terminal fragment (1â34) of PTH, and a second antibody reacts with the C-terminal fragment (39â84) of PTH. In the first step of the assay, the PTH molecules are captured on magnetic nanoparticles coated with anti-N-terminal PTH antibodies (Fig. 2a). Since the combined surface area of the magnetic particles is large, this capture phase goes very
The principal square root function f (x) = âx (usually just referred to as the square root function) is a function that maps the set of non-negative real numbers onto itself. In geometrical terms, the square root function maps the area of a square to its side length.
By figuring out the domain and range of the inverse, I know that I should choose the negative sign for the square root: Now I'll switch the x and y; (The x > 1 restriction comes from the fact that x is inside a square root.) So the inverse is y = sqrt(x  1), x > 1, and this inverse is also a function.