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Description: Mathematical discussions and pursuits.
 

find trig identities 
  EXAMPLE Solve, e^(inx) = me^(ix) sin(nx)=msinx cos(nx)=mcosx tan(nx)=tanx nx=(x+kpi), k=1,2,3,..., x(n-1)=kpi x=kpi/(n-1) e^(iknpi/(n-1))=me^(ikpi/(n-1) ) e^in = [m^((n-1)/kpi)]e^i e^(i(n-1)) = m^((n-1)/kpi) e^i = m^(1/kpi)=cos(1)+isin(1) m = e^(ikpi)=cos(kpi)+isin(kpi) k=1,2,3,.. m=-1,1,-1,1,.., isin(1)=m^(1/kpi)-cos(1)... more »
By Jon  - Nov 29 - 1 new of 1 message    

Forumula for the Roots to the nth Degree Polynomial 
  FORMULA FOR THE ROOTS TO THE nth DEGREE POLYNOMIAL a[0] + a[1]x + a[2]x^2 + a[3]x^3 + ... + a[n]x^n = 0 x = { (C^( (j-1)/n ))*S }^(1/(n-j)) j=1,2,3,...,n-1 ALL SUMS ARE FROM p=1 to n C = { 1-(a[0]*SUM{a[p]})/(SUM{(a[p]) ^2}) }^(1/n) D = -a[0]/SUM{a[p]*(C^(p-1))} S = { (1/n)*SUM{(D^(2n-2p))*(C^(2p-2 ))} }^(1/2)... more »
By Jon  - Nov 29 - 1 new of 1 message    

Given a pdf and Values of x Can MatLab Produce a Histogram and Simple Statistics (mean, ...)? 
  See Subject. I'm assuming the pdf (probability density function) is given in terms of x versus counts. (0.1, 34), (0.2, 41), (0.3, 18), ...
By W. eWatson  - Nov 29 - 1 new of 1 message    

DTFT versus CFT 
  Assume a bandlimited signal xs(t). If we sample that signal in a way satisfying the Nyquist sampling theorem we end up with a discrete sequence xd[n] = xs(n*T), with T being the sampling period. Assume the DTFT of xd[n] is Xd(w), with w being the normalized frequency. Then the CFT of the original signal xs(t) is T * Xd(w*T).... more »
By pinkisntwell  - Nov 29 - 2 new of 2 messages    

Prime gaps 
  If one forms the raito p/q of all primes p and q is there anything know about the distribution? I plotted a histogram and there is regular gaps between clusters and an obvious enevlope.
By Jon Slaughter  - Nov 29 - 5 new of 5 messages    

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  ❤~❤~❤ 2009 Discount BBC Coat, ED Hardy Coat, Bape Man Coat ect at [link] <Paypal Payment> Discount Coat [link] Discount 999 Coat [link] Discount A Coat [link] Discount Adidas Coat... more »
By www.fjrjtrade.com  - Nov 29 - 2 new of 2 messages    

A formula for a sum 
  Let n be a positive integer. I need to write F(i,j,n)= -2(j-i)^n + (i-1) sum_{k=0}^{n-1} (j-i)^k (j-i+1)^{n-1-k} in terms of x_1=(i-1), x_2=(i-1)(i-2),...., x_n=(i-1)(i-2)...(i-n). For n=1: F= 3(i-1)-2(j-1) = 3x_1 - 2(j-1) n=2: F= -4x_2 + (6j-9)x_1 - 2(j-1)^2 n=3: F= 5x_3 - 12(j-2)x_2 + 3(3j^2-9j+7)x_1 - 2(j-1)^3.... more »
By TCL  - Nov 29 - 2 new of 2 messages    

Scientists agree on this 
  Every probabilistic problem from orthodox mathematics can be reworded and solved by discarding the random variable and replacing it with considerations based on existential indeterminacy and of course conservation. One can compose existent magnitudes with nonexistent magnitudes to obtain existentially indeterminate magnitudes.... more »
By Huang  - Nov 29 - 6 new of 6 messages    

US Thanksgiving on 11/25 future 
  I have a relative born on 11/25. Next year 11/25 will be Thanksgiving. What are the future dates 11/25 up to the year 2102? Tim
By Tim923  - Nov 29 - 1 new of 1 message    

simple function approximation 
  Assuming it is predicted that when two players compete in a best-of-5 match, the weaker competitor has a probability p of winning the match. The probability of the weaker player winning a best-of-1 match is the solution of x^5 + 5*x^4*(1-x) + 10*x^3*(1-x)^2 = p ; or, more simply, 6*x^5 - 15*x^4 + 10*x^3 - p = 0... more »
By Phil Carmody  - Nov 29 - 11 new of 11 messages    

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