From: kumar vishwajeet on 6 Apr 2010 20:36 Does anyone know about differential operator in MATLAB corresponding to "D" operator in Mathematica. I am not looking for diff() function. I just want to use d/dt corresponding to "d/dx" used in mathematica. I want to use this "d/dt" operator in Bessel function: 1+sigma*D/alpha^2 where D is the differential opeartor "d/dt"
From: TideMan on 6 Apr 2010 20:44 On Apr 7, 12:36 pm, "kumar vishwajeet" <kwz...(a)gmail.com> wrote: > Does anyone know about differential operator in MATLAB corresponding to "D" operator in Mathematica. I am not looking for diff() function. I just want to use d/dt corresponding to "d/dx" used in mathematica. I want to use this "d/dt" operator in Bessel function: > 1+sigma*D/alpha^2 > where D is the differential opeartor "d/dt" I know nothing about Mathematica, but to numerically differentiate in Matlab, use: help diff help gradient BTW, your equation makes no sense to me. By my way of reckoning, D must have an argument of some sort.
From: kumar vishwajeet on 6 Apr 2010 21:08 TideMan <mulgor(a)gmail.com> wrote in message <b787b93d-3173-4ca1-9a48-d75f6afa661b(a)r1g2000yqb.googlegroups.com>... > On Apr 7, 12:36 pm, "kumar vishwajeet" <kwz...(a)gmail.com> wrote: > > Does anyone know about differential operator in MATLAB corresponding to "D" operator in Mathematica. I am not looking for diff() function. I just want to use d/dt corresponding to "d/dx" used in mathematica. I want to use this "d/dt" operator in Bessel function: > > 1+sigma*D/alpha^2 > > where D is the differential opeartor "d/dt" > > I know nothing about Mathematica, but to numerically differentiate in > Matlab, use: > help diff > help gradient > > BTW, your equation makes no sense to me. > By my way of reckoning, D must have an argument of some sort. A bessel function ratio is defined as following: B = 1 for ctr = 1:inf %here inf can be replaced with any finite number for approximation num = 1+sigma*D/(alpha1(ctr)*alpha1(ctr)) den = 1+sigma*D/(alpha0(ctr)*alpha0(ctr)) B = B*num/den end alpha0 and alpha1 are zeros of zero - order and first order bessel function. The final value of B is the bessel function ratio that I am trying to calculate.
From: kumar vishwajeet on 6 Apr 2010 21:37 "kumar vishwajeet" <kwzeet(a)gmail.com> wrote in message <hpglu8$e9a$1(a)fred.mathworks.com>... > TideMan <mulgor(a)gmail.com> wrote in message <b787b93d-3173-4ca1-9a48-d75f6afa661b(a)r1g2000yqb.googlegroups.com>... > > On Apr 7, 12:36 pm, "kumar vishwajeet" <kwz...(a)gmail.com> wrote: > > > Does anyone know about differential operator in MATLAB corresponding to "D" operator in Mathematica. I am not looking for diff() function. I just want to use d/dt corresponding to "d/dx" used in mathematica. I want to use this "d/dt" operator in Bessel function: > > > 1+sigma*D/alpha^2 > > > where D is the differential opeartor "d/dt" > > > > I know nothing about Mathematica, but to numerically differentiate in > > Matlab, use: > > help diff > > help gradient > > > > BTW, your equation makes no sense to me. > > By my way of reckoning, D must have an argument of some sort. > > > A bessel function ratio is defined as following: > B = 1 > for ctr = 1:inf %here inf can be replaced with any finite number for approximation > num = 1+sigma*D/(alpha1(ctr)*alpha1(ctr)) > den = 1+sigma*D/(alpha0(ctr)*alpha0(ctr)) > B = B*num/den > end > > alpha0 and alpha1 are zeros of zero - order and first order bessel function. > The final value of B is the bessel function ratio that I am trying to calculate. Follow this link:- http://mathworld.wolfram.com/DifferentialOperator.html I want a similar 'D" operator in MATLAB
From: TideMan on 6 Apr 2010 21:45 On Apr 7, 1:08 pm, "kumar vishwajeet" <kwz...(a)gmail.com> wrote: > TideMan <mul...(a)gmail.com> wrote in message <b787b93d-3173-4ca1-9a48-d75f6afa6...(a)r1g2000yqb.googlegroups.com>... > > On Apr 7, 12:36 pm, "kumar vishwajeet" <kwz...(a)gmail.com> wrote: > > > Does anyone know about differential operator in MATLAB corresponding to "D" operator in Mathematica. I am not looking for diff() function. I just want to use d/dt corresponding to "d/dx" used in mathematica. I want to use this "d/dt" operator in Bessel function: > > > 1+sigma*D/alpha^2 > > > where D is the differential opeartor "d/dt" > > > I know nothing about Mathematica, but to numerically differentiate in > > Matlab, use: > > help diff > > help gradient > > > BTW, your equation makes no sense to me. > > By my way of reckoning, D must have an argument of some sort. > > A bessel function ratio is defined as following: > B = 1 > for ctr = 1:inf %here inf can be replaced with any finite number for approximation > num = 1+sigma*D/(alpha1(ctr)*alpha1(ctr)) > den = 1+sigma*D/(alpha0(ctr)*alpha0(ctr)) > B = B*num/den > end > > alpha0 and alpha1 are zeros of zero - order and first order bessel function. > The final value of B is the bessel function ratio that I am trying to calculate. So when you write: D/(alpha1(ctr)*alpha1(ctr)) you don't mean the quotient of D and (alpha1(ctr)*alpha1(ctr)), you mean the derivative of (alpha1(ctr)*alpha1(ctr)) with respect to t. Is that correct? If so, that's pretty weird notation. And are you trying to differentiate (alpha1(ctr)*alpha1(ctr)) numerically or symbolically?
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