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Sep
7 |
awarded | Popular Question |
Sep
24 |
awarded | Autobiographer |
Jan
12 |
comment |
RFC for definite integral connection to second derivative
Thanks Gerald I appreciate your help |
Jan
12 |
accepted | RFC for definite integral connection to second derivative |
Jan
12 |
comment |
RFC for definite integral connection to second derivative
I got $-min(x,t)$ |
Jan
12 |
comment |
RFC for definite integral connection to second derivative
can you express it in terms of max/min? |
Jan
12 |
comment |
RFC for definite integral connection to second derivative
I dont understand where $f$ comes into the picture |
Jan
12 |
comment |
RFC for definite integral connection to second derivative
so maybe I didn't get it.. doesn't Dirac and Heavyside discontinuous? |
Jan
12 |
awarded | Critic |
Jan
12 |
comment |
RFC for definite integral connection to second derivative
Hint: $g$ is continuous. |
Jan
12 |
revised |
RFC for definite integral connection to second derivative
edited body |
Jan
12 |
asked | RFC for definite integral connection to second derivative |
Jan
9 |
revised |
Elaborating Mercer's theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$
deleted 139 characters in body; deleted 252 characters in body |
Jan
9 |
revised |
Elaborating Mercer's theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$
added 51 characters in body |
Jan
9 |
revised |
Elaborating Mercer's theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$
added 254 characters in body; added 88 characters in body |
Jan
9 |
accepted | Elaborating Mercer's theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$ |
Jan
9 |
comment |
Elaborating Mercer's theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$
now it really works :) |
Jan
9 |
comment |
Elaborating Mercer's theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$
Thanks for your help! Unfortunatly, this doesn't work as well. Here's my code: #include <iostream> #include <cmath> using namespace std; long double phi(long double x, long double n, long double t = 2) { static long double pi = acos((long double)-1); return sin((n+.5)*pix/t)*sqrt(t*2.)/(pi*(n+.5)); } int main(int, char*) { long double sum = 0, x=.8,y=.3; for (long double n = 1;n< 100000;n++) { sum += phi(x,n)*phi(y,n); if (((int)n)%1000) cout<<n<<' '<<sum<<endl; } return 0; } |
Jan
8 |
comment |
Elaborating Mercer's theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$
here's my code: ## #include <iostream> #include <cmath> using namespace std; long double phi(double x, double n) { return sin(nx)/n; } int main(int, char*) { long double sum = 0, x=8,y=1; for (long double n = 1;n< 100000;n++) { sum += phi(x,n)*phi(y,n); if (((int)n)%1000) cout<<n<<' '<<sum<<endl; } return 0; } ## |
Jan
8 |
comment |
Elaborating Mercer's theorem (RKHS) on Cameron-Martin space $k(x,y)=\min(x,y)$
wow that's amazing. you actually got $ \min(x,y)=\sum_{n=1}^\infty n^{-2}\sin nx\sin ny$? |