In Mathematica 12.2

Differences[{Quantity[1, "mm"], Quantity[1, "mm"]}]


{Quantity[0, "Millimeters"]}

In Mathematica 13.1, same expression gives


with no unit!

This introduces inconsistency. For example

 Differences[{Quantity[1, "mm"], Quantity[1, "mm"], Quantity[2, "mm"],
    Quantity[3, "mm"]}]

prompts errors in 13.1, while no problem in 12.2

In the documentaion of Differences, it says

Differences[list] is equivalent to ListConvolve[{1,-1},list].

But it is not!

ListConvolve[{1, -1}, {Quantity[1, "mm"], Quantity[1, "mm"]}]


{Quantity[0, "Millimeters"]}

What is changed for Differences in 13.1? It seems like a bug. Are there some other side effects of this potential change?


A patch I can think of is

Differences[x : {__Quantity}] := ListConvolve[{1, -1}, x];

But I do not know if Unprotect and Protect a built-in function will have undesirable side effect or not. Anyone knows?

  • $\begingroup$ As a workaround, Differences[list] /. {0 -> Quantity[0, QuantityUnit[list[[1]]]]} $\endgroup$
    – Bob Hanlon
    Jul 21, 2022 at 15:21
  • $\begingroup$ @BobHanlon Thank you for comment. I just add my workround in my post. But I do not know if it is proper or not $\endgroup$
    – matheorem
    Jul 21, 2022 at 16:50
  • 1
    $\begingroup$ Looks like a bug to me. 0 mm is definitely not the same as 0, see here for an extended comment. $\endgroup$
    – Roman
    Jul 21, 2022 at 17:00
  • 1
    $\begingroup$ Minimal example: compare Quantity[1, "Millimeters"] - Quantity[1, "Millimeters"] with Subtract[Quantity[1, "Millimeters"], Quantity[1, "Millimeters"]] $\endgroup$
    – Jason B.
    Jul 21, 2022 at 17:57
  • $\begingroup$ @JasonB. So we need one more patch for Subtract. I even guess Subtract and Differences are related in the internal. $\endgroup$
    – matheorem
    Jul 22, 2022 at 1:22


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