2, in which y is the inverse

square root of input x.

In a crowded curriculum, when time is short, the focus is on what a

square root means, in what circumstances one might want to evaluate one, how they are related to squares, and how to use and interpret them.

Moreover, the rate of decay of closed forms is t and t2 and both functions in time domain are non-causal which require a time delay of significant length to be able to become physically realizable.Figure 2 (a) and (b) shows the variation of raised cosine and its

square root signal pulses for different values of excess bandwidth parameter, AY and the variation of their both functions realizable.

Then multiplying by 0.5(A + x) leads to a lower bound approximately equal to 2u for the argument of the

square root, since A [is greater than][approximately equals] 1.

Since hydrogen solubility is related directly to the

square root of pressure, decreased pressure reduces hydrogen solubility, increasing the tendency for bubble formation in the sample.

On the other hand, it is not appropriate when operating with real numbers only, since a negative number appears under the

square root signs and as an argument for ln (Domain(RJC)).

In Section ??, we introduce a new method called the improved

square root transformation (ISRT).

Note that the solutions for u and v with the negative

square root terms given in equations (10) and (11) also give equation (13) when substituted into y = u - v.

Now let us add a fifth function in the shape of 4 (

square root):

[[phi].sub.1] = 2[3

square root of 100]a(c - 1) - [3

square root of 10][[OMEGA].sup.2/3]/6a[[OMEGA].sup.1/3], (23)

Now, the

square root part of the first of these solutions can only be an integer if q is even--because of the remainders obtained when odd or even squares are divided by four (1 and 0 respectively)--and the

square root part of the second solution cannot be an integer unless q is odd.

It is the

square root of the power spectral density of magnetic field fluctuations at the magnetometer frequency.