tag:blogger.com,1999:blog-4807238897188927967.post6440380303340631583..comments2024-03-28T13:35:30.500+00:00Comments on TPQ: Chebyshev Polynomials For Financial DataAMhttp://www.blogger.com/profile/00559413440743290550noreply@blogger.comBlogger31125tag:blogger.com,1999:blog-4807238897188927967.post-22864272080614614672015-05-27T21:45:06.953+01:002015-05-27T21:45:06.953+01:00Micheal Craig, thankyou I never knew that. A very ...Micheal Craig, thankyou I never knew that. A very productive comments section here.<br />With regards to socialism, its like talking religion with AM, my eyes glaze over and I need to check my underwear for accidents.DaithiDhttps://www.blogger.com/profile/14284602981682993841noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-4918149143255351442015-05-27T21:18:41.354+01:002015-05-27T21:18:41.354+01:00I agree with your comments about Lenin's part ...I agree with your comments about Lenin's part in the failure, and revolutionaries who still hold onto 'democratic centralism' will continue to fail.<br /><br /> Mike Craighttps://www.blogger.com/profile/01660761750411785160noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-90376456394908148312015-05-27T21:01:54.180+01:002015-05-27T21:01:54.180+01:00Which will not cure the healthy scepticism towards...Which will not cure the healthy scepticism towards socialism when given the opportunities it has had it never managed to exist. I doubt we can blame Stalin alone. Lenin was as much a centralist dictator as Stalin. Once he said that it was dictatorship over the proletariat rather than a dictatorship of the proletariat (and in classic Marxism the dictatorship of the proletariat is indivisible from AMhttps://www.blogger.com/profile/00559413440743290550noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-54834659428173184892015-05-27T20:49:59.695+01:002015-05-27T20:49:59.695+01:00There are many reasons why socialism didn't wo...There are many reasons why socialism didn't work in the USSR. It never reached what Marx defined as socialism because the ideology got lost in the deformation. Yes there was planning, but as you say it created tiers and everything was from the top down. It suited Stalin to call his system socialism and it also suited the west as it could point out to workers that 'democracy' allowed Mike Craighttps://www.blogger.com/profile/01660761750411785160noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-88745350968702363902015-05-27T20:24:33.529+01:002015-05-27T20:24:33.529+01:00Michael,
I prefer neither. Each system creates th...Michael,<br /><br />I prefer neither. Each system creates three types - those at the bottom, the middle and the top. When socialism had its chance to usurp the power grab it replaced it with one of its own. The Market is an ideological fallacy that has never worked for the bulk of people. Yet people might find it difficult to act upon Marx's warning of socialism or barbarism when they have AMhttps://www.blogger.com/profile/00559413440743290550noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-69634294377156948872015-05-27T19:46:49.061+01:002015-05-27T19:46:49.061+01:00Anthony, I totally agree - one of the reasons why ...Anthony, I totally agree - one of the reasons why I don't belong to a Marxist party, but given the choice between Laissez-faire capitalism and central planning I'd have to choose the latter.<br /><br />Daithi said, 'having profit motives is good way of allocating resources'. Well of course it isn't, and this is proven by the vast inequality in incomes today where about 70 of Mike Craighttps://www.blogger.com/profile/01660761750411785160noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-35851773777634829942015-05-27T19:23:37.882+01:002015-05-27T19:23:37.882+01:00Michael,
central planning might have greater appe...Michael,<br /><br />central planning might have greater appeal if we could find some way of dispensing with the central planner. He will defeat the purpose of central planning. Socialism has not yet come up with a workable method of having one without the other. AMhttps://www.blogger.com/profile/00559413440743290550noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-71863498227399427572015-05-27T18:48:06.290+01:002015-05-27T18:48:06.290+01:00Daithi,
Definitely not for the obvious reason but ...Daithi,<br />Definitely not for the obvious reason but I did get a laugh thinking about it. <br />It is simply a word play on Pi (say, the first 100 digits) assigning an equal word value to the corresponding listing of Pi. It depends on memory and that varies mine being not so sharp.<br /><br /> I have a notebook I use occasionally and with a pencil jot down words picking up at the last number. Tain Bohttps://www.blogger.com/profile/09441592658332493965noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-72715840535778597202015-05-27T18:25:11.517+01:002015-05-27T18:25:11.517+01:00'what part of the loudspeaker?', The enclo...'what part of the loudspeaker?', The enclosure.<br />Ported enclosures use Chebyshev filters to control the pass-band of frequencies emitting from the loudspeaker box. Just an observation that your curves resemble those of the filters, - I'm not a mathematician'<br /><br />Financial data is used by those who invest in activity. Their only motivation in doing this is to get a Mike Craighttps://www.blogger.com/profile/01660761750411785160noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-71648430811955392972015-05-27T12:06:18.393+01:002015-05-27T12:06:18.393+01:00Micheal Craig,
What part of a loudspeaker? Sound w...Micheal Craig,<br />What part of a loudspeaker? Sound waves would be just superpositions of Sine/Cosine waves, so quite different to this. Additionally there is no “profit” factored into any of the equations. But even if there was,if you start from a point of individual liberty, having profit motives is good way of allocating resources without the need for central planning, things organise DaithiDhttps://www.blogger.com/profile/03154264514142897745noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-25814410430136198922015-05-27T00:34:08.592+01:002015-05-27T00:34:08.592+01:00Looks like the design data for a loudspeaker. Why ...Looks like the design data for a loudspeaker. Why go to all this trouble in economics - just remove the profit motive, it would simplify the equation.Mike Craighttps://www.blogger.com/profile/01660761750411785160noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-4202033770623058432015-05-26T22:17:13.654+01:002015-05-26T22:17:13.654+01:00DaithiD,
who knows, who cares? He is over with th...DaithiD,<br /><br />who knows, who cares? He is over with the bonkers crew now. John Gidman's Ghost effectively finished him off. After that we lost interest.AMhttps://www.blogger.com/profile/00559413440743290550noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-67821268555492100752015-05-26T21:57:07.495+01:002015-05-26T21:57:07.495+01:00AM, thats the one!
Its a similar connundrum you a...AM, thats the one! <br />Its a similar connundrum you are faced with on this site, where the unlimited free expression of one can impinge on all the others. Wonder what number of comments Che will get to Bates/Wilkes before he realises he needs to find another open mic night?DaithiDhttps://www.blogger.com/profile/03154264514142897745noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-18431526540688364272015-05-26T21:39:50.229+01:002015-05-26T21:39:50.229+01:00DaithiD,
that poem a million was brilliant - I st...DaithiD,<br /><br />that poem a million was brilliant - I still refer to it when winding people up if they go on too long. Dom Jolly - after 200 they started to realise what was going on!!AMhttps://www.blogger.com/profile/00559413440743290550noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-1484475532157418972015-05-26T21:19:12.633+01:002015-05-26T21:19:12.633+01:00Tain, Do you mean literally reading out the Pi as ...Tain, Do you mean literally reading out the Pi as a poem? That sounds like an old Trigger Happy Tv sketch where he destroyed an open mic poetry by just reading out numbers. Truly mind numbing.<br />Yup its another thing that humbles human minds, we cant relate the circumference of a circle to it diameter, we can only approximate with a symbol. Could get quite spiritual on this topic, about God DaithiDhttps://www.blogger.com/profile/03154264514142897745noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-18761153609693127692015-05-26T20:39:58.102+01:002015-05-26T20:39:58.102+01:00Daithi,
I laughed thinking Donncha would reply it...Daithi,<br />I laughed thinking Donncha would reply <i><b> it is as easy as π </b></i> though reading other articles it appears that cake is more complicated than Pi.<br /><br />Math language for the better part is foreign a clash between alphanumeric and alphabetical order.<br /><br />If I say <b>π</b> reads like an odd symbol = C over d the non-math reader would say it does not make any sense Tain Bohttps://www.blogger.com/profile/09441592658332493965noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-73720611807802852622015-05-26T20:31:28.492+01:002015-05-26T20:31:28.492+01:00Alfie,
all the very best on your exams and thanks...Alfie,<br /><br />all the very best on your exams and thanks for the input on this oneTain Bohttps://www.blogger.com/profile/09441592658332493965noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-65559625600142227512015-05-25T20:37:39.709+01:002015-05-25T20:37:39.709+01:00DaithiD: I'm sure you're correct re MacLau...DaithiD: I'm sure you're correct re MacLaurin-Taylor series. It's a long time since I've dome much serious maths.<br /><br />Simon Singh's book on Fermat is well worth reading.<br /><br />Herding behaviour (like in sheep!) sounds about right. The dogs circle round and the sheep's response to the possible predators is to bunch together. Once they're in a bunch they can Glen Shane-Passhttps://www.blogger.com/profile/01510446688022483301noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-56873711104342270992015-05-24T20:01:35.149+01:002015-05-24T20:01:35.149+01:00PS Alfie, best of wishes for your exam.PS Alfie, best of wishes for your exam.DaithiDhttps://www.blogger.com/profile/03154264514142897745noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-71479319544628294412015-05-24T20:00:21.576+01:002015-05-24T20:00:21.576+01:00Thanks Alfie,
Its hard to know what level to pitch...Thanks Alfie,<br />Its hard to know what level to pitch it so it has fluency but is fully detailed. I appreciate your comment helps readers gain a further basis for understanding. Polynomials are not my area of expertise, as far as i can tell they are not suitable for trading system design as they have 'curve fitting' bias, and so lose any predictive quality for unseen data sets. Please DaithiDhttps://www.blogger.com/profile/03154264514142897745noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-38318174953260667132015-05-24T15:29:03.610+01:002015-05-24T15:29:03.610+01:00Anthony,
Here is a really good explanation of wha...Anthony,<br /><br /><a href="https://www.mathsisfun.com/sets/function.html" rel="nofollow">Here is a really good explanation of what a function is.</a> Once you understand functions, you will be able to understand the concept of interpolation -- that is, finding and using a simpler, more manageable function (in Daithi's case, a Chebyshev polynomial) that is a sufficiently accurate Alfie Gallagherhttps://www.blogger.com/profile/16403732604779381173noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-87625618812072800562015-05-24T15:04:52.008+01:002015-05-24T15:04:52.008+01:00PS. If you are feeling even more adventurous, Dait...PS. If you are feeling even more adventurous, Daithi, you might consider putting together a layman's guide to some of the mathematical ideas you have used in your article -- namely, the concept of a function and the practical purpose of interpolation. That may help those who have no experience with such concepts understand your article better.Alfie Gallagherhttps://www.blogger.com/profile/16403732604779381173noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-1724685178609385562015-05-24T15:01:51.395+01:002015-05-24T15:01:51.395+01:00DaithiD,
This is an interesting article. Indeed, ...DaithiD,<br /><br />This is an interesting article. Indeed, it is particularly relevant to me as I am currently revising polynomial interpolation for my upcoming exam in my OU mathematical modelling course. So thank you for helping my revision!<br /><br />I probably won't get a chance to give this piece the close reading it deserves until after I sit my exam early next month, but I hope to Alfie Gallagherhttps://www.blogger.com/profile/16403732604779381173noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-53346397875893495622015-05-24T10:09:54.480+01:002015-05-24T10:09:54.480+01:00Anthony,
'Being cognisant of that intellectua...Anthony,<br /><br />'Being cognisant of that intellectual giant, Donncha MacNiallis's view of The Pensive Quill..'<br /><br />Keep an eye on Twitter, having read this he will probaly be calling for that guy 'Chevy Chase's' house to be picketed, his polynomials posing a threat to the peace process!<br /><br />Roberthttps://www.blogger.com/profile/10522188005971742857noreply@blogger.comtag:blogger.com,1999:blog-4807238897188927967.post-37520578268134701052015-05-23T16:21:01.847+01:002015-05-23T16:21:01.847+01:00Glen-Shane Pass, thanks for your suggestions, it’s...Glen-Shane Pass, thanks for your suggestions, it’s a while since I did MacLaurin-Taylor series stuff but it thought it was approximating an underlying function i.e. you would need to know the polynomial before implementing it? You would still need to indentify an intial model, which is the trickiest part, unless ive misunderstood your point?<br />I will look into Fermats last theorem stuff.<br />DaithiDhttps://www.blogger.com/profile/14284602981682993841noreply@blogger.com