Collect Fourier series termsCoefficientList for exponentials termsAssign Coefficients of Exponential SeriesConstruct Matrices from Coefficient of f[x] in Finite Fields?collect a multivariate polynomial, and simplify all coefficientsCollect terms with same-kind coefficients and factor exponential based on thatCollect terms in Fourier TransformExtracting coefficients from sumExtract terms containing a specific symbol from an expressionPlotting double seriesRearranging similar terms in an equation
Can an x86 CPU running in real mode be considered to be basically an 8086 CPU?
What are the differences between the usage of 'it' and 'they'?
How could an uplifted falcon's brain work?
Watching something be written to a file live with tail
How to write a macro that is braces sensitive?
Today is the Center
Do VLANs within a subnet need to have their own subnet for router on a stick?
LaTeX closing $ signs makes cursor jump
Why are electrically insulating heatsinks so rare? Is it just cost?
The use of multiple foreign keys on same column in SQL Server
A newer friend of my brother's gave him a load of baseball cards that are supposedly extremely valuable. Is this a scam?
What is the offset in a seaplane's hull?
Finding angle with pure Geometry.
Is a tag line useful on a cover?
Why did the Germans forbid the possession of pet pigeons in Rostov-on-Don in 1941?
How does one intimidate enemies without having the capacity for violence?
What do the dots in this tr command do: tr .............A-Z A-ZA-Z <<< "JVPQBOV" (with 13 dots)
Theorems that impeded progress
How to format long polynomial?
How is it possible to have an ability score that is less than 3?
How can bays and straits be determined in a procedurally generated map?
can i play a electric guitar through a bass amp?
Arthur Somervell: 1000 Exercises - Meaning of this notation
What are these boxed doors outside store fronts in New York?
Collect Fourier series terms
CoefficientList for exponentials termsAssign Coefficients of Exponential SeriesConstruct Matrices from Coefficient of f[x] in Finite Fields?collect a multivariate polynomial, and simplify all coefficientsCollect terms with same-kind coefficients and factor exponential based on thatCollect terms in Fourier TransformExtracting coefficients from sumExtract terms containing a specific symbol from an expressionPlotting double seriesRearranging similar terms in an equation
$begingroup$
Is there a way to make mathematica automatically collect terms like $mathrmCos[n x]$ with $n=1,2,3...$?
I have a long expression coming out of a Fourier series where I see a lot of $Cos[x],Cos[2 x],Cos[3 x]$ and so on, but Simplify is very inefficient. I would like mathematica to automatically collect all coefficients of the various Cos[n x] without having to do it manually for each one of them.
coefficients
asked 7 hours ago
RiccardoRiccardo
455
$endgroup$
add a comment |
$begingroup$
Is there a way to make mathematica automatically collect terms like $mathrmCos[n x]$ with $n=1,2,3...$?
I have a long expression coming out of a Fourier series where I see a lot of $Cos[x],Cos[2 x],Cos[3 x]$ and so on, but Simplify is very inefficient. I would like mathematica to automatically collect all coefficients of the various Cos[n x] without having to do it manually for each one of them.
coefficients
asked 7 hours ago
RiccardoRiccardo
455
$endgroup$
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
6 hours ago
add a comment |
$begingroup$
Is there a way to make mathematica automatically collect terms like $mathrmCos[n x]$ with $n=1,2,3...$?
I have a long expression coming out of a Fourier series where I see a lot of $Cos[x],Cos[2 x],Cos[3 x]$ and so on, but Simplify is very inefficient. I would like mathematica to automatically collect all coefficients of the various Cos[n x] without having to do it manually for each one of them.
coefficients
asked 7 hours ago
RiccardoRiccardo
455
$endgroup$
Is there a way to make mathematica automatically collect terms like $mathrmCos[n x]$ with $n=1,2,3...$?
I have a long expression coming out of a Fourier series where I see a lot of $Cos[x],Cos[2 x],Cos[3 x]$ and so on, but Simplify is very inefficient. I would like mathematica to automatically collect all coefficients of the various Cos[n x] without having to do it manually for each one of them.
coefficients
coefficients
asked 7 hours ago
RiccardoRiccardo
455
asked 7 hours ago
RiccardoRiccardo
455
asked 7 hours ago
RiccardoRiccardo
455
asked 7 hours ago
RiccardoRiccardo
455
asked 7 hours ago
RiccardoRiccardo
455
455
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
6 hours ago
add a comment |
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
6 hours ago
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
6 hours ago
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
6 hours ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
is this what you are asking?
exp=3Cos[x]+5Cos[2x]+12Cos[3x];
Coefficient[exp,Cos[x #]]&/@Range@3
3, 5, 12
answered 6 hours ago
J42161217J42161217
4,248324
$endgroup$
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
6 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
6 hours ago
add a comment |
Your Answer
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "387"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f194735%2fcollect-fourier-series-terms%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
is this what you are asking?
exp=3Cos[x]+5Cos[2x]+12Cos[3x];
Coefficient[exp,Cos[x #]]&/@Range@3
3, 5, 12
answered 6 hours ago
J42161217J42161217
4,248324
$endgroup$
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
6 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
6 hours ago
add a comment |
$begingroup$
is this what you are asking?
exp=3Cos[x]+5Cos[2x]+12Cos[3x];
Coefficient[exp,Cos[x #]]&/@Range@3
3, 5, 12
answered 6 hours ago
J42161217J42161217
4,248324
$endgroup$
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
6 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
6 hours ago
add a comment |
$begingroup$
is this what you are asking?
exp=3Cos[x]+5Cos[2x]+12Cos[3x];
Coefficient[exp,Cos[x #]]&/@Range@3
3, 5, 12
answered 6 hours ago
J42161217J42161217
4,248324
$endgroup$
is this what you are asking?
exp=3Cos[x]+5Cos[2x]+12Cos[3x];
Coefficient[exp,Cos[x #]]&/@Range@3
3, 5, 12
answered 6 hours ago
J42161217J42161217
4,248324
edited 6 hours ago
answered 6 hours ago
J42161217J42161217
4,248324
answered 6 hours ago
J42161217J42161217
4,248324
answered 6 hours ago
J42161217J42161217
4,248324
4,248324
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
6 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
6 hours ago
add a comment |
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
6 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
6 hours ago
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
6 hours ago
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
6 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
6 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
6 hours ago
add a comment |
Thanks for contributing an answer to Mathematica Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmathematica.stackexchange.com%2fquestions%2f194735%2fcollect-fourier-series-terms%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
6 hours ago