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, the text of the Articles of Remonstrance says that no believer can be plucked from Christ's hand, and the matter of falling away, " loss of salvation " required further study before it could be taught with any certainty.

Further, the Mahabharata states, " How can you expect compassion from a meat-eater?

Further information can be gained by staining slices of brain tissue with a variety of chemicals that bring out areas where specific types of molecules are present in high concentrations.

Further, chemical biology employs biological systems to create non-natural hybrids between biomolecules and synthetic devices ( for example emptied viral capsids that can deliver gene therapy or drug molecules ).

Further, a wide range of other naturally occurring decision and optimization problems can be transformed into instances of SAT.

Further investigation can then be performed to support the diagnosis including

Further details of FAZ operations in the 1980s and onwards can be found in John W. Turner's book A Continent Ablaze.

Further work on this virus will required before a final assignment can be made.

Further, the earliest use of feuum ( as a replacement for beneficium ) can be dated to 899, the same year a Muslim base at Fraxinetum ( La Garde-Freinet ) in Provence was established.

Further examples of such medieval diagrams can be found in medieval manuscripts of the Dream of Scipio.

Further studies are needed to find out whether there are other additives that could have a similar effect, and it is unclear whether some disturbances can also occur in mood and concentration in some adults.

Further, it is notable that the most pervasive expression of this hair texture can be found in sub-Saharan Africa ; a region of the world that abundant genetic and paleo-anthropological evidence suggests, was the relatively recent (~ 200, 000 year old ) point of origin for modern humanity.

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, using a technique known as " read modified ," a single transmission back to the mainframe can contain the changes from any number of formatted fields that have been modified, but without sending any unmodified fields or static data.

Further information can be gathered from travellers such as Benjamin of Tudela and Ibn Jubayr.

" Further use of the words laser and maser in an extended sense, not referring to laser technology or devices, can be seen in usages such as astrophysical maser and atom laser.

Further the additives typically contained in lubricant can be toxic to flora and fauna.

Further, the Presidential Range can be broken up into the Northern Presidential Range and Southern Presidential Range.

Further improvements in performance can be achieved by caching the results from database queries in memory using memcached, or breaking down a database into smaller chunks called shards which can be spread across a number of distributed server clusters.

Further, the data composed via the sequenced MIDI recordings can then be saved as a Standard MIDI File ( SMF ), digitally distributed, and reproduced by any computer or electronic instrument that also adheres to the same MIDI, GM, and SMF standards.

Further, it can be shown for a medium with refractive index n and a beam interaction length l, the electric field amplitude of the conjugate beam is approximated by

Further, the necessity to serve up a dubiously justified happy ending, although expected by audiences, actually has another effect of heightening the sense of falseness and contrived stories, underpinning the public's loss of belief in virtually anything any mass media says.

Further, the names of meals are often interchangeable by custom as well, such as some will serve dinner as the main meal at midday, with supper as the late afternoon / early evening meal and others may call their midday meal lunch and their early evening meal supper.

Further complicating things, is the fact that the Los Angeles County Fire Department does not serve the City of Los Angeles.

Further, Abimelech gave Abraham a thousand pieces of silver to serve as Sarah's vindication before all.

" Further, he stated that " I asked England if I might serve in her armies, but she replied that that was impossible: I must wait on the Rhine, where I would have a part to play immediately, and I was in fact waiting.

Further advancements include amazingly detailed and accurate imaging of the brain, lungs, tendons, and other parts of the body — images that can be used by health professionals to better serve patients.

Further recognition came when he, along with Wilfred Rhodes, joined the England selection committee for the Ashes series to be played that summer ; for professional cricketers to serve as England selectors was unprecedented.

Further, bridge to nowhere is also used by political opponents to describe a bridge ( or proposed bridge ) that serve low-population areas at high cost.

Further, it has been noted that the Skyway would attract ridership from the proposed ( but unbuilt ) East Line, which would resolve the issue of Jacksonville's rail transit system being one of the few in the country that does not serve its local sports district.

Further, the Articles upheld the informal tradition that the king could not send those troops to serve outside the Commonwealth's borders without compensation.

Further, US 70 does not " disappear " at these splits ; thus, these two highways serve as additional branches of the main route.

Further buses serve North Finchley High Road, which is a 5-10 minute walk east from the station along Woodside Park road.

Further, because DEAs serve as a layer of indirection between the sender and recipient, if the DEA user's actual email address changes, for instance moving from a university address to a local ISP, then the user need only update the DEA service provider of the change, and all outstanding DEAs will continue to function without updating.

Soon after launch, a March 1980 TAC memo showed that the tobacco industry felt that there was confusion about the organisation's purpose, doubts as to the effectiveness of FOREST's activities, and continuing uncertainty as to whether it should endeavour to recruit a mass membership or continue to serve the industry directly. Further doubts were expressed over FOREST's direction by TAC figures in 1981, with some companies questioning whether to continue funding the group, or to establish a different, more effective group.

Further, because it would open the two news schools without upperclassmen, Buchholz and Eastside would, temporarily, serve as combined Junior-Senior Highs.

Further, carefully removing, then wrapping and folding the linens would be difficult and serve no useful purpose.

Further, techniques such as check codes may be used to detect errors and guarantee error-free communications through redundancy or retransmission.

At the 2011 assembly the party issued the following motion: ' Further, assembly deplores the redundancy notices issued to personnel in the Army and Royal Air Force on their return from active service.

Further cuts were announced in November 2009 when it was announced that the fleet would be reduced from 17 to 12 aircraft in 2010, with up to 158 jobs at risk of redundancy.