Necessary and sufficient conditions for a second-order operator to be self-adjoint are obtained and a reduction formula for computations of norms of eigenfunctions of these operators is also given, which avoids the customary case-by-case analysis found, e.g., in [6, 8, 9].
All played quietly into the night, unaccompanied by the customary guitar case lying open at their feet: none were busking at this hour.
At a brief courtroom appearance, in September, Yang declared his regret in a way that's become customary in cases like this, saying that he had fallen "into the abyss of criminality".
The spokesman, Michael Fagan, said that it was customary in cases in which there was suspicion of abuse or neglect for the agency to "look at the subject as well as the entire family" and take custody of a child who was "at risk of imminent harm".
It is customary in cases of critical illness to add a name to the patient's name -- usually a name such as Chaim (life) or Rafael (healer).
A longitudinal study of GBV customary court cases in South Sudan cited many court proceedings in which wife beating was considered acceptable if there was a reason noted for the wife beating.
She said that intelligence agencies never sent a notice to her committee about the growing uprising in Egypt, as is customary in the case of significant global events.
The attorney general then appealed for an emergency stay to the Supreme Court — first to Justice Sonia Sotomayor, who supervises the Tenth Circuit, after which she, as is customary in a case of this kind, referred the issue to her colleagues.
At its premiere at the Apollo Theater in Harlem last week, the 35-millimeter version of "Standing" stood ready to roll on the customary reels in case of a technical glitch.
We concentrate on the derivation of local limit theorems, which is customary in the case where one deals with integer-valued r.v.'s, since in view of the jumps of their cumulative distribution functions, the integral limit theorems for such r.v.'s are usually less accurate, which is due to discontinuities to be taken care of.
In January 1605, Charles was created Duke of York, as is customary in the case of the English sovereign's second son, and made a Knight of the Bath.
