For readjustment to the U.S., volunteers should be given some separation allowance at the end of their overseas service, based on the length of time served.

For the simple electric dipole given above, the electric dipole moment points from the negative charge towards the positive charge, and has a magnitude equal to the strength of each charge times the separation between the charges.

For Hungary, this is a history of more than 400 years of domination by great powers — the Ottomans, the Habsburg dynasty, the Germans during World War II, and the Soviets during the Cold War -- and a geography of regional instability and separation from Hungarian minorities living in neighboring countries.

For some applications, the separation is preceded by wafer backgrinding in order to reduce the wafer thickness.

For efficiency, most microkernels contain schedulers and manage timers, in violation of the minimality principle and the principle of policy-mechanism separation.

For point masses the gravitational energy decreases without limit as they approach zero separation, and it is convenient and conventional to take the potential energy as zero when they are an infinite distance apart, and then negative ( since it decreases from zero ) for smaller finite distances.

For instance, Japanese barabara is used to reflect an object's state of disarray or separation, and shiiin is the onomatopoetic form of absolute silence ( used at the time an English speaker might expect to hear the sound of crickets chirping or a pin dropping in a silent room, or someone coughing ).

For the last 500 years, religious and cultural intolerance, more than the small travel barrier that the straits present, has come to act as a powerful enforcing agent of the cultural separation that exists between these two groups.

For a stereo mix of relatively simple signals it is now possible to make a pretty accurate separation, although some artifacts remain.

" For example, while " winnowing " usually refers exclusively to the separation of chaff from grain, and " selecting " refers exclusively to the separation of debris from grain, they refer in the Talmudic sense to any separation of intermixed materials which renders edible that which was inedible.

For this he was thrown into Beauchamp Tower, and after a year's liberation again imprisoned, in December, 1533, on the charges of disseminating the prophecies of the Maid of Kent, encouraging the queen " obstinately to persist in her wilful opinion against the same divorce and separation ", and maintaining her right to the title of queen.

For more on this issue, see History of the separation axioms.

For good performance of the gain medium, the separation between sub-levels should be larger than working temperature ; then, at pump frequency, the absorption dominates.

For example, if the wire and the base material get too close, the current will rapidly increase, which in turn causes the heat to increase and the tip of the wire to melt, returning it to its original separation distance.

For example, in a wing of aspect ratio 6, and a wing separation distance of one chord length, the biplane configuration can produce about 20 percent more lift than a single wing of the same planform.

There is an increasing trend of using ICP-MS as a tool in speciation analysis, which normally involves a front end chromatograph separation and an elemental selective detector, such as AAS and ICP-MS. For example, ICP-MS may be combined with size exclusion chromatography and quantitative preparative native continuous polyacrylamide gel electrophoresis ( QPNC-PAGE ) for identifying and quantifying native metal cofactor containing proteins in biofluids.

For more on this issue, see History of the separation axioms.

For separation hydrophilic polyolefin nonwovens are used.

For this reason, it was proposed that the original finite-dimensional space be mapped into a much higher-dimensional space, presumably making the separation easier in that space.

For over 400 years that followed, Norway would be ruled from Denmark, until its separation from that country in 1814.

For example, the solution APARTHEID might be clued as " Bigotry aside, I'd take him ( 9 )" in the cryptic list, and " Racial separation ( 9 )" in the straight list.

For finite sets X, the axiom of choice follows from the other axioms of set theory.

For a first order predicate calculus, with no (" proper ") axioms, Gödel's completeness theorem states that the theorems ( provable statements ) are exactly the logically valid well-formed formulas, so identifying valid formulas is recursively enumerable: given unbounded resources, any valid formula can eventually be proven.

For example, Hacking writes " And neither the Dutch book argument, nor any other in the personalist arsenal of proofs of the probability axioms, entails the dynamic assumption.

For example, it is immediately proven from the axioms that the identity element of a group is unique.

For example, the problem of trisecting an angle with a compass and straightedge is one that naturally occurs within the theory, since the axioms refer to constructive operations that can be carried out with those tools.

For example, Euclid assumed implicitly that any line contains at least two points, but this assumption cannot be proved from the other axioms, and therefore must be an axiom itself.

For example, a group is an algebraic object consisting of a set together with a single binary operation, satisfying certain axioms.

For instance, abstract algebra arises by relaxing the axioms of a vector space, leading to a number of generalizations.

* complete: For each statement in Presburger arithmetic, either it is possible to deduce it from the axioms or it is possible to deduce its negation.

For bipartite pure states, the von Neumann entropy of reduced states is the unique measure of entanglement in the sense that it is the only function on the family of states that satisfies certain axioms required of an entanglement measure.

For example, in an axiomatic system, proof of soundness amounts to verifying the validity of the axioms and that the rules of inference preserve validity ( or the weaker property, truth ).

For example, in the " game " of Euclidean geometry ( which is seen as consisting of some strings called " axioms ", and some " rules of inference " to generate new strings from given ones ), one can prove that the Pythagorean theorem holds ( that is, you can generate the string corresponding to the Pythagorean theorem ).

For example, a group is an algebraic object consisting of a set together with a single binary operation, satisfying certain axioms.

For example, Euclidean geometry without the parallel postulate is incomplete ; it is not possible to prove or disprove the parallel postulate from the remaining axioms.

For example, one might take all true statements about the natural numbers to be axioms ( and no false statements ), which gives the theory known as " true arithmetic ".

" For Frye critical integrity means that " the axioms and postulates of criticism.

# Structures such as fields have some axioms that hold only for nonzero members of S. For an algebraic structure to be a variety, its operations must be defined for all members of S ; there can be no partial operations.

For example, one may replace the three axioms FALSE, NOT-1 ', and NOT-2 ' with the two axioms

For example, he suggests that the properties described as natural phenomena by Schenker be considered axioms and he also formulated a system to compose twelve-tone music that was " equally intricate and fruitful.

For the definition of a specific bargaining solution it is usual to follow Nash's proposal, setting out the axioms this solution should satisfy.

For example, the treatment of the projective plane starting from axioms of incidence is actually a broader theory ( with more models ) than is found by starting with a vector space of dimension three.