sci.math
https://groups.google.com/d/forum/sci.math
Mathematical discussions and pursuits.enRational solutions for Y = mx + b, means rational solutions only in polynomials Re: Is the Rational Zeros Theorem not universally true?
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/ljupS8qfAQAJ
On Thursday, June 29, 2017 at 12:02:31 AM UTC-5, Archimedes Plutonium wrote: > On Wednesday, June 28, 2017 at 9:08:11 PM UTC-5, Archimedes Plutonium wrote: > > On Wednesday, June 28, 2017 at 8:34:44 PM UTC-5, Archimedes Plutonium wrote: > > (snipped) > > > > > > x^5 - 5x^4 - 20x^3 - 60x^2https://groups.google.com/d/topic/sci.math/-8puKimYE0g
Archimedes PlutoniumThu, 29 Jun 2017 09:08:42 UTCSpine chilling math conjecture-- Geometry is more fundamental, more primal than is algebra (numbers)
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/gslhgHWVAQAJ
Just like in physics, math is complimentary duals Position versus Momentum Time versus Energy Magnetism versus Electricity For math it is Geometry versus Algebra (numbers) Now do not mistake complimentarity in that both are needed but one is more primary, more fundamental than thehttps://groups.google.com/d/topic/sci.math/-8puKimYE0g
Archimedes PlutoniumThu, 29 Jun 2017 05:59:22 UTCIs the Rational Zeros Theorem not universally true?
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/qGDtLo-UAQAJ
I think this problem happened to me once in the past with the Rational Zeroes Theorem in that the theorem is poorly worded. Poorly worded and needs to include this phrase to make it clear. Stewart, Redlin, and Watson failed on making this theorem clear-- If a polynomial in New Math has a zerohttps://groups.google.com/d/topic/sci.math/-8puKimYE0g
Archimedes PlutoniumThu, 29 Jun 2017 05:42:53 UTCRe: Thanks so vey much
https://groups.google.com/d/msg/sci.math/xOhkQAycSZc/8x7UBXqUAQAJ
God. > > > > OMG. > > > > Simon R. > > > > sure, no problem, you may worship me now, it is OK. send me a "private" email then so that I may know you, rete...@gmail.com hate the word .... "wor[d]ship". goof ball.https://groups.google.com/d/topic/sci.math/xOhkQAycSZc
Simon RobertsThu, 29 Jun 2017 05:41:22 UTCRe: silly modulo things
https://groups.google.com/d/msg/sci.math/5MDgnU0gsdc/dK-lAEeUAQAJ
more silliness p^3 | p(p-1)^(p-1) - p^2 -p => p | (p-1)^(p-1) - 1 => p(p-1) | (p-1)^p - (p-1) wow. if you made any kind of money or bolstered your station in life with my ideas in the distant past, past, and recent past, you really do owe me at least a reference or credit. Be blunthttps://groups.google.com/d/topic/sci.math/5MDgnU0gsdc
Simon RobertsThu, 29 Jun 2017 05:37:43 UTCRe: Amateur Math...ask SCI Guru......Math develop to Crazy Worlds
https://groups.google.com/d/msg/sci.math/akMPGolTGNo/0t6VWvmTAQAJ
ความศานติและความเอ็นดูเมตตาและความโปรดปรานของอัลลอฮฺ Complexnumber-Phythagoras-Triangles??? https://www.facebook.com/photo.php?fbid=831022433719416&set=pcb.831022510386075&type=3&theaterhttps://groups.google.com/d/topic/sci.math/akMPGolTGNo
Mr Sawat LayuheemThu, 29 Jun 2017 05:32:09 UTCRe: Circular sets and powers of two
https://groups.google.com/d/msg/sci.math/-cUYbGuH6XU/NdSyRIqTAQAJ
is only feasible when N is a power of two: http://www.glat.info/cipo/ > > There seems to be a periodicity: http://www.glat.info/cipo/#o1-as-a-permutation > > I'd be happy to hear comments, e.g. a simpler or shorter demo, related work, periodicity... whatever you have. this may help, I hope,https://groups.google.com/d/topic/sci.math/-cUYbGuH6XU
Simon RobertsThu, 29 Jun 2017 05:24:13 UTCsilly modulo things
https://groups.google.com/d/msg/sci.math/5MDgnU0gsdc/pOjLDTeTAQAJ
it is math(s), however. let, x^p = x (mod p^i) i>=1 maximum. x^p = x + (x^p - x) x^(pp) = x^p + p(x^p - x)x^(p-1) (mod p(p^i)^2) x^(pp) = x^p - px^(2p-1) + px^p (mod p(p^i)^2) x^(pp) - x^p = - px^(2p-1) + px^p (mod p(p^i)^2) (x^(pp) - x^p)/p = 1 - x^(p-1) (mod (p^i)^2) (MAINhttps://groups.google.com/d/topic/sci.math/5MDgnU0gsdc
Simon RobertsThu, 29 Jun 2017 05:18:15 UTCIs the Rational Zeros Theorem not universally true?
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/OgDhT1uSAQAJ
On Wednesday, June 28, 2017 at 9:08:11 PM UTC-5, Archimedes Plutonium wrote: > On Wednesday, June 28, 2017 at 8:34:44 PM UTC-5, Archimedes Plutonium wrote: > (snipped) > > > > x^5 - 5x^4 - 20x^3 - 60x^2 -120x - 120 > > > > Now, quickly I see that it would have a Positive Valued Zero Solutionhttps://groups.google.com/d/topic/sci.math/-8puKimYE0g
Archimedes PlutoniumThu, 29 Jun 2017 05:02:31 UTCRe: Circular sets and powers of two
https://groups.google.com/d/msg/sci.math/-cUYbGuH6XU/TbpTohmSAQAJ
Hello, some further progress: I have optimized your original algorithm (Python code) into a 1-pass, 1-bit per element algorithm: https://github.com/glathoud/cipo/blob/master/cycles/cipo_cycles.d This led to results up to q=38: https://raw.githubusercontent.com/glathoud/cipo/master/cycles/https://groups.google.com/d/topic/sci.math/-cUYbGuH6XU
glat...@yahoo.frThu, 29 Jun 2017 04:57:49 UTCSpine chilling math conjecture-- Geometry is more fundamental, more primal than is algebra (numbers)
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/F2M8qBOQAQAJ
Yes, this can easily pass from philosophy musings into outright science. In fact feel i have a proof of it. Theorem-statement:: Geometry is more primal than numbers (algebra). Meaning both and required to form mathematics, but that geometry came first and built numbers. Proof statement::https://groups.google.com/d/topic/sci.math/-8puKimYE0g
Archimedes PlutoniumThu, 29 Jun 2017 04:20:45 UTCRe: How does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/aQTRDNGNAQAJ
Generally when p is large, to evaluate a^p mod c, we would calculate successively a, a^2, a^4 (=a^2 * a^2), a^8 (=a^4 * a^4), a^16 etc,... all reduced mod c as we go along, then multiply whichever of these we need to make a^p (again, reducing mod c with each multiplication). Look at thehttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
Mike TerryThu, 29 Jun 2017 03:39:19 UTCRe: How does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/fW2gFyCLAQAJ
just > >> not to me). > >> > >> How does one solve > >> > >> a^{p-1} is-congruent-to 1 (mod p^2) > >> > >> for odd primes p (< 1000000000, say) and a an integer (< 100, say)? > >> what I seek is a practical algorithm that may be coded in C, so obscure > >> number theory hidden inside ahttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
Simon RobertsThu, 29 Jun 2017 02:50:01 UTCRe: How does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/J_hBMdeKAQAJ
suppose all you want that's not why. keep guessing. sarc.https://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
Simon RobertsThu, 29 Jun 2017 02:44:47 UTCSpine chilling math conjecture-- Geometry is more fundamental, more primal than is algebra (numbers)
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/bBWKsteIAQAJ
On Wednesday, June 28, 2017 at 8:34:44 PM UTC-5, Archimedes Plutonium wrote: (snipped) > > x^5 - 5x^4 - 20x^3 - 60x^2 -120x - 120 > > Now, quickly I see that it would have a Positive Valued Zero Solution something in the range of say x=6. > More like x=8, and have not yet pinned down thehttps://groups.google.com/d/topic/sci.math/-8puKimYE0g
Archimedes PlutoniumThu, 29 Jun 2017 02:08:11 UTCRe: How does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/KIQ7ocWHAQAJ
> f' off dude. you asked. not happy? you'll figure it out I suppose whenever anyone asks a question there is an implied "I'm most interested in sensible answers". But I'll not press the point since I've given not-so-sensible answers to questions myself in the past. > -- Do, as ahttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
Peter PercivalThu, 29 Jun 2017 01:48:33 UTChere I mix polynomial and function into a blender of sorts Re: x^5 + 5x^4 + 20x^3 + 60x^2 +120x + 120 polynomial built from integrals Re: digging into Chain Calculus
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/ybqsewSHAQAJ
On Wednesday, June 28, 2017 at 8:20:35 PM UTC-5, Archimedes Plutonium wrote: > On Wednesday, June 28, 2017 at 5:36:06 PM UTC-5, Archimedes Plutonium wrote: > (snipped) > > > > x^5 = 243 > > 5x^4 = 405 > > 20x^3 = 540 > > 60x^2 = 540 > > 120x = 360 > > > > Nope, no normal there, buthttps://groups.google.com/d/topic/sci.math/-8puKimYE0g
Archimedes PlutoniumThu, 29 Jun 2017 01:34:44 UTCRe: digging into Chain Calculus Re: Theorem:: No Curves exist in math, and the Continuum is also nonexistent in math// Proof and comments
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/06flla2GAQAJ
Strange view on Peano. Peano had a formalist phase after he published "Arithmetices principia, nova methodo exposita", which culminated in "Formulario mathematico". The later was translated in many languages and is a real gem. There is a french edition and in this edition the french wordhttps://groups.google.com/d/topic/sci.math/-8puKimYE0g
burs...@gmail.comThu, 29 Jun 2017 01:28:31 UTCRe: How does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/PIXFQJCGAQAJ
just > >> not to me). > >> > >> How does one solve > >> > >> a^{p-1} is-congruent-to 1 (mod p^2) > >> > >> for odd primes p (< 1000000000, say) and a an integer (< 100, say)? > >> what I seek is a practical algorithm that may be coded in C, so obscure > >> number theory hidden inside ahttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
Simon RobertsThu, 29 Jun 2017 01:26:25 UTCx^5 + 5x^4 + 20x^3 + 60x^2 +120x + 120 polynomial built from integrals Re: digging into Chain Calculus
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/mlqo8z6GAQAJ
On Wednesday, June 28, 2017 at 5:36:06 PM UTC-5, Archimedes Plutonium wrote: (snipped) > > x^5 = 243 > 5x^4 = 405 > 20x^3 = 540 > 60x^2 = 540 > 120x = 360 > > Nope, no normal there, but normal with x=10 > > x^5 = 100000 > 5x^4 = 50000 > 20x^3 = 20000 > 60x^2 = 6000 > 120x =https://groups.google.com/d/topic/sci.math/-8puKimYE0g
Archimedes PlutoniumThu, 29 Jun 2017 01:20:35 UTCRe: Proof of Fermat's Last Theorem (version sparse 1.)
https://groups.google.com/d/msg/sci.math/8ImdSgrCREc/EdsvrPuFAQAJ
> > assume c was chosen from a, b, and c > > such that, > > a + b + d = 0. or, a + b + d =p (if the latter repeat; pick f = b - p and continue as if b was replaced with f: a + f + d = 0) > > > x^p + y^p + z^p = 0 > > x^p = a^p (mod p^2) > > y^p = b^p (mod p^2) > > z^p =https://groups.google.com/d/topic/sci.math/8ImdSgrCREc
Simon RobertsThu, 29 Jun 2017 01:15:23 UTCProof of Fermat's Last Theorem (version sparse 1.)
https://groups.google.com/d/msg/sci.math/8ImdSgrCREc/k88odHuFAQAJ
Proof of Fermat's Last Theorem (version sparse 1.) "Now for something completely different" p does not divide xyz assume a prime p and x^p + y^p + z^p = 0 proof. x = p + (x - ip) x^p = p^2(x - ip)^(p-1) + (x-ip)^p (mod p^3) x^p = p^2[x^(p-1) - ip(p-1)x^(p-2)] + (x-ip)^p (mod p^3)https://groups.google.com/d/topic/sci.math/8ImdSgrCREc
Simon RobertsThu, 29 Jun 2017 01:06:36 UTCRe: How does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/1_HQBluBAQAJ
Thank you. -- Do, as a concession to my poor wits, Lord Darlington, just explain to me what you really mean. I think I had better not, Duchess. Nowadays to be intelligible is to be found out. -- Oscar Wilde, Lady Windermere's Fanhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
Peter PercivalWed, 28 Jun 2017 23:50:59 UTCRe: How does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/mDsnDNd_AQAJ
What programming language do you have in mind that allows me to evaluate an arithmetic expression [ I^(p-1)%p^2 ] and then assign a value [ I^(p-1)%p^2 = x ] to that evaluated expression? I expect you mean set x to I^(p-1)%p^2 rather than set I^(p-1)%p^2 to x. > for I = 1 to n do > >https://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
Peter PercivalWed, 28 Jun 2017 23:23:12 UTCRe: How does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/TYh7q6h-AQAJ
boy o boy. for p = 1 to whateva do if p is prime (may be difficult) then begin for I = 1 to n do I^(p-1)%p^2 = x if x = 0, spit result of I in c:\blah blah blah. end do end end do very rusty nest.https://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
Simon RobertsWed, 28 Jun 2017 23:01:33 UTCdigging into Chain Calculus Re: Theorem:: No Curves exist in math, and the Continuum is also nonexistent in math// Proof and comments
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/iV4FE0V9AQAJ
Alright, I am satisfied that those pictures are a proof of no curves/ no continuum exists in math, otherwise we lose Calculus. That is a loss too large. Now I need to trim that proof, because the statement is far smaller than the proof. If I can do just one picture, then I have the proper proofhttps://groups.google.com/d/topic/sci.math/-8puKimYE0g
Archimedes PlutoniumWed, 28 Jun 2017 22:36:06 UTCRe: Archimedes Plutonium is an Alzheimer Faggot
https://groups.google.com/d/msg/sci.math/Zzie-uQY13w/hgLP8UB7AQAJ
Corr.: in vacation, and I don't see any reason to stop AP is so stupid that he gets provoked by my heading "Archimedes Plutononium is an Alzheimer Faggot", compared to this JG was really a genius, quite robust, could take millions of bird brains. Am Mittwoch, 28. Juni 2017 23:51:46 UTC+2https://groups.google.com/d/topic/sci.math/Zzie-uQY13w
j4n bur53Wed, 28 Jun 2017 21:59:09 UTCRe: Archimedes Plutonium is an Alzheimer Faggot
https://groups.google.com/d/msg/sci.math/Zzie-uQY13w/BqbElhZ7AQAJ
BTW: Putting me in your kill file has never impres- sed me. Here have some fun guys and cool down: Werbung VW Tiguan lachende Pferde Trailer https://www.youtube.com/watch?v=Wlc2l5zYZPU Am Mittwoch, 28. Juni 2017 23:51:46 UTC+2 schrieb burs...@gmail.com: > to repeatedly tell AP the truth,https://groups.google.com/d/topic/sci.math/Zzie-uQY13w
j4n bur53Wed, 28 Jun 2017 21:56:07 UTCRe: Archimedes Plutonium is an Alzheimer Faggot
https://groups.google.com/d/msg/sci.math/Zzie-uQY13w/sm4Cydl6AQAJ
Ask JG, I am pretty sure that I am not the cause that he stopped. You know its summer time right now. He will pop-up again, when his vacation is over, same for BKK. The only crank that has given up so far, is Mückenheim. Coincidence right now, AP isn't in vacation and I am not in vacation, andhttps://groups.google.com/d/topic/sci.math/Zzie-uQY13w
j4n bur53Wed, 28 Jun 2017 21:51:46 UTCRe: Archimedes Plutonium is an Alzheimer Faggot
https://groups.google.com/d/msg/sci.math/Zzie-uQY13w/i2any2B6AQAJ
are > already doing. As for you, Jan Burse, please snap out of it, I am sure > you can do better than that. > > *Plonk* > > Julio This is sad, but I agree with you, Julio. Since JG stopped posting regularly, Jan seems desperately looking to get rid of AP on sci.math. I'm sure he can dohttps://groups.google.com/d/topic/sci.math/Zzie-uQY13w
FrankieWed, 28 Jun 2017 21:43:07 UTCArchimedes Plutonium is an Alzheimer Faggot
https://groups.google.com/d/msg/sci.math/Zzie-uQY13w/n4OMHQh6AQAJ
You (AP) have already violated your rule today, in that you where spamming the exact same content twice: Post 1: https://groups.google.com/forum/#!topic/sci.math/-8puKimYE0g Post 2: https://groups.google.com/d/msg/sci.math/cg-13q8gdIc/UmwYhvFvAQAJ So its pretty clear that you are an imbecilhttps://groups.google.com/d/topic/sci.math/Zzie-uQY13w
j4n bur53Wed, 28 Jun 2017 21:36:46 UTCRe: Proof of Staircase Conjecture, with ETH Zurich possibly publishing, says Burse
https://groups.google.com/d/msg/sci.math/gur_0I7NRu0/S4i4AWt4AQAJ
Why don't you post so others can easily read ! I might have been interested in what you had to say, but I gave up after a few secondshttps://groups.google.com/d/topic/sci.math/gur_0I7NRu0
SteveGGWed, 28 Jun 2017 21:07:12 UTCRe: The Stack
https://groups.google.com/d/msg/sci.math/EzYB2nULkfM/WpxcQSR2AQAJ
There is a chat at Stack Exchange: https://chat.stackexchange.com//?host=math.stackexchange.com I never used it, so I do not know if it is a healthy place or not -- Rolazaro Azeveireshttps://groups.google.com/d/topic/sci.math/EzYB2nULkfM
Rolazaro AzeveiresWed, 28 Jun 2017 20:25:28 UTCRe: storing/loading n-ary data via complex numbers...
https://groups.google.com/d/msg/sci.math/fZBCdVwvHGQ/YY5eDK51AQAJ
[...] >> #define CT_PI2 6.283185307179586476925286766559 >> #define CT_LOAD_MAX 32 >> #define CT_FIND_EPS 0.001 [...] One more point. CT_FIND_EPS is the epsilon used for finding roots in the load function. This is pretty coarse and can induce errors wrt storing certain bit patterns. Tryhttps://groups.google.com/d/topic/sci.math/fZBCdVwvHGQ
Chris M. ThomassonWed, 28 Jun 2017 20:17:01 UTCRe: storing/loading n-ary data via complex numbers...
https://groups.google.com/d/msg/sci.math/fZBCdVwvHGQ/DCE_rUxyAQAJ
wrote: >>>> On 6/26/2017 6:51 PM, Chris M. Thomasson wrote: >> <snip> >>>>> This type of data is helping me understand whats going on here. >>>> >>>> Two integers would be fine. a and b such that a/b gives an angle >>>> sufficient enough to generate angles for encode/decode. The string >>>>https://groups.google.com/d/topic/sci.math/fZBCdVwvHGQ
Chris M. ThomassonWed, 28 Jun 2017 19:15:04 UTCPage8, 2-4 Two largest errors most people have in thinking about a Atom Totality. Atom-Totality-Universe/textbook 8th ed.
https://groups.google.com/d/msg/sci.math/E4_LUdZpfsQ/b1TiP4hxAQAJ
Page8, 2-4 Two largest errors most people have in thinking about a Atom Totality. Atom-Totality-Universe/textbook 8th ed. PLUTONIUM-ATOM-TOTALITY-UNIVERSE + AP/Maxwell-Equations-Describing all of Physics, 8th ed. Alright, if you are guessing that the Cosmic Atom is the chemical elementhttps://groups.google.com/d/topic/sci.math/E4_LUdZpfsQ
Archimedes PlutoniumWed, 28 Jun 2017 19:01:01 UTCTheorem:: No Curves exist in math, and the Continuum is also nonexistent in math// Proof and comments
https://groups.google.com/d/msg/sci.math/-8puKimYE0g/Wzt7yotwAQAJ
Newsgroups: sci.math Date: Wed, 28 Jun 2017 11:31:39 -0700 (PDT) Subject: place this proof in the Math Array//Proof that No Curves exist and No Continuum exists From: Archimedes Plutonium <plutonium....@gmail.com> Injection-Date: Wed, 28 Jun 2017 18:31:40 +0000 place this proof in thehttps://groups.google.com/d/topic/sci.math/-8puKimYE0g
Archimedes PlutoniumWed, 28 Jun 2017 18:42:56 UTCRe: The Stack
https://groups.google.com/d/msg/sci.math/EzYB2nULkfM/vNj3KyxwAQAJ
It's very good for its intended purpose -- questions and answers. >>>What do you think of MathJax? >>>Is there software for writing it? >> >>MathJax is learnable. One can inspect the MathJax >>in posts by others, then copy, paste, and edit. > >Copy, paste and edit what? Raw MathJax code?https://groups.google.com/d/topic/sci.math/EzYB2nULkfM
quasiWed, 28 Jun 2017 18:36:06 UTCplace this proof in the Math Array//Proof that No Curves exist and No Continuum exists
https://groups.google.com/d/msg/sci.math/cg-13q8gdIc/UmwYhvFvAQAJ
On Wednesday, June 28, 2017 at 12:33:22 AM UTC-5, alouatta....@gmail.com wrote: (snipped) > > See what you can do with the fourth power. Actually, it appears as though the higher the power, the more accurate the derivative and integral converges to the power rule without even having to go tohttps://groups.google.com/d/topic/sci.math/cg-13q8gdIc
Archimedes PlutoniumWed, 28 Jun 2017 18:31:54 UTCRe: storing/loading n-ary data via complex numbers...
https://groups.google.com/d/msg/sci.math/fZBCdVwvHGQ/3acbkE1vAQAJ
2 >>>>> pi. >>>>> Which means, as an encoding scheme, this could be quite efficient, and >>>>> with >>>>> arbitrary precision it is exact for arbitrary string length. >>>>> >>>>> As such, that scheme could be useful e.g. for drawing Julia sets. >>>>> It's >>>>> not suited for cryptographyhttps://groups.google.com/d/topic/sci.math/fZBCdVwvHGQ
Chris M. ThomassonWed, 28 Jun 2017 18:20:09 UTCRe: If primes were randomly distributed
https://groups.google.com/d/msg/sci.math/LdrXFwlYoiI/3OfHGyNvAQAJ
"Randomly distributed" has no precise meaning without further specification. quasihttps://groups.google.com/d/topic/sci.math/LdrXFwlYoiI
quasiWed, 28 Jun 2017 18:17:07 UTCRe: storing/loading n-ary data via complex numbers...
https://groups.google.com/d/msg/sci.math/fZBCdVwvHGQ/wP9zc_JuAQAJ
to >>> reference some fairly small angles within it. >> >> The relation there is fixed: if we map the empty string to Z=-1 (as I am >> doing) with an angle (as a multiple of 2 pi) of 1/2, the two strings of >> length 1 will be "0" with an angle of 1/4 and "1" with an angle of 3/4, >> and sohttps://groups.google.com/d/topic/sci.math/fZBCdVwvHGQ
Chris M. ThomassonWed, 28 Jun 2017 18:13:38 UTCRe: How does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/l1DWG8xuAQAJ
For all integers b with gcd(b,p) = 1, we have b^((p)(p-1)) = 1 (mod p^2) hence the congruence a^(p-1) = 1 (mod p^2) has at least one of the solutions a = b, a = b^p, and for b randomly chosen, a = b is very likely. As far as computing a^(p-1) mod p^2 for a given value of p, use thehttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
quasiWed, 28 Jun 2017 18:10:53 UTCRe: Thanks so vey much
https://groups.google.com/d/msg/sci.math/xOhkQAycSZc/0REgCQhuAQAJ
sure, no problem, you may worship me now, it is OK.https://groups.google.com/d/topic/sci.math/xOhkQAycSZc
Sегg ioWed, 28 Jun 2017 17:56:51 UTCRe: storing/loading n-ary data via complex numbers...
https://groups.google.com/d/msg/sci.math/fZBCdVwvHGQ/wxGYrDRtAQAJ
calculations >>>> with complex numbers actually involved, no taking roots etc., just >>>> directly >>>> getting the two integers based on the geometric symmetries: which I >>>> haven't >>>> had the time to think about yet, but should be some pretty simple closed >>>> formula. >>>> >>>> Thathttps://groups.google.com/d/topic/sci.math/fZBCdVwvHGQ
Chris M. ThomassonWed, 28 Jun 2017 17:41:43 UTCJulio giving me sage advice on handling insane posters, and I should heed it
https://groups.google.com/d/msg/sci.math/Zzie-uQY13w/9kZOmw1tAQAJ
are > already doing. As for you, Jan Burse, please snap out of it, I am sure > you can do better than that. > > *Plonk* > > Julio Thanks, Julio, I have found your posts very helpful through the years, and will heed your advice up to *no more than one post a day involving Burse* One post ahttps://groups.google.com/d/topic/sci.math/Zzie-uQY13w
Archimedes PlutoniumWed, 28 Jun 2017 17:38:56 UTCRe: How does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/TvdM8cdpAQAJ
A Wieferich prime is a prime p such that 2^(p-1) == 1 (mod p^2) . Wikipedia says the only Wieferich primes known today are 1093 and 3511. Wikipedia on Wieferich primes : < https://en.wikipedia.org/wiki/Wieferich_prime > . The article on Modular exponentiation explains how to computehttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
David BernierWed, 28 Jun 2017 16:38:58 UTCLIGO Conspirators Still in Trouble
https://groups.google.com/d/msg/sci.math/va5-xBSKH9A/QLMf3MRpAQAJ
"How Uncertain Are LIGO's First Gravitational Wave Detections? The ripples were so powerful, they stretched and compressed the entire Earth by the width of a few atoms, allowing the LIGO apparatus to directly detect gravitational waves for the first time. This confirmed Einstein's Generalhttps://groups.google.com/d/topic/sci.math/va5-xBSKH9A
Pentcho ValevWed, 28 Jun 2017 16:38:45 UTCHow does one solve a^{p-1} = 1 (mod p^2) ?
https://groups.google.com/d/msg/sci.math/Jx9I-yAYYSI/Kv3wx45lAQAJ
Were there a newsgroup devoted to algorithms I would post this to it, but it seems there isn't. I suspect the answer is well-known (but just not to me). How does one solve a^{p-1} is-congruent-to 1 (mod p^2) for odd primes p (< 1000000000, say) and a an integer (< 100, say)? what I seekhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSI
Peter PercivalWed, 28 Jun 2017 15:21:34 UTCRe: Dividing up food - digression
https://groups.google.com/d/msg/sci.math/EzYB2nULkfM/Lxd5Kx5lAQAJ
I posted a problem at Theoretical Computer Science Stack Exchange and now I can't find it! I wouldn't have been surprised to get mail of the kind known as "e" telling me that my question was inappropriate, but that hasn't happened. -- Do, as a concession to my poor wits, Lord Darlington,https://groups.google.com/d/topic/sci.math/EzYB2nULkfM
Peter PercivalWed, 28 Jun 2017 15:13:31 UTC