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

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94
votes
5answers
3k 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 ...
74
votes
7answers
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 ...
43
votes
2answers
2k views

Internal`Bag inside Compile

Since Internal`Bag, Internal`StuffBag and Internal`BagPart can be compiled down, it is a ...
41
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 ...
34
votes
6answers
883 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 ...
31
votes
4answers
575 views

Any ideas on how to use the Region` context?

If you type ?Region`* you'll get: which seems a bunch of interesting and not documented symbols. Any idea (or experience) on how to use them? Edit By ...
29
votes
1answer
2k views

Does Mathematica support variable frame rate for any video format, in analogue of GIF-style “DisplayDurations”?

The good old GIF animation format allows us to set the duration of each individual frame in the animation separately. This is especially useful if some frames in ...
28
votes
4answers
563 views

Undocumented form for FilledCurve[]

New in Mathematica 8 is FilledCurve (and its cousin JoinedCurve). The docs state that this function can take a list of segments ...
27
votes
4answers
1k views

Question about collections of custom GUI controls for Mathematica

Background: I have only recently begun programming GUIs in Mathematica, so I have a continuous need for custom controls. I needed a scrollable list control and with the help of Google I found a ...
25
votes
1answer
254 views

What does Internal`InheritedBlock do?

What does the function Internal`InheritedBlock do? How is it different from the regular Block?
24
votes
1answer
576 views

How do I find all the possible events that work with EventHandler?

The EventHandler documentation, More Information section, lists 5 mouse events: ...
23
votes
3answers
744 views

Is using undocumented functionality a Bad Idea™?

Mathematica has a lot of very useful undocumented features. For example a hash table, a built-in list of compilable functions, additional options to CurrentValue, ...
23
votes
3answers
554 views

Undocumented form for Extract

Prompted by a comments conversation here, here's an interesting (and often performance enhancing) use of Extract: ...
22
votes
1answer
556 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, ...
21
votes
2answers
482 views

How to write beveled fractions?

How to write beveled fractions like ${}^a/_b$? In contrast to $\frac{a}{b}$ and $a/b$ (see this question).
21
votes
1answer
421 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 ...
19
votes
1answer
296 views

What does “EquationalLogic`FindCounterexample[]” do?

I found the undocumented EquationalLogic`FindCounterexample[] by browsing the lists of available symbols, but I have no clue about its purpose. The name is ...
18
votes
1answer
517 views

What does ImageSize -> 1 -> 1 mean?

On the page http://www.wolfram.com/language/gallery/blur-faces-in-an-image/ the example code has ImageSize -> 1 -> 1. I am unfamiliar with this chaining of ...
17
votes
2answers
399 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 ...
17
votes
1answer
413 views

What is the meaning of the last argument passed to the ColorFunction of a ParametricPlot3D?

According to the docs, the meaning of the arguments passed to ParametricPlot3D is $x, y, z, u, v$. This is 5 arguments: the Cartesian coordinates and the two ...
15
votes
2answers
274 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 ...
15
votes
1answer
223 views

The second argument of Signature

I've noticed that Signature can have an undocumented second argument. What does it do? Signature[{1,2,3,4}, ?]
14
votes
0answers
485 views

Undocumented syntax of FilledCurve [duplicate]

Possible Duplicate: Undocumented form for FilledCurve[] A nice trick to get the outline paths of letters is to use the PDF exporter/importer ...
12
votes
3answers
289 views

In InputField, how to prevent Shift-Return from generating a new cell?

When running the following in a notebook (not a deployed CDF file), it can sometimes be annoying that accidentally pressing Shift-Return breaks out of the user ...
12
votes
2answers
331 views

Internal “Periodical” functions in version 7

In version 7 there exist these Internal` context functions: ?Internal`*Periodical* ...
11
votes
2answers
159 views

Listable functions thread over Associations; is this documented?

Thanks to a somewhat misapplied use of MapThread I learned of this behavior: ...
11
votes
0answers
100 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 ...
11
votes
0answers
150 views

Graphics`Mesh`FindIntersections[ ] fails to detect intersections

Graphics`Mesh`FindIntersections[ ] is an undocumented function for, well, detecting intersections very efficiently. Take a look: ...
10
votes
2answers
220 views

Bags and non-standard evaluation

What can internally be happening here? Is the evaluator just messing with us and going non-standard because it's a Bag? Or am I just not seeing how something like ...
10
votes
1answer
212 views

Is there a method to enumerate the keys/values of System`Utilities`HashTable

Lacking from the simple API of System`Utilities`HashTable is a method to enumerate the keys/values. ...
9
votes
2answers
354 views

Is there a “GrabHand” and “OpenHand” MouseAppearance in Mathematica?

MouseAppearance[Plot[Sin[x], {x, 0, 5}], "LinkHand"] Unfortunately I cannot get a screen grab to show the link hand but it is a cartoon hand with a finger ...
9
votes
1answer
172 views

Is there a way to have a Tooltip for non-editable raster graphics produced by MakeBoxes?

I have a function which produces a large object I would like to hide. Formatting is of course an option but I'm hoping for something a little more meaningful using raster graphics and ...
8
votes
1answer
292 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 ...
8
votes
1answer
270 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 ...
7
votes
2answers
215 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 ...
7
votes
1answer
120 views

Strange behaviour of Internal`InheritedBlock

I was going to post an answer for fast way to replace all zeros in the matrix. I was even quite happy because timings were the same order of magnitude as others. The idea was to overwrite ...
7
votes
1answer
288 views

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

In the non-printing characters documentation, I see two named characters that are largely undocumented: \[InvisiblePrefixScriptBase] and ...
7
votes
0answers
161 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: ...
7
votes
0answers
158 views

How can we extend the predictive interface so it can suggest new operations?

Introduction Mathematica 9 has introduced a new predictive interface. For each output, it suggest possible actions the user might want to take. How can this interface be extended so that it will ...
7
votes
0answers
186 views

What Method options does FindInstance accept?

While answering Trouble getting FindInstance to return multiple results for certain constraints it became clear that for this problem FindInstance would be better ...
6
votes
0answers
167 views

Documentation for user-defined functions; undocumented documentation feature?

I stumbled on some strange behaviour when trying out the new function template and documentation features, now purportedly working in v 9.0.1. I defined a function ...
6
votes
0answers
155 views

Finding hidden treasure (aka finding undocumented functions) [duplicate]

I was searching for a way to determine if a point is within a polygon and stumbled upon rm -rf's answer. (actually, I really wanted to find a point within a ...
6
votes
0answers
150 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: ...
5
votes
3answers
706 views

Parameters for the CIE XYZ Color Space in Mathematica

In Mathematica, producing a color based on its RGB parameters is easy; one can use (for example) ...
5
votes
2answers
142 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 ...
5
votes
1answer
113 views

Undocumented WolframLibraryData::evaluateExpression

It seem there's this promising function in the callback object provided to MathLink C functions: ...
5
votes
1answer
109 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 ...
5
votes
1answer
91 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 ...
5
votes
0answers
48 views

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

As noted by kguler the Front End option: MessageOptions -> "MaxMessageCount" does not appear to have any affect on the number of times a Message is repeated ...
5
votes
0answers
102 views

SparseArray internal structure [duplicate]

According to the documentation: SparseArray is treated as a raw object by functions like AtomQ and for purposes of pattern ...