graphics – GraphicsRow with labeled plots resizes plots?

Here is a simple example:

a = Plot(x^2, {x, 0, 10})

aa = Labeled(Plot(x^2, {x, 0, 10}), "a", Top)

GraphicsRow({a, aa})

Which gives the following image as an output:
example of graphics grid not scale correctly?

The labeled plot is smaller than the unlabeled plot (and there is excess white space, but the white space can maybe be fixed by manually setting padding or something?)

How can I avoid this from happening?, (and maybe why does this happen?)


A couple things I wish to note:

  • I would prefer to stick with a solution that labels an existing plot and combines them, as opposed to adding labels to the plotting functions, if at all possible.
  • I believe a similar issue happens if the GraphicsRow is formed from two labeled plots (they will be the same size, but “zoomed out”.
  • Maybe this is just a zoom/aspect ratio problem? Sorry if it is so easy and I just don’t know how to do it.

Also, there are similar questions, so perhaps my question is a duplicate? For example, this and this. But those seem more about asking how to label a grid, whereas I want to know how to make this method here give the same size output, and also why this issue occurs. (Also, I don’t quite understand the answers in those questions)

How do I make a chart based on labeled values in Google Sheets?

I have a simple data set with nine values in Google Sheets. (Link here, screenshot follows.) How do I make this into chart based on distinct values in the first two columns. (Mockup follows.) I tried choosing the range A1:C10 in different combinations as the data range, to no avail.

  • I can concatenate Columns A and B, if that helps.
  • It would be nice to have distinct colors based on Column B, as in the mockup.
  • It would be nice to label the numerical values, and even better if the labels can reflect different units, as in the mockup.

sheet
mockup

Efficient way to import a sequence of data labeled with a parameter value

Suppose we have a number of data in .m format, which are labeled with the value of a parameter $c$, for example, c=0data.m, c=0.2data.m, c=0.4data.m, c=0.6data.m, c=0.8data.m, c=1data.m, …

Now, we need to import these data and assign them to solc0, solc2, solc4,…, solc10 for batch processing. I use the following Do loop with ToString:

Do[solc<>ToString[i] = << "C:\Users\c="<>ToString[i/10]<>data.m", {i, 0, 10, 2}]

which generates lots of errors. Can anyone point out what I overlooked? Thank you.

Graphics – Create a binary tree in which nodes are labeled according to the specified rule

I want to draw a binary tree in Mathematica in which the nodes are labeled according to a certain rule. Indeed, a rule determines whether a node has a left child, a right child, or both. And then I also want to label each node according to a rule. How do I do that? I can do this fairly easily in programming languages ​​like Java / Kotlin. But Mathematica has the advantage of a nice drawing and that's what I want (plus the rules are math equations, etc.). How could I do that?

Add an example

For example, suppose it is a BST and a random function generates the values. And the name of each node is a random letter, followed by the order in which that node was added, such as "c7".

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Plotting – How to create a labeled categorical heat map in Mathematica

Given the data: {{1.4, 0}, {0, 1.0}} I can create a heat map with

DensityHistogram [{{1.4, 0}, {0, 1.0}}, {1}]

Enter the image description here

However, the ticks are not informative. The heat map must show the actual labels for each column and row. I need something like:

Enter the image description here

How can I achieve this? I tried to resize the container, but the numbers and checkmarks remain. it just changes their distance.

Plot – add a zero checkmark labeled 0

I don't know if it's possible with Ticks. Here is one way to achieve the desired result Frame and FrameTicks::

plot1 = Plot[2*x, {x, 0, 1}, Frame -> {{True, False}, {True, False}}, 
  FrameTicks -> {{{0, 1}, All}, {{{0, "0"}, 1}, All}}, 
  PlotRangePadding -> 0]

Enter the image description here

plot2 = RegionPlot[{x >= y}, {x, 0, 1}, {y, 0, 1}, 
  Frame -> {{True, False}, {True, False}}, 
  FrameTicks -> {{{0, 1}, All}, {{{0, 0}, {0.5, "a"}, 1}, All}}, 
  PlotRangePadding -> 0]

Enter the image description here

Coding Style – Is It Bad To Break Out Of A Labeled Block In Java?

I sometimes write Java code that looks like:

success: {
    fail: {
        if (...) break fail;
        // some code
        if (...) break fail;
        // some code
        if (...) break fail;
        // some code
        break success;
    }
    // failure handling code
}

Is this bad practice? I could extract this to a method that returns one OptionalThen call this method from the main method, but I'm worried that it will affect performance.

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