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 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 the original designer had left the company another employee completely redesigned most of the system, ( adding a display snow remover circuit, true 80 / 64 column text mode support, ( with different size letters for TRS-80 and CP / M mode, so that in TRS-80 mode the full screen was also used, not just a 64x16 portion of the 80x25 screen ) with an improved font set ( adding " gray scale " version of the TRS-80 mozaik graphics and many special PETSCII like characters ), and a more flexible and reliable floppy disk controller and keyboard interface plus many other small improvements ), also an enclosure was developed for the main computer system, ( in the form of a 19-inch rack for the Eurocards ) and for two floppy disk drives and the power supply.

Because of these accidents, the various aviation authorities around the world have created set rules and guidance for those running and participating in air displays.

Because the instructions can be carried out in different types of computers, a single set of source instructions converts to machine instructions according to the central processing unit type.

Because of this, it is traditional to define the decision problem equivalently as: the set of inputs for which the problem returns yes.

Because the group operation associates, parentheses have only one necessary use in group theory: to set the scope of the inverse operation.

Because no set definition of what constitutes a lake and no procedures for counting the number of lakes exist, it has been impossible to ascertain exactly how many lakes the region has.

Because abstract algebra studies sets endowed with operations that generate interesting structure or properties on the set, functions which preserve the operations are especially important.

Because the unified Swiss Code of Criminal Procedure ( set to enter into force in 2011 ) does not provide for jury trials or lay judges, however, they are likely to be abolished in the near future.

Because of the manner in which the head of the Soviet project, Lavrenti Beria, used foreign intelligence ( as a third-party check, rather than giving it directly to the scientists, as he did not trust the information by default ) it is unknown whether Fuchs's fission information had a substantial effect ( and considering that the pace of the Soviet program was set primarily by the amount of uranium they could procure, it is hard for scholars to accurately judge how much time this saved the Soviets ).

Because gametes end up with a random mix instead of a pre-defined " set " from either parent, gametes are therefore considered assorted independently.

Because of its applicability in diverse fields of mathematics, mathematicians including Saunders Mac Lane have proposed category theory as a foundational system for mathematics, independent of set theory.

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

Smith's set included " Gloria ", " Because the Night " and " People Have the Power.

Because the ludi were religious in nature, it was appropriate for the Romans to set up this temporary stage close to the temple of the deity being celebrated.

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, through the dithering process, the printer builds a single image pixel out of several printer dots to increase color depth, the printer's DPI setting must be set far higher than the desired PPI to ensure sufficient color depth without sacrificing image resolution.

Because the presence of moisture causes the glue to set, exposure to moisture in the air can cause a tube or bottle of glue to become unusable over time.

Because their film characters are separated throughout the film ( due to the plot revolving around time travel ), Bullock and Reeves were only on set together for two weeks during filming.

Because the date of the Super Bowl had been set through 2003, the bye week prior to the Super Bowl would not return until 2004.

Because Westinghouse was angered by the decision, he funded Eighth Amendment-based appeals for inmates set to die in the electric chair, ultimately resulting in Edison providing the generators which powered early electrocutions and testifying successfully on behalf of the state that electrocution was a painless method of execution.

Because the data layout is " known " — a set of numbers arranged sequentially in memory — the pipelines can be tuned to improve the performance of fetches.

Because these cards have all three symbols, they can match with any two other cards to form a set.

Because the source IP addresses can be trivially spoofed, an attack could come from a limited set of sources, or may even originate from a single host.

Because of Supreme Court precedent, this process is all considered part of a single proceeding.

Because court decisions in civil law traditions are brief and not amenable to establishing precedent, much of the exposition of the law in civil law traditions is done by academics rather than by judges ; this is called doctrine and may be published in treatises or in journals such as Recueil Dalloz in France.

Because of their ability to set legal precedent in regions that cover millions of people, the United States Courts of Appeals have strong policy influence on U. S. law ; however, this political recognition is controversial.

Because the case, Baker v. Nelson, came to the Court through mandatory appellate review ( not certiorari ), the summary dismissal established Baker v. Nelson as a binding precedent.

:" Because the reasons proffered by the Forest Service in support of the Tongass Exemption were implausible, contrary to the evidence in the record, and contrary to Ninth Circuit precedent, the court concludes that promulgation of the Tongass Exemption was arbitrary and capricious.

:" Because neither the factual underpinnings of Roe's central holding nor our understanding of it has changed ( and because no other indication of weakened precedent has been shown ), the Court could not pretend to be reexamining the prior law with any justification beyond a present doctrinal disposition to come out differently from the Court of 1973 .”

Because the word " biculturalism " suggests, more or less explicitly, that only two cultures merit formal recognition, advocates of multiculturalism ( for which it formed a precedent ) may regard bicultural outlooks as inadequately progressive in comparison.

Because of this precedent, and of a dubious connection between the Voynich Manuscript and John Dee through Roger Bacon, Kelley has been suspected of having fabricated that book too, in order to swindle Rudolf.

Considering the prosecution of Drake, investigative journalist Jane Mayer wrote that " Because reporters often retain unauthorized defense documents, Drake's conviction would establish a legal precedent making it possible to prosecute journalists as spies.

Because Hand never served on the Supreme Court, the majority of his cases were routine and his judgments rooted in precedent.

Because of its spacious design, it set the precedent for many factories and production plants built thereafter.

Because Iraq's newly established political institutions were the creation of a foreign power, and because the concept of democratic government had no precedent in Iraqi history, the politicians in Baghdad lacked legitimacy and never developed deeply rooted constituencies.

Because a tribunal is not bound by legal precedent, established by itself or by a reviewing court, a tribunal is not a court even though it performs an important adjudicative function and contributes to the development of law like a court would do.

Because of their dubious value as precedent, these cases would likely be overturned to allow for an income tax if the issue was ever brought before them.

Because Nixon's impeachment was for perjury, the case was cited as a precedent in the impeachment trial of President Bill Clinton.

Because Nosamo as an internet-based political organisation has very little precedent in Korea or elsewhere, it has attracted a fair amount of criticism.

" Because the case came to the federal Supreme Court through mandatory appellate review ( not certiorari ), the summary dismissal constituted a decision on the merits and established Baker v. Nelson as a precedent, though the extent of its precedential effect has been subject to debate.

Because the Federal Communications Commission was concerned that the move of WPTS to FM might set an unfavorable precedent for other non-commercial stations seeking to make a similar move, Pitt had to reassure the FCC that WPTS was a unique case.