Because of independence, the decision whether to use of the axiom of choice ( or its negation ) in a proof cannot be made by appeal to other axioms of set theory.

Because of the pen's reliance on gravity to coat the ball with ink, most ballpoint pens cannot be used to write upside down.

Because arcs of circles and ellipses cannot be exactly represented by Bézier curves, they are first approximated by Bézier curves, which are in turn approximated by arcs of circles.

Because the islands cannot produce enough goods to support the population, about 90 % of their food and consumer goods must be imported.

Because Njazidja is geologically a relatively new island, its soil is thin and rocky and cannot hold water.

Because Guest's children are adopted, they cannot inherit the family barony under the terms of the letters patent that created it, though a 2004 Royal Warrant addressing the style of a peer's adopted children states that they can use courtesy titles.

Because interframe compression copies data from one frame to another, if the original frame is simply cut out ( or lost in transmission ), the following frames cannot be reconstructed properly.

Because these natural phenomena cannot be controlled, they inevitably affect the outcome of the given activity or event.

Because the output pulse from a Geiger-Muller tube is always the same magnitude regardless of the energy of the incident radiation, the tube cannot differentiate between certain radiation types.

* Stoppage Because of Strikes: The fighter is overwhelmed by strikes ( blows ), and cannot intelligently defend himself.

Because meiosis is a " one-way " process, it cannot be said to engage in a cell cycle as mitosis does.

Because the chromosomes cannot be distinguished in the synaptonemal complex, the actual act of crossing over is not perceivable through the microscope, and chiasmata are not visible until the next stage.

Because of this topography, the ocean cannot be seen from much of Malden's interior.

Because MIDI is a set of commands that create sound, MIDI sequences can be manipulated in ways that prerecorded audio cannot.

Because DNA polymerase III cannot synthesize in the 3 '→ 5 ' direction, the lagging strand is synthesized in short segments known as Okazaki fragments.

Because individual PET scans are more expensive than " conventional " imaging with computed tomography ( CT ) and magnetic resonance imaging ( MRI ), expansion of FDG-PET in cost-constrained health services will depend on proper health technology assessment ; this problem is a difficult one because structural and functional imaging often cannot be directly compared, as they provide different information.

Because it has no finite spatiotemporal extent, a single point of Minkowski space cannot be an occasion of experience, but is an abstraction from an infinite set of occasions of experience, as explained in Process and Reality.

Because humans are mortal and limited, a single human religious system cannot encompass all of the religious or spiritual absolute reality ...." ( p. 167 )

Because of the way these activities structure the economic framework, Habermas felt that the state cannot be looked at as passively responding to economic class interests.

Because the viewfinder and the film lens cannot share the same optical path, the viewing lens is aimed to intersect with the film lens at a fixed point somewhere in front of the camera.

Because modern technology requires a supporting infrastructure, more primitive methods are employed — for example, horses instead of tractors ( because tractors cannot reproduce themselves ).

Because of this, confidential information cannot be the subject of theft, as it is not capable of being taken as only tangibles can be taken.

Because a tachyon always moves faster than light, we cannot see it approaching.

Because no Equal Rights Party ballot for 1872 has been preserved, this claim cannot be confirmed.

Because motion which begins and ends at discrete places would ( e.g. for Aristotle ) be incomplete.

Because of these involvements in the matter at stake, Boniface lacked the impartiality that is supposed to be an essential qualification for the position of arbiter, and in retrospect that would seem to be sufficient reason why the English embassies to the Curia proved so fruitless.

Because of the means of publication -- science-fiction magazines and cheap paperbacks -- and because dystopian science fiction is still appearing in quantity the full range and extent of this phenomenon can hardly be known, though one fact is evident: the science-fiction imagination has been immensely fertile in its extrapolations.

Because the buses would not stop on the parkway, land for bus stations and for parking areas nearby will be needed.

Because they were new men and to be sure that they didn't get lost, Prevot had placed Warren and White in the center of the patrol as it filed out.

Because of a missile's ballistic trajectory, the location of a fixed target must be known quite accurately.

Because of this, only those with truly fine equipment will be able to appreciate the exact degree of the engineers' triumph.

Because of its importance, and because the lack of price competition is well recognized, the industry is under considerable public pressure not to raise its price any more than could be justified by cost increases.

Because agricultural activities are seasonal and the areas of production and harvest of many foods are widely scattered geographically, and because of the high cost of transporting bulk food items any substantial distance to a central processing location, the use of large central processing stations, where low-cost radiation facilities approaching the megawatt range might be utilized, is inherently impracticable.

Because Holstein cattle weren't a beef breed, they were rarely seen on a ranch, though one might be found now and then for the milk supply.

Because of the recent death of the bride's father, Frederick B. Hamm, the marriage of Miss Terry Hamm to John Bruce Parichy will be a small one at noon tomorrow in St. Bernadine's church, Forest Park.

Because your soul was made to be filled with God Himself, not religious functions `` about '' Him.

Because constitutional claims are of great magnitude, appellate courts might be more lenient to review the claim even if it was not preserved.

Because of their high reactivity, they must be stored under oil in sealed glass ampoules to prevent reaction with air.

Because CCD imagers are linear, image processing may be used to subtract away the effects of light pollution, which has increased the popularity of astrophotography in urban areas.

Because an algorithm is a precise list of precise steps, the order of computation will always be critical to the functioning of the algorithm.

Because and can be very similar numbers, the precision of the result can be much less than the inherent precision of the floating-point arithmetic used to perform the computation.

Because the series was at stake, the match was to be " timeless ", i. e., played to a finish.

Because the percentage of each constituent can be varied, with any mixture the entire range of possible variations is called a system.

Because pig iron could be melted, people began to develop processes of reducing the carbon in the liquid pig iron to create steel.

Because of the quantum mechanical nature of the electrons around a nucleus, atomic orbitals can be uniquely defined by a set of integers known as quantum numbers.

Because an alpha particle is the same as a helium-4 nucleus, which has mass number 4 and atomic number 2, this can also be written as: