Collect Fourier series termsCoefficientList for exponentials termsAssign Coefficients of Exponential...
the place where lots of roads meet
A newer friend of my brother's gave him a load of baseball cards that are supposedly extremely valuable. Is this a scam?
Is it tax fraud for an individual to declare non-taxable revenue as taxable income? (US tax laws)
Show that if two triangles built on parallel lines, with equal bases have the same perimeter only if they are congruent.
Example of a continuous function that don't have a continuous extension
Why doesn't H₄O²⁺ exist?
Problem of parity - Can we draw a closed path made up of 20 line segments...
The use of multiple foreign keys on same column in SQL Server
Is this a crack on the carbon frame?
Maximum likelihood parameters deviate from posterior distributions
How old can references or sources in a thesis be?
Theorems that impeded progress
Is it unprofessional to ask if a job posting on GlassDoor is real?
Dragon forelimb placement
Why doesn't Newton's third law mean a person bounces back to where they started when they hit the ground?
What is the word for reserving something for yourself before others do?
Can a Warlock become Neutral Good?
Smoothness of finite-dimensional functional calculus
LaTeX closing $ signs makes cursor jump
Can divisibility rules for digits be generalized to sum of digits
How do we improve the relationship with a client software team that performs poorly and is becoming less collaborative?
What are these boxed doors outside store fronts in New York?
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?
What's the output of a record cartridge playing an out-of-speed record
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 $mathrm{Cos}[n x]$ 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 12 hours ago
RiccardoRiccardo
455
$endgroup$
add a comment |
$begingroup$
Is there a way to make mathematica automatically collect terms like $mathrm{Cos}[n x]$ 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 12 hours ago
RiccardoRiccardo
455
$endgroup$
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
12 hours ago
$begingroup$
TryCollect[exp /. Cos[x n_.] -> x^n, x]/. x^n_. -> Cos[n x].
$endgroup$
– Somos
3 hours ago
add a comment |
$begingroup$
Is there a way to make mathematica automatically collect terms like $mathrm{Cos}[n x]$ 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 12 hours ago
RiccardoRiccardo
455
$endgroup$
Is there a way to make mathematica automatically collect terms like $mathrm{Cos}[n x]$ 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 12 hours ago
RiccardoRiccardo
455
asked 12 hours ago
RiccardoRiccardo
455
asked 12 hours ago
RiccardoRiccardo
455
asked 12 hours ago
RiccardoRiccardo
455
asked 12 hours ago
RiccardoRiccardo
455
455
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
12 hours ago
$begingroup$
TryCollect[exp /. Cos[x n_.] -> x^n, x]/. x^n_. -> Cos[n x].
$endgroup$
– Somos
3 hours ago
add a comment |
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
12 hours ago
$begingroup$
TryCollect[exp /. Cos[x n_.] -> x^n, x]/. x^n_. -> Cos[n x].
$endgroup$
– Somos
3 hours ago
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
12 hours ago
$begingroup$
can you show your initial code, so we try to help!
$endgroup$
– Alrubaie
12 hours ago
$begingroup$
Try
Collect[exp /. Cos[x n_.] -> x^n, x]/. x^n_. -> Cos[n x].$endgroup$
– Somos
3 hours ago
$begingroup$
Try
Collect[exp /. Cos[x n_.] -> x^n, x]/. x^n_. -> Cos[n x].$endgroup$
– Somos
3 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 12 hours ago
J42161217J42161217
4,248324
$endgroup$
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
12 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
12 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 12 hours ago
J42161217J42161217
4,248324
$endgroup$
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
12 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
12 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 12 hours ago
J42161217J42161217
4,248324
$endgroup$
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
12 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
12 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 12 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 12 hours ago
J42161217J42161217
4,248324
edited 12 hours ago
answered 12 hours ago
J42161217J42161217
4,248324
answered 12 hours ago
J42161217J42161217
4,248324
answered 12 hours ago
J42161217J42161217
4,248324
4,248324
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
12 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
12 hours ago
add a comment |
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
12 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
12 hours ago
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
12 hours ago
$begingroup$
Yes, thanks this is it!
$endgroup$
– Riccardo
12 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
12 hours ago
$begingroup$
you are welcome!
$endgroup$
– J42161217
12 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
12 hours ago
$begingroup$
Try
Collect[exp /. Cos[x n_.] -> x^n, x]/. x^n_. -> Cos[n x].$endgroup$
– Somos
3 hours ago