MATLAB: Could someone please explain…

argumentserrorfunctionhandleinputiterationloopmanysymbolictoo

…the following error? I've looked in the help files and in previous questions to no avail. I am setting up an iteration as follows:
data = csvread('results_n_solve.csv');
assert (size(data, 2) == 1, ...
      'Input data must have exactly one column.');
    nsys = size(data, 1);
       syms n1
       S = n1;
       y  = 450;
       n0 = 1;
       n2 = 4.676;
       k2 = .091;
       d1 = 300;
for k = 1 : nsys
      F = r_dat(data((k-1) + (1:1), 1:end));
      S(k,:) = solve(F);
end
Where the data is a 1 column by 101 row matrix. The function file r_dat is as follows:
function F = r_dat
theta = (2.*pi().*n1.*d1)./y;
      a = n0.*n1 + n0.*n2 - n1.^2 - n1.*n2 + n0.*n1.*cos(theta) - n0.*n2.*cos(theta) + (n1.^2).*cos(theta) - n1.*n2.*cos(theta) + n0.*k2.*sin(theta) + n1.*k2.*sin(theta);
      b = n1.*k2 - n0.*k2 + n0.*k2.*cos(theta) + n1.*k2.*cos(theta) - n0.*n1.*sin(theta) + n0.*n2.*sin(theta) - (n1.^2).*sin(theta) + n1.*n2.*sin(theta);
      c = n0.*n1 + n0.*n2 + n1.^2 + n1.*n2 + n0.*n1.*cos(theta) - n0.*n2.*cos(theta) - (n1.^2).*cos(theta) + n1.*n2.*cos(theta) + n0.*k2.*sin(theta) - n1.*k2.*sin(theta);
      d = n0.*k2.*cos(theta) - n1.*k2.*cos(theta) - n0.*k2 - n1.*k2 - n0.*n1.*sin(theta) + n0.*n2.*sin(theta) + (n1.^2).*sin(theta) - n1.*n2.*sin(theta);
      F = @(x) (1./((c.^2+d.^2).^2)).*(((a.*c + b.*d).^2) + ((b.*c - a.*d).^2)) - x(1);
end
Which is sloppy yet functional (hopefully). When I run this, I receive the following error:
Error using ==> r_dat Too many input arguments.
Error in ==> n_solve at 36 F = r_dat(data((k-1) + (1:1), 1:end));
Error in ==> run at 74 evalin('caller',[script ';']);
So, what does it mean by "too many input arguments"? I don't know what its telling me, so I don't know how to begin to fix it. I've tried playing around with all the variables that are involved, but nothing changes.

Best Answer

r_dat is a function with no input arguments:
function F = r_dat
but you're calling it with an input
F = r_dat(data((k-1) + (1:1), 1:end))
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