Further, we see by Lemma 2 that the multiplicity of F can only change at a tangent point, and at such a point can only change by an even integer.

Further, any successful steal on a play resulting in a wild pitch, passed ball, or balk would no longer be credited as a steal, even if the runner had started to steal before the play.

Further editing was apparently done even after that-the silver quarter-shekel which Saul's servant offers to Samuel in 1 Samuel 9 almost certainly fixes the date of this story in the Persian or Hellenistic periods.

Further levels of editing have also been proposed, including: a late 8th century edition pointing to Hezekiah of Judah as the model for kingship ; an earlier 8th century version with a similar message but identifying Jehu of Israel as the ideal king ; and an even earlier version promoting the House of David as the key to national well-being.

Further improvement upon the idea of instruction pipelining led to the development of a method that decreases the idle time of CPU components even further.

Further surgery in both eyes made drawing even more difficult.

Further gate-to-source voltage increase will attract even more electrons towards the gate which are able to create a conductive channel from source to drain ; this process is called inversion.

Further ," there is no century between the fourth and the eighth in which there is not some evidence of opposition to images even within the Church.

Further, if even brains in vats can correctly believe " I am not a brain in a vat ," then the skeptic can still press us on how we know we are not in that situation ( though the externalist will point out that it may be difficult for the skeptic to describe that situation ).

Further, statements that are facts cannot be considered perjury, even if they might arguably constitute an omission, and it is not perjury to lie about matters immaterial to the legal proceeding.

Further wrangles effectively brought work on the north side of Leipziger Platz to a complete stop for several years ; even now there are some " fake facades " where completed new buildings should be, while a long-running dispute over who owned the Wertheim department store site ( or had claims to the revenue from its sale by the government ), has to this day left another large gap in the central Berlin cityscape that is only now finally being redeveloped.

Further, in academic writing, though " myth " usually means a fundamental worldview story, even there it is occasionally ambiguous or clearly denotes " falsehood ", as in the " Christ myth theory ".

Further increases in the size and responsibilities of the force required even more administrators, and in 1907 and 1940, New Scotland Yard was extended further.

Further, in the case of a continuing tort, or even where harm is merely threatened, the courts will sometimes grant an injunction.

Further south, in the region of Beaujolais, Chardonnay has started to replace Aligote as the main white wine grape and is even replacing Gamay in some areas around Saint-Véran.

Further, even if the prisoner knows something to be true in the present moment, unknown psychological factors may erase this knowledge in the future.

Further variations are to be found within the regions identified below ; for example, towns located less than from the city of Manchester such as Bolton, Oldham and Salford, each have distinct accents, all of which form the Lancashire accent, yet in extreme cases are different enough to be noticed even by a non-local listener.

Further, poorly designed systems often leave everything below about 120 Hz ( or even higher ) to the subwoofer, meaning that the subwoofer handles frequencies which the ear can use for sound source localization, thus introducing an undesirable subwoofer " localization effect ".

Further, the demands for reform put forward included that the Duke of York be acknowledged as the first councillor to the king, and the Speaker of Commons, perhaps with more fervour than wisdom, even proposed Richard, Duke of York, be recognised as heir to the throne.

Further technology advances that use even thinner gate dielectrics have an additional leakage component because of current tunnelling through the extremely thin gate dielectric.

Further, nouns that end in-s ( e. g., Français — " Frenchman "),-x or-z in their singular forms generally do not change forms even in writing.

Further those who live in cities with no public transportation become even more excluded from education and work.

Further issues were created by the government's lack of organization in providing relief ; many even hoarded supplies as a way to control the population.

Further, reports of a huge cache of weapons in the hands of SA members gave the army commanders even more concern.

* 2004 — Further observations by a team from UCLA present even stronger evidence supporting Sagittarius A * as a black hole.

" Further, when asked if he felt ideologically closer to his father's engagement with politics or to other evangelicals who have tried to avoid civic involvement, he answered, " The gospel is for individuals.

Further, if the action provides for settlement in coupons, the attorney must take a corresponding part of his fee in coupons.

Further, the United States would provide economic and military aid and, if necessary, use military force to stop the spread of communism in the Middle East.

Further explanation follows if needed, as well as notable detail.

Further, officials in the United Kingdom indicated that the British parliament was under no obligation to fulfill any request for legal changes made by Trudeau, particularly if Canadian convention was not being followed.

Further, only one relative ( and only " if otherwise suitable ") was to be raised to the cardinalate.

Further, if the patch is that significant to the user, having the source code, the user can technically patch the problem themselves.

Further, if the size of the object is known, it is possible to predict both the amount of visible light and emitted heat radiation reaching the Earth.

Further, the " if " clause often described the category in which the judgment was made ( art, science, etc .).

Further, if " full-flush " points are written to the compressed stream, then corrupt data can be skipped, and the decompression will resynchronise at the next flush point-although no error recovery of the corrupt data is provided.

Further, the Umayyads appear not to have scouted northward for potential foes, for if they had, they surely would have noted Charles Martel as a force to be reckoned with in his own account, because of his growing domination of much of Europe from 717: this might have alerted the Umayyads that a real power led by a gifted general was rising from the ashes of the Western Roman Empire.

" Further, OUP treated its book publications as short-term projects: any books that did not sell within a few years of publication were written off ( to show as unplanned or hidden income if in fact they sold thereafter ).

Further, some words starting with vowels may have a preceding a because they are pronounced as if beginning with an initial consonant.

Further, the current only increases significantly if the applied voltage is positive, not negative.

Further, if government deficits are spent on productive public investment ( e. g., infrastructure or public health ) that directly and eventually raises potential output, although not necessarily as much as the lost private investment might have.

Further refinement shows that Exochorda – Oemleria – Prinsepia is somewhat separate from Prunus – Maddenia – Pygeum, and that the traditional subfamilies Maloideae and Spiraeoideae must be included in Amygdaloideae if a paraphyletic group is to be avoided.

Further convoluting the case is the possible role of propaganda in the surviving accounts: Attalus was executed in Alexander's consolidation of power after the murder ; one might wonder if his enrollment among the conspirators was not for the effect of introducing political expediency in an otherwise messy purge ( Attalus had publicly declared his hope that Alexander would not succeed Philip, but rather that a son of his own niece Eurydice, recently married to Philip and brutally murdered by Olympias after Philip's death, would gain the throne of Macedon ).

Further, because the law lacks a " severability clause ," if part of the law is judged unconstitutional, so is the remainder.

Further, if a bride is a virgin, she often wears the face veil through the ceremony, and then either her father lifts the veil, presenting the bride to her groom, or the groom lifts the veil to symbolically consummate the marriage, which will later become literal.

Further it is claimed that if one looks above the figure of Bartholomew, a Grail-like image appears on the wall.

Further research has shown that tapping into a fiber optic network without detection is difficult if not impossible.