Thus, inverse

square root can be derived in (3) based on the parity of number [alpha] (even and odd).

Finding a

square root became merely a matter of using a

square root key, originally pressed after the number, but on modern calculators such as the one shown in the left screen in Figure 4, pressed before the number, as for the conventional representation.

The variation of raised cosine and its

square root pulses in frequency domain is clearly visible in the sketches of these time domain expressions.

Multiplying by 0.5 (A + x) leads to an upper bound [approximately equals] M / (8 [square root of 2]) for the argument of the

square root function.

Simply divide the operating weight by the gross weight, derive the

square root and multiply the result by the gross weight [V.sub.A].

The

square root of 2, the

square root of 3, and the constant e (the base of the natural logarithms) fall into the same category.

The solubility of hydrogen in aluminum varies directly with temperature and the

square root of pressure.

The solution could explicitly include an imaginary unit or a negative number under

square root or as an argument of logarithm (Domain(C)).

Keywords and Phrases: Attribute control charts, Control limits, Improved

square root transformation, Normal appro[x.sub.i]mation, Q-chart.

[x.sub.1] = -[cube

square root of (9)] + 1, [x.sub.2] = 2 + [cube root of (9)]/2 + 3 [cube root of (6)]/2 i, [x.sub.3] = 2 + [cube root of (9)]/2 - 3 [cube root of (6)]/2 i

Observe that [??] x/d [??] + 1 [greater than or equal to] x/d, so it is enough to prove (mr + k + g - 1)/d [greater than or equal to] ((mn + k)/[square root of n]) [square root of 1 - 1/(n[mu])], which we can rewrite as m(

square root of (n -1/[mu])] - r/d) [less than or equal to] (d - 3)/2 + k(1/d -(1/[square root of n]) [square root of 1 - 1/([mu]n))].

The del Ferro solution to the reduced cubic was "central to the first progress made towards understanding the

square root of minus one" (Nahin, 1998, p.