Questions on undocumented functionality of Mathematica. Note that such functions might be subject to change without notice in future versions.

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13
votes
0answers
114 views

Undocumented fourth parameter of Collect; how long has it been there?

While tinkering with How to get a list of monomials of a polynomial without coefficients? on a whim I tried a fourth argument in Collect and found: ...
11
votes
2answers
188 views

What will happen if I set ExclusionsStyle for points in 2D plot?

For example f[x_] := (x^5 - 4 x^2 + 1)/(x - 1/2); Plot[f[x], {x, -1, 2}, Exclusions -> {f[x] == 0}, ExclusionsStyle -> Dashed] Has the ...
10
votes
1answer
159 views

Enigmatic message about MaxBend

Referring to the method I proposed for Problem with ParametricPlot Mathematica 10.0.2 throws an enigmatic error message: ...
22
votes
2answers
563 views

Specifying non-conflicting PlotTheme options

A bug or limitation in 10.0.0 affects a few of these examples; it was resolved in 10.1.0. I am trying out Mathematica 10 on https://programming.wolframcloud.com. ...
10
votes
2answers
181 views

Why is a symbol still found after changing its context?

It seems that we can change the context of symbols: In[1]:= x = 1 Out[1]= 1 In[2]:= Context[x] = "foo`"; But then x is still ...
36
votes
6answers
1k views

Items known by CurrentValue

CurrentValue can be used to poll the state of numerous system values such as the mouse position. Its help page doesn't list all possible items, though. An item like ...
13
votes
1answer
133 views

How to retrieve current FaceForm?

The current colour in a Graphics object can be retrieved using CurrentValue["Color"] for use in Dynamic stuff. Example: ...
5
votes
1answer
60 views

Can Someone Please Explain Internal`$SameQTolerance?

If I input Internal`$SameQTolerance (* output = 0.30103 *) which is the approximation of Log[10,2], or ...
90
votes
11answers
4k views

What are some useful, undocumented Mathematica functions?

There have already been some questions about some undocumented functionality in Mathematica. Such as (please add to these lists!) How can one find undocumented options or option values in ...
12
votes
1answer
337 views

What is the complete list of valid FrontEnd Packet types?

In response to my question How can I get the unchanged Box form of an arbitrary expression? John Fultz answered with a method using the hilariously named ...
12
votes
1answer
160 views

Is there a way to control which special forms Normal converts?

Normal documentation reads: Normal[expr] converts expr to a normal expression, from a variety of special forms. But is there a way to control which special ...
2
votes
1answer
81 views

How to obtain a complete list of WordData's “Properties”?

Command WordData["Word", "Properties"] seems to return an endless list of properties, such as: "Definitions", ...
10
votes
1answer
227 views

How can I make FilledCurve smoother?

In How can I generate and randomly assign color to annular sectors? J.M. showed an interesting way to create a sector graphic using FilledCurve. Unfortunately it ...
12
votes
2answers
334 views

Behavior of Reduce with variables as domain

When using Reduce, I accidentally put a set of variables as the domain. To my surprise, it not only seems that Reduce expects ...
8
votes
1answer
124 views

What's the goal of the Macros` package?

I see in the Mathematica install a Macros` package. In windows the paths is for example: ...
8
votes
1answer
170 views

Possible Method for MatrixExp

Well, probably a hard question, but I think it's better to cry out loud :). I noticed that MatrixExp owns Method option when ...
18
votes
1answer
375 views

What are SparseArray Properties? How and when should they be used?

A strange undocumented form of SparseArray is increasingly used in answers on this site: ...
16
votes
1answer
262 views

In 10.1.0 BenchmarkPlot doesn't work?

In Mathematica 10.1.0 BenchmarkPlot from the GeneralUtilities package doesn't work; copying Taliesin Beynon's initial use of the function on this site: ...
5
votes
0answers
57 views

Is “MaxMessageCount” broken or is its function counter-intuitive?

Behavior remains unchanged through Mathematica version 10.1.0 As noted by kguler the Front End option: MessageOptions -> "MaxMessageCount" does not appear to ...
107
votes
5answers
4k views

How can one find undocumented options or option values in Mathematica?

Mathematica has a lot of undocumented or poorly documented options. How does one go about working out if there is an undocumented option that might solve a particular problem? How does one work out ...
25
votes
1answer
616 views

Undocumented form for Extract

Prompted by a comments conversation here, here's an interesting (and often performance enhancing) use of Extract: ...
8
votes
2answers
263 views

What does IndexBy do and how exactly does it work?

I just saw the function IndexBy in the autocomplete suggestions and I was curious to know exactly how it works. Unfortunately, there's no trace of it in the ...
24
votes
0answers
332 views

Documentation of the frequently-used functions in the context of Internal` and Compile` [duplicate]

In this site, I have gradually found out that there is a collection of functions in all kinds of answers. For instance, Compile`GetElement, ...
1
vote
0answers
31 views

Understanding HoldSequence and ReleaseHoldSequence in Error Handling

I was playing with GeneralUtilities`PrintDefinitions in V10.1, and find some of native Mathematica functions using ...
24
votes
1answer
814 views

Undocumented use of Integrate: Integrating over regions

I have come across a few questions asking about integrating over regions. And while the answers are impressive there should be a better more consistent way. So my question is, are there ways, ...
17
votes
1answer
180 views

Reading from a socket stream

I noticed an undocumented socket package (SocketLink) in Mathematica (Using version 10, not sure when it was actually added) and wrote a barebones HTTP responder ...
38
votes
1answer
793 views

What's inside InterpolatingFunction[{{1., 4.}}, <>]?

I'm curious what's inside the InterpolationFunction object? For example: ...
5
votes
1answer
87 views

Syntax for FrontEnd`SelectionSetStyle

I know FrontEnd`SelectionSetStyle is undocumented, but its name suggests it does what I need. What is its syntax? I have already tried several variations of the ...
8
votes
2answers
340 views

How to get a list of available appearance/styles/Methods?

This is a basic question but I haven't found any answer yet :/ Available appearances for Button[] are mentioned in Help, those ...
3
votes
0answers
46 views

Undocumented options for “BalloonEmbedding” in GraphLayout

From an error message, I see some options of the BalloonEmbedding method for GraphLayout: ...
4
votes
1answer
82 views

What are all the Properties that ColorData supports?

The documentation for ColorData reads: Possible properties in ColorData["scheme","property"] include: ...
2
votes
1answer
53 views

When is are these additional docked cell styles used?

The the style "DockedCell" is automatically used for Docked Cells even when no Cell style is specified. In the section of ...
6
votes
1answer
134 views

What are the arguments supplied to ColorFunction in MandelbrotSetPlot?

On the document of MandelbrotSetPlot, it said: With ColorFunction->f, where f is a function, the argument of f is a real number in proportional to the number of ...
4
votes
2answers
162 views

Is there a build-in function converting a quantity to one with mixed units (such as feet and inches)?

For example, I want to convert 179 centimeters into 5 feet and 10.4724 inches instead of 70.4724 inches (as this website did). Maybe in the future I would need to convert days to {years, months, days} ...
15
votes
2answers
308 views

What is the purpose of Internal`LocalizedBlock?

I have come across the (internal) use of of the function: Internal`LocalizedBlock I am trying to determine its purpose. It seem to behave like ...
20
votes
2answers
438 views

What are all the named Mathematica styles?

This question came to mind because of this answer to a recent question. Under Style, the Mathematica Documentation Center says the following about named styles. A few common named styles ...
5
votes
1answer
103 views

RawArray crashes the kernel

fixed in 10.0.2 RawArray seems to crash the kernel on my machine RawArray["Byte", {}] Is this a bug? Any insights why this happens? My system: version 10.01 ...
3
votes
0answers
61 views

Lists for built-in functions that can work without brackets

I just noticed that Exit and Quit can work without brackets i.e. a single Exit or ...
5
votes
2answers
152 views

Finding out all undocumented values for “Properties” in XxxData[] functions

No, XxxData[] is not a new function in Mathematica 11. I am just using that name for all curated data-related functions. As you know, ...
1
vote
1answer
68 views

In which version was this Extract syntax introduced?

In Mathematica 10.0.1 this works: Extract[{a, b, c, d, e}, {{{1, 3}}, {{5, 4}}, {{2}}}] {{a, c}, {e, d}, {b}} In ...
12
votes
2answers
177 views

Listable functions thread over Associations; is this documented?

Thanks to a somewhat misapplied use of MapThread I learned of this behavior: ...
4
votes
0answers
237 views

Strange behavior of undocumented RawArray and ArrayObject expressions

I discovered several strange results and inconsistencies while trying to understand what undocumented RawArray and ArrayObject ...
4
votes
1answer
141 views

Undocumented overload for Graph?

I stumbled (here, in the expression for the block diagram) upon a version of Graph that I don't see in the documentation over here. That documentation admits three overloads (the following are in my ...
22
votes
1answer
491 views

How to work with Experimental`NumericalFunction?

This question is intimately connected with previous one: "How to create internally optimized expression for computing with high WorkingPrecision?" Oleksandr R. correctly states in the comment: A ...
7
votes
1answer
333 views

How to use Undocumented Functions Prism, Tetrahedron and Hexahedron

Taking a look at this question and this one, I checked to see if Mathematica really does not have a Prism primitive. To my surprise the function ...
42
votes
1answer
1k views

How can I manipulate TemporalData?

Version 9 introduced TemporalData but, truth be told, the documentation doesn't suggest that one can do much with it. Many of us have probably assumed we'd be ...
7
votes
1answer
327 views

What are \[InvisiblePrefixScriptBase] and \[InvisiblePostfixScriptBase]?

In the non-printing characters documentation, I see two named characters that are largely undocumented: \[InvisiblePrefixScriptBase] and ...
8
votes
0answers
193 views

TableView displays negative numbers incorrectly

I'm trying to substitute TableForm with TableView because TableView is more handy with big data . But on my Mathematica 9.0.1 (ubuntu 14.04_64bit) there is a problem with negative numbers: ...
5
votes
1answer
122 views

Undocumented WolframLibraryData::evaluateExpression

It seem there's this promising function in the callback object provided to MathLink C functions: ...
8
votes
0answers
161 views

TeXToBoxes and BoxesToTeX BoxRules options

A recent question has gotten me to look more into the tex conversion rules. Consider the following latex string: ...