function Demo_Poly_Kernel



DIM = 2;


if DIM == 1
    
    
    q = 0;
    k = 6;
    
    xi = 1.0;
    x = -1:0.01:1;
    
    for j = 1:length(x)
        ker(j) = Polynomial_Kernel(xi,x(j),q,k);
    end
    
    figure;
    plot(x,ker,'r-');
    xlabel('x');
    ylabel('K(x_i,x)');
    title('Polynomial Kernel - 1D');
    
else
    % Now 2 D
    
    q = 0;
    k = 3;
    
    xi = [1.0, 1.0];
    grid = -1:0.02:1;
    
    K = [];
    for i = 1:length(grid)
        for j = 1:length(grid)
            x = [grid(i),grid(j)];
            t1 =  Polynomial_Kernel(xi,x,q,k);
            K(i,j) = t1;
        end
        i
    end
    
    
    figure;
    mesh(grid,grid,K);
    xlabel('x_1');
    ylabel('x_2');
    zlabel('K(x_i,x)');
    title('Polynomial Kernel - 2D');
end
tmp = 99;