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Student Support Forum: 'ListPlot in conjunction with a Log Scale' topicStudent Support Forum > General > "ListPlot in conjunction with a Log Scale"

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Steve
05/10/01 8:03pm

First, thank you for all of your help. I apologize for continuing to flood this forum with this one issue. I got Mathematica in order to make this one type of chart, for use in a thesis paper. I thought I'd be able to complete it on my own with some guidance from this forum, but I think the programming language is getting the best of me. I want to try again to explain exactly what I'm trying to do, and provide you with all of the information this time. Hopefully it will be the last. Please excuse the length.

I want to chart a list of approx 110 independent (x,y) coordinates (which I've attached at the bottom of this message). I want to be able to chart two different graphs:

1st Graph: x-axis ranging from 1-110. I want each unit on the y-axis to increase by 50% (in other words, 0 to 1 is 1 unit, 1 to 2 is 50% of the distance of 0 to 1, 2 to 3 is 50% of the distance of 1 to 2, etc.) I believe that is a log base 2 scale. The help that I've received has enabled me to create a chart that has tickmarks that double every tickmark (1,2,4,8,16,etc.), which appears to satisfy this request, but I believe it is still using a log base 10 scale. I think each one unit increase is 10% of the one before rather than 50%. The tickmarks work, but it's just an illusion, I think. I actually don't even care if there are tickmarks, I just want the right scale. On this chart, a four unit move on the y-axis from 10 to 14 should look very similar in length of a move from 5 to 7.

2nd Graph: x-axis the same as above. I want the y-axis on this one to increase by 90% as we go up the scale (0 to 1 is 1 unit, 1 to 2 is 90% of the distance of 0 to 1, 2 to 3 is 90% of the distance of 1 to 2, etc.). Once again, I don't care about the tickmarks, although they're nice to have, I just want the correct scale. Basically, on this one, a 10 unit move from 100 to 110 on the y-axis should look very similar to the length of a 1 unit move from 0 to 1.

I guess I'm wondering if this is possible or not. I was told by Wolfram that it was, so that's why I chose to purchase the software. But I'm getting nervous that the scale will really only support a log base 10 scale, and the tickmarks are just a way of making it look different. I've also had problems when I want to plot a coordinate that has a negative number or a fraction less than 1 for y. That's why I'd like to make the graph independently and then plot points on it, but I can probably get around using the negative numbers and fractions if need be. I've included a sample list of coordinates that I might be using, for your reference.

Once again, I sincerely appreciate the help. If this is a burden to the forum, I'd be glad to communicate via individual email with someone that thinks they have a solution if that would be more appropriate--I'm not real sure how things work on this forum.

{{1., 7.7131}, {2., 8.9759}, {3., 10.358}, {4., 8.8312}, {5., 10.1711}, {6., 8.1538}, {7., 8.4111}, {8., 9.184}, {9., 7.0997}, {10., 5.2889}, {11., 5.7447}, {12., 5.5373}, {13., 4.9783}, {14., 5.2863}, {15., 6.7695}, {16., 3.7896}, {17., 4.9731}, {18., 5.1614}, {19., 5.4338}, {20., 3.7214}, {21., 3.2986}, {22., 2.3248}, {23., 1.8066}, {24., 2.7412}, {25., 1.8356}, {26., 2.1335}, {27., 4.3398}, {28., 5.1993}, {29., 4.9152}, {30., 5.166}, {31., 8.1151}, {32., 10.3003}, {33., 13.5019}, {34., 13.4867}, {35., 13.911},
{36., 16.2289}, {37., 14.8194}, {38., 13.6138},
{39., 10.4359}, {40., 10.1015}, {41., 8.9743},
{42., 8.1217}, {43., 8.5548}, {44., 9.0557},
{45., 10.1671}, {46., 5.8785}, {47., 6.2475},
{48., 5.6519}, {49., 4.1337}, {50., -0.0724},
{51., 3.4994}, {52., 1.8656}, {53., 0.4669}, {54., 2.1738}, {55., 10.8873}, {56., 6.616}, {57., 8.1293}, {58., 9.9386}, {59., 8.9855}, {60., 8.5726}, {61., 10.725},
{62., 10.4821}, {63., 9.6038}, {64., 16.9587},
{65., 19.8997}, {66., 20.2417}, {67., 23.9455},
{68., 22.0371}, {69., 21.2512}, {70., 24.8034},
{71., 23.5218}, {72., 22.2094}, {73., 25.036},
{74., 26.7289}, {75., 28.9562}, {76., 24.7816},
{77., 24.4244}, {78., 28.7366}, {79., 27.1789},
{80., 29.428}, {81., 30.8782}, {82., 28.1455},
{83., 27.93}, {84., 24.6864}, {85., 25.9153},
{86., 31.2566}, {87., 32.5132}, {88., 31.5967},
{89., 25.5959}, {90., 19.1677}, {91., 9.9024},
{92., 4.8318}, {93., 6.3299}, {94., 7.2123}, {95., 8.2286}, {96., 13.5964}, {97., 11.4242}, {98., 6.7101},
{99., 11.2281}, {100., 14.8962}, {101., 7.6771},
{102., 4.8257}, {103., 5.9073}, {104., 7.7698},
{105., 5.3548}, {106., 7.9835}, {107., 5.865},
{108., 5.8562}, {109., 8.067}}

Thank you very much,
Steve

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Subject (listing for 'ListPlot in conjunction with a Log Scale')
Author Date Posted
ListPlot in conjunction with a Log Scale Steve 05/10/01 8:03pm
Re: ListPlot in conjunction with a Log Scale Henry Lamb 05/14/01 09:55am
Re: ListPlot in conjunction with a Log Scale Casey Mann 05/14/01 09:56am
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