New formulations for the recursive residuals for models having uncorrelated errors with equal variances are given in terms of the observation vector or the usual least-squares residuals, which do not require the computation of least-squares parameter estimates and for which the transformation matrices are expressed wholly in terms of the rows of the Theil Z matrix.
Some responses to the argument deny this assumption: Helm (1988), for instance, suggests that all temporal truths can be expressed by wholly tenseless propositions, though he also notes that if one finds this unacceptable, he would be content with the claim that for every tensed proposition there is a tenseless one that reports the same fact.
"President Jonathan wholly shares the widely expressed view that the signs which were put up without his knowledge or approval are a highly insensitive parody of the #BringBackOurGirls hashtag," his office said.
"It is testament and commendable that this administration apologise, accept and wholly understand the concerns expressed by staff, trade unions and members of the public".
In a statement issued after the meeting, Labour councillors said they "apologise, accept and wholly understand the concerns expressed by staff, trade unions and members of the public for the recent senior remuneration pay decision by a unanimous vote of a cross-party delegated committee".
As late as 1950 he was declaring that there were emotional and spiritual aspects to life, "which prose drama was wholly inadequate to express".
This is especially true in host-parasite systems where more complex manipulations are observed, which lead to manipulated hosts expressing wholly novel behaviors.
"The texts Mr Mackay has admitted to sending are wholly unacceptable – and the thoughts expressed within them are a shocking reminder of a past we thought football had left behind.
(Coincidentally, Mr. Falwell expressed views not wholly different from those of the funeral protesters, saying that the nation's attitudes toward homosexuality and abortion had played a role in the Sept. 11 attacks).
Earlier in the day Premier Range became the first of the sponsors to pull out, before Whelan had made his remarks, saying: "The texts Mr Mackay has admitted to sending are wholly unacceptable – and the thoughts expressed within them are a shocking reminder of a past we thought football had left behind.
