S4: In this case, we wrote the constant inside the

absolute value.

Building on Freeman and Tse's (1992) premise that the magnitude of the

absolute value of unexpected earnings reflects the degree of earnings persistence (that is, the greater the earnings persistence, the smaller the

absolute value of unexpected earnings), we arrive at the following conjecture.

Despite the element of chance and the resulting large fluctuations in value that characterize a random Fibonacci sequence, the

absolute values of the numbers, on average, increase at a well-defined exponential rate.

It is well-known that in the stock market there is a correlation between the

absolute value of a price change and the corresponding volume.

When it comes to the deliberate creation of human life using in-vitro techniques, the pope - inconsistent with his ostensible

absolute value - rules this option out of bounds.

Note that the

absolute value of the error constant is equal to K = [e.sup.b] .

Then, the effect is, that all non zero diagonal elements of [B.sub.0] (see (6.6)) will have

absolute value one.

The Church's point, of course, is that these teachings are not just foibles for Catholics only but are

absolute values based on the natural moral law which is obligatory for all people.

Let k be an algebraically closed field of characteristic zero, which is complete for a non-trivial non-Archimedean

absolute value [absolute value of *].

Moreover, in two of the examples (Laguerre and Jacobi), since not all the entries [l.sub.i] of the matrix L are, in

absolute value, less than one, pivoting is neccesary to ensure the backward stability of LU factorization.

Let [absolute value of A] denote the

absolute value of A and [[absolute value of A].sup.1/2 be the square root of [absolute value of A].

The main novelty of this viewpoint is that it allows one to construct the "

absolute value" of a 1-cocycle b: G [right arrow] H which lies in the G-invariant positive cone V [subset] H [cross product] H which allows one to naturally use the weak mixingness to derive the stronger ergodic theorem in that case.