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

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10
votes
2answers
252 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. ...
30
votes
5answers
1k views

What is the complete list of valid Front End Tokens?

What is the complete list of valid Front End Tokens? Preferably, by version number. Keywords: FrontEndToken, ...
20
votes
0answers
308 views

Graphics`Mesh`FindIntersections[ ] fails to detect intersections

Graphics`Mesh`FindIntersections[ ] is an undocumented function for, well, detecting intersections very efficiently. Take a look: ...
3
votes
0answers
53 views

LibraryLink: Asynchronous Examples

Inside the directory structure of LibraryLink there are several example files. Basically, they are divided in two types: Synchronous: demo.c, demo_error.c, ...
14
votes
1answer
246 views

Why is SatisfiabilityCount faster than SatisfiableQ?

Consider the following (large) Boolean expression, which arose in a SAT problem. (The expression is not satisfiable.) ...
106
votes
12answers
5k 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 ...
25
votes
1answer
454 views

In 10.1.0 BenchmarkPlot doesn't work?

Bug introduced in 10.1 This bug was resolved in 10.2.0, but another bug was introduced in 10.3.0 which persists through 10.3.1 or later In Mathematica 10.1.0 and 10.3.0 ...
17
votes
0answers
121 views

V10's TypeSystem - what are these function useful for? [closed]

The symbols in the TypeSystem` context are clearly used for working with Datasets, but they seem powerful. I was hoping that someone could help explain how they work and is they are useful for ...
7
votes
1answer
97 views

Ways to obtain a BoxObject

Is there any way to get a BoxObject, except with EvaluationBox or ParentBox? So usually one ...
9
votes
1answer
187 views

What is FrontEnd`AttachedCell?

Perhaps it's not accessible from the front end, but what is this so-called attached cell? ...
16
votes
2answers
275 views

How to know the usage of undocumented function like LinearAlgebra`BLAS?

BLAS is not documented in mathematica. Using ?LinearAlgebra`BLAS`* gives But None of the function has a detailed usage information Click any of the ...
7
votes
3answers
133 views

How can I know if a pattern corresponds to a string pattern?

What would be the best way to detect if a pattern corresponds to a string pattern ? An invalid string pattern p would lead to an error in ...
8
votes
1answer
402 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 ...
4
votes
0answers
144 views

strange timing result of LinearAlgebra`BLAS` in mathematica? [closed]

BLAS is short for "Basic Linear Algebra Subprograms". It is a famous collection of routines for doing linear algebra. I just know from Oleksandr R. that mma can directly call BLAS under the context ...
4
votes
0answers
77 views

“ClosingActions” option for FrontEnd`AttachCell [duplicate]

I'm looking to find the possible values for the ClosingActions options FrontEndAttachCell. I have found ...
119
votes
6answers
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 ...
17
votes
1answer
259 views

What pseudo-random number generators are available to Mathematica users?

One would think I should be able answer the question I pose in the title for myself by reading the Documentation Center article ref/SeedRandom, but it's not so simple. That article does give a list ...
1
vote
0answers
38 views

Documentation for undocumented symbols RandomMatrix and SharingList?

In version 10.2, there are symbols Random`RandomMatrix and System`SharingList. I tried some experiments of my own, but could ...
9
votes
0answers
75 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 ...
10
votes
1answer
247 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: ...
16
votes
1answer
196 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: ...
2
votes
0answers
65 views

Undocumented function SumOfSquaresReps

There is an interesting (and documented) number-theoretic function in MMA called PowersRepresentations[$n$, $k$, $p$]. It gives the distinct representations of the integer $n$ as a sum of $k$ ...
2
votes
1answer
101 views

What Method values are available for Plot?

The Documentation Center article on Plot notes under Details and Options that Method is one of the options for ...
15
votes
1answer
283 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 ...
11
votes
2answers
201 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
173 views

Enigmatic message about MaxBend

Referring to the method I proposed for Problem with ParametricPlot Mathematica 10.0.2 throws an enigmatic error message: ...
23
votes
2answers
735 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. ...
11
votes
2answers
195 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 ...
38
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
138 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
74 views

Can Someone Please Explain Internal`$SameQTolerance?

If I input Internal`$SameQTolerance (* output = 0.30103 *) which is the approximation of Log[10,2], or ...
15
votes
1answer
368 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
171 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
86 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", ...
11
votes
1answer
252 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 ...
14
votes
2answers
435 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 ...
9
votes
1answer
161 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
244 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 ...
25
votes
1answer
484 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: ...
25
votes
1answer
640 views

Undocumented form for Extract

Prompted by a comments conversation here, here's an interesting (and often performance enhancing) use of Extract: ...
11
votes
2answers
307 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
338 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
40 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
1k 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
219 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 ...
41
votes
1answer
973 views

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

I'm curious what's inside the InterpolationFunction object? For example: ...
5
votes
1answer
92 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
366 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
51 views

Undocumented options for “BalloonEmbedding” in GraphLayout

From an error message, I see some options of the BalloonEmbedding method for GraphLayout: ...