Questions tagged [built-in-symbols]
Questions related to handling built-in symbols and functions, for example why they behave a certain (possibly unexpected) way.
167
questions
3
votes
0answers
55 views
PowerModList anomaly
This post is related to Not comprehending PowerMod. Here the issue is that PowerModList, in v. 12.1 finds no cube roots of 1 Mod 10^60 - 1:
...
2
votes
0answers
55 views
Who Defines Symbol \$MySource
When I start up a fresh executing Mathematica on my MacOS system and I open a Notebook file there is always one symbol defined in the Global context. This symbol is \$MySource and it points (via a ...
13
votes
2answers
534 views
Looping through all functions defined in Mathematica
Is there a way to loop through all the Functions (Elementary and Special functions) that exist in Mathematica?
I want to construct a table of some identities and maybe I can discover something ...
2
votes
0answers
49 views
How to override a built-in Mathematica function using its old version?
How can we override a Mathematica built-in function using itself in the definition?
For example, the DiracDelta function is not defined for complex numbers like:
<...
2
votes
0answers
38 views
How to Return All Mathematica Functions in a Domain
We know that Names["System*"] and WolframLanguageData[] both return the list of all System or "native" functions.
Is there a ...
6
votes
0answers
56 views
What is the meaning of “Introduced in …” and “Updated in …”?
I am looking at the documentation of a Mathematica function and at the bottom it says Introduced in 1988 (1.0) | Updated in 1996 (3.0).
What exactly does this ...
2
votes
1answer
55 views
About AbsoluteCorrelation
In my understanding, "the absolute correlation" is not such a common expression. Can anyone kindly explain the significance of the built-in symbol ...
1
vote
0answers
42 views
Semi-direct product and crossed product symbols
Does Mathematica have any symbols for the semi-direct product $\rtimes$ (or $\ltimes$) and the crossed product $\bowtie$? I have looked at the lists containing all symbols and couldn't find it there. ...
0
votes
0answers
32 views
After execution of simple list manipulation every expression turns dark blue and nothing is defined - how to debug
This question is related to this one in the sense that it uses the code from there.
What happens is best illustrated in the video here. When I run (* part 1 *) ...
4
votes
1answer
241 views
Wrap angle to [0,2pi[
Is there any built-in Mathematica function that wraps any angle in rad to the $[0,2\pi]$ domain?
So, for example:
wrapTo2pi[9Pi/4]=Pi/4
I know such function ...
2
votes
0answers
30 views
Pattern matching and NonCommutativeMultiply
I am trying to define some functions using NonCommutativeMultiply and I am experiencing some strange behavior.
Consider the following expression
...
0
votes
0answers
68 views
2
votes
0answers
73 views
Error Message for GrammarRules and GrammarApply
I have been struggling with the following issue regarding an irregularity when deploying and applying GrammarRules. Specifically, it often takes several failed attempts before the execution is ...
0
votes
0answers
20 views
InverseFunction cannot evaluate negative arguments
I have difficulty figuring out where my code fails. I want to obtain $\textbf{ry}$ which is the inverse function of rho (see below). When I input positive values for its argument, there's no problem. ...
3
votes
1answer
46 views
How to get the bit size (bit length) of an integer? [closed]
Suppose I have the integer 255, so 11111111 is its base 2 (bit) representation and the bit size of 255 is 8.
How can I calculate the bit size of a (big) integer in Mathematica?
Is there a built in ...
6
votes
2answers
108 views
Operators without built-in meaning are incompatible with parallel evaluation
Mathematica has a useful set of Operators Without Built-In Meanings. For example: CenterDot, CircleDot, ...
0
votes
0answers
78 views
How does Wolfram Language implement for enabling symbols to receive various forms of parameters? [duplicate]
How does the official implement a list/tuple of parameters that can be different in type and quantity as a whole?
After re-read @Szabolcs's and @MichaelE2's comments.
Finally, I accepted the ...
1
vote
3answers
115 views
Why do atomic objects like 56 have a head if they're supposed to be, well, atomic?
This question follows from this one I made earlier.
If you ask for FullForm[4] you will get back 4, and that's fine. ...
3
votes
2answers
126 views
What's the difference between 56 and Integer[56]? [duplicate]
I'm trying to grasp how to Wolfram Language uses symbolic expressions for everything. The concept of doing so makes sense to me, but the language doesn't behave how I predict.
I understand how ...
2
votes
1answer
128 views
Automated (lazy) method to make custom (key-input) shortcuts (not menu items) for letter-like symbols? [duplicate]
The Problem:
I don't know about you, but every time I am trying to do analytical work in Mma, it is rather difficult/cumbersome for me to type the following, here specifically for ...
0
votes
1answer
54 views
Symbolic Resultant Too Slow/Keeps Running
Evalutation of the following cell, which includes the symbolic resultant, of two univariate polynomials in $x$, with parameters $a,b,c$ for the first polynomial (of degree 4) and parameters $d,e,f,g$ ...
1
vote
1answer
61 views
JoinAcross with multiple associations
I would like to use JoinAcross to combine several lists of associations. Extending an example from the documentation, I'd like to do this:
...
0
votes
1answer
33 views
Apply Expand only to parts of expression
I have the following term:
term = (x AngleBracket[x (-x+Sum[v'[y[j]],j])])/AngleBracket[x^2]+Sum[v'[y[j]],j];
term //TeXForm
$\frac{x \left\langle x \left(\sum ...
5
votes
2answers
378 views
Underflow error General::munfl from E^x instead of Exp[x]
In contrast to earlier versions, Mathematica 11.3 and 12.0 generate lots of underflow errors from my code, e.g.
...
2
votes
1answer
124 views
How I can get glyphs from a fraktur font and use them as identifiers?
I would like to use the fraktur-S ($\LaTeX$: \mathfrak{S} $\mathfrak{S}$; Unicode: "U+1D516" 𝔖) as a variable name in Mathematica, but pasting the Unicode ...
2
votes
2answers
86 views
Replacing with pattern on built-in symbols?
I have:
f[a, b] /. f[x__] -> g[x, 0] // InputForm
(* Out: g[a, b, 0] *)
Which is what I expect, but when I use a built in symbol instead of ...
5
votes
1answer
87 views
How to reset a built-in symbol to its default definition?
I'm trying to add functionality to some of Mathematica's built-in functions in a package I'm building. I'm not trying to overwrite any functionality—just add it where it isn't already defined.
I ...
4
votes
2answers
114 views
DisplayForm problem with $\pi$ in FractionBox
The following line produces an output with the text "Pi" displayed instead of the symbol (greek letter) $\pi$.
Code line:
FractionBox[π,2] // DisplayForm
...
10
votes
1answer
243 views
Who or what is named character Andy?
I suspect \[Andy] was meant to represent a staff member, or at least a person of importance.
I tried the F1-"Wolfram Search", Wolfram|Alpha and a simple ...
10
votes
1answer
144 views
Why does Success[…][key] work and Failure[…][key] doesn't work?
I'm trying to figure out what is a quick way to add error reporting to my user defined functions. I was experimenting with Success and ...
3
votes
2answers
308 views
How to find the list of all the elementary functions in mathematica?
Is there any command to give me the list of all the embedded elementary functions in Mathematica like Cos Sin Cosh Sinh Log and so on?
3
votes
1answer
54 views
Is using Length more efficient than using === as stopping criterion?
I am using
NestWhileList[
f[#, elems]&,
pairs,
Length[#1]<Length[#2]&,
2, Infinity, -1
]
to generate all suitable subsets from ...
0
votes
0answers
95 views
Create library of custom functions [duplicate]
I have been trying to create a library of custom functions that I could just call at the start of every notebook.
For instance, say I want the following functions to be part of the Library, or even ...
6
votes
0answers
127 views
Not comprehending PowerMod
Bug introduced in 10.3 or earlier and persisting through 11.3.0 or later
The bug is not present in 10.0.
By definition, PowerMod[a, 1/r, m] finds a modular rth root of a mod m.
Here's a pair of ...
1
vote
2answers
72 views
CountryData and RailwayGaugeLengths
Looking to see how to extract out just the length for this search:
...
1
vote
1answer
40 views
From algebraic symbols to symbolic functions
i have a code which gives an output of this kind:
rrr=2*f+1;
Now i define a simple function:
f[x_]:=3*x+2;
How should i do ...
0
votes
0answers
45 views
How can I simplify expressions correctly?
the final output of my code gives this expression which i call ttt:
...
1
vote
1answer
77 views
Substitution of expressions for the output
I have a code which gives this kind of output :
W = Sum[v[j]*b[j], {j, 1, 3}];
AA = (v[1]*b[1] + v[2]*b[2] + v[3]*b[3])*2 + 3 ;
I know that if i want to ...
3
votes
2answers
182 views
Transferring DownValues
I have a code in which I define something like this:
cc[1, 2] = 1;
cc[2, 6] = 12;
cc[3, 7] = 3;
After some manipulation I define a sort of temporary variable ...
1
vote
1answer
46 views
4
votes
2answers
731 views
Replacing dot by *?
I am unable to replace dot by *.
Replace[a.a, .-> *]
Is there any solution to get this done?
5
votes
3answers
318 views
Power Function and Non Commutative Multiply
I'm trying to figure out the best way to define a Power function for non commutative multiply that retains some of the regular features of the ordinary power function. As of now, what I've been ...
3
votes
1answer
103 views
What does the $ sign do? [duplicate]
I saw this uses $, but it was not clear what does it do there.
...
6
votes
5answers
272 views
First evaluate in place all subexpressions matching pattern before substituting result
ReplaceAll[expr, {patt1:>rhs1, patt2:>rhs2, …}] works by looking for and making all possible replacements of subexpressions in ...
7
votes
3answers
527 views
Is there a built-in function to get the centroid of a table?
Suppose I have a table with some data that are 'lumped' around some central location, such as the dummy example
...
6
votes
2answers
211 views
How to create non-rectangular array with Array?
From the answers to this question, I learned that the recommended way to construct a symbolic sum of terms in an expression is to use Array.
But I'm having a ...
1
vote
1answer
51 views
Low level built-in function to transpose expression (not array) [closed]
I have an expression like this
F[G[1, b], G[3, y], G[4, y], G[5, u]]
that I would like to Transpose to obtain
...
7
votes
2answers
190 views
Constructing expressions using Sum vs Array[… Plus] vs Plus@@Table[…]
For constructing a sum of terms which are symbolic, I noticed that in addition to
...
7
votes
2answers
491 views
How to obtain list of Installed Packages loadable by Get (<<)
When Get["MyPackage`"] is executed, Mathematica looks for a package in $UserBaseDirectory/Applications, and it does, it will ...
0
votes
0answers
29 views
Built-in function to know if a list is inside another? [duplicate]
For example, if the function is f[a_List,b_List] then in f[{a,b,c},{a,b}] and ...
