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Hello, I get strange behaviour on the following function. It persists when changing constants, but is not present for very simple functions, so any hint for a limit would be appreciated.

Here comes the important and irritating part: $f4 = f2(a=3,N=0.7); f4$ (e^(-0.714285714285714(y - 3)^2) + e^(-0.714285714285714(y + 3)^2))*y^2 $Z = integral(f4,y,-100,100); Z.n(digits=5)$ 9.7000 $F = integrate(f4,y); H = F(y=10) - F(y=-10); H.n(digits=5)$ -1.1562e-14

I guess it is not important, but the part mentioned above is prepared with $f1 = exp(-1/2(y-a)^2/N)+exp(-1/2(y+a)^2/N); f1$ e^(-1/2(a - y)^2/N) + e^(-1/2(a + y)^2/N) $f2 = f1y^2; f2$ (e^(-1/2(a - y)^2/N) + e^(-1/2(a + y)^2/N))y^2

Hello, I get strange behaviour on the following function. It persists when changing constants, but is not present for very simple functions, so any hint for a limit would be appreciated.

Here comes the important and irritating part: part:

$f4 = f2(a=3,N=0.7); f4$ (e^(-0.714285714285714f4$

$(e^(-0.714285714285714(y - 3)^2) + e^(-0.714285714285714(y + 3)^2))*y^2 3)^2))*y^2$

$Z = integral(f4,y,-100,100); Z.n(digits=5)$ 9.7000 Z.n(digits=5)$

$9.7000$

$F = integrate(f4,y); H = F(y=10) - F(y=-10); H.n(digits=5)$ -1.1562e-14

H.n(digits=5)$

$-1.1562e-14$

I guess it is not important, but the part mentioned above is prepared with $f1 = exp(-1/2(y-a)^2/N)+exp(-1/2(y+a)^2/N); f1$ e^(-1/2(a - y)^2/N) + e^(-1/2(a + y)^2/N) $f2 = f1y^2; f2$ (e^(-1/2(a - y)^2/N) + e^(-1/2(a + y)^2/N))y^2

Hello, I get strange behaviour on the following function. It persists when changing constants, but is not present for very simple functions, so any hint for a limit would be appreciated.

Here comes the important and irritating part:

$f4 = f2(a=3,N=0.7); f4$

$(e^(-0.714285714285714(y - 3)^2) + e^(-0.714285714285714(y + + 3)^2))*y^2$

$Z = integral(f4,y,-100,100); Z.n(digits=5)$

$9.7000$

$F = integrate(f4,y); H = F(y=10) - F(y=-10); H.n(digits=5)$

$-1.1562e-14$

I guess it is not important, but the part mentioned above is prepared with $f1 = exp(-1/2(y-a)^2/N)+exp(-1/2(y+a)^2/N); f1$ e^(-1/2(a - y)^2/N) + e^(-1/2(a + y)^2/N) $f2 = f1y^2; f2$ (e^(-1/2(a - y)^2/N) + e^(-1/2(a + y)^2/N))y^2

Hello, I get strange behaviour on the following function. It persists when changing constants, but is not present for very simple functions, so any hint for a limit would be appreciated.

Here comes the important and irritating part:

$f4 = f2(a=3,N=0.7); f4$

$(e^(-0.714285714285714(e^(-0.714285714285714(y - 3)^2) + e^(-0.714285714285714(y + 3)^2))*y^2$3)^2))*y^2

$Z = integral(f4,y,-100,100); Z.n(digits=5)$

$9.7000$9.7000

$F = integrate(f4,y); H = F(y=10) - F(y=-10); H.n(digits=5)$

$-1.1562e-14$-1.1562e-14

I guess it is not important, clear even so, but here is the part before what is mentioned above is prepared with above:

$f1 = exp(-1/2(y-a)^2/N)+exp(-1/2(y+a)^2/N); f1$ f1$

e^(-1/2(a - y)^2/N) + e^(-1/2(a + y)^2/N) y)^2/N)

$f2 = f1y^2; f2$ f1*y^2; f2$

(e^(-1/2(a - y)^2/N) + e^(-1/2(a + y)^2/N))y^2

(a + y)^2/N))*y^2

Hello, I get strange behaviour on the following function. It persists when changing constants, but is not present for very simple functions, so any hint for a limit would be appreciated.

Here comes the important and irritating part:

$f4 = f2(a=3,N=0.7); f4$

(e^(-0.714285714285714(y - 3)^2) + e^(-0.714285714285714(y + 3)^2))*y^2

$Z = integral(f4,y,-100,100); Z.n(digits=5)$

9.7000

$F = integrate(f4,y); H = F(y=10) - F(y=-10); H.n(digits=5)$

-1.1562e-14-2.4622e-2917

I guess it is clear even so, but here is the part before what is mentioned above:

$f1 = exp(-1/2(y-a)^2/N)+exp(-1/2(y+a)^2/N); f1$

e^(-1/2(a - y)^2/N) + e^(-1/2(a + y)^2/N)

$f2 = f1*y^2; f2$

(e^(-1/2(a - y)^2/N) + e^(-1/2(a + y)^2/N))*y^2

$f4 = f2(a=3,N=0.7); f4$

(e^(-0.714285714285714(y - 3)^2) + e^(-0.714285714285714(y + 3)^2))*y^2

Hello, I get strange behaviour on the following function. It persists when changing constants, but is not present for very simple functions, so any hint for a limit would be appreciated.

Hello, I get strange behaviour on the following function. It persists when changing constants, but is not present for very simple functions, so any hint for a limit would be appreciated.

$f1 = exp(-1/2(y-a)^2/N)+exp(-1/2(y+a)^2/N); f1$

$f2 = f1*y^2; f2$

$f4 = f2(a=3,N=0.7); f4$

(e^(-0.714285714285714(y - 3)^2) + e^(-0.714285714285714(y + 3)^2))*y^2

$Z = integral(f4,y,-100,100); Z.n(digits=5)$

9.7000

$F = integrate(f4,y); H = F(y=10) F(y=100) - F(y=-10); F(y=-100); H.n(digits=5)$

-2.4622e-2917

As you see, I get right results when using the definite integral, while calculation the indefinite integral and manually evaluating it gains wrong results.

By the way, when integrating from -inf to inf, I should get N+a^2. Is there any way to see this?

Hello, I get strange behaviour on the following function. It persists when changing constants, but is not present for very simple functions, so any hint for a limit would be appreciated.

Hello, I get strange behaviour on the following function. It persists when changing constants, but is not present for very simple functions, so any hint for a limit would be appreciated.

 f1 = exp(-1/2(y-a)^2/N)+exp(-1/2(y+a)^2/N); f1
exp(-1/2*(y-a)^2/N)+exp(-1/2*(y+a)^2/N); f1
  
f2 = f1*y^2; f2f2
  
f4 = f2(a=3,N=0.7); f4
 
 
(e^(-0.714285714285714(y f4
>(e^(-0.714285714285714*(y - 3)^2) + e^(-0.714285714285714(y e^(-0.714285714285714*(y + 3)^2))*y^2
3)^2))*y^2
 
 
Z = integral(f4,y,-100,100); Z.n(digits=5)Z.n(digits=5)
>9.7000
  
 
9.7000
 
 
F = integrate(f4,y); H = F(y=100) - F(y=-100); H.n(digits=5)
 H.n(digits=5)
>-2.4622e-2917
 
-2.4622e-2917