Advanced Search

tsunamiBTP

292 Reputation

9 Badges

16 years, 304 days
Contact tsunamiBTP

MaplePrimes Activity


These are questions asked by tsunamiBTP

Inexplicable FALSE return...

tsunamiBTP 292 Maple 12
false
September 16 2014
2 2


Q[1] := (e^(-n*T*s)-e^(-(n+1)*T*s)+(-exp(-Z[1]*n*T)*(s-Z[1])*exp(-n*T*(s-Z[1]))+exp(-Z[2]*n*T)*(s-Z[2])*exp(-n*T*(s-Z[2])))/(Z[1]-Z[2])+2*exp(-n*T*s)*(-1+Heaviside(-n*T)))/c+Z[1]*Z[2]*exp(-n*T*(s-Z[1]))/((s-Z[1])*exp(Z[1]*n*T)*(Z[1]-Z[2])*c)-Z[2]*Z[1]*exp(-n*T*(s-Z[2]))/((s-Z[2])*exp(Z[2]*n*T)*(Z[1]-Z[2])*c); 1; Q[2] := ((s-Z[1])*exp(-n*T*(s-Z[1]))*exp(-Z[1]*n*T)/(Z[2]-Z[1])+exp(-n*T*s)*(-1+Heaviside(-n*T)))/c+Z[1]*Z[2]*exp(-n*T*(s-Z[1]))/((s-Z[1])*exp(Z[1]*n*T)*(Z[1]-Z[2])*c)+(exp(-Z[2]*n*T)*(s-Z[2])*exp(-n*T*(s-Z[2]))/(Z[1]-Z[2])+exp(-n*T*s)*(-1+Heaviside(-n*T)))/c-Z[2]*Z[1]*exp(-n*T*(s-Z[2]))/((s-Z[2])*exp(Z[2]*n*T)*(Z[1]-Z[2])*c)+(e^(-n*T*s)-e^(-(n+1)*T*s))/c

((s-Z[1])*exp(-n*T*(s-Z[1]))*exp(-Z[1]*n*T)/(Z[2]-Z[1])+exp(-n*T*s)*(-1+Heaviside(-n*T)))/c+Z[1]*Z[2]*exp(-n*T*(s-Z[1]))/((s-Z[1])*exp(Z[1]*n*T)*(Z[1]-Z[2])*c)+(exp(-Z[2]*n*T)*(s-Z[2])*exp(-n*T*(s-Z[2]))/(Z[1]-Z[2])+exp(-n*T*s)*(-1+Heaviside(-n*T)))/c-Z[2]*Z[1]*exp(-n*T*(s-Z[2]))/((s-Z[2])*exp(Z[2]*n*T)*(Z[1]-Z[2])*c)+(e^(-n*T*s)-e^(-(n+1)*T*s))/c

 (1)

Q[1] = Q[2]"(->)"true"(->)"true"(->)"true"(->)"true

Q[2] = ((s-Z[1])*exp(-n*T*(s-Z[1]))*exp(-Z[1]*n*T)/(Z[2]-Z[1])+exp(-n*T*s)*(-1+Heaviside(-n*T)))/c+Z[1]*Z[2]*exp(-n*T*s)/((s-Z[1])*(Z[1]-Z[2])*c)+(exp(-Z[2]*n*T)*(s-Z[2])*exp(-n*T*(s-Z[2]))/(Z[1]-Z[2])+exp(-n*T*s)*(-1+Heaviside(-n*T)))/c-Z[2]*Z[1]*exp(-n*T*s)/((s-Z[2])*(Z[1]-Z[2])*c)+(e^(-n*T*s)-e^(-T*s)*e^(-n*T*s))/c
"(->)"true
Q[2] = ((s-Z[1])*exp(-n*T*(s-Z[1]))*exp(-Z[1]*n*T)/(Z[2]-Z[1])+exp(-n*T*s)*(-1+Heaviside(-n*T)))/c+(exp(-Z[2]*n*T)*(s-Z[2])*exp(-n*T*(s-Z[2]))/(Z[1]-Z[2])+exp(-n*T*s)*(-1+Heaviside(-n*T)))/c+Z[1]*Z[2]*exp(-n*T*s)/((s-Z[1])*(Z[1]-Z[2])*c)-Z[2]*Z[1]*exp(-n*T*s)/((s-Z[2])*(Z[1]-Z[2])*c)+(e^(-n*T*s)-e^(-T*s)*e^(-n*T*s))/c
"(->)"true"(->)"true``

((s-Z[1])*exp(-n*T*(s-Z[1]))*exp(-Z[1]*n*T)/(Z[2]-Z[1])+exp(-n*T*s)*(-1+Heaviside(-n*T)))/c+(exp(-Z[2]*n*T)*(s-Z[2])*exp(-n*T*(s-Z[2]))/(Z[1]-Z[2])+exp(-n*T*s)*(-1+Heaviside(-n*T)))/c = (2*Heaviside(-n*T)-1)*exp(-n*T*s)/c
"(->)"true"(->)"true"(->)"true

Q[2] = (2*Heaviside(-n*T)-1)*exp(-n*T*s)/c+Z[1]*Z[2]*exp(-n*T*s)/((s-Z[1])*(Z[1]-Z[2])*c)-Z[2]*Z[1]*exp(-n*T*s)/((s-Z[2])*(Z[1]-Z[2])*c)+(e^(-n*T*s)-e^(-T*s)*e^(-n*T*s))/c
"(->)"false"(->)"false"(->)"false

``


Download inexplicable.mw

Can anyone explain the false return on the last line?  MAPLE seems to recognize the simplified expression on the next to last line, but when substituted into the expression for Q2 MAPLE does not seem to recognize the simplification.

Factoring a cubic polynomial...

tsunamiBTP 292 Maple
characteristic_polynomial
July 25 2013
2 1

I seem to recall from my undergrad days that a cubic polynomial could be readily factored (even analytically) if you appy the assumption that you will have 1 REAL root & the other 2 are complex conjugate pairs.  I cannot seem to find my old lecture notes & see nothing on the web on this matter.

Anyone here have any knowledge on this subject?  I have played with MATLAB & altered the polynomial coefficients such that whenever complex roots do crop...

Background on this 3D polynomial?...

tsunamiBTP 292 Maple
polynomial
July 20 2013
0 1

M = (1+y^2)/((x^2+1)*(1+z^2))

Anyone have any background knowledge on the above 3D polynomial?  Assuming all 4 parameters are real I ploteed some 3D plots & some interesting surfaces are generated.  I imagine this has some physical application.  If anyone has some knowledge on this please respond & include any references you might know of.

 

Thanks

Reinstalling MAPLE 12...

tsunamiBTP 292 Maple 12
December 12 2012
2 0

I had MAPLE 12 on WINDOWS VISTA machine and the harddrive crashed.  Now I have a newer WINDOWS 7 machine & would lke to put my individually licensed MAPLE 12 on this machine.  I do not have a DVD because the original installation occurred via MAPLESOFT website if I recall correctly.

Can anyone direct me as to what I need to do?

 

THANKS

Nonlinear system (has anyone seen this e...

tsunamiBTP 292
November 25 2012
0 0

nonlinear_system.pdf

Has anyone seen this form of a nonlinear equation with respect to X, but linear with respect to Y & Z?  I provided a contour plot within the region for all 3 variables between -2 & 2.  The plot is actually Z*conjugate(Z) so that the magnitude is above ZERO.  If I am correct I may have seen this before in orbital mechanics, but my undergrad years are a bit...

First 9 10 11 12 13 14 15 Page 11 of 16