3^7 a4 - 20 a3^8 a4 - 6 a0^3 a4^2 +
12 a0 a1 a2 a4^2 + 48 a0 a1 a2^2 a4^2 - 10 a2^4 a4^2 - 15 a2^5 a4^2 +
18 a0^2 a3 a4^2 + 48 a0^2 a2 a3 a4^2 + 12 a1^2 a2 a3 a4^2 +
72 a0 a2^2 a3 a4^2 - 48 a1 a2^2 a3 a4^2 - 52 a1 a2^3 a3 a4^2 -
18 a0^2 a3^2 a4^2 + 72 a0 a1 a3^2 a4^2 - 6 a1^2 a3^2 a4^2 -
120 a0 a2 a3^2 a4^2 - 78 a0 a2^2 a3^2 a4^2 + 72 a1 a2^2 a3^2 a4^2 -
160 a2^3 a3^2 a4^2 - 20 a0 a1 a3^3 a4^2 + 42 a1^2 a3^3 a4^2 +
216 a0 a2 a3^3 a4^2 - 264 a1 a2 a3^3 a4^2 + 150 a2^2 a3^3 a4^2 +
60 a2^3 a3^3 a4^2 - 160 a0 a3^4 a4^2 + 35 a1 a3^4 a4^2 -
3 a1^2 a3^4 a4^2 - 6 a0 a2 a3^4 a4^2 + 120 a1 a2 a3^4 a4^2 -
360 a2^2 a3^4 a4^2 + 72 a0 a3^5 a4^2 - 168 a1 a3^5 a4^2 +
300 a2 a3^5 a4^2 + 18 a2^2 a3^5 a4^2 - 21 a3^6 a4^2 + 18 a1 a3^6 a4^2 -
160 a2 a3^6 a4^2 + 90 a3^7 a4^2 - 10 a3^8 a4^2 + 14 a0^2 a1 a4^3 -
4 a1^2 a2 a4^3 - 30 a0 a2^2 a4^3 - 24 a1^2 a2^2 a4^3 - 80 a0 a2^3 a4^3 +
16 a0^2 a3 a4^3 - 28 a0 a1 a3 a4^3 - 96 a0 a1 a2 a3 a4^3 -
72 a1 a2^2 a3 a4^3 + 80 a2^3 a3 a4^3 + 95 a2^4 a3 a4^3 -
24 a0^2 a3^2 a4^3 + 36 a0 a1 a3^2 a4^3 - 36 a1^2 a3^2 a4^3 -
240 a0 a2 a3^2 a4^3 + 120 a1 a2 a3^2 a4^3 + 102 a1 a2^2 a3^2 a4^3 -
60 a2^3 a3^2 a4^3 + 80 a0 a3^3 a4^3 + 12 a1^2 a3^3 a4^3 +
100 a0 a2 a3^3 a4^3 - 264 a1 a2 a3^3 a4^3 + 480 a2^2 a3^3 a4^3 -
180 a0 a3^4 a4^3 + 200 a1 a3^4 a4^3 - 175 a2 a3^4 a4^3 +
8 a1 a2 a3^4 a4^3 - 164 a2^2 a3^4 a4^3 + 8 a0 a3^5 a4^3 -
104 a1 a3^5 a4^3 + 480 a2 a3^5 a4^3 - 140 a3^6 a4^3 - 30 a2 a3^6 a4^3 +
80 a3^7 a4^3 - 5 a0^2 a4^4 - 11 a0 a1^2 a4^4 - 45 a0^2 a2 a4^4 +
25 a1 a2^2 a4^4 + 80 a1 a2^3 a4^4 - 28 a0 a1 a3 a4^4 + 11 a1^2 a3 a4^4 +
90 a0 a2 a3 a4^4 + 48 a1^2 a2 a3 a4^4 + 240 a0 a2^2 a3 a4^4 +
60 a2^3 a3 a4^4 + 48 a0 a1 a3^2 a4^4 - 18 a1^2 a3^2 a4^4 -
60 a0 a2 a3^2 a4^4 + 240 a1 a2 a3^2 a4^4 - 210 a2^2 a3^2 a4^4 -
230 a2^3 a3^2 a4^4 + 180 a0 a3^3 a4^4 - 80 a1 a3^3 a4^4 -
120 a1 a2 a3^3 a4^4 + 270 a2^2 a3^3 a4^4 - 61 a0 a3^4 a4^4 +
210 a1 a3^4 a4^4 - 560 a2 a3^4 a4^4 - 5 a2^2 a3^4 a4^4 + 70 a3^5 a4^4 -
10 a1 a3^5 a4^4 + 206 a2 a3^5 a4^4 - 210 a3^6 a4^4 + 15 a3^7 a4^4 +
8 a0 a1 a4^5 + 3 a1^3 a4^5 + 78 a0 a1 a2 a4^5 - 21 a2^3 a4^5 -
56 a2^4 a4^5 + 39 a0^2 a3 a4^5 + 12 a1^2 a3 a4^5 + 48 a0 a2 a3 a4^5 -
78 a1 a2 a3 a4^5 - 240 a1 a2^2 a3 a4^5 - 63 a0 a3^2 a4^5 -
24 a1^2 a3^2 a4^5 - 240 a0 a2 a3^2 a4^5 + 60 a1 a2 a3^2 a4^5 -
252 a2^2 a3^2 a4^5 + 72 a0 a3^3 a4^5 - 180 a1 a3^3 a4^5 +
224 a2 a3^3 a4^5 + 294 a2^2 a3^3 a4^5 - a0 a3^4 a4^5 + 69 a1 a3^4 a4^5 -
378 a2 a3^4 a4^5 + 224 a3^5 a4^5 + 12 a2 a3^5 a4^5 - 90 a3^6 a4^5 -
3 a1^2 a4^6 - 14 a0 a2 a4^6 - 34 a1^2 a2 a4^6 - 84 a0 a2^2 a4^6 -
68 a0 a1 a3 a4^6 - 44 a1 a2 a3 a4^6 + 84 a2^2 a3 a4^6 +
224 a2^3 a3 a4^6 - 56 a0 a3^2 a4^6 + 56 a1 a3^2 a4^6 +
240 a1 a2 a3^2 a4^6 - 42 a2^2 a3^2 a4^6 + 84 a0 a3^3 a4^6 -
72 a1 a3^3 a4^6 + 336 a2 a3^3 a4^6 - 84 a3^4 a4^6 + a1 a3^4 a4^6 -
211 a2 a3^4 a4^6 + 168 a3^5 a4^6 - 7 a3^6 a4^6 - 8 a0^2 a4^7 +
12 a1 a2 a4^7 + 76 a1 a2^2 a4^7 + 16 a0 a3 a4^7 + 30 a1^2 a3 a4^7 +
152 a0 a2 a3 a4^7 + 32 a2^2 a3 a4^7 - 6 a0 a3^2 a4^7 + 52 a1 a3^2 a4^7 -
108 a2 a3^2 a4^7 - 336 a2^2 a3^2 a4^7 - 84 a1 a3^3 a4^7 +
96 a2 a3^3 a4^7 - 144 a3^4 a4^7 - a2 a3^4 a4^7 + 67 a3^5 a4^7 +
14 a0 a1 a4^8 - 9 a2^2 a4^8 - 45 a2^3 a4^8 + 4 a0 a3 a4^8 -
14 a1 a3 a4^8 - 138 a1 a2 a3 a4^8 - 69 a0 a3^2 a4^8 + 6 a1 a3^2 a4^8 -
72 a2 a3^2 a4^8 + 45 a3^3 a4^8 + 228 a2 a3^3 a4^8 - 54 a3^4 a4^8 +
a3^5 a4^8 - a0 a4^9 - 6 a1^2 a4^9 - 20 a0 a2 a4^9 - 4 a1 a3 a4^9 +
20 a2 a3 a4^9 + 125 a2^2 a3 a4^9 + 63 a1 a3^2 a4^9 - 6 a2 a3^2 a4^9 +
40 a3^3 a4^9 - 60 a3^4 a4^9 + a1 a4^10 + 18 a1 a2 a4^10 +
18 a0 a3 a4^10 + 4 a2 a3 a4^10 - 11 a3^2 a4^10 - 116 a2 a3^2 a4^10 +
6 a3^3 a4^10 - a2 a4^11 - 12 a2^2 a4^11 - 16 a1 a3 a4^11 - 4 a3^2 a4^11 +
36 a3^3 a4^11 - a0 a4^12 + a3 a4^12 + 22 a2 a3 a4^12 + a1 a4^13 -
10 a3^2 a4^13 - a2 a4^14 + a3 a4^15) t^3 + (a0 a1^2 + 3 a0^2 a2 +
6 a0^2 a2^2 - a1 a2^4 - 12 a0 a2^2 a3 - 4 a0 a2^3 a3 - 4 a2^4 a3 +
12 a0^2 a3^2 + 18 a0 a2^2 a3^2 - 12 a1 a2^2 a3^2 + 10 a2^3 a3^2 +
a2^4 a3^2 - 4 a0^2 a3^3 + 12 a0 a1 a3^3 - 48 a0 a2 a3^3 + 4 a1 a2 a3^3 +
8 a1 a2^2 a3^3 - 24 a2^3 a3^3 + 5 a0 a3^4 - 2 a0 a1 a3^4 + 4 a1^2 a3^4 +
24 a0 a2 a3^4 - 36 a1 a2 a3^4 + 40 a2^2 a3^4 + a2^3 a3^4 - 24 a0 a3^5 +
8 a1 a3^5 - 6 a2 a3^5 + 6 a1 a2 a3^5 - 24 a2^2 a3^5 + 3 a0 a3^6 -
12 a1 a3^6 + 30 a2 a3^6 - 4 a3^7 - 4 a2 a3^7 + 4 a3^8 + 4 a0^3 a4 -
12 a0 a1 a2^2 a4 + 5 a2^4 a4 + 6 a2^5 a4 - 12 a0^2 a3 a4 -
12 a0^2 a2 a3 a4 - 48 a0 a2^2 a3 a4 + 12 a1 a2^2 a3 a4 +
8 a1 a2^3 a3 a4 + 18 a0^2 a3^2 a4 - 24 a0 a1 a3^2 a4 + 60 a0 a2 a3^2 a4 +
12 a0 a2^2 a3^2 a4 - 36 a1 a2^2 a3^2 a4 + 80 a2^3 a3^2 a4 +
16 a0 a1 a3^3 a4 - 12 a1^2 a3^3 a4 - 144 a0 a2 a3^3 a4 +
96 a1 a2 a3^3 a4 - 60 a2^2 a3^3 a4 - 20 a2^3 a3^3 a4 + 80 a0 a3^4 a4 -
10 a1 a3^4 a4 + 3 a1^2 a3^4 a4 + 6 a0 a2 a3^4 a4 - 72 a1 a2 a3^4 a4 +
180 a2^2 a3^4 a4 - 48 a0 a3^5 a4 + 72 a1 a3^5 a4 - 120 a2 a3^5 a4 -
12 a2^2 a3^5 a4 + 7 a3^6 a4 - 12 a1 a3^6 a4 + 80 a2 a3^6 a4 -
36 a3^7 a4 + 5 a3^8 a4 - 6 a0^2 a1 a4^2 + 30 a0 a2^2 a4^2 +
6 a1^2 a2^2 a4^2 + 60 a0 a2^3 a4^2 - 24 a0^2 a3 a4^2 + 12 a0 a1 a3 a4^2 +
24 a0 a1 a2 a3 a4^2 + 48 a1 a2^2 a3 a4^2 - 60 a2^3 a3 a4^2 -
45 a2^4 a3 a4^2 + 6 a0^2 a3^2 a4^2 - 36 a0 a1 a3^2 a4^2 +
12 a1^2 a3^2 a4^2 + 240 a0 a2 a3^2 a4^2 - 60 a1 a2 a3^2 a4^2 -
18 a1 a2^2 a3^2 a4^2 + 60 a2^3 a3^2 a4^2 - 60 a0 a3^3 a4^2 -
12 a1^2 a3^3 a4^2 - 60 a0 a2 a3^3 a4^2 + 216 a1 a2 a3^3 a4^2 -
360 a2^2 a3^3 a4^2 + 180 a0 a3^4 a4^2 - 120 a1 a3^4 a4^2 +
105 a2 a3^4 a4^2 - 12 a1 a2 a3^4 a4^2 + 126 a2^2 a3^4 a4^2 -
12 a0 a3^5 a4^2 + 96 a1 a3^5 a4^2 - 360 a2 a3^5 a4^2 + 84 a3^6 a4^2 +
30 a2 a3^6 a4^2 - 60 a3^7 a4^2 + 10 a0^2 a4^3 + 4 a0 a1^2 a4^3 +
60 a0^2 a2 a4^3 - 20 a1 a2^2 a4^3 - 60 a1 a2^3 a4^3 + 32 a0 a1 a3 a4^3 -
4 a1^2 a3 a4^3 - 120 a0 a2 a3 a4^3 - 12 a1^2 a2 a3 a4^3 -
180 a0 a2^2 a3 a4^3 - 80 a2^3 a3 a4^3 - 12 a0 a1 a3^2 a4^3 +
18 a1^2 a3^2 a4^3 + 120 a0 a2 a3^2 a4^3 - 240 a1 a2 a3^2 a4^3 +
210 a2^2 a3^2 a4^3 + 120 a2^3 a3^2 a4^3 - 240 a0 a3^3 a4^3 +
60 a1 a3^3 a4^3 + 80 a1 a2 a3^3 a4^3 - 360 a2^2 a3^3 a4^3 +
84 a0 a3^4 a4^3 - 240 a1 a3^4 a4^3 + 560 a2 a3^4 a4^3 +
10 a2^2 a3^4 a4^3 - 56 a3^5 a4^3 + 20 a1 a3^5 a4^3 - 244 a2 a3^5 a4^3 +
210 a3^6 a4^3 - 20 a3^7 a4^3 - 10 a0 a1 a4^4 - a1^3 a4^4 -
90 a0 a1 a2 a4^4 + 35 a2^3 a4^4 + 70 a2^4 a4^4 - 45 a0^2 a3 a4^4 -
12 a1^2 a3 a4^4 - 120 a0 a2 a3 a4^4 + 90 a1 a2 a3 a4^4 +
180 a1 a2^2 a3 a4^4 + 105 a0 a3^2 a4^4 + 6 a1^2 a3^2 a4^4 +
180 a0 a2 a3^2 a4^4 - 120 a1 a2 a3^2 a4^4 + 420 a2^2 a3^2 a4^4 -
180 a0 a3^3 a4^4 + 240 a1 a3^3 a4^4 - 280 a2 a3^3 a4^4 -
210 a2^2 a3^3 a4^4 + 5 a0 a3^4 a4^4 - 105 a1 a3^4 a4^4 +
630 a2 a3^4 a4^4 - 280 a3^5 a4^4 - 30 a2 a3^5 a4^4 + 141 a3^6 a4^4 +
3 a1^2 a4^5 + 42 a0 a2 a4^5 + 36 a1^2 a2 a4^5 + 168 a0 a2^2 a4^5 +
72 a0 a1 a3 a4^5 + 96 a1 a2 a3 a4^5 - 168 a2^2 a3 a4^5 -
280 a2^3 a3 a4^5 + 168 a0 a3^2 a4^5 - 84 a1 a3^2 a4^5 -
180 a1 a2 a3^2 a4^5 + 126 a2^2 a3^2 a4^5 - 84 a0 a3^3 a4^5 +
180 a1 a3^3 a4^5 - 672 a2 a3^3 a4^5 + 126 a3^4 a4^5 - 6 a1 a3^4 a4^5 +
258 a2 a3^4 a4^5 - 336 a3^5 a4^5 + 21 a3^6 a4^5 + 28 a0^2 a4^6 -
28 a1 a2 a4^6 - 140 a1 a2^2 a4^6 - 56 a0 a3 a4^6 - 30 a1^2 a3 a4^6 -
280 a0 a2 a3 a4^6 - 112 a2^2 a3 a4^6 + 42 a0 a3^2 a4^6 -
140 a1 a3^2 a4^6 + 252 a2 a3^2 a4^6 + 420 a2^2 a3^2 a4^6 +
84 a1 a3^3 a4^6 - 336 a2 a3^3 a4^6 + 336 a3^4 a4^6 + 7 a2 a3^4 a4^6 -
133 a3^5 a4^6 - 40 a0 a1 a4^7 + 36 a2^2 a4^7 + 120 a2^3 a4^7 -
32 a0 a3 a4^7 + 40 a1 a3 a4^7 + 240 a1 a2 a3 a4^7 + 120 a0 a3^2 a4^7 -
36 a1 a3^2 a4^7 + 288 a2 a3^2 a4^7 - 120 a3^3 a4^7 - 312 a2 a3^3 a4^7 +
216 a3^4 a4^7 - 8 a3^5 a4^7 + 9 a0 a4^8 + 15 a1^2 a4^8 + 90 a0 a2 a4^8 +
24 a1 a3 a4^8 - 90 a2 a3 a4^8 - 315 a2^2 a3 a4^8 - 105 a1 a3^2 a4^8 +
54 a2 a3^2 a4^8 - 180 a3^3 a4^8 + 106 a3^4 a4^8 - 6 a1 a4^9 -
70 a1 a2 a4^9 - 70 a0 a3 a4^9 - 40 a2 a3 a4^9 + 55 a3^2 a4^9 +
280 a2 a3^2 a4^9 - 60 a3^3 a4^9 + a3^4 a4^9 + 11 a2 a4^10 +
66 a2^2 a4^10 + 56 a1 a3 a4^10 + 44 a3^2 a4^10 - 88 a3^3 a4^10 +
12 a0 a4^11 - 12 a3 a4^11 - 108 a2 a3 a4^11 + 6 a3^2 a4^11 - 9 a1 a4^12 -
4 a3 a4^12 + 45 a3^2 a4^12 + a4^13 + 14 a2 a4^13 - 11 a3 a4^14 +
a4^16) t^4
In[27]:= Roots[(6.18687575716319`*^14 -
2.4378505599011028`*^14 I) + (1.5850077846736475`*^15 -
1.4362342599073115`*^15 I) t + (9.912390578274142`*^14 -
5.798926691161292`*^14 I) t^2 + (1.1957361247291275`*^15 -
8.117976633940596`*^14 I) t^3 - (8.244916136452692`*^14 -
1.327732238401708`*^15 I) t^4 == 0, t]
Out[27]= t == -0.322147 + 0.837557 I || t == -0.315309 - 0.126212 I ||
t == -0.257493 - 0.738116 I || t == 1.73982 + 0.402711 I
In[28]:= Roots[ReplaceAll[
t^5 + a4 t^4 + a3 t^3 + a2 t^2 + a1 t +
a0, {a4 -> -8.302983934369468` - 4.729827061190436` I,
a3 -> 4.014528300670566` + 6.139211446696198` I,
a2 -> 2.0368603800052796` + 5.010935176354607` I,
a1 -> 7.830776457647211` + 8.284256583975676` I,
a0 -> 1.4398560322379073` + 3.380581290747573` I}] == 0, t]
Out[28]= t == -0.322147 + 0.837557 I || t == -0.315309 - 0.126212 I ||
t == -0.257493 - 0.738116 I || t == 1.73982 + 0.402711 I ||
t == 7.45812 + 4.35389 I
AMAZING 100% ACCURACY, WOW !!!
THE END !!!
[toc] | [prev] | [next] | [standalone]
| From | dobri karagorgov <dobrikarate.gov@gmail.com> |
|---|---|
| Date | 2016-01-08 12:52 -0800 |
| Message-ID | <a620361f-f450-43a7-955d-12d39b143aa3@googlegroups.com> |
| In reply to | #543883 |
this case really has no solutions:
In[38]:= ReplaceAll[t^(1/x) == ((-1)/(t^4 - 1))^x,
Solve[4/x == 1 x, x][[2]]]
Out[38]= Sqrt[t] == 1/(-1 + t^4)^2
In[42]:= Expand[(-1 + t^4)^2 Sqrt[t] - 1 == 0]
Out[42]= -1 + Sqrt[t] - 2 t^(9/2) + t^(17/2) == 0
In[43]:= Collect[
Expand[(-1)^2 - (Sqrt[t] (1 - 2 t^4 + t^8))^2] == 0, t]
Out[43]= 1 - t + 4 t^5 - 6 t^9 + 4 t^13 - t^17 == 0
In[46]:= PolynomialReduce[1 - t + 4 t^5 - 6 t^9 + 4 t^13 - t^17,
1 - t + t^5, t]
Out[46]= {{1 - t^2 - 2 t^3 - 3 t^4 + t^7 + 3 t^8 - t^12},
t^2 + t^3 + t^4}
In[50]:= Solve[t^2 + t^3 + t^4 == 0, t]
Out[50]= {{t -> 0}, {t -> 0}, {t -> -(-1)^(1/3)}, {t -> (-1)^(2/3)}}
In[52]:= FullSimplify[
ReplaceAll[
1 - t + t^5, {{t -> 0}, {t -> 0}, {t -> -(-1)^(1/3)}, {t -> (-1)^(
2/3)}}] == 0]
Out[52]= {1, 1, 1 + I Sqrt[3], 1 - I Sqrt[3]} == 0
[toc] | [prev] | [next] | [standalone]
| From | NoeDOTNatDOTNoe <dedanoe@gmail.com> |
|---|---|
| Date | 2016-01-08 14:16 -0800 |
| Message-ID | <033c69e2-9251-4eec-a470-83a469b02ffb@googlegroups.com> |
| In reply to | #543891 |
In[38]:= ReplaceAll[t^(1/x) == ((-1)/(t^4 - 1))^x,
Solve[4/x == 1 x, x][[2]]]
Out[38]= Sqrt[t] == 1/(-1 + t^4)^2
In[42]:= Expand[(-1 + t^4)^2 Sqrt[t] - 1 == 0]
Out[42]= -1 + Sqrt[t] - 2 t^(9/2) + t^(17/2) == 0
In[43]:= Collect[
Expand[(-1)^2 - (Sqrt[t] (1 - 2 t^4 + t^8))^2] == 0, t]
Out[43]= 1 - t + 4 t^5 - 6 t^9 + 4 t^13 - t^17 == 0
In[46]:= PolynomialReduce[1 - t + 4 t^5 - 6 t^9 + 4 t^13 - t^17,
1 - t + t^5, t]
Out[46]= {{1 - t^2 - 2 t^3 - 3 t^4 + t^7 + 3 t^8 - t^12},
t^2 + t^3 + t^4}
In[50]:= Solve[t^2 + t^3 + t^4 == 0, t]
Out[50]= {{t -> 0}, {t -> 0}, {t -> -(-1)^(1/3)}, {t -> (-1)^(2/3)}}
In[52]:= FullSimplify[
ReplaceAll[
1 - t + t^5, {{t -> 0}, {t -> 0}, {t -> -(-1)^(1/3)}, {t -> (-1)^(
2/3)}}] == 0]
Out[52]= {1, 1, 1 + I Sqrt[3], 1 - I Sqrt[3]} == 0
this is wrong : {t != 1 but t == -Sqrt[0] , t != 1 but t == +Sqrt[0],
1 + I Sqrt[3], 1 - I Sqrt[3]} == 0
t^2 (1 + t + t^2) ==
0 remember now lets go in reverse order to check if it works >>>
(t - Sqrt[0]) (t +
Sqrt[0]) (t - (1 + I Sqrt[3])) (t - (1 - I Sqrt[3])) (t -
x) == (t^2 + 0) (1 + t + t^2) (t - x) == (0) (1 + t) (t -
x) == (0) (t^2 + t (1 - x) - x) == ((0 - x) Sqrt[0] -
x) == -x (Sqrt[0] - 1) == (t^4 - 1) t + 1 == (0^2 - 1) t + 1
x == -(Sqrt[0] - 1)/(Sqrt[0] -
1) which only seems like x == -1 || (-1)^5 - (-1) + 1 != 0
zero is not singular element of multiplication and thereby it cannot \
be Sqrt[0] == 0 or 0^2 == 0 cause only 1 1 == 1.
[toc] | [prev] | [next] | [standalone]
| From | Mahipal <mahipal7638@gmail.com> |
|---|---|
| Date | 2016-01-08 15:46 -0800 |
| Message-ID | <43b75376-da2e-4ece-9c86-a33ff0b9cfc7@googlegroups.com> |
| In reply to | #543864 |
On Friday, January 8, 2016 at 2:00:46 PM UTC-5, dobri karagorgov wrote:
> On Friday, January 8, 2016 at 3:28:46 PM UTC+1, Mahipal wrote:
> > On Thursday, January 7, 2016 at 5:28:04 PM UTC-5, dobri karagorgov wrote:
> > > On Thursday, January 7, 2016 at 11:25:07 PM UTC+1, Mahipal wrote:
> > > > On Thursday, January 7, 2016 at 2:43:53 PM UTC-5, dobri karagorgov wrote:
> > > > > On Thursday, January 7, 2016 at 8:35:23 PM UTC+1, Kym Horsell wrote:
> > > > > > dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
> > > > > > > On Thursday, January 7, 2016 at 8:20:03 PM UTC+1, Kym Horsell wrote:
> > > > > > >> dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
> > > > > > >> ...
> > > > > > >> >> yes they jumped to wrong conclusion but never exhausted all the approaches
> > > > > > >> and possibilities for solution. you've checked the doc right, you see that
> > > > > > >> concrete numbers favor me ??? concrete numbers agree with my
> > > > > > >> solutions with absolute 100% accuracy ???
> > > > > > >> > sorted out and refined the doc... latest version at: https://docs.google.com
> > > > > > >> I think I can wait until it can solve x^5-x+1 correctly and not
> > > > > > >> the not 100% correct x^5-x+1 = 0.000202425 +/- 0.00021254 i.
> > > > > > >> Maybe you jumped to the wrong conclusion.
> > > > > > >> --
> > > > > > >> Newsflash: Steve "Hellboy" Godard finds CO2 should only
> > > > > > >> cause 2.5% of the observed global warming.
> > > > > > >> If you want to continue to believe that kind of tripe, please
> > > > > > >> avert your eyes now.
> > > > > > >> <http://www.woodfortrees.org/plot/esrl-co2/mean:60/from:1960/normalise/plot/
> > > > > > >> gistemp/mean:60/from:1960/normalise>
> > > > > > >> (Mauna Loa CO2 ppmv from c1958 vs NASA's LOTI avg global temp index).
> > > > > > > try me again {{t -> 1/12 (9 - I Sqrt[15])}, {t -> 1/12 (9 + I Sqrt[15])}}
> > > > > > is solution for t^5 - t + 1 = 0. i told you i was evaluating the binary
> > > > > > coefficient wrongfully as 2!/1!/1!.
> > > > > >
> > > > > > I think you jumped to another even more wrong conclusion.
> > > > > >
> > > > > > t ~= 0.75 -0.322749 i
> > > > > > t^5 - t + 1 ~= 0.0885417 -0.00224131 i
> > > > > >
> > > > > > --
> > > > > > During the late 1940s, Adamski wrote a novel, entitled Pioneers of
> > > > > > Space, about an imaginary trip to the moon, Venus and Mars. He listed
> > > > > > the book with the Library of Congress for copyright purposes as a work
> > > > > > of fiction. In 1953, Adamski co-authored Flying Saucers Have Landed
> > > > > > (New York: The British Book Centre) with British author Desmond
> > > > > > Leslie. The book, which was highly successful, tells of Adamski's
> > > > > > first alleged contact with SPACE PEOPLE. According to Adamski's and
> > > > > > Leslie's account, on November 20, 1952, Adamski went into the desert
> > > > > > accom~am'ed by anthropologist George Hunt Wifliamson, his wife Betty
> > > > > > Williamson, also an anthropologist and chemist, Mr. and Mrs. Al
> > > > > > Bailey, Lucy McGinnis and Alice K. Wells. After spotting a
> > > > > > CIGAR-SHAPED UFO, the others waited by the car while Adamski went into
> > > > > > a small canyon. There he purportedly met with a Venusian with whom he
> > > > > > communicated telepathically and by means of sign language. The
> > > > > > Venusian told Adamski he had come to Earth to stop atomic testing
> > > > > > because the radiation from fallout was dangerous to the other planets
> > > > > > in the solar system. After the spacecraft had left, Adamski noticed
> > > > > > that the Venusian had left deep footprints in the sand. Within the
> > > > > > outline of the footprints were strange hieroglyphics. The group
> > > > > > happened to have brought along some plaster of Paris with which George
> > > > > > Hunt Williamson was able to make a cast of the footprint.
> > > > > > -- <http://www.galeon.com/ignaciodarnaude/bibliografia_paracientifica/
> > > > > > Encyclopedia%20UFO%20M.Sachs.html>
> > > >
> > > > In Reality, copyright matters not. Ask any plagiarist.
> >
> > <trim>
> >
> > > i do have juries to judge me the judgment from which matters as
> > >final word, i just gave you the chance to be among the first such
> >
> > Be real, judges and juries are as reliable as politicians on Mondays.
> >
> > Most of all, your posting history is sparse. Were you born yesterday?
> >
> > Also, please don't post just another useless polynomial. Physics NG here.
> >
> > -- Mahipal “IPMM... माहिपाल ७६३८: Imagine The(y)TheThem killed John Lennon.”
>
> Ha, ha, ha... here is the simplest way to solution:\>
The solution which solves nothing, and worse than that, you typed none
of it. I got simple SW scripts that will generate random nonsense
until eternity freezes over. Shall I post one for your eyes only?
> Solve[{a4 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
> a3 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
> a2 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
> a1 == Random[Complex, {-10 - 10 I, +10 + 10 I}],
> a0 == Random[Complex, {-10 - 10 I, +10 + 10 I}]}, {a4, a3, a2, a1,
> a0}][[1]]
>
> {a4 -> -8.30298 - 4.72983 I, a3 -> 4.01453 + 6.13921 I,
> a2 -> 2.03686 + 5.01094 I, a1 -> 7.83078 + 8.28426 I,
> a0 -> 1.43986 + 3.38058 I}
>
> In[9]:= Solve[m/x == n x, x]
>
> Out[9]= {{x -> -(Sqrt[m]/Sqrt[n])}, {x -> Sqrt[m]/Sqrt[n]}}
>
> In[10]:= ReplaceAll[{m/x, n x}, {x -> Sqrt[m]/Sqrt[n]}]
>
> Out[10]= {Sqrt[m] Sqrt[n], Sqrt[m] Sqrt[n]}
>
> In[14]:= ReplaceAll[t^(5/x) == (-(-t + 1))^(1 x), Solve[5/x == 1 x, x][[2]]]
>
> Out[14]= t^Sqrt[5] == (-1 + t)^Sqrt[5]
>
> In[15]:= Collect[t^Sqrt[5] ==
> ReplaceAll[
> Sum[(n! a^(n - k) b^k)/(k! (n - k)!), {k, 0, n, Sqrt[5]/4}], {n -> Sqrt[5],
> a -> t, b -> -1}], t]
>
> Out[15]= t^Sqrt[5] == (-1)^Sqrt[5] + t^Sqrt[5] + (
> I^Sqrt[5] t^(Sqrt[5]/2) Sqrt[5]!)/((Sqrt[5]/2)!)^2 + ((-1)^((3 Sqrt[5])/4)
> t^(Sqrt[5]/4) Sqrt[5]!)/((Sqrt[5]/4)! ((3 Sqrt[5])/4)!) + ((-1)^(Sqrt[5]/
> 4) t^((3 Sqrt[5])/4) Sqrt[5]!)/((Sqrt[5]/4)! ((3 Sqrt[5])/4)!)
>
> In[26]:= N[ReplaceAll[
> Solve[0 == (-1)^Sqrt[5] + (
> I^Sqrt[5] x^2 Sqrt[5]!)/((Sqrt[5]/2)!)^2 + ((-1)^((3 Sqrt[5])/4)
> x Sqrt[5]!)/((Sqrt[5]/4)! ((3 Sqrt[5])/4)!) + ((-1)^(Sqrt[5]/4)
> x^3 Sqrt[5]!)/((Sqrt[5]/4)! ((3 Sqrt[5])/4)!), x],
> Solve[t^(Sqrt[5]/4) == x, x][[1]]]]
>
> In[27]:= Solve[(t^0.5590169943749475` - (0.14739824834890441` -
> 0.7858662474105508` I)) (t^0.5590169943749475` - (-0.7417477424309309` \
> - 0.34817990743496763` I)) (t^0.5590169943749475` - (0.8175046019208685` -
> 0.05572420641882503` I)) == 0, t]
>
> During evaluation of In[27]:= Solve::ifun: Inverse functions are
>being used by Solve, so some solutions may not be found; use Reduce
>for complete solution information. >>
No surprise that.
> Out[27]= {{t -> -0.528104 - 0.412692 I}, {t -> 0.695075 - 0.0850437 I}}
>
> In[28]:= N[ReplaceAll[
> t^5 - t + 1, {{t -> -0.5281042397091176` - 0.4126924553723451` I}, {t ->
> 0.6950751703712601` - 0.08504374480435843` I}}]]
>
> Out[28]= {1.66128 + 0.43625 I, 0.44306 - 0.0112411 I}
Thank you Seema! IPMM... FOX(y) News... Jimi Hendrix tune...
How hot and sexy do you have to be, to be a Talking Head?! These days.
To be more meaningful in a single sentence!
To leap tall buildings without falling to the ground!
It's a bird, it's a plane, no... it's a Macy's helium balloon.
No, no, NO... it's a Amazonian SuperDrone delivering your GEICO.
Thank you Seema==Limit! IPMM... FOX(y) Lady... Some Viagra Required.
What the hell is this lousy pretense of limiting our surveilled govern
Mental selves to just accessing meta data for?! I must be nuts...
We tag and track the tigers and fish, but we throw away the data?!
Say what What WHAT...?! I must be the nuts in a Three Stooges Sitcom!
-- Mahipal “IPMM... माहिपाल: Imagine why The(y)TheThem killed John Lennon.”
[toc] | [prev] | [next] | [standalone]
| From | R Kym Horsell <kym@kymhorsell.com> |
|---|---|
| Date | 2016-01-08 02:57 +0000 |
| Message-ID | <n6n8hu$1bs9$1@gioia.aioe.org> |
| In reply to | #543703 |
dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
> On Thursday, January 7, 2016 at 8:35:23 PM UTC+1, Kym Horsell wrote:
>> dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
>> > On Thursday, January 7, 2016 at 8:20:03 PM UTC+1, Kym Horsell wrote:
>> >> dobri karagorgov <dobrikarate.gov@gmail.com> wrote:
>> >> ...
>> >> >> yes they jumped to wrong conclusion but never exhausted all the approaches
>> >> and possibilities for solution. you've checked the doc right, you see that
>> >> concrete numbers favor me ??? concrete numbers agree with my
>> >> solutions with absolute 100% accuracy ???
>> >> > sorted out and refined the doc... latest version at: https://docs.google.com
>> >> I think I can wait until it can solve x^5-x+1 correctly and not
>> >> the not 100% correct x^5-x+1 = 0.000202425 +/- 0.00021254 i.
>> >> Maybe you jumped to the wrong conclusion.
>> >> --
>> >> Newsflash: Steve "Hellboy" Godard finds CO2 should only
>> >> cause 2.5% of the observed global warming.
>> >> If you want to continue to believe that kind of tripe, please
>> >> avert your eyes now.
>> >> <http://www.woodfortrees.org/plot/esrl-co2/mean:60/from:1960/normalise/plot/
>> >> gistemp/mean:60/from:1960/normalise>
>> >> (Mauna Loa CO2 ppmv from c1958 vs NASA's LOTI avg global temp index).
>> > try me again {{t -> 1/12 (9 - I Sqrt[15])}, {t -> 1/12 (9 + I Sqrt[15])}}
>> is solution for t^5 - t + 1 = 0. i told you i was evaluating the binary
>> coefficient wrongfully as 2!/1!/1!.
>>
>> I think you jumped to another even more wrong conclusion.
>>
>> t ~= 0.75 -0.322749 i
>> t^5 - t + 1 ~= 0.0885417 -0.00224131 i
>>
>> --
>> During the late 1940s, Adamski wrote a novel, entitled Pioneers of
>> Space, about an imaginary trip to the moon, Venus and Mars. He listed
>> the book with the Library of Congress for copyright purposes as a work
>> of fiction. In 1953, Adamski co-authored Flying Saucers Have Landed
>> (New York: The British Book Centre) with British author Desmond
>> Leslie. The book, which was highly successful, tells of Adamski's
>> first alleged contact with SPACE PEOPLE. According to Adamski's and
>> Leslie's account, on November 20, 1952, Adamski went into the desert
>> accom~am'ed by anthropologist George Hunt Wifliamson, his wife Betty
>> Williamson, also an anthropologist and chemist, Mr. and Mrs. Al
>> Bailey, Lucy McGinnis and Alice K. Wells. After spotting a
>> CIGAR-SHAPED UFO, the others waited by the car while Adamski went into
>> a small canyon. There he purportedly met with a Venusian with whom he
>> communicated telepathically and by means of sign language. The
>> Venusian told Adamski he had come to Earth to stop atomic testing
>> because the radiation from fallout was dangerous to the other planets
>> in the solar system. After the spacecraft had left, Adamski noticed
>> that the Venusian had left deep footprints in the sand. Within the
>> outline of the footprints were strange hieroglyphics. The group
>> happened to have brought along some plaster of Paris with which George
>> Hunt Williamson was able to make a cast of the footprint.
>> -- <http://www.galeon.com/ignaciodarnaude/bibliografia_paracientifica/
>> Encyclopedia%20UFO%20M.Sachs.html>
> i know i know i know... t^5 - t + 1 has same roots with the quad polynomial:
> 1/16 (8 + 12 \[Pi] + \[Pi]^2) +
> 1/16 (-24 - 30 \[Pi] - 4 \[Pi]^2) t +
> 1/16 (16 + 26 \[Pi] + 6 \[Pi]^2) t^2 +
> 1/16 (-1 - 8 \[Pi] - 4 \[Pi]^2) t^3 +
> 1/16 (-7 + 2 \[Pi] + \[Pi]^2) t^4 == 0
...
Sorry, not according to my evaluation.
One of the roots of the quintic is approx .765 + .352i.
When you put that into your quartic is seems to evaluate to 1088, not 0.
evaluation
simple search gets x^5-x+1 quartic
x=0.7648050891 0.3521973933 ev=6.60032e-07 ev2=1088.29
x=-0.1813175243 1.08376778 ev=1.79031e-06 ev2=3479.92
Sorry. Three strikes and you're out. My best regards to St Clement.
--
[Goalpost, goalpost, wherefor art tho?]
jimp wrote:
>> Where are the bodies from people dying of thirst?
> I can't recommend search engines too highly.
> Just the first site:
> www.missionariesofafrica.org/challenges/water1.html
> ...more than 2500 children are dying each day. "When people are desperately thirsty," one official explained, "they are willing to take the risk of disease
> ...
Lack of water in Africa is political, not anything else.
-- jimp@specsol.spam.sux.com, 15 Mar 2012 01:54 -0000
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| From | dobri karagorgov <dobrikarate.gov@gmail.com> |
|---|---|
| Date | 2016-01-08 05:28 -0800 |
| Message-ID | <db08a7d6-2032-4de3-9dbe-ac5fc257ed56@googlegroups.com> |
| In reply to | #543801 |
this is my final offer take it or leave it: https://sites.google.com/site/dedanoesmadmatica/home/quintic_polynomials/quintics_06-january-2016.pdf
[toc] | [prev] | [next] | [standalone]
| From | dobri karagorgov <dobrikarate.gov@gmail.com> |
|---|---|
| Date | 2016-01-08 06:15 -0800 |
| Message-ID | <15371bfe-337c-4edc-a8f3-3c86db1ec287@googlegroups.com> |
| In reply to | #543836 |
On Friday, January 8, 2016 at 2:28:57 PM UTC+1, dobri karagorgov wrote:
> this is my final offer take it or leave it:
> https://sites.google.com/site/dedanoesmadmatica/home/quintic_polynomials/quintics_06-january-2016.pdf
there's something strange about that quintic polynomial:\>
ReplaceAll[
Sum[(n! a^(n - k) b^k)/(k! (n - k)!), {k, 0, n, n^2}], {n -> 1/2,
a -> t^5, b -> -t + 1}]
Sqrt[1 - t] + Sqrt[t^5] + (Sqrt[\[Pi]] (1 - t)^(1/4) (t^5)^(1/4))/(
2 ((1/4)!)^2)
Collect[Expand[(Sqrt[1 - t] + Sqrt[t^5])^4 - ((
Sqrt[\[Pi]] (1 - t)^(1/4) (t^5)^(1/4))/(2 ((1/4)!)^2))^4], {Sqrt[
1 - t] Sqrt[t^5]}]
1 - 2 t + t^2 + 6 t^5 -
6 t^6 + t^10 + (4 - 4 t) Sqrt[1 - t] Sqrt[t^5] +
4 Sqrt[1 - t] (t^5)^(3/2) - (\[Pi]^2 t^5)/(
16 ((1/4)!)^8) + (\[Pi]^2 t^6)/(16 ((1/4)!)^8)
Collect[Expand[(1 - 2 t + t^2 + 6 t^5 - 6 t^6 + t^10 - (\[Pi]^2 t^5)/(
16 ((1/4)!)^8) + (\[Pi]^2 t^6)/(
16 ((1/4)!)^8))^2 - ((4 - 4 t + 4 t^5) Sqrt[1 - t] Sqrt[
t^5])^2], t]
1 - 4 t + 6 t^2 - 4 t^3 + t^4 + t^20 +
t^10 (6 + \[Pi]^4/(256 ((1/4)!)^16) - (3 \[Pi]^2)/(4 ((1/4)!)^8)) +
t^12 (6 + \[Pi]^4/(256 ((1/4)!)^16) - (3 \[Pi]^2)/(4 ((1/4)!)^8)) +
t^7 (-12 - (3 \[Pi]^2)/(8 ((1/4)!)^8)) +
t^5 (-4 - \[Pi]^2/(8 ((1/4)!)^8)) +
t^15 (-4 - \[Pi]^2/(8 ((1/4)!)^8)) +
t^8 (4 + \[Pi]^2/(8 ((1/4)!)^8)) +
t^16 (4 + \[Pi]^2/(8 ((1/4)!)^8)) +
t^6 (12 + (3 \[Pi]^2)/(8 ((1/4)!)^8)) +
t^11 (-12 - \[Pi]^4/(128 ((1/4)!)^16) + (3 \[Pi]^2)/(2 ((1/4)!)^8))
Collect[PolynomialReduce[
1 - 4 t + 6 t^2 - 4 t^3 + t^4 + t^20 +
t^10 (6 + \[Pi]^4/(256 ((1/4)!)^16) - (3 \[Pi]^2)/(
4 ((1/4)!)^8)) +
t^12 (6 + \[Pi]^4/(256 ((1/4)!)^16) - (3 \[Pi]^2)/(
4 ((1/4)!)^8)) + t^7 (-12 - (3 \[Pi]^2)/(8 ((1/4)!)^8)) +
t^5 (-4 - \[Pi]^2/(8 ((1/4)!)^8)) +
t^15 (-4 - \[Pi]^2/(8 ((1/4)!)^8)) +
t^8 (4 + \[Pi]^2/(8 ((1/4)!)^8)) +
t^16 (4 + \[Pi]^2/(8 ((1/4)!)^8)) +
t^6 (12 + (3 \[Pi]^2)/(8 ((1/4)!)^8)) +
t^11 (-12 - \[Pi]^4/(128 ((1/4)!)^16) + (3 \[Pi]^2)/(
2 ((1/4)!)^8)), t^5 - t + 1, t][[2]], t]
1/256 t^2 (24576 + (6 \[Pi]^4)/((1/4)!)^16 - (
768 \[Pi]^2)/((1/4)!)^8) +
1/256 (4096 + \[Pi]^4/((1/4)!)^16 - (128 \[Pi]^2)/((1/4)!)^8) +
1/256 t^4 (4096 + \[Pi]^4/((1/4)!)^16 - (128 \[Pi]^2)/((1/4)!)^8) +
1/256 t (-16384 - (4 \[Pi]^4)/((1/4)!)^16 + (
512 \[Pi]^2)/((1/4)!)^8) +
1/256 t^3 (-16384 - (4 \[Pi]^4)/((1/4)!)^16 + (
512 \[Pi]^2)/((1/4)!)^8)
Collect[PolynomialReduce[t^5 - t + 1,
1/256 t^2 (24576 + (6 \[Pi]^4)/((1/4)!)^16 - (
768 \[Pi]^2)/((1/4)!)^8) +
1/256 (4096 + \[Pi]^4/((1/4)!)^16 - (128 \[Pi]^2)/((1/4)!)^8) +
1/256 t^4 (4096 + \[Pi]^4/((1/4)!)^16 - (
128 \[Pi]^2)/((1/4)!)^8) +
1/256 t (-16384 - (4 \[Pi]^4)/((1/4)!)^16 + (
512 \[Pi]^2)/((1/4)!)^8) +
1/256 t^3 (-16384 - (4 \[Pi]^4)/((1/4)!)^16 + (
512 \[Pi]^2)/((1/4)!)^8), t][[2]], t]
-3 + 14 t - 20 t^2 + 10 t^3
Collect[PolynomialReduce[
1/256 t^2 (24576 + (6 \[Pi]^4)/((1/4)!)^16 - (
768 \[Pi]^2)/((1/4)!)^8) +
1/256 (4096 + \[Pi]^4/((1/4)!)^16 - (128 \[Pi]^2)/((1/4)!)^8) +
1/256 t^4 (4096 + \[Pi]^4/((1/4)!)^16 - (
128 \[Pi]^2)/((1/4)!)^8) +
1/256 t (-16384 - (4 \[Pi]^4)/((1/4)!)^16 + (
512 \[Pi]^2)/((1/4)!)^8) +
1/256 t^3 (-16384 - (4 \[Pi]^4)/((1/4)!)^16 + (
512 \[Pi]^2)/((1/4)!)^8), -3 + 14 t - 20 t^2 + 10 t^3, t][[
2]], t]
(t^2 (24576 + (6 \[Pi]^4)/((1/4)!)^16 - (
768 \[Pi]^2)/((1/4)!)^8))/2560 + (
16384 + (4 \[Pi]^4)/((1/4)!)^16 - (512 \[Pi]^2)/((1/4)!)^8)/2560 + (
t (-36864 - (9 \[Pi]^4)/((1/4)!)^16 + (1152 \[Pi]^2)/((1/4)!)^8))/2560
Simplify[Solve[(
t^2 (24576 + (6 \[Pi]^4)/((1/4)!)^16 - (768 \[Pi]^2)/((1/4)!)^8))/
2560 + (16384 + (4 \[Pi]^4)/((1/4)!)^16 - (
512 \[Pi]^2)/((1/4)!)^8)/2560 + (
t (-36864 - (9 \[Pi]^4)/((1/4)!)^16 + (1152 \[Pi]^2)/((1/4)!)^8))/
2560 == 0, t]]
N[Simplify[
Solve[(t^2 (24576 + (6 \[Pi]^4)/((1/4)!)^16 - (
768 \[Pi]^2)/((1/4)!)^8))/2560 + (
16384 + (4 \[Pi]^4)/((1/4)!)^16 - (512 \[Pi]^2)/((1/4)!)^8)/
2560 + (t (-36864 - (9 \[Pi]^4)/((1/4)!)^16 + (
1152 \[Pi]^2)/((1/4)!)^8))/2560 == 0, t]]]
{{t -> 1/12 (9 - I Sqrt[15])}, {t -> 1/12 (9 + I Sqrt[15])}}
{{t -> 0.75 - 0.322749 I}, {t -> 0.75 + 0.322749 I}}
Simplify[Expand[
ReplaceAll[
t^5 - t +
1, {{t -> 1/12 (9 - I Sqrt[15])}, {t -> 1/12 (9 + I Sqrt[15])}}]]]
N[Simplify[
Expand[ReplaceAll[
t^5 - t +
1, {{t -> 1/12 (9 - I Sqrt[15])}, {t ->
1/12 (9 + I Sqrt[15])}}]]]]
{(153 - I Sqrt[15])/1728, (153 + I Sqrt[15])/1728}
{0.0885417 - 0.00224131 I, 0.0885417 + 0.00224131 I}
N[Roots[t^5 - t + 1 == 0, t]]
t == -1.1673 || t == -0.181232 - 1.08395 I ||
t == -0.181232 + 1.08395 I || t == 0.764884 - 0.352472 I ||
t == 0.764884 + 0.352472 I
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| From | Sylvia Else <sylvia@not.at.this.address> |
|---|---|
| Date | 2016-01-09 15:31 +1100 |
| Message-ID | <dfbgq2F463jU1@mid.individual.net> |
| In reply to | #543628 |
On 7/01/2016 11:04 PM, dobri karagorgov wrote: > great news ladies "solution to quintic and all polynomials" > > https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxkZWRhbm9lc21hZG1hdGljYXxneDoyMjliMjNmNGRhMTBhZmJk > > solution to all polynomials is crucial cause with Tyler differential expansion orders all functions can be expressed as infinite degree polynomials... so, somebody must develop capability of solving them. > > i did it first thanks to the formula: > > (a+b)^n = a^n + b^n + sun_(if |n| > 1 then k = 1 else k = n^2)_(k = n) (n!/k!/(n-k)!) a^(n-k) b^k > > where as if n = 1/2 then > > (a+b)^(1/2) = a^(1/2) + b^(1/2) + (2!/1!/(2-1)!) a^(1/2-1/4) b^(1/4) Which is clearly not true. Sylvia.
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| From | NoeDOTNatDOTNoe <dedanoe@gmail.com> |
|---|---|
| Date | 2016-01-09 02:07 -0800 |
| Message-ID | <7b71af5c-1186-401e-88af-6eaa00cbb803@googlegroups.com> |
| In reply to | #543964 |
On Saturday, January 9, 2016 at 5:32:05 AM UTC+1, Sylvia Else wrote: > On 7/01/2016 11:04 PM, dobri karagorgov wrote: > > great news ladies "solution to quintic and all polynomials" > > > > https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxkZWRhbm9lc21hZG1hdGljYXxneDoyMjliMjNmNGRhMTBhZmJk > > > > solution to all polynomials is crucial cause with Tyler differential expansion orders all functions can be expressed as infinite degree polynomials... so, somebody must develop capability of solving them. > > > > i did it first thanks to the formula: > > > > (a+b)^n = a^n + b^n + sun_(if |n| > 1 then k = 1 else k = n^2)_(k = n) (n!/k!/(n-k)!) a^(n-k) b^k > > > > where as if n = 1/2 then > > > > (a+b)^(1/2) = a^(1/2) + b^(1/2) + (2!/1!/(2-1)!) a^(1/2-1/4) b^(1/4) > > Which is clearly not true. > > Sylvia. i am cocking something really splendor... it's boiling, stay tunned.
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