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Empty sym: 0-by-1

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Alvaro
Alvaro on 12 Oct 2023
Commented: Walter Roberson on 12 Oct 2023
When I run this code, my answer for A comes out as 'Empty sym: 0-by-1'
clc;clear;format compact;
syms V
P=[0.98 1.97 4.93 9.86 49.36 98.69]; %atm
T=[573 573 573 573 573 573]; %K
R=461.5; %Pa*m3/mol*K
R=convpres(R,'Pa','atm');
R=R*1000; %L*atm/mol*K
GI=(P*V)-(R*T);
A=solve(GI,V)
A = Empty sym: 0-by-1

Accepted Answer

Torsten
Torsten on 12 Oct 2023
Use
A = double(arrayfun(@(i)solve(GI(i),V),1:numel(P)))
instead of
A = solve(GI,V)
  1 Comment
Dyuman Joshi
Dyuman Joshi on 12 Oct 2023
which can be simplified to
out = double(arrayfun(@(x) solve(x,V), GI))

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More Answers (1)

Steven Lord
Steven Lord on 12 Oct 2023
Let's look at the equations you're trying to solve.
syms V
P=[0.98 1.97 4.93 9.86 49.36 98.69]; %atm
T=[573 573 573 573 573 573]; %K
R=461.5; %Pa*m3/mol*K
R=convpres(R,'Pa','atm');
R=R*1000; %L*atm/mol*K
GI=(P*V)-(R*T)
GI = 
The first element of GI has a solution, as does the second element of GI. Is the solution for those two elements exactly the same? To ask that question another way, is there a value of V that satisfies all the elements in GI simultaneously?
A1=solve(GI(1), V)
A1 = 
A2 = solve(GI(2), V)
A2 = 
isAlways(A1 == A2)
ans = logical
0
No, there isn't. So your original solve call that's looking for that one value of V that satisfies all the elements in GI simultaneously is correct to return an empty sym.
Now if you wanted a vector of values of V that satisfy each corresponding element in GI, that's possible to compute.
A = zeros(size(GI), 'sym');
for whichTerm = 1:numel(GI)
A(whichTerm) = solve(GI(whichTerm), V);
end
A
A = 
Do they satisfy their equations?
result = zeros(size(GI), 'sym');
for whichEquation = 1:numel(GI)
result(whichEquation) = subs(GI(whichEquation), V, A(whichEquation));
end
result
result = 
Yes. Are they close to the same value?
vpa(A, 5)
ans = 
Nope. Not even same order of magnitude.
  1 Comment
Walter Roberson
Walter Roberson on 12 Oct 2023
This is an important point: solve is always looking for simultaneous solution of all the inputs. It is designed for simultaneous equation solving, and does not have any option for solving each equation individually.

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