Considering Remark 1.13, we know that ({2^{-m}f(2^{m}x)}) is a Cauchy sequence.
Considering Remark 1.13, we know that ({2^{m}f (frac{x}{2^{m}} )}) is a Cauchy sequence.
Considering Remark 2.2, we obtain the following corollary as a consequence of Theorem 2.5.
By considering Remark 2.4, we can have the following consequences of Theorem 2.7.
Considering Remark 1.13, we get that ({{2^{-m}f(2^{m}x)}}) is a Cauchy sequence in Y for all (xin X).
Considering Remark 3.4, power functions of orders r ∈ ( − 2, − 1 ) have unbounded values h ˆ r ( t, t ) and h ˆ r ( t, ρ ( t ) ).
(iii) Considering Remark 3.4, power functions of orders r ∈ ( − 2, − 1 ) have unbounded values h ˆ r ( t, t ) and h ˆ r ( t, ρ ( t ) ).
Considering Remark 10, the optimal binary UMP alphabet is BPSK which maximizes δ min 2. We have seen in Figure 4b that complex-orthonormal QFSK is UMP.
Considering Remark 2.1, if the observed data for test are real numbers (y_{ij} ) which can be formulated by indicator functions (I_{{y_{ij} }} ) for (i = 1,ldots,r) and (j = 1,ldots,n_i ), then all the introduced extended statistics in Eqs.
And how is the world supposed to consider remarks by the pope that are not official church teaching?
The only really considered remarks of the lot, because they were written (in response to Scott Horton's written questions) rather than stammered off the cuff, may be found on the Web site of Harper's magazine.
