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Feb
11
comment the winding number for the circle map (Arnold tongue)
Can you add the specific parameters for the producing of this picture? BTW, the link is broken.
Feb
11
comment How to visualize pattern matching process?
@user15961 You don't need to accept that quick, feel free to wait for 24 hours or more so your question may attract better answers.
Feb
10
comment How to visualize pattern matching process?
@ChipHurst Yeah, Reap and Sow is undoubtedly a better choice. The initial intention of this answer is only to show that trick so I chose the relatively simpler Print to avoid distraction :)
Feb
10
comment Does NRoots own an abstract counterpart? If not, can we write one?
Any plan to implement the other 2 method of NRoots[]? Though I admit this question is motivated by my competitive mood against Matlab, now its target is to get the counterpart of NRoots[] anyway :)
Feb
10
comment Does NRoots own an abstract counterpart? If not, can we write one?
Translation for the comment of @chyaong: According to your new-added code, NRoots in v10.0.2 is more than 4 times as fast as that in v9.0.1. The roots[] in my answer has similar performance as roots() of matlab. Well, that's interesting.
Feb
10
comment Alternative to Series
Do you need a numeric series solution or a symbolic series solution?
Feb
10
comment Alternative to Series
I think you forgot 2 initial conditions in the code?
Feb
9
comment Does NRoots own an abstract counterpart? If not, can we write one?
@chyaong Yeah, list.x^Range[0, n] is simper, but Amita has chosen the latter and take the screenshot, so let it be, anyway it's not the main issue here :)
Feb
9
comment Precision of NIntegrate
You'd better add a concrete example. BTW, have you tried the WorkingPrecision option?
Feb
9
comment Does NRoots own an abstract counterpart? If not, can we write one?
@DanielLichtblau Yeah, and eliminating the preprocessing is the target of this question. I just edited the question and made this part clearer (I think).
Feb
9
comment Does NRoots own an abstract counterpart? If not, can we write one?
@DanielLichtblau That sounds reasonable. Question edited. (Thanks for the test from Amita!)
Feb
6
comment Does NRoots own an abstract counterpart? If not, can we write one?
To the downvoter, I am interested in what's wrong with my question, would you please elaborate. I'm not trying to complain here, I just want improve my question if possible.
Feb
3
comment Bug? Kernel Crash on SparseArray access
Confirmed in v8.0.4 and v9.0.1, vista 32bit.
Jan
31
comment System of differential equations
possible duplicate of Why my differential equations become True?
Jan
31
comment NIntegrate and Integrate of a Spherical Bessel function
You misread OP's expression again, it should be BesselJ[15/2, BesselJZero[15/2, 1] r]^2 r
Jan
29
comment NIntegrate and Integrate of a Spherical Bessel function
Well, I'm afraid this isn't the integrand OP struggling with…
Jan
26
comment Brevity of denoting Conjugate[]
TraditionalForm?
Jan
24
comment Boundary sphere partial differential equation
Er… so what's your boundary condition of θ, in traditional math notation? BTW I think it'll be better if you mention some background information of your PDE.
Jan
22
comment Differential equation with a Heavisidetheta function running for ever
You've made a small mistake. y[L] == 0 and y''[L] == 0 can't be used in the first half as boundarys. If you Show the numeric and symbolic result, you'll see they're different :)
Jan
19
comment Least effort to handle a point source inside the domain of PDE(s)
Interesting……Well, does this mean if we stick a infinite thin rod on an unbroken membrane, the membrane won't have any displacement except on the stuck point?