From: Uncle Al on 17 Feb 2010 20:20 mike3 wrote: > > On Feb 17, 6:05 pm, tadchem <tadc...(a)comcast.net> wrote: > > On Feb 17, 12:38 pm, "2.7182818284590..." <tangent1...(a)gmail.com> > > wrote: > > > > > I noticed that when I plot the numbers on a given row of Pascal's > > > Triangle, the curve generated resembles the Bell Curve. > > > > > However, what distinguishes the Pascal's Triangle to the Normal > > > Gaussian Distribution Curve is this: When I divide the biggest number > > > (which is in the center of Pascal's Triangle) by the SUM of the entire > > > row, this value seems to approach 0 the further down on the pyramid > > > that I go. On the other hand, The Gaussian Distribution has a value > > > of ~0.4 at x=0. > > > > > If the two are related, please explain how. > > > > Google "binomial distribution," "discrete distribution," "continuous > > distribution," "Gaussian distribution," and then the names of all the > > other distributions you stumble across - uniform, geometric, > > multinomial, Poisson, hypergeometric, Pascal, gamma, exponential, > > beta, chi-squared, Student's, and Snedecor's should keep you busy for > > a while. > > > > So all those things are needed to put together the complete theory of > the relationship? The "No Child Left Behind" alphabet has 23 letters - but not consistently the same letters. -- Uncle Al http://www.mazepath.com/uncleal/ (Toxic URL! Unsafe for children and most mammals) http://www.mazepath.com/uncleal/qz4.htm
From: mike3 on 22 Feb 2010 01:09 On Feb 17, 6:20 pm, Uncle Al <Uncle...(a)hate.spam.net> wrote: > mike3 wrote: > > > On Feb 17, 6:05 pm, tadchem <tadc...(a)comcast.net> wrote: > > > On Feb 17, 12:38 pm, "2.7182818284590..." <tangent1...(a)gmail.com> > > > wrote: > > > > > I noticed that when I plot the numbers on a given row of Pascal's > > > > Triangle, the curve generated resembles the Bell Curve. > > > > > However, what distinguishes the Pascal's Triangle to the Normal > > > > Gaussian Distribution Curve is this: When I divide the biggest number > > > > (which is in the center of Pascal's Triangle) by the SUM of the entire > > > > row, this value seems to approach 0 the further down on the pyramid > > > > that I go. On the other hand, The Gaussian Distribution has a value > > > > of ~0.4 at x=0. > > > > > If the two are related, please explain how. > > > > Google "binomial distribution," "discrete distribution," "continuous > > > distribution," "Gaussian distribution," and then the names of all the > > > other distributions you stumble across - uniform, geometric, > > > multinomial, Poisson, hypergeometric, Pascal, gamma, exponential, > > > beta, chi-squared, Student's, and Snedecor's should keep you busy for > > > a while. > > > So all those things are needed to put together the complete theory of > > the relationship? > > The "No Child Left Behind" alphabet has 23 letters - but not > consistently the same letters. > What's the "No Child Left Behind" *Alphabet*?
From: spudnik on 22 Feb 2010 13:09 NCLB/Come the Rapture; won't matter about Babel-on! > What's the "No Child Left Behind" *Alphabet*? thus: vous etes tres pathetique, monsieur Valev. comme-ca, quelle es problematique avec <<dilation doo temps>> -- faites-vous supposez, cette est le meme chose a journe' <<een>> temps? > http://astronomy.ifrance.com/pages/gdes_theories/einstein.html > "Le deuxième test classique donne en revanche des inquiétudes. > Historiquement, pourtant, l'explication de l'avance du périhélie de > Mercure, proposé par Einstein lui-même, donna ses lettres de noblesse > à la relativité générale. Il s'agissait de comprendra pourquoi le > périhélie de Mercure ( le point de son orbite le plus proche du > soleil ) se déplaçait de 574 s d'arc par siècle. Certes, sur ces 574 > s, 531 s'expliquaient par les perturbations gravitationnels dues aux > autres planètes. Mais restait 43 s, le fameux effet "périhélique " > inexpliqué par les lois de Newton. Le calcul relativiste d'Einstein > donna 42,98 s ! L'accord et si parfait qu'il ne laisse la place à > aucune discussion. Or depuis 1966, le soleil est soupçonné ne pas être > rigoureusement sphérique mais légèrement aplati à l'équateur. Une très > légère dissymétries qui suffirait à faire avancer le périhélie de > quelques secondes d'arc. Du coup, la preuve se transformerait en > réfutation puisque les 42,88 s du calcul d'Einstein ne pourrait pas > expliquer le mouvement réel de Mercure." > > http://astronomy.ifrance.com/pages/gdes_theories/einstein.html > "Arthur Eddington , le premier en 1924, calculâtes théoriquement un > décalage 0,007% attendu la surface de Sirius mais avec des données > fausses à l'époque sur la masse et le rayon de l'étoile. L'année > suivante, Walter Adams mesurerait exactement ces 0.007%. Il s'avère > aujourd'hui que ces mesures , qui constituèrent pendant quarante ans > une "preuves" de la relativité, étaient largement "arrangée" tant > était grand le désir de vérifier la théorie d'Enstein. La véritable > valeur fut mesurée en 1965. Elle est de 0.03% car Sirius est plus > petite , et sont champ de gravitation est plus fort que ne le pensait > Eddington." > http://www.cieletespace.fr/evenement/relativit-les-preuves-taient-fau....... > > read more » --les OEuvres! http://wlym.com --Stop Cheeny and Rice's 3rd British Invasion of Sudan! http://larouchepub.com/pr/2010/100204rice-ists_sudan.html
From: Zdislav V. Kovarik on 24 Feb 2010 12:00 On Wed, 17 Feb 2010, Uncle Al wrote: > mike3 wrote: > > > > On Feb 17, 6:05 pm, tadchem <tadc...(a)comcast.net> wrote: > > > On Feb 17, 12:38 pm, "2.7182818284590..." <tangent1...(a)gmail.com> > > > wrote: > > > > > > > I noticed that when I plot the numbers on a given row of Pascal's > > > > Triangle, the curve generated resembles the Bell Curve. > > > > > > > However, what distinguishes the Pascal's Triangle to the Normal > > > > Gaussian Distribution Curve is this: When I divide the biggest number > > > > (which is in the center of Pascal's Triangle) by the SUM of the entire > > > > row, this value seems to approach 0 the further down on the pyramid > > > > that I go. On the other hand, The Gaussian Distribution has a value > > > > of ~0.4 at x=0. > > > > > > > If the two are related, please explain how. > > > > > > Google "binomial distribution," "discrete distribution," "continuous > > > distribution," "Gaussian distribution," and then the names of all the > > > other distributions you stumble across - uniform, geometric, > > > multinomial, Poisson, hypergeometric, Pascal, gamma, exponential, > > > beta, chi-squared, Student's, and Snedecor's should keep you busy for > > > a while. > > > > > > > So all those things are needed to put together the complete theory of > > the relationship? > > The "No Child Left Behind" alphabet has 23 letters - but not > consistently the same letters. > Another number fact: Knowing 21 out of 26 letters of the (English) alphabet represents a score of over 80%, and that gives you a grade of A. Cheers, ZVK(Slavek) > -- > Uncle Al > http://www.mazepath.com/uncleal/ > (Toxic URL! Unsafe for children and most mammals) > http://www.mazepath.com/uncleal/qz4.htm >
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