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
Collect Fourier series terms
How does strength of boric acid solution increase in presence of salicylic acid?
How to write a macro that is braces sensitive?
I’m planning on buying a laser printer but concerned about the life cycle of toner in the machine
Dragon forelimb placement
Why are 150k or 200k jobs considered good when there are 300k+ births a month?
How to find program name(s) of an installed package?
Fencing style for blades that can attack from a distance
Watching something be written to a file live with tail
How is the claim "I am in New York only if I am in America" the same as "If I am in New York, then I am in America?
Is it important to consider tone, melody, and musical form while writing a song?
US citizen flying to France today and my passport expires in less than 2 months
Why doesn't H₄O²⁺ exist?
Do I have a twin with permutated remainders?
Risk of getting Chronic Wasting Disease (CWD) in the United States?
Is it legal for company to use my work email to pretend I still work there?
What is the offset in a seaplane's hull?
Writing rule stating superpower from different root cause is bad writing
Languages that we cannot (dis)prove to be Context-Free
Smoothness of finite-dimensional functional calculus
Is a tag line useful on a cover?
Show that if two triangles built on parallel lines, with equal bases have the same perimeter only if they are congruent.
Can divisibility rules for digits be generalized to sum of digits
tikz: show 0 at the axis origin
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
$endgroup$
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
$endgroup$
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
5 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
$endgroup$
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 5 hours ago
RiccardoRiccardo
455
455
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
5 hours ago
add a comment |
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
5 hours ago
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
5 hours ago
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
5 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
$endgroup$
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
5 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
4 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
$endgroup$
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
5 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
4 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
$endgroup$
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
5 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
4 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
$endgroup$
is this what you are asking?
exp=3Cos[x]+5Cos[2x]+12Cos[3x];
Coefficient[exp,Cos[x #]]&/@Range@3
3, 5, 12
edited 4 hours ago
answered 5 hours ago
J42161217J42161217
4,248324
4,248324
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
5 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
4 hours ago
add a comment |
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
5 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
4 hours ago
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
5 hours ago
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
5 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
4 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
4 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
5 hours ago