Carl Love

Carl Love

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25 Badges

11 years, 281 days
Himself
Wayland, Massachusetts, United States
My name was formerly Carl Devore.

MaplePrimes Activity


These are replies submitted by Carl Love

It looks like an interesting problem. Please either upload a worksheet or post the code in a plaintext format so that I can cut-and-paste it. Then I will work on the problem.

@antfaulkner There are still significant bugs in your procedure Fourth. It is obvious that something is wrong because you don't treat x, y, and z identically. See the Wikipedia article on the Runge Kutta fourth-order method in http://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods. Let me know if you need more-detailed help.

When you try to upload a worksheet, make sure that you complete all three steps:

  • Browse
  • Click "Upload"
  • Click "Insert Link" or "Insert Contents" (which inserts the link also).

@antfaulkner There are still significant bugs in your procedure Fourth. It is obvious that something is wrong because you don't treat x, y, and z identically. See the Wikipedia article on the Runge Kutta fourth-order method in http://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods. Let me know if you need more-detailed help.

When you try to upload a worksheet, make sure that you complete all three steps:

  • Browse
  • Click "Upload"
  • Click "Insert Link" or "Insert Contents" (which inserts the link also).

Maple's simplify will convert (x^2-1)/(x-1) to (x+1). One could argue that these expressions are not equal because they are not equal at x=1. Could this be the root of your issue?

Bryon wrote:

We published another small update to the editor in MaplePrimes. The problems you were experiencing should now be taken care of.

  • If you are referring to the "Sorry, something went wrong" problem, that seems fixed.
  • If you are referring to the problem of the HTML editor being a blank window in the old editor, that is not fixed. It is still a blank window.
  • If you are referring to the problem of the spacing of bulleted lists, I am not sure about the status of that. This list is spaced correctly, but I could not correct the spacing on an old post.

What exactly does refreshing one's browser entail? I've shut down and restarted Firefox. Should I dump all MaplePrimes cookies? re-install the browser?

@antfaulkner The upper limit of numeric integration for your procedures ESys and Fourth is controlled by global variable T, which is set to 4 in the code posted in the original question in this thread (I couldn't find any attached file in your reply). To get the equivalent of soln(5), you'd need to set T to 5 (or more), run ESys or Fourth, and then get the values from (x[N],y[N],z[N]) (or (x[25],y[25],z[25]) assuming that you keep h=0.2).

@antfaulkner The upper limit of numeric integration for your procedures ESys and Fourth is controlled by global variable T, which is set to 4 in the code posted in the original question in this thread (I couldn't find any attached file in your reply). To get the equivalent of soln(5), you'd need to set T to 5 (or more), run ESys or Fourth, and then get the values from (x[N],y[N],z[N]) (or (x[25],y[25],z[25]) assuming that you keep h=0.2).

Are you using the latest release of Maple, 17? There are significant advances in Maple 17 that pertain to your question.

@bryon So far, the "Sorry, something went wrong" bug seems to be fixed for me. Thanks.

@acer I think that the Asker was expecting a plot that looks like the original distribution. The reason that their commands didn't provide it is that EmpiricalDistribution is a discrete distribution. Acer, I'm guessing that your solution is equivalent to tallying into bins of width 0.01. Was that your intention? A FrequencyPlot of the sample data also gives such a plot. Why did you send two bins adjacent to zero to NULL? Note the bold streaks along the vertical axis in Markiyan's post of your plots.

@acer I think that the Asker was expecting a plot that looks like the original distribution. The reason that their commands didn't provide it is that EmpiricalDistribution is a discrete distribution. Acer, I'm guessing that your solution is equivalent to tallying into bins of width 0.01. Was that your intention? A FrequencyPlot of the sample data also gives such a plot. Why did you send two bins adjacent to zero to NULL? Note the bold streaks along the vertical axis in Markiyan's post of your plots.

@Manny08 In that worksheet, a "dependency relation" is shown. That means that one column is expressed as a linear combination of the others. That one column is the same as the vector in the present problem which we want to express as a linear combination of the others. That worksheet is literally the complete answer to the present problem.

Here's an attempt explain it in simpler language: The entries in the last column of the RREF are the coefficients that are used with the original vectors to express the original last column as a linear combination of the other columns.

@bryon Could you be more specific as to what you mean by the "reply-to problem"? I am guessing that you don't mean the "Sorry, something went wrong" problem, because I just got that while writing an earlier copy of this reply.

Another MaplePrimes editor bug: The hyperlink editor is broken in Firefox. I tried several times to use it, but all I get is a blank window. It works in Internet Explorer. I mean the hyperlink editor in the old MaplePrimes editor, the one that is used when one clicks Edit on a post.

@Manny08 Why can't you follow the answer in the hyperlink in my first Reply to this post? It is literally the same answer as to the present Question. I could cut-and-paste and put that answer here. Why can't you? I'm not trying to be offensive; I'm really curious what's going on.

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