https://groups.google.com/d/forum/sci.mathsci.mathMathematical discussions and pursuits.Google Groupsbassam king karzeddin2017-06-29T11:11:28Zhttps://groups.google.com/d/topic/sci.math/WQ0RZNhEPnIRe: What are the best refuted theorems in mathematics in this century?nonsense? Do you doubt cos(pi) = -1 and sin(pi) = 0? It is very easy, it needs only a few seconds to comprehend it completely and beyond any little doubt for sure Again and again, until all kids get it, but most likely they wouldn't like it for sure, since facts may not necessarily beburs...@gmail.com2017-06-29T10:03:52Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gRe: Rational solutions for Y = mx + b, means rational solutions only in polynomials Re: Is the Rational Zeros Theorem not universally true?Do we really need derivative? Here on page 75, the author uses talyor expansion and hence derivative of polynomials to show that polynomials are continuous. First Course in the Theory of Equations Leonard Eugene Dickson https://www.gutenberg.org/files/29785/29785-pdf.pdf Lets give it a tryPentcho Valev2017-06-29T10:03:19Zhttps://groups.google.com/d/topic/sci.math/va5-xBSKH9ARe: LIGO Conspirators Still in TroubleBelow Einstein defines deductive theory ("built up logically from a small number of fundamental assumptions, the so-called axioms") and its antithesis - empirical compilation (and there is no third alternative!): Albert Einstein: "From a systematic theoretical point of view, we may imagine thePeter Percival2017-06-29T09:42:28Zhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSIRe: How does one solve a^{p-1} = 1 (mod p^2) ?Simon Roberts wrote: > you have never written any type of program. sorry, I over estimated you. ooobviooousleeee. > I spent 24 years as a computer programmer. Had you guessed that I was no good at it, I would have agreed. -- Do, as a concession to my poor wits, Lord Darlington, justArchimedes Plutonium2017-06-29T09:08:42Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gRational solutions for Y = mx + b, means rational solutions only in polynomials Re: Is the Rational Zeros Theorem not universally true?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^2Archimedes Plutonium2017-06-29T05:59:22Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gSpine chilling math conjecture-- Geometry is more fundamental, more primal than is algebra (numbers)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 theArchimedes Plutonium2017-06-29T05:42:53Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gIs the Rational Zeros Theorem not universally true?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 zeroSimon Roberts2017-06-29T05:41:22Zhttps://groups.google.com/d/topic/sci.math/xOhkQAycSZcRe: Thanks so vey muchGod. > > > > 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.Simon Roberts2017-06-29T05:37:43Zhttps://groups.google.com/d/topic/sci.math/5MDgnU0gsdcRe: silly modulo thingsmore 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 bluntMr Sawat Layuheem2017-06-29T05:32:09Zhttps://groups.google.com/d/topic/sci.math/akMPGolTGNoRe: Amateur Math...ask SCI Guru......Math develop to Crazy Worldsความศานติและความเอ็นดูเมตตาและความโปรดปรานของอัลลอฮฺ Complexnumber-Phythagoras-Triangles??? https://www.facebook.com/photo.php?fbid=831022433719416&set=pcb.831022510386075&type=3&theaterSimon Roberts2017-06-29T05:24:13Zhttps://groups.google.com/d/topic/sci.math/-cUYbGuH6XURe: Circular sets and powers of twois 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,Simon Roberts2017-06-29T05:18:15Zhttps://groups.google.com/d/topic/sci.math/5MDgnU0gsdcsilly modulo thingsit 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) (MAINArchimedes Plutonium2017-06-29T05:02:31Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gIs the Rational Zeros Theorem not universally true?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 Solutionglat...@yahoo.fr2017-06-29T04:57:49Zhttps://groups.google.com/d/topic/sci.math/-cUYbGuH6XURe: Circular sets and powers of twoHello, 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/Archimedes Plutonium2017-06-29T04:20:45Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gSpine chilling math conjecture-- Geometry is more fundamental, more primal than is algebra (numbers)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::Mike Terry2017-06-29T03:39:19Zhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSIRe: How does one solve a^{p-1} = 1 (mod p^2) ?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 theSimon Roberts2017-06-29T02:50:01Zhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSIRe: How does one solve a^{p-1} = 1 (mod p^2) ?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 aSimon Roberts2017-06-29T02:44:47Zhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSIRe: How does one solve a^{p-1} = 1 (mod p^2) ?suppose all you want that's not why. keep guessing. sarc.Archimedes Plutonium2017-06-29T02:08:11Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gSpine chilling math conjecture-- Geometry is more fundamental, more primal than is algebra (numbers)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 thePeter Percival2017-06-29T01:48:33Zhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSIRe: How does one solve a^{p-1} = 1 (mod p^2) ?> 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 aArchimedes Plutonium2017-06-29T01:34:44Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0ghere 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 CalculusOn 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, butj4n bur532017-06-29T01:28:31Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gRe: digging into Chain Calculus Re: Theorem:: No Curves exist in math, and the Continuum is also nonexistent in math// Proof and commentsStrange 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 wordSimon Roberts2017-06-29T01:26:25Zhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSIRe: How does one solve a^{p-1} = 1 (mod p^2) ?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 aArchimedes Plutonium2017-06-29T01:20:35Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gx^5 + 5x^4 + 20x^3 + 60x^2 +120x + 120 polynomial built from integrals Re: digging into Chain CalculusOn 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 =Simon Roberts2017-06-29T01:15:23Zhttps://groups.google.com/d/topic/sci.math/8ImdSgrCREcRe: Proof of Fermat's Last Theorem (version sparse 1.)> > 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 =Simon Roberts2017-06-29T01:06:36Zhttps://groups.google.com/d/topic/sci.math/8ImdSgrCREcProof of Fermat's Last Theorem (version sparse 1.)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)Peter Percival2017-06-28T23:50:59Zhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSIRe: How does one solve a^{p-1} = 1 (mod p^2) ?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 FanPeter Percival2017-06-28T23:23:12Zhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSIRe: How does one solve a^{p-1} = 1 (mod p^2) ?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 > >Simon Roberts2017-06-28T23:01:33Zhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSIRe: How does one solve a^{p-1} = 1 (mod p^2) ?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.Archimedes Plutonium2017-06-28T22:36:06Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gdigging into Chain Calculus Re: Theorem:: No Curves exist in math, and the Continuum is also nonexistent in math// Proof and commentsAlright, 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 proofj4n bur532017-06-28T21:59:09Zhttps://groups.google.com/d/topic/sci.math/Zzie-uQY13wRe: Archimedes Plutonium is an Alzheimer FaggotCorr.: 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+2j4n bur532017-06-28T21:56:07Zhttps://groups.google.com/d/topic/sci.math/Zzie-uQY13wRe: Archimedes Plutonium is an Alzheimer FaggotBTW: 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,j4n bur532017-06-28T21:51:46Zhttps://groups.google.com/d/topic/sci.math/Zzie-uQY13wRe: Archimedes Plutonium is an Alzheimer FaggotAsk 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, andFrankie2017-06-28T21:43:07Zhttps://groups.google.com/d/topic/sci.math/Zzie-uQY13wRe: Archimedes Plutonium is an Alzheimer Faggotare > 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 doj4n bur532017-06-28T21:36:46Zhttps://groups.google.com/d/topic/sci.math/Zzie-uQY13wArchimedes Plutonium is an Alzheimer FaggotYou (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 imbecilSteveGG2017-06-28T21:07:12Zhttps://groups.google.com/d/topic/sci.math/gur_0I7NRu0Re: Proof of Staircase Conjecture, with ETH Zurich possibly publishing, says BurseWhy 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 secondsRolazaro Azeveires2017-06-28T20:25:28Zhttps://groups.google.com/d/topic/sci.math/EzYB2nULkfMRe: The StackThere 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 AzeveiresChris M. Thomasson2017-06-28T20:17:01Zhttps://groups.google.com/d/topic/sci.math/fZBCdVwvHGQRe: storing/loading n-ary data via complex numbers...[...] >> #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. TryChris M. Thomasson2017-06-28T19:15:04Zhttps://groups.google.com/d/topic/sci.math/fZBCdVwvHGQRe: storing/loading n-ary data via complex numbers...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 >>>>Archimedes Plutonium2017-06-28T19:01:01Zhttps://groups.google.com/d/topic/sci.math/E4_LUdZpfsQPage8, 2-4 Two largest errors most people have in thinking about a Atom Totality. Atom-Totality-Universe/textbook 8th ed.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 elementArchimedes Plutonium2017-06-28T18:42:56Zhttps://groups.google.com/d/topic/sci.math/-8puKimYE0gTheorem:: No Curves exist in math, and the Continuum is also nonexistent in math// Proof and commentsNewsgroups: 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 thequasi2017-06-28T18:36:06Zhttps://groups.google.com/d/topic/sci.math/EzYB2nULkfMRe: The StackIt'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?Archimedes Plutonium2017-06-28T18:31:54Zhttps://groups.google.com/d/topic/sci.math/cg-13q8gdIcplace this proof in the Math Array//Proof that No Curves exist and No Continuum existsOn 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 toChris M. Thomasson2017-06-28T18:20:09Zhttps://groups.google.com/d/topic/sci.math/fZBCdVwvHGQRe: storing/loading n-ary data via complex numbers...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 cryptographyquasi2017-06-28T18:17:07Zhttps://groups.google.com/d/topic/sci.math/LdrXFwlYoiIRe: If primes were randomly distributed"Randomly distributed" has no precise meaning without further specification. quasiChris M. Thomasson2017-06-28T18:13:38Zhttps://groups.google.com/d/topic/sci.math/fZBCdVwvHGQRe: storing/loading n-ary data via complex numbers...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 soquasi2017-06-28T18:10:53Zhttps://groups.google.com/d/topic/sci.math/Jx9I-yAYYSIRe: How does one solve a^{p-1} = 1 (mod p^2) ?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 theSегg io2017-06-28T17:56:51Zhttps://groups.google.com/d/topic/sci.math/xOhkQAycSZcRe: Thanks so vey muchsure, no problem, you may worship me now, it is OK.Chris M. Thomasson2017-06-28T17:41:43Zhttps://groups.google.com/d/topic/sci.math/fZBCdVwvHGQRe: storing/loading n-ary data via complex numbers...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. >>>> >>>> ThatArchimedes Plutonium2017-06-28T17:38:56Zhttps://groups.google.com/d/topic/sci.math/Zzie-uQY13wJulio giving me sage advice on handling insane posters, and I should heed itare > 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 a