These axioms are sufficient for many proofs in elementary mathematical analysis, and are consistent with some principles, such as the Lebesgue measurability of all sets of reals, that are disprovable from the full axiom of choice.

These sets were expanded in 1963 to 7 bits of coding, called the American Standard Code for Information Interchange ( ASCII ) as the Federal Information Processing Standard which replaced the incompatible teleprinter codes in use by different branches of the U. S. government.

These cable sets have a transmitter board located in the computer, an expansion board in the remote backplane, and a cable between the two.

These sets are disjoint because P is a prefix-free set.

These sets have a more novel look, and the often heavier weight makes them feel more substantial, but such materials and the resulting products are usually much more expensive than polymer materials.

These sets are observer-independent.

These sets have ISO-8859-n as their preferred MIME name or, in cases where a preferred MIME name isn't specified, their canonical name.

These are also commonly found in most Filipino kitchens, with some sets displayed on the walls and other sets for more practical use.

These time-delayed fuses led from the cab of the truck, through plastic fish-tank tubing conduit, to two sets of non-electric blasting caps.

These linked sets of proteins are called electron transport chains.

These were avoided in PM by building an elaborate system of types: a set of elements is of a different type than is each of its elements ( a set is not an element ; one element is not the set ) and one cannot speak of the " set of all sets " and similar constructs, which would lead to paradoxes ( see Russell's paradox ).

These open sets with the operations of intersection and union form a lattice with certain properties.

These existed before the open-circuit sets and are still used, but less so than open-circuit sets.

These reprints collect the issues into different sets.

These subsets will be called the measurable sets.

These four come in two sets of two.

These deists, while maintaining individual positions, still shared several sets of assumptions and arguments that Paine articulated in The Age of Reason.

These coins were not included in the 2012 uncirculated sets or the three-coin ATB quarter sets ( which consisted of an uncirculated " P " and " D " and proof " S " specimen ) and no " S " mint-marked quarters are being released into circulation, so that mintages will be determined solely by direct demand for the " S " mint-marked coins.

These have three sets of paired chromosomes, three times as many as in diploid wheat.

These experts volunteer to serve on study committees that are convened to answer specific sets of questions.

These contain pages of " drill charts ", which often either give a picture or list coordinates that band members use to find ' pages ' or ' sets ' on the field.

These personal and social goals often overshadow the goals of intellectual clarity, and spiritual transcendence.

These students, although they might read various articles in popular magazines, more often chose to report on articles found in the journals.

These were often carefully written out with a great deal of thought behind them.

These cases, for all their rarity, are so dramatic that friends and relations repeat the story until the general population may get an entirely false notion of how often the hymen is a serious problem to newly-weds.

These terms have historically been applied to any astronomical object orbiting the Sun that did not show the disk of a planet and was not observed to have the characteristics of an active comet, but as small objects in the outer Solar System were discovered, their volatile-based surfaces were found to more closely resemble comets, and so were often distinguished from traditional asteroids.

These villages, called pueblos by Spanish settlers, were often only accessible by rope or through rock climbing.

These surfacing stones were often placed in distinctive patterns.

These modifications are often essential for the function or regulation of a protein ; for example, the carboxylation of glutamate allows for better binding of calcium cations, and the hydroxylation of proline is critical for maintaining connective tissues.

These measured positions are then compared with those calculated by the laws of celestial mechanics: an assembly of calculated positions is often referred to as an ephemeris, in which distances are commonly calculated in astronomical units.

These and most other cities and large towns are now connected with asphalt-paved roads, while smaller towns are often connected by dirt roads, which may require a four-wheel-drive vehicle.

These Abrasax-stones often bear Hebraic names of God: Iao, Sabaoth, Adonai, Eloai.

These brokers often traded stocks that were speculative in nature.

These bases were prepared in advance, often by capturing an estate and augmenting its defences with surrounding ditches, ramparts and palisades.

These dilemmas are often regarded as conflicts between his view on international relations and his other loyalties.

These art pieces often served a liturgical function, whether as chalices or even as church buildings themselves.

These three personages are often difficult to tell apart, and even the ancient mythographers appear to have been perplexed about which Aeolus was which.

These guitars are most commonly used by swing and jazz players and often incorporate electronics in the form of a pickup.

These edicts often pertained to matters such as the regulation of the public markets, or what we might call " economic regulation ".

These assist in flotation, together with the vacuoles in the ectoplasm, which often contain zooxanthellae.

These effects, often several of them at a time, made it very difficult for World War II era aircraft to reach speeds much beyond 800 km / h ( 500 mph ).

These include serotonin-dopamine antagonists ( see dopamine antagonist and serotonin antagonist ), multi-acting receptor-targeted antipsychotics ( MARTA, those targeting several systems ), and dopamine partial agonists, which are often categorized as atypicals.

These two values are often interpreted as binary digits and are usually denoted by the numerical digits 0 and 1.

These BBSes often had multiple modems and phone lines, allowing several users to upload and download files at once.

These instruments had varying numbers of strings, though often including some form of drone.

; Presiding Bishop or President Bishop: These titles are often used for the head of a national Anglican church, but the title is not usually associated with a particular episcopal see like the title of a primate.