@DLSings Thanks for the vote of confidence! Much needed at the mo since my back's still against the wall (with finances and romances especially... it's been pretty tough dealing with all the nervy (and often drunk) victims of the crazy economy/muso scene round here these last few years... good job I've been trained on something 100 times tougher then: the research in maths). And you are right about the nightmares of divisions by zero also...unless you're into the "extended" complex plane!
@odinheim (As ever) gr8 to hear from you (both here and on the phone... sure: DO come and visit - it would do wonders for all of us: arrangements needn't be complicated). As for integral sin(tan x)... that is surely impossible in "closed form", and I don't know what language that blurb with the "%29£ is!
Hello Tim I just encounter once again a very difficult integral with some crazy results here is solve integral sin(tanx)). i=solve+integral+sin%28tanx%29%29
... [I will carry on typing this tomorrow - unlike many of you revolting spammers, trollers, spam-bots, tarts, slaves, junkies, pigs (and religious-nuts or 2012-nuts): yes (ahem) unlike all them tossers, I am human and have other things to do] !!!
... through that he got into gambling... leading to probability theory... leading to a glittering career in mathematics. When he met me he asked what I was studying (other than the fine plate of food I was relishing). When I answered "Random Matrix Theory...and the possibly similar behaviour of their eigenvalues and the zeros of the Riemann zeta function" (because Martin Huxley had sent me to Oberwolfach to learn of such things)... he was in a position to reveal himself as quite clued-up...
... I met Persi Diaconis in 2001 and 2002. Quite a character. He got sick of school (and who know's what else) at an early age (AS I DID - AS MANY SANE PEOPLE DO - AS MANY DECENT KIDS DO...Y'KNOW: THE 1s WHO FIGURE THEY HAVE BETTER THINGS TO DO WITH THEIR LIFE THAN FIGHT, WANK, BOAST, LEARN ABOUT DISGUSTING HISTORY AND MYTHS, BE A SLAVE TO VIOLENT HYPOCRITICAL TOSSERS LIKE THEIR PEERS AND RUDE TEACHERS)... so ran off to the circus (like Nellie the Elephant!)...
ARE WE ALLOWED TO GO BACK TO THE MATHS NOW?! YES WE ARE, DAMMIT: I BUILT THIS PLACE (this corner of cyberspace)... I MAKE THE RULES HERE (AND ENFORCE THEM): If you only had the slightest idea how much more maths (and juggling... and other stuff) I have been working on (watch this space)! SO (1 last time): If you're a 2012-nut then SORT YOURSELF OUT or just piss off and die quietly (without dragging anyone else down)...
... so if you're on some kind of mission to attack me (or the innocent, sane and beautiful world of maths) THEN JUST PISS OFF AND DIE: I don't give 2 shits if you're a mofo like a lawyer, marine, Jew, Muslim, professor, bank manager (MURDERING SOUL-LESS TWATS - ALL OF THEM), IT-nut...whatever: I don't care how pretty your tits are... if you intefere with innocence, good work, peace, love... THEN TO HELL WITH YOU AND YOUR SHITTY GOD!
This is MY video. This is MY corner of cyberspace. If you don't like the Prime Number Theorem THEN DON'T COME HERE (OR ELSE). I don't always like it myself... THERE ARE OTHER THINGS IN LIFE (and on my channel)... so I only visit here sometimes myself...
... there are (often tragic) examples EVERY DAY (has been since time immemorial). Indeed we endured the revolting frenzy of YET ANOTHER "rapture"-prediction (or should we say ATTEMPT) just this last weekend !!! These lunatics just won't stop attempting to beat their own DAMN STUPID book (which says "if someone tells you they know when the hour of reckoning is... THEN DON'T BELIEVE THEM).
I sent Ali Adams (pureprimes) a long "let's get a grip and not let 2012-nutterdom get to us" type message (along with "I will send you a friend request on 1st Jan 2013"). BTW HE POSTED THE SAME NONSENSE ON SOME OF THE OTHER MAIN truly pure PRIME-RELATED YOUTUBE VIDS. I also tried posting another comment here (but the crappy computer crashed at the crucial moment)...so this is take II: ALL PROPHECY IS MADNESS - AND POTENTIALLY SELF-FULFILLING...
BASTARDOS! The malicious infants forever pissing around with the web (i.e. M'soft, google, youtube...) have screwed up my browser enough to make it impossible for me to delete the comment from the 2012-babbling nutter (pureprimes).
FOR PART 2 CLICK AND PAUSE AT 5:24 (not yet extracted and edited into whacky vid -to keep the musos off my back - mainly because of malfunctioning computers, housing market and people around me...see earlier comments!).
...until she kind of says "er, Tim - have you noticed another decade (and a few more petty WWIII attempts, hokey Random House publishing...and Maiden tours) have passed?" ...or whatever ("no. of course not. what kind of nut do you nuts take me for?! (rhetoric ?) - and I leave such inane considerations to the fools with uniforms, collars, guns or money"!!)
@nicodougy ... e.g. .Chris Hughes (who I met at the Germany conference in Y2K) got his PhD in 1 year...SO WHAT? As soon as you start mulling over what diagonalisations of random matrices may tell you about $zeta'(s)$ you forget all about how pretty Nina is (or whatever)....wouldn't even care if you hadn't eaten or slept for a week....
@nicodougy ... PS you'll find refs to Lauren elsewhere (e.g. 1 of the Mandelbrot zoom vid descrips -she is now also English Fellrunning Champion)...she signed up for PhD under Roger Penrose in about '97... STILL not got it...BUT THAT DOESN'T MATTER COS IN THE real WORLD OF RESEARCH Roger and Martin (and the other few good guys) COULN''T CARE LESS ABOUT ACCOLADES AND TITLES (unless failure of recognition of their work threatens their livelihood)...
. the TRUTH: I give the good people what THEY want (not what I want or what I THINK they want)...and I was WAITING for another PNTptII request!!!... PS IT'S THERE ALREADY (minus the superficial editing and music etc etc): just click and pause on 5:18 or something... I say "or something" because after I got your message I watched PNTptI again to find where the frame was...but then Lauren turned up again (disrupting use of my vid computer-browser no good 4 it)....
@nicodougy ...I NEARLY managed to tear myself away from inane financial/slavery pressures (actually the weather was splendid also...so for health (and gr8er good) I bathed in the Sol-beams... and met random maths/juggling people (and sheep) to babble to)... tear myself away long enough to FINALLY upload 50 vids (incl PNT pt II) I've been editing, I mean...
@nicodougy: Cheers for (motivating and) digesting my latest diatribe... I left the best of it in your inbox for your eyes only (for now). I yearn for a world of total peace and honesty (how could a mathematician want otherwise?)...hence (what with everything being backwards because nearly everyone else HATES peace and truth) sometimes have to fight tooth and nail to be not taken for the diametric opposite to that (ooh - and I need a little fun 2 sometimes)! ...
...thanks to a pretty good book that kind of harvest all important stuffs around Zeta. From my modest knowledge, I am still conviced that all this is related to symmetry (I am not just talking about the Riemann formula), some hidden symmetry that needs to be found and I think, if it's done one day, the proof has more chance to be algebraic than coming from pure complex analysis. Almost all in nature is symmetry and defintely there is a complex kind of symmetry in the primes... cheers
Actually I already watched the other video!...quite nice. Another good video posted on Youtube is called something like "Zeta function- the elegant dance..." and you realize the complex mixing between order and chao in the behavior of the Zeta (there is a order somehow right...at least that is the hypothesis and Bernard!)...Myself I am actually a physicist but I always got some kind of obsession with primes. Few months ago I started to study a bit of the Riemann paper and other stuffs on Zeta.
...and working VERY hard (under the worst pressure ever in these last few months...there WILL be a reckoning (and compensation) because of the murderous insanity and abuse piled on from the bastards that are making a mockery of the law, academic system and computer industry (not least: police and fruitcake bubble-world "academics"). We've ALL been under this pressure -so naturally (what with kettlers and bank managers STILL being left alive) I've had quite a few friend's deaths with recently.
(like most of my questions it is rhetorical because I've answered it 1000 times before -incidentally I DO suggest you watch my "Scrolling graph of Riemann-Siegel Z(t)" video- ...and am working out how to get PAID for having to do that))... [time for a much-needed break...I've already just spent more time bashing in comments (in glee at receiving nicodougy's comment) than it would to upload Part 2...but I HAVE THE RIGHT (AND NEED) TO WORK TO MY OWN SCHEDULE...
...(mundane enough to actually get published in some obscure journal maybe...rather than in a more open an honest medium like youtube (well it IS "honest" provided you are willing to go through the agony of warding off all the cranks... and worse: the defensive false-crank-labellers (why do you think I bunged in a few seconds of Metallica's "Unforgiven"?!....
...along with me: I'm the 1 with the tea to my lips at his retirement party, and I'm fairly sure the department was pleased to be rid of him: believe me it's TOUGH me having to put up with him now... but we keep the peace effortlessly when unpressured [by nutcase bullies like police, relatives, rock kids (esp the single mums), politicians or bankers]: e.g. we've just written a paper on an inequality for the Gamma function...
...although I do admit that I didn't influence him much in his regurtitation of the Selberg-Erd\"os proof he put in at the end (to appease the 'elementary' proof pushers...pushers like ME for example... he's 'just' a nutty burnt-out functional analyst...who (his words) became a 'Hardy-Littlewood-Polya inequality freak). "him" being g.jameson@lancs.ac.uk - you can see him in the mugshots...
@nicodougy (I am posting this as a new comment since as ever the fools have decided to change the way youtube is functioning -so I can't see how to 'respond' to yout comment). Thankyou for the most sensible comment on this video (or any of my other videos) for some time now! Yes of course I mean $\pi(x)\ln x/x\to 1$ (and that is what it says)...
I guess you mean pi(x)ln(x)/x tends to one (in your comment on part2). When is Part2 coming by the way? There are also others relatively short proofs of the PNT using only number theory (no complex analysis needed). And to RobertMOdell,l I would just say, that this is simply called a "passion" and you don't choose a passion, it just takes you, with everthing it implies. But men definitely need passion! As Hegel said: Nothing big in this world has been made without passion...isn't it?
If you're looking for a revolutionary new way to visualize the geometry aligning the distribution of prime numbers (and especially the twin primes), check out (google) the Croft Spiral Sieve.
I can't help but to ask this question. In the end, one day you will reach the end of your natural life. Can you explain to me what it is that has led you to devote so much of your precious little time here on Earth into the study of patterns in numbers? Looking back on life, realizing all the alternative pursuits that you forfeited in order to take on this topic, how do you avoid regrets? Is it that you enjoyed this particular ride enough, and hence are satisfied? If not, then what is it?
@RobertMOdell I have been trying to explain the answer to that question to people for about 15 years. Very usually when people ask it they just don't want to know the answer (the bullying is relentless, but so am I so they never win...unless they also get a life). You sound a lot more genuine than the bullies, so I clicked "like" on your question! Last couple of years been especially difficult, and youtube has provided a crucial escape mechanism (e.g. through youtube I got to go to Norway).
@ortega24024 I have been forced to tear myself to shreds over and over in attempting to answer the question to myself I suppose (but enough is enough). That is not least because of the way that this sick society abuses and misuses science. There is a greater good and many a time I have had to sacrifice my mathematical pursuits for that (the authorities HATE it when people show that level of sacrifice). Books like "Godel, Escher, Bach" show how wrong that kind of introspection can go.
@ortega24024 Maths is just one aspect of my life. It is SO important to find a balance (and SO difficult when all that is sacred to many is the one square mile, i.e. that den of insane rampaging liars: the City of London). Try looking at my other 82 (and counting) videos...and the detailed descriptions/comments to witness me attempting to answer you curiosity.
@ortega24024 If the money-obsessed beurgois selfish bastards (my dad doing a good impression of them right now) would just leave me alone (except when they want to get on with clean decent things) then it would have all read much better ages ago. In fact... try the vid I'm about to upload right now...
@ortega24024 No bullying here. My question was genuine. There are many different ways to look at one's own life pursuits. I know that well from my own life. I was just wondering if you would be willing to share a little on this topic. No pressure. I too have encountered difficult roads in life. What better calalyst is there to get one reflecting on life's meanings? Glad you liked my question and hope to hear more...
Could you please make a series of videos to demonstrate how you derived all the functions / formulas shown in this video, in a step by step manner, where even a laymen with average math knowledge can follow.
Most experts find difficult to explain matters without assuming and jumping steps.
Hope you take my request as a challenge in a professional capacity and with good faith.
@fonsidream Certainly. I am actually hard at work on much more maths (for youtube, books, websites, journals... all sorts). That includes working on exactly the kind of expansion you are asking for... so instead of just sitting here boldly nattering on about what is to come, I better just go and get vid editing pronto...!!
In the meantime, you could do worse than get yourself a copy of the book I helped my dad write all those years ago (The Prime Number Theorem - Cambridge University Press).
@sikory You are not being annoying at all. I thankyou greatly for your corrections. I made the video in the space of one day (and the earlier maths vids in the space of hours). Rest assured I am working hard on some much more thought out vids which will appear eventually. Maths is meant to be crystal clear and 100% correct. I was horrified when I realised how littered with mistakes (and worse) the journals and books are. I have spent much time in total correcting errors...
@ortega24024 ...often for no reward (or worse... not least because one sometimes comes up again misplaced academic pride). Corrections are vital. Without them what we are doing would be nonsense, not maths. So what YOU are doing is great (keep up the good work). Well this is the 1st time I've found time to get on youtube for about 3 weeks: I am on cloud 9 in Austria, having survived homelessness in Brixton to get here (if you want security don't JUST do maths), hardcore mountaineering...
@ortega24024 ...and (MUCH harder) managed not to go COMPLETELY insane because of having to stand up to my brutal and neurotic parents (see description to "Sick of it all...". I've just broke free from them again so am in nirvana in an Austrian relative's house so have a few days to chill before getting back to England and sorting out those vids). Your comment is just the kind of thing I need to bring me back to "reality",
@ortega24024 still, parentheses at the end of a line aren't really necessary... it's implied by ending the line i guess. Although that's just me trying to be a not so rigorous mathematician/physicist in training (I guess that will make me nervous for any exam in analysis, but that's another story)
@MrTrinidaddy1 Sorry I think I accidentally clicked the thing that said your criticism of the music was "spam" (was only trying to vote it down -ha!). Each to their own...you can always just turn off the music. Actually all the suspect music and larking around on my youtube is just there to suck people into the proper stuff like maths, computer graphics and chess... and that's working VERY well: e.g. was another of Dougal's songs on another maths vid that led me to a maths trip to Norway!
@tigerfedor Nowt wrong with having a laugh at it all! If you want to try getting it more then just use pause button, watch it over and over again... or use techniques to cut out all the noise in the brain and just focus on it more. It's CERTAINLY not just you, cos it's the same with everyone (even the very top people I've met): it takes TIME to get these things (I was bottom of the class at maths at school once).
I can't watch more than 30 seconds of this without (a) getting behind on reading your parenthetical remarks, and (b) wishing you had fewer parenthetical remarks because they're not helpful.
@lelyn1234. Certainly a fair comment. It's impossible to please everyone. As it says at the beginning, the whole thing just fills up 1 page in my notes. More often people moan to me that there's not enough such remarks, and what I think is deeply ridiculous is that typically this kind of material takes up MUCH more space in books that make it seem MUCH more complicated than it is.
Yes that's the Robin Chapman I mean, Mangosuxcok (honestly - why defile yourself with such a name?!). Back in '96 I was at an Exeter Uni open as a prospective student (but I ended up at Cardiff under Harman, then Huxley). I found myself summoned to his office (maybe he thought I was someone else) for what turned into a lecture on elliptic curves and modular forms (we were still excited about proof of FLT). Met him again at B(A)MC '02.
... We swap thoughts sometimes (in fact I e-mailed him today about the factor of the 14th Fermat number that has been discovered). He reckons I'm destined to write "the best ever textbook on analytic number theory" (we'll see, we'll see...in the meantime I am forced to do more mundane things to pay the bills and impresse the chicks -e.g. off to Oslo soon to give maths tuition to a guy I got chatting with after he watched my "Perturbed cubic Gauss sums" video).
Robin is always entering (and often winning) competitions. Last time he got back to me he attached a link demonstrating he'd won the Private Eye crossword. He was the man to talk to about proofs of zeta(2)=pi^2/6 because he used to maintain a website collecting them -but I didn't submit the "real" proof I came up with (the 1st shown in the vid) because I worked out it was essentially the same as one by Nick Lord in the Maths Gaz.
Now let's see if we can find that Mastermind show on youtube...
I've solved and proved the Riemann hypothesis, i will have it on utube within months, right now trying to have it published via major news papers(beacuse it is instanly recognized), also i have sent 100s of emails but no reply...
They all laughed at Christopher Columbus...who's got the last laugh now. The academic community can seem brutal sometimes. I give anyone the benefit of the doubt and look forward to examining your work.
Trying to prove any kind of "relationships" between different primes seems to be pretty much impossible given our present knowledge.
All we are aiming for here is the fact that there's about x/ln x of them up to x. More accurate versions of the PNT are discussed in my annotations to my video "Scrolling graph..."
The unproved "Cramer model" suggests that statistically primes behave much like random sequences of numbers you'd get by including a number n in a sequence with probability 1/ln n.
Some of this material is easier to understand in Derbyshire's (sp?) book on the Riemann hypothesis.
I have a minor in math, but can't follow very well what you are presenting. And people better at math than I (many, many people) probably don't need an explanation. I liked the complex graph of the Zeta function, though :)
I've only just got myself of Derbyshire's (sp OK) "Prime obsession" book (I thought I better know what's out there already if I'm gonna play maths populiser).
Neat book, I think. But books like that are largely presenting interesting stories - MUCH more information than is required to prove PNT. Partially they are pop-sci books trying to generate interest amongst people who haven't got the inclination to learn how things really work...
...Sabbagh's book ("Dr Riemann's zeros")even has an appendix outlining some of de Brange's work (one of the guys on the mountain photo I cheekily included) - SO much harder to follow than PNT!
"The music of the primes" by Marcus du Sautoy is more accurate than Sabbagh when describing technicalities.
But many books containing proofs of PNT make it look too hard.
Anyway, cheers for the feedback. The plot of the zeta function is a taste of animated vids to follow. I'll upload part 2 soon.
Oh that's not good: WMG have a copyright issue with it, resulting in ads obscuring some of the vital stuff. Maybe it was the Napster-hating Metallica (song aborted on sound track anyway). I might do a more acceptable version of it tomorrow...
@singingbanana ...oh maybe that's OK, cos if people are kept busy clicking 'x' it'll stop them from falling asleep (I'm an eternal optimist so always find a bright side). Cheers for stopping by again, bananaman. If you digest it fully then you'll see there's not much to it really (I made Nick understand it once).
@DLSings Thanks for the vote of confidence! Much needed at the mo since my back's still against the wall (with finances and romances especially... it's been pretty tough dealing with all the nervy (and often drunk) victims of the crazy economy/muso scene round here these last few years... good job I've been trained on something 100 times tougher then: the research in maths). And you are right about the nightmares of divisions by zero also...unless you're into the "extended" complex plane!
ortega24024 2 months ago
@odinheim (As ever) gr8 to hear from you (both here and on the phone... sure: DO come and visit - it would do wonders for all of us: arrangements needn't be complicated). As for integral sin(tan x)... that is surely impossible in "closed form", and I don't know what language that blurb with the "%29£ is!
ortega24024 2 months ago
You sir, are awesome! I just know that if you divide anything by zero all hell breaks loose!
DLSings 2 months ago
Hello Tim I just encounter once again a very difficult integral with some crazy results here is solve integral sin(tanx)). i=solve+integral+sin%28tanx%29%29
odinheim 3 months ago
RHYBUDD LLYFRAU HWYR!
SaulHirschberger 5 months ago
... [I will carry on typing this tomorrow - unlike many of you revolting spammers, trollers, spam-bots, tarts, slaves, junkies, pigs (and religious-nuts or 2012-nuts): yes (ahem) unlike all them tossers, I am human and have other things to do] !!!
ortega24024 9 months ago
This has been flagged as spam show
@ortega24024 What!? You are human? O.O
raydredX 4 months ago
... through that he got into gambling... leading to probability theory... leading to a glittering career in mathematics. When he met me he asked what I was studying (other than the fine plate of food I was relishing). When I answered "Random Matrix Theory...and the possibly similar behaviour of their eigenvalues and the zeros of the Riemann zeta function" (because Martin Huxley had sent me to Oberwolfach to learn of such things)... he was in a position to reveal himself as quite clued-up...
ortega24024 9 months ago
... I met Persi Diaconis in 2001 and 2002. Quite a character. He got sick of school (and who know's what else) at an early age (AS I DID - AS MANY SANE PEOPLE DO - AS MANY DECENT KIDS DO...Y'KNOW: THE 1s WHO FIGURE THEY HAVE BETTER THINGS TO DO WITH THEIR LIFE THAN FIGHT, WANK, BOAST, LEARN ABOUT DISGUSTING HISTORY AND MYTHS, BE A SLAVE TO VIOLENT HYPOCRITICAL TOSSERS LIKE THEIR PEERS AND RUDE TEACHERS)... so ran off to the circus (like Nellie the Elephant!)...
ortega24024 9 months ago
ARE WE ALLOWED TO GO BACK TO THE MATHS NOW?! YES WE ARE, DAMMIT: I BUILT THIS PLACE (this corner of cyberspace)... I MAKE THE RULES HERE (AND ENFORCE THEM): If you only had the slightest idea how much more maths (and juggling... and other stuff) I have been working on (watch this space)! SO (1 last time): If you're a 2012-nut then SORT YOURSELF OUT or just piss off and die quietly (without dragging anyone else down)...
ortega24024 9 months ago
... so if you're on some kind of mission to attack me (or the innocent, sane and beautiful world of maths) THEN JUST PISS OFF AND DIE: I don't give 2 shits if you're a mofo like a lawyer, marine, Jew, Muslim, professor, bank manager (MURDERING SOUL-LESS TWATS - ALL OF THEM), IT-nut...whatever: I don't care how pretty your tits are... if you intefere with innocence, good work, peace, love... THEN TO HELL WITH YOU AND YOUR SHITTY GOD!
ortega24024 9 months ago
This is MY video. This is MY corner of cyberspace. If you don't like the Prime Number Theorem THEN DON'T COME HERE (OR ELSE). I don't always like it myself... THERE ARE OTHER THINGS IN LIFE (and on my channel)... so I only visit here sometimes myself...
ortega24024 9 months ago
... there are (often tragic) examples EVERY DAY (has been since time immemorial). Indeed we endured the revolting frenzy of YET ANOTHER "rapture"-prediction (or should we say ATTEMPT) just this last weekend !!! These lunatics just won't stop attempting to beat their own DAMN STUPID book (which says "if someone tells you they know when the hour of reckoning is... THEN DON'T BELIEVE THEM).
ortega24024 9 months ago
I sent Ali Adams (pureprimes) a long "let's get a grip and not let 2012-nutterdom get to us" type message (along with "I will send you a friend request on 1st Jan 2013"). BTW HE POSTED THE SAME NONSENSE ON SOME OF THE OTHER MAIN truly pure PRIME-RELATED YOUTUBE VIDS. I also tried posting another comment here (but the crappy computer crashed at the crucial moment)...so this is take II: ALL PROPHECY IS MADNESS - AND POTENTIALLY SELF-FULFILLING...
ortega24024 9 months ago
BASTARDOS! The malicious infants forever pissing around with the web (i.e. M'soft, google, youtube...) have screwed up my browser enough to make it impossible for me to delete the comment from the 2012-babbling nutter (pureprimes).
ortega24024 9 months ago
Prime Numbers in the Quran point to 31 events to hit Earth Jan-Nov 2012 each lasting 4 days and sweeping the Globe 4 times along 31 latitudes.
Most places of worship will become safe havens so we may finally realize that we all worship the same ONE GOD regardless of religious flavor.
Read the evidence at heliwave.com.
Validate it and spread it now, not when its too late.
Be a guiding light!
Ali Adams
God > infinity
heliwave.com
pureprimes 9 months ago
FOR PART 2 CLICK AND PAUSE AT 5:24 (not yet extracted and edited into whacky vid -to keep the musos off my back - mainly because of malfunctioning computers, housing market and people around me...see earlier comments!).
ortega24024 11 months ago
...until she kind of says "er, Tim - have you noticed another decade (and a few more petty WWIII attempts, hokey Random House publishing...and Maiden tours) have passed?" ...or whatever ("no. of course not. what kind of nut do you nuts take me for?! (rhetoric ?) - and I leave such inane considerations to the fools with uniforms, collars, guns or money"!!)
ortega24024 11 months ago
@nicodougy ... e.g. .Chris Hughes (who I met at the Germany conference in Y2K) got his PhD in 1 year...SO WHAT? As soon as you start mulling over what diagonalisations of random matrices may tell you about $zeta'(s)$ you forget all about how pretty Nina is (or whatever)....wouldn't even care if you hadn't eaten or slept for a week....
ortega24024 11 months ago
@nicodougy ... PS you'll find refs to Lauren elsewhere (e.g. 1 of the Mandelbrot zoom vid descrips -she is now also English Fellrunning Champion)...she signed up for PhD under Roger Penrose in about '97... STILL not got it...BUT THAT DOESN'T MATTER COS IN THE real WORLD OF RESEARCH Roger and Martin (and the other few good guys) COULN''T CARE LESS ABOUT ACCOLADES AND TITLES (unless failure of recognition of their work threatens their livelihood)...
ortega24024 11 months ago
. the TRUTH: I give the good people what THEY want (not what I want or what I THINK they want)...and I was WAITING for another PNTptII request!!!... PS IT'S THERE ALREADY (minus the superficial editing and music etc etc): just click and pause on 5:18 or something... I say "or something" because after I got your message I watched PNTptI again to find where the frame was...but then Lauren turned up again (disrupting use of my vid computer-browser no good 4 it)....
ortega24024 11 months ago
@nicodougy ...I NEARLY managed to tear myself away from inane financial/slavery pressures (actually the weather was splendid also...so for health (and gr8er good) I bathed in the Sol-beams... and met random maths/juggling people (and sheep) to babble to)... tear myself away long enough to FINALLY upload 50 vids (incl PNT pt II) I've been editing, I mean...
ortega24024 11 months ago
@nicodougy: Cheers for (motivating and) digesting my latest diatribe... I left the best of it in your inbox for your eyes only (for now). I yearn for a world of total peace and honesty (how could a mathematician want otherwise?)...hence (what with everything being backwards because nearly everyone else HATES peace and truth) sometimes have to fight tooth and nail to be not taken for the diametric opposite to that (ooh - and I need a little fun 2 sometimes)! ...
ortega24024 11 months ago
...thanks to a pretty good book that kind of harvest all important stuffs around Zeta. From my modest knowledge, I am still conviced that all this is related to symmetry (I am not just talking about the Riemann formula), some hidden symmetry that needs to be found and I think, if it's done one day, the proof has more chance to be algebraic than coming from pure complex analysis. Almost all in nature is symmetry and defintely there is a complex kind of symmetry in the primes... cheers
nicodougy 11 months ago
Actually I already watched the other video!...quite nice. Another good video posted on Youtube is called something like "Zeta function- the elegant dance..." and you realize the complex mixing between order and chao in the behavior of the Zeta (there is a order somehow right...at least that is the hypothesis and Bernard!)...Myself I am actually a physicist but I always got some kind of obsession with primes. Few months ago I started to study a bit of the Riemann paper and other stuffs on Zeta.
nicodougy 11 months ago
...and working VERY hard (under the worst pressure ever in these last few months...there WILL be a reckoning (and compensation) because of the murderous insanity and abuse piled on from the bastards that are making a mockery of the law, academic system and computer industry (not least: police and fruitcake bubble-world "academics"). We've ALL been under this pressure -so naturally (what with kettlers and bank managers STILL being left alive) I've had quite a few friend's deaths with recently.
ortega24024 11 months ago
(like most of my questions it is rhetorical because I've answered it 1000 times before -incidentally I DO suggest you watch my "Scrolling graph of Riemann-Siegel Z(t)" video- ...and am working out how to get PAID for having to do that))... [time for a much-needed break...I've already just spent more time bashing in comments (in glee at receiving nicodougy's comment) than it would to upload Part 2...but I HAVE THE RIGHT (AND NEED) TO WORK TO MY OWN SCHEDULE...
ortega24024 11 months ago
...(mundane enough to actually get published in some obscure journal maybe...rather than in a more open an honest medium like youtube (well it IS "honest" provided you are willing to go through the agony of warding off all the cranks... and worse: the defensive false-crank-labellers (why do you think I bunged in a few seconds of Metallica's "Unforgiven"?!....
ortega24024 11 months ago
...along with me: I'm the 1 with the tea to my lips at his retirement party, and I'm fairly sure the department was pleased to be rid of him: believe me it's TOUGH me having to put up with him now... but we keep the peace effortlessly when unpressured [by nutcase bullies like police, relatives, rock kids (esp the single mums), politicians or bankers]: e.g. we've just written a paper on an inequality for the Gamma function...
ortega24024 11 months ago
...although I do admit that I didn't influence him much in his regurtitation of the Selberg-Erd\"os proof he put in at the end (to appease the 'elementary' proof pushers...pushers like ME for example... he's 'just' a nutty burnt-out functional analyst...who (his words) became a 'Hardy-Littlewood-Polya inequality freak). "him" being g.jameson@lancs.ac.uk - you can see him in the mugshots...
ortega24024 11 months ago
As for the 'elementary' proofs, it is really a matter of playing with words as to how you label things!
With all due respect, I read such proofs as long ago as 1993 (and contributed
an awful lot to the book ("The prime number theorem" -C.U.P.) that my father
(rather exasperatingly) was inspired to write, when I started studying this stuff...
ortega24024 11 months ago
@nicodougy (I am posting this as a new comment since as ever the fools have decided to change the way youtube is functioning -so I can't see how to 'respond' to yout comment). Thankyou for the most sensible comment on this video (or any of my other videos) for some time now! Yes of course I mean $\pi(x)\ln x/x\to 1$ (and that is what it says)...
ortega24024 11 months ago
I guess you mean pi(x)ln(x)/x tends to one (in your comment on part2). When is Part2 coming by the way? There are also others relatively short proofs of the PNT using only number theory (no complex analysis needed). And to RobertMOdell,l I would just say, that this is simply called a "passion" and you don't choose a passion, it just takes you, with everthing it implies. But men definitely need passion! As Hegel said: Nothing big in this world has been made without passion...isn't it?
nicodougy 11 months ago
If you're looking for a revolutionary new way to visualize the geometry aligning the distribution of prime numbers (and especially the twin primes), check out (google) the Croft Spiral Sieve.
spiritfulness 1 year ago
@spiritfulness Cheers dude, I'll check it out when I can spare the time...
ortega24024 1 year ago
I can't help but to ask this question. In the end, one day you will reach the end of your natural life. Can you explain to me what it is that has led you to devote so much of your precious little time here on Earth into the study of patterns in numbers? Looking back on life, realizing all the alternative pursuits that you forfeited in order to take on this topic, how do you avoid regrets? Is it that you enjoyed this particular ride enough, and hence are satisfied? If not, then what is it?
RobertMOdell 1 year ago
@RobertMOdell I have been trying to explain the answer to that question to people for about 15 years. Very usually when people ask it they just don't want to know the answer (the bullying is relentless, but so am I so they never win...unless they also get a life). You sound a lot more genuine than the bullies, so I clicked "like" on your question! Last couple of years been especially difficult, and youtube has provided a crucial escape mechanism (e.g. through youtube I got to go to Norway).
ortega24024 1 year ago
@ortega24024 I have been forced to tear myself to shreds over and over in attempting to answer the question to myself I suppose (but enough is enough). That is not least because of the way that this sick society abuses and misuses science. There is a greater good and many a time I have had to sacrifice my mathematical pursuits for that (the authorities HATE it when people show that level of sacrifice). Books like "Godel, Escher, Bach" show how wrong that kind of introspection can go.
ortega24024 1 year ago
@ortega24024 Maths is just one aspect of my life. It is SO important to find a balance (and SO difficult when all that is sacred to many is the one square mile, i.e. that den of insane rampaging liars: the City of London). Try looking at my other 82 (and counting) videos...and the detailed descriptions/comments to witness me attempting to answer you curiosity.
ortega24024 1 year ago
@ortega24024 If the money-obsessed beurgois selfish bastards (my dad doing a good impression of them right now) would just leave me alone (except when they want to get on with clean decent things) then it would have all read much better ages ago. In fact... try the vid I'm about to upload right now...
ortega24024 1 year ago
@ortega24024 No bullying here. My question was genuine. There are many different ways to look at one's own life pursuits. I know that well from my own life. I was just wondering if you would be willing to share a little on this topic. No pressure. I too have encountered difficult roads in life. What better calalyst is there to get one reflecting on life's meanings? Glad you liked my question and hope to hear more...
RobertMOdell 1 year ago
@ortega24024, I really appreciate your video.
Could you please make a series of videos to demonstrate how you derived all the functions / formulas shown in this video, in a step by step manner, where even a laymen with average math knowledge can follow.
Most experts find difficult to explain matters without assuming and jumping steps.
Hope you take my request as a challenge in a professional capacity and with good faith.
You do a great service. Thanks in Advance.
fonsidream 1 year ago 4
@fonsidream Certainly. I am actually hard at work on much more maths (for youtube, books, websites, journals... all sorts). That includes working on exactly the kind of expansion you are asking for... so instead of just sitting here boldly nattering on about what is to come, I better just go and get vid editing pronto...!!
In the meantime, you could do worse than get yourself a copy of the book I helped my dad write all those years ago (The Prime Number Theorem - Cambridge University Press).
ortega24024 1 year ago
by inspection, we can see the riemann hypothesis is also true :p
dson144 1 year ago
I couldn't help but be annoying and notice an report some (really minor) mistakes:
missed two )'s at 2:11, line 1 and 4
It's great what you're doing, keep up the good work
sikory 1 year ago
@sikory You are not being annoying at all. I thankyou greatly for your corrections. I made the video in the space of one day (and the earlier maths vids in the space of hours). Rest assured I am working hard on some much more thought out vids which will appear eventually. Maths is meant to be crystal clear and 100% correct. I was horrified when I realised how littered with mistakes (and worse) the journals and books are. I have spent much time in total correcting errors...
ortega24024 1 year ago
@ortega24024 ...often for no reward (or worse... not least because one sometimes comes up again misplaced academic pride). Corrections are vital. Without them what we are doing would be nonsense, not maths. So what YOU are doing is great (keep up the good work). Well this is the 1st time I've found time to get on youtube for about 3 weeks: I am on cloud 9 in Austria, having survived homelessness in Brixton to get here (if you want security don't JUST do maths), hardcore mountaineering...
ortega24024 1 year ago
@ortega24024 ...and (MUCH harder) managed not to go COMPLETELY insane because of having to stand up to my brutal and neurotic parents (see description to "Sick of it all...". I've just broke free from them again so am in nirvana in an Austrian relative's house so have a few days to chill before getting back to England and sorting out those vids). Your comment is just the kind of thing I need to bring me back to "reality",
ortega24024 1 year ago
@ortega24024 still, parentheses at the end of a line aren't really necessary... it's implied by ending the line i guess. Although that's just me trying to be a not so rigorous mathematician/physicist in training (I guess that will make me nervous for any exam in analysis, but that's another story)
sikory 1 year ago
Use the Pause, Luke.
danrayson 1 year ago
fuck that song is annoying
MrTrinidaddy1 1 year ago
@MrTrinidaddy1 Sorry I think I accidentally clicked the thing that said your criticism of the music was "spam" (was only trying to vote it down -ha!). Each to their own...you can always just turn off the music. Actually all the suspect music and larking around on my youtube is just there to suck people into the proper stuff like maths, computer graphics and chess... and that's working VERY well: e.g. was another of Dougal's songs on another maths vid that led me to a maths trip to Norway!
ortega24024 1 year ago
lol good vid but i could'nt keep up with the reading, maybe its just me
tigerfedor 1 year ago
@tigerfedor Nowt wrong with having a laugh at it all! If you want to try getting it more then just use pause button, watch it over and over again... or use techniques to cut out all the noise in the brain and just focus on it more. It's CERTAINLY not just you, cos it's the same with everyone (even the very top people I've met): it takes TIME to get these things (I was bottom of the class at maths at school once).
ortega24024 1 year ago
I can't watch more than 30 seconds of this without (a) getting behind on reading your parenthetical remarks, and (b) wishing you had fewer parenthetical remarks because they're not helpful.
lelyn1234 1 year ago
@lelyn1234. Certainly a fair comment. It's impossible to please everyone. As it says at the beginning, the whole thing just fills up 1 page in my notes. More often people moan to me that there's not enough such remarks, and what I think is deeply ridiculous is that typically this kind of material takes up MUCH more space in books that make it seem MUCH more complicated than it is.
ortega24024 1 year ago
I'm pleased you don't need additional remarks: Just ignore them then - or use your pause button if something's coming too fast.
ortega24024 1 year ago
Is that the same robin chapman of exeter uni? If so any link to a video of his mastermind performance?
Mangosuxcok 1 year ago
Yes that's the Robin Chapman I mean, Mangosuxcok (honestly - why defile yourself with such a name?!). Back in '96 I was at an Exeter Uni open as a prospective student (but I ended up at Cardiff under Harman, then Huxley). I found myself summoned to his office (maybe he thought I was someone else) for what turned into a lecture on elliptic curves and modular forms (we were still excited about proof of FLT). Met him again at B(A)MC '02.
ortega24024 1 year ago
... We swap thoughts sometimes (in fact I e-mailed him today about the factor of the 14th Fermat number that has been discovered). He reckons I'm destined to write "the best ever textbook on analytic number theory" (we'll see, we'll see...in the meantime I am forced to do more mundane things to pay the bills and impresse the chicks -e.g. off to Oslo soon to give maths tuition to a guy I got chatting with after he watched my "Perturbed cubic Gauss sums" video).
ortega24024 1 year ago
Robin is always entering (and often winning) competitions. Last time he got back to me he attached a link demonstrating he'd won the Private Eye crossword. He was the man to talk to about proofs of zeta(2)=pi^2/6 because he used to maintain a website collecting them -but I didn't submit the "real" proof I came up with (the 1st shown in the vid) because I worked out it was essentially the same as one by Nick Lord in the Maths Gaz.
Now let's see if we can find that Mastermind show on youtube...
ortega24024 1 year ago
I've solved and proved the Riemann hypothesis, i will have it on utube within months, right now trying to have it published via major news papers(beacuse it is instanly recognized), also i have sent 100s of emails but no reply...
sunkhirous 2 years ago
They all laughed at Christopher Columbus...who's got the last laugh now. The academic community can seem brutal sometimes. I give anyone the benefit of the doubt and look forward to examining your work.
ortega24024 2 years ago
@ortega24024 I have first page of what I had sent to arxiv you can see it on utube (euler zeta )
sunkhirous 1 year ago
so whats the relationship between all primes
michaelw2711 2 years ago
Trying to prove any kind of "relationships" between different primes seems to be pretty much impossible given our present knowledge.
All we are aiming for here is the fact that there's about x/ln x of them up to x. More accurate versions of the PNT are discussed in my annotations to my video "Scrolling graph..."
The unproved "Cramer model" suggests that statistically primes behave much like random sequences of numbers you'd get by including a number n in a sequence with probability 1/ln n.
ortega24024 2 years ago
Some of this material is easier to understand in Derbyshire's (sp?) book on the Riemann hypothesis.
I have a minor in math, but can't follow very well what you are presenting. And people better at math than I (many, many people) probably don't need an explanation. I liked the complex graph of the Zeta function, though :)
MichaelJHuman 2 years ago
I've only just got myself of Derbyshire's (sp OK) "Prime obsession" book (I thought I better know what's out there already if I'm gonna play maths populiser).
Neat book, I think. But books like that are largely presenting interesting stories - MUCH more information than is required to prove PNT. Partially they are pop-sci books trying to generate interest amongst people who haven't got the inclination to learn how things really work...
ortega24024 2 years ago
...Sabbagh's book ("Dr Riemann's zeros")even has an appendix outlining some of de Brange's work (one of the guys on the mountain photo I cheekily included) - SO much harder to follow than PNT!
"The music of the primes" by Marcus du Sautoy is more accurate than Sabbagh when describing technicalities.
But many books containing proofs of PNT make it look too hard.
Anyway, cheers for the feedback. The plot of the zeta function is a taste of animated vids to follow. I'll upload part 2 soon.
ortega24024 2 years ago
Oh that's not good: WMG have a copyright issue with it, resulting in ads obscuring some of the vital stuff. Maybe it was the Napster-hating Metallica (song aborted on sound track anyway). I might do a more acceptable version of it tomorrow...
ortega24024 2 years ago
I had to 'x' the ad. I haven't read the proof in detail, but good work on the video.
singingbanana 2 years ago 3
@singingbanana ...oh maybe that's OK, cos if people are kept busy clicking 'x' it'll stop them from falling asleep (I'm an eternal optimist so always find a bright side). Cheers for stopping by again, bananaman. If you digest it fully then you'll see there's not much to it really (I made Nick understand it once).
ortega24024 2 years ago