Find harmonic of order $3$ for $2pi$ periodic funciton $f(x) = pi -|x|$ The 2019 Stack Overflow Developer Survey Results Are InIs there any way to use a Fourier Transform or a variant to find periodic increases?Create periodic function from combining non-periodic functionsWhy is periodic harmonic analysis only possible with sines?Why different results for Fourier transforms?Numerical solution of heat equation on periodic domainIf $f: mathbb R to mathbb R$ is continuous and $2pi$-periodic, then $f in L^2[-pi, pi]$Orthogonal function basis for both periodic and non-periodic functions.Applications of Euclidean harmonic analysis to geometry?Can any periodic function be represented as a trigonometric series?Why are these functions periodic?

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Find harmonic of order $3$ for $2pi$ periodic funciton $f(x) = pi -|x|$



The 2019 Stack Overflow Developer Survey Results Are InIs there any way to use a Fourier Transform or a variant to find periodic increases?Create periodic function from combining non-periodic functionsWhy is periodic harmonic analysis only possible with sines?Why different results for Fourier transforms?Numerical solution of heat equation on periodic domainIf $f: mathbb R to mathbb R$ is continuous and $2pi$-periodic, then $f in L^2[-pi, pi]$Orthogonal function basis for both periodic and non-periodic functions.Applications of Euclidean harmonic analysis to geometry?Can any periodic function be represented as a trigonometric series?Why are these functions periodic?










0












$begingroup$



Let $f$ be a $2pi$ periodic function such that $f(x) = pi -|x|$ in
$[-pi,pi]$. Find its harmonic of order $3$




I'm learning about orthogonal families of polynmials and discrete polynomial approximations by fourier functions. I've came upon this exercise, but I don't know what an harmonic of order $3$ means.










share|cite|improve this question









$endgroup$











  • $begingroup$
    So you have heard of Fourier series. Find the Fourier series of $f$ with $n=3$.
    $endgroup$
    – David
    Apr 8 at 4:38















0












$begingroup$



Let $f$ be a $2pi$ periodic function such that $f(x) = pi -|x|$ in
$[-pi,pi]$. Find its harmonic of order $3$




I'm learning about orthogonal families of polynmials and discrete polynomial approximations by fourier functions. I've came upon this exercise, but I don't know what an harmonic of order $3$ means.










share|cite|improve this question









$endgroup$











  • $begingroup$
    So you have heard of Fourier series. Find the Fourier series of $f$ with $n=3$.
    $endgroup$
    – David
    Apr 8 at 4:38













0












0








0





$begingroup$



Let $f$ be a $2pi$ periodic function such that $f(x) = pi -|x|$ in
$[-pi,pi]$. Find its harmonic of order $3$




I'm learning about orthogonal families of polynmials and discrete polynomial approximations by fourier functions. I've came upon this exercise, but I don't know what an harmonic of order $3$ means.










share|cite|improve this question









$endgroup$





Let $f$ be a $2pi$ periodic function such that $f(x) = pi -|x|$ in
$[-pi,pi]$. Find its harmonic of order $3$




I'm learning about orthogonal families of polynmials and discrete polynomial approximations by fourier functions. I've came upon this exercise, but I don't know what an harmonic of order $3$ means.







linear-algebra numerical-methods fourier-analysis numerical-linear-algebra






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Apr 7 at 20:26









Guerlando OCsGuerlando OCs

10321856




10321856











  • $begingroup$
    So you have heard of Fourier series. Find the Fourier series of $f$ with $n=3$.
    $endgroup$
    – David
    Apr 8 at 4:38
















  • $begingroup$
    So you have heard of Fourier series. Find the Fourier series of $f$ with $n=3$.
    $endgroup$
    – David
    Apr 8 at 4:38















$begingroup$
So you have heard of Fourier series. Find the Fourier series of $f$ with $n=3$.
$endgroup$
– David
Apr 8 at 4:38




$begingroup$
So you have heard of Fourier series. Find the Fourier series of $f$ with $n=3$.
$endgroup$
– David
Apr 8 at 4:38










0






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