“Unable to prove `expr` literally…” error when trying to compare a symbol inside a function











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1
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I just started learning MATLAB and I'm trying to normalize a bump function given by



function b = bump(x)
region1 = abs(x) < 1
b(region1) = (exp(-1./(1 - x(region1).^2)))
region2 = abs(x) >= 1
b(region2) = 0
end


To do this, I need to divide by the definite integral from -1 to 1. However, when I input



syms x;
int(bump(x), -1, 1)


I get a long error message, which says




Error using symengine (line 58)

Unable to prove 'abs(x) < 1' literally. To test the statement mathematically, use isAlways.



Error in sym/subsindex (line 1554)

X = find(mupadmex('symobj::logical',A.s,9)) - 1;



Error in sym>privformat (line 2357)

x = subsindex(x)+1;



Error in sym/subsref (line 1578)

[inds{k},refs{k}] = privformat(inds{k});



Error in bump (line 3)

b(region1) = (exp(-1./(1 - x(region1).^2)))




I tried replacing abs(x)<1 with what I think is the suggested isAlways(abs(x)<1), and that removes the error, although it gives the wrong answer (it says the integral is zero).



I don't understand what does the error message means.










share|improve this question
























  • Are you using symbolic objects on purpose?
    – Eitan T
    Sep 23 '13 at 19:03










  • @EitanT: if he's just learning MATLAB, then I'd guess "no".
    – nneonneo
    Sep 23 '13 at 19:04










  • @nneonneo I'm trying not to put words in the OP's mouth, that's why I'm asking.
    – Eitan T
    Sep 23 '13 at 19:06










  • Eitan is right. My learning MATLAB consists of my Googling "matlab integrate" and seeing what comes up. So, this probably isn't what I want.
    – Alexander Sibelius
    Sep 23 '13 at 19:08















up vote
1
down vote

favorite












I just started learning MATLAB and I'm trying to normalize a bump function given by



function b = bump(x)
region1 = abs(x) < 1
b(region1) = (exp(-1./(1 - x(region1).^2)))
region2 = abs(x) >= 1
b(region2) = 0
end


To do this, I need to divide by the definite integral from -1 to 1. However, when I input



syms x;
int(bump(x), -1, 1)


I get a long error message, which says




Error using symengine (line 58)

Unable to prove 'abs(x) < 1' literally. To test the statement mathematically, use isAlways.



Error in sym/subsindex (line 1554)

X = find(mupadmex('symobj::logical',A.s,9)) - 1;



Error in sym>privformat (line 2357)

x = subsindex(x)+1;



Error in sym/subsref (line 1578)

[inds{k},refs{k}] = privformat(inds{k});



Error in bump (line 3)

b(region1) = (exp(-1./(1 - x(region1).^2)))




I tried replacing abs(x)<1 with what I think is the suggested isAlways(abs(x)<1), and that removes the error, although it gives the wrong answer (it says the integral is zero).



I don't understand what does the error message means.










share|improve this question
























  • Are you using symbolic objects on purpose?
    – Eitan T
    Sep 23 '13 at 19:03










  • @EitanT: if he's just learning MATLAB, then I'd guess "no".
    – nneonneo
    Sep 23 '13 at 19:04










  • @nneonneo I'm trying not to put words in the OP's mouth, that's why I'm asking.
    – Eitan T
    Sep 23 '13 at 19:06










  • Eitan is right. My learning MATLAB consists of my Googling "matlab integrate" and seeing what comes up. So, this probably isn't what I want.
    – Alexander Sibelius
    Sep 23 '13 at 19:08













up vote
1
down vote

favorite









up vote
1
down vote

favorite











I just started learning MATLAB and I'm trying to normalize a bump function given by



function b = bump(x)
region1 = abs(x) < 1
b(region1) = (exp(-1./(1 - x(region1).^2)))
region2 = abs(x) >= 1
b(region2) = 0
end


To do this, I need to divide by the definite integral from -1 to 1. However, when I input



syms x;
int(bump(x), -1, 1)


I get a long error message, which says




Error using symengine (line 58)

Unable to prove 'abs(x) < 1' literally. To test the statement mathematically, use isAlways.



Error in sym/subsindex (line 1554)

X = find(mupadmex('symobj::logical',A.s,9)) - 1;



Error in sym>privformat (line 2357)

x = subsindex(x)+1;



Error in sym/subsref (line 1578)

[inds{k},refs{k}] = privformat(inds{k});



Error in bump (line 3)

b(region1) = (exp(-1./(1 - x(region1).^2)))




I tried replacing abs(x)<1 with what I think is the suggested isAlways(abs(x)<1), and that removes the error, although it gives the wrong answer (it says the integral is zero).



I don't understand what does the error message means.










share|improve this question















I just started learning MATLAB and I'm trying to normalize a bump function given by



function b = bump(x)
region1 = abs(x) < 1
b(region1) = (exp(-1./(1 - x(region1).^2)))
region2 = abs(x) >= 1
b(region2) = 0
end


To do this, I need to divide by the definite integral from -1 to 1. However, when I input



syms x;
int(bump(x), -1, 1)


I get a long error message, which says




Error using symengine (line 58)

Unable to prove 'abs(x) < 1' literally. To test the statement mathematically, use isAlways.



Error in sym/subsindex (line 1554)

X = find(mupadmex('symobj::logical',A.s,9)) - 1;



Error in sym>privformat (line 2357)

x = subsindex(x)+1;



Error in sym/subsref (line 1578)

[inds{k},refs{k}] = privformat(inds{k});



Error in bump (line 3)

b(region1) = (exp(-1./(1 - x(region1).^2)))




I tried replacing abs(x)<1 with what I think is the suggested isAlways(abs(x)<1), and that removes the error, although it gives the wrong answer (it says the integral is zero).



I don't understand what does the error message means.







matlab symbolic-math






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share|improve this question








edited Nov 21 at 11:27









Bebs

6413923




6413923










asked Sep 23 '13 at 18:46









Alexander Sibelius

1204




1204












  • Are you using symbolic objects on purpose?
    – Eitan T
    Sep 23 '13 at 19:03










  • @EitanT: if he's just learning MATLAB, then I'd guess "no".
    – nneonneo
    Sep 23 '13 at 19:04










  • @nneonneo I'm trying not to put words in the OP's mouth, that's why I'm asking.
    – Eitan T
    Sep 23 '13 at 19:06










  • Eitan is right. My learning MATLAB consists of my Googling "matlab integrate" and seeing what comes up. So, this probably isn't what I want.
    – Alexander Sibelius
    Sep 23 '13 at 19:08


















  • Are you using symbolic objects on purpose?
    – Eitan T
    Sep 23 '13 at 19:03










  • @EitanT: if he's just learning MATLAB, then I'd guess "no".
    – nneonneo
    Sep 23 '13 at 19:04










  • @nneonneo I'm trying not to put words in the OP's mouth, that's why I'm asking.
    – Eitan T
    Sep 23 '13 at 19:06










  • Eitan is right. My learning MATLAB consists of my Googling "matlab integrate" and seeing what comes up. So, this probably isn't what I want.
    – Alexander Sibelius
    Sep 23 '13 at 19:08
















Are you using symbolic objects on purpose?
– Eitan T
Sep 23 '13 at 19:03




Are you using symbolic objects on purpose?
– Eitan T
Sep 23 '13 at 19:03












@EitanT: if he's just learning MATLAB, then I'd guess "no".
– nneonneo
Sep 23 '13 at 19:04




@EitanT: if he's just learning MATLAB, then I'd guess "no".
– nneonneo
Sep 23 '13 at 19:04












@nneonneo I'm trying not to put words in the OP's mouth, that's why I'm asking.
– Eitan T
Sep 23 '13 at 19:06




@nneonneo I'm trying not to put words in the OP's mouth, that's why I'm asking.
– Eitan T
Sep 23 '13 at 19:06












Eitan is right. My learning MATLAB consists of my Googling "matlab integrate" and seeing what comes up. So, this probably isn't what I want.
– Alexander Sibelius
Sep 23 '13 at 19:08




Eitan is right. My learning MATLAB consists of my Googling "matlab integrate" and seeing what comes up. So, this probably isn't what I want.
– Alexander Sibelius
Sep 23 '13 at 19:08












1 Answer
1






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oldest

votes

















up vote
2
down vote



accepted










syms x defines x as a symbolic variable, invoking symbolic computation on x. This probably isn't what you want.



Instead, define x as some kind of input matrix, e.g. x = zeros(3);. Or, to do numeric integration, use the integral function:



integral(@bump, -1, 1)





share|improve this answer























  • I changed x to x = -2:.01:2, but now it says Undefined function 'int' for input arguments of type 'double'. What does this mean?
    – Alexander Sibelius
    Sep 23 '13 at 19:13








  • 1




    Ah. I see now. You want an integral, which requires a function. You saw the symbolic documentation first so you didn't see the numeric integration function right after that. I added an example for integral.
    – nneonneo
    Sep 23 '13 at 20:03











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1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
2
down vote



accepted










syms x defines x as a symbolic variable, invoking symbolic computation on x. This probably isn't what you want.



Instead, define x as some kind of input matrix, e.g. x = zeros(3);. Or, to do numeric integration, use the integral function:



integral(@bump, -1, 1)





share|improve this answer























  • I changed x to x = -2:.01:2, but now it says Undefined function 'int' for input arguments of type 'double'. What does this mean?
    – Alexander Sibelius
    Sep 23 '13 at 19:13








  • 1




    Ah. I see now. You want an integral, which requires a function. You saw the symbolic documentation first so you didn't see the numeric integration function right after that. I added an example for integral.
    – nneonneo
    Sep 23 '13 at 20:03















up vote
2
down vote



accepted










syms x defines x as a symbolic variable, invoking symbolic computation on x. This probably isn't what you want.



Instead, define x as some kind of input matrix, e.g. x = zeros(3);. Or, to do numeric integration, use the integral function:



integral(@bump, -1, 1)





share|improve this answer























  • I changed x to x = -2:.01:2, but now it says Undefined function 'int' for input arguments of type 'double'. What does this mean?
    – Alexander Sibelius
    Sep 23 '13 at 19:13








  • 1




    Ah. I see now. You want an integral, which requires a function. You saw the symbolic documentation first so you didn't see the numeric integration function right after that. I added an example for integral.
    – nneonneo
    Sep 23 '13 at 20:03













up vote
2
down vote



accepted







up vote
2
down vote



accepted






syms x defines x as a symbolic variable, invoking symbolic computation on x. This probably isn't what you want.



Instead, define x as some kind of input matrix, e.g. x = zeros(3);. Or, to do numeric integration, use the integral function:



integral(@bump, -1, 1)





share|improve this answer














syms x defines x as a symbolic variable, invoking symbolic computation on x. This probably isn't what you want.



Instead, define x as some kind of input matrix, e.g. x = zeros(3);. Or, to do numeric integration, use the integral function:



integral(@bump, -1, 1)






share|improve this answer














share|improve this answer



share|improve this answer








edited Sep 23 '13 at 20:02

























answered Sep 23 '13 at 19:03









nneonneo

124k25192296




124k25192296












  • I changed x to x = -2:.01:2, but now it says Undefined function 'int' for input arguments of type 'double'. What does this mean?
    – Alexander Sibelius
    Sep 23 '13 at 19:13








  • 1




    Ah. I see now. You want an integral, which requires a function. You saw the symbolic documentation first so you didn't see the numeric integration function right after that. I added an example for integral.
    – nneonneo
    Sep 23 '13 at 20:03


















  • I changed x to x = -2:.01:2, but now it says Undefined function 'int' for input arguments of type 'double'. What does this mean?
    – Alexander Sibelius
    Sep 23 '13 at 19:13








  • 1




    Ah. I see now. You want an integral, which requires a function. You saw the symbolic documentation first so you didn't see the numeric integration function right after that. I added an example for integral.
    – nneonneo
    Sep 23 '13 at 20:03
















I changed x to x = -2:.01:2, but now it says Undefined function 'int' for input arguments of type 'double'. What does this mean?
– Alexander Sibelius
Sep 23 '13 at 19:13






I changed x to x = -2:.01:2, but now it says Undefined function 'int' for input arguments of type 'double'. What does this mean?
– Alexander Sibelius
Sep 23 '13 at 19:13






1




1




Ah. I see now. You want an integral, which requires a function. You saw the symbolic documentation first so you didn't see the numeric integration function right after that. I added an example for integral.
– nneonneo
Sep 23 '13 at 20:03




Ah. I see now. You want an integral, which requires a function. You saw the symbolic documentation first so you didn't see the numeric integration function right after that. I added an example for integral.
– nneonneo
Sep 23 '13 at 20:03


















 

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