One consequence is the occurrence of occasional conflicts because private owners of some inholdings object to public programs of use on neighboring National Forest or other Federal land, or because such ownerships are developed for uses that are not compatible with use for the public of neighboring National Forest land.

:: One consequence is that people are more cooperative if it is more likely that individuals will interact again in the future.

One consequence of the Hindu and Spiritist beliefs is that our current lives are both afterlife and a beforelife.

Deane and J. R. Thomson write this valid conclusion, “ The Book of Obadiah is occupied with one subject – the punishment of Edom for its cruel and unbrotherly love conduct towards Judah ...” One can link this idea of punishment to one of the major prophets “ Ezekiel ” who “... interprets the exile to Babylon and the destruction of Jerusalem as deserved punishments for the sins of those who themselves committed them .” Verses 3-7 in Obadiah explain to the reader the reason for the punishment theme, “ Confidence in one ’ s power, intelligence, allies, or the topographical features of one ’ s territory is often mentioned as an attribute of those who foolishly confront the Lord and are consequently punished .” Although destruction is vital to understanding Obadiah, it is of note to understand the destruction being a consequence of action.

One consequence of this is that in standard general relativity, the universe began with a singularity, as demonstrated by Stephen Hawking and Roger Penrose in the 1960s.

One of these, Itō's lemma, expresses the composite of an Itō process ( or more generally a semimartingale ) dX < sub > t </ sub > with a twice-differentiable function f. In Itō's lemma, the derivative of the composite function depends not only on dX < sub > t </ sub > and the derivative of f but also on the second derivative of f. The dependence on the second derivative is a consequence of the non-zero quadratic variation of the stochastic process, which broadly speaking means that the process can move up and down in a very rough way.

Plotinus, a third-century Platonist, taught that the One transcendent absolute caused the universe to exist simply as a consequence of its existence-" creatio ex deo.

One consequence of this is that its users face difficult choices in targeting, to avoid expending the missiles on targets of low value.

One consequence of this is that monetarist economists do not believe that the rise in the cost of oil was a direct cause of the inflation of the 1970s.

One consequence of this theory is a variable speed of light, where photon speed would vary with energy, and some zero-mass particles might possibly travel faster than c. However, even if this theory is accurate, it is still very unclear whether it would allow information to be communicated, and appears not in any case to allow massive particles to exceed c.

One consequence not foreseen by the builders of the system was that with the almost immediate reporting of newsworthy events, tens of thousands of people worldwide — along with criminals — would flock to the scene of anything interesting, hoping to experience or exploit the instant, thus disorder and confusion be created.

One more consequence of the catastrophe at the battle of Edessa was that Gallienus lost control over the two provinces of Germania, Britain, Spain and a large part of Gaul, when another general, Postumus, had declared his own realm ( typically known today as the Gallic Empire ).

One consequence of haplodiploidy is that females on average actually have more genes in common with their sisters than they do with their own daughters.

One important consequence of the revolt was the final collapse of the Mughal dynasty.

One consequence of the decimation of the nomadic Kazakh population and the in-migration of non-Kazakhs was that by the 1970s Kazakhstan was the only Soviet republic in which the eponymous nationality was a minority in its own republic.

One consequence of the Stalinist division of Central Asia into five republics is that many ethnic Kyrgyz do not live in Kyrgyzstan.

" One legal consequence of this is that it is clearly unlawful to annex territory by force.

One consequence of the Act is that solicitors, accountants, tax advisers and insolvency practitioners who suspect ( as a consequence of information received in the course of their work ) that their clients ( or others ) have engaged in tax evasion or other criminal conduct from which a benefit has been obtained, are now required to report their suspicions to the authorities ( since these entail suspicions of money laundering ).

One consequence of Mohist understanding of mathematics and the physical sciences combined with their skills as artisans was that they became the pre-eminent siege engineers of pre Qin unification China, capable of both reducing defences and holding cities.

One consequence of this is that many spellings come to reflect a word's morphophonemic structure rather than its purely phonemic structure ( for example, the English regular past tense morpheme is consistently spelled-ed in spite of its different pronunciations in various words ).

One consequence of these resonances is that a separation of at least 30 AU is maintained when Pluto crosses Neptune's orbit.

One particularly important consequence of the principle is the elaborate electron shell structure of atoms and the way atoms share electrons, explaining the variety of chemical elements and their chemical combinations.

One group proceeded by way of Nice and another via Embrun, joining up at Avignon, where they plundered the territory and were as a consequence stopped from crossing the Rhone by Mummolus.

One motivation for this use is that a number of generally accepted mathematical results, such as Tychonoff's theorem, require the axiom of choice for their proofs.

One version of Ado's theorem is that every finite dimensional Lie algebra is isomorphic to a matrix Lie algebra.

One important aspect is that these may have simpler topological properties: see for example Kuiper's theorem.

One can in this formalism state Heisenberg's uncertainty principle and prove it as a theorem, although the exact historical sequence of events, concerning who derived what and under which framework, is the subject of historical investigations outside the scope of this article.

One obtains the value f ( r ) by substitution of the value r for the symbol X in P. One reason to distinguish between polynomials and polynomial functions is that over some rings different polynomials may give rise to the same polynomial function ( see Fermat's little theorem for an example where R is the integers modulo p ).

One might expect that by the Hahn-Banach theorem for bounded linear functionals, every bounded linear functional on C < sub > c </ sub >( X ) extends in exactly one way to a bounded linear functional on C < sub > 0 </ sub >( X ), the latter being the closure of C < sub > c </ sub >( X ) in the supremum norm, and that for this reason the first statement implies the second.

* One relator groups ( this is a theorem of Magnus ), including:

One common form is the Shannon formulation ( proposed by Scott MacKenzie, professor at York University, and named for its resemblance to the Shannon – Hartley theorem ) for movement along a single dimension:

One proof of the impossibility of finding a planar embedding of K < sub > 3, 3 </ sub > uses a case analysis involving the Jordan curve theorem, in which one examines different possibilities for the locations of the vertices with respect to the 4-cycles of the graph and shows that they are all inconsistent with a planar embedding.

One of the implications of the theorem is that if a discrete dynamical system on the real line has a periodic point of period 3, then it must have periodic points of every other period.

One can therefore say that the contemporary paradigm of social choice theory started from this theorem.

One can prove the compactness theorem using Gödel's completeness theorem, which establishes that a set of sentences is satisfiable if and only if no contradiction can be proven from it.

One of the fundamental theorems of Galois theory states that an equation is solvable in radicals if and only if it has a solvable Galois group, so the proof of the Abel – Ruffini theorem comes down to computing the Galois group of the general polynomial of the fifth degree.

One informal interpretation of the second recursion theorem is that any partial computable function can guess an index for itself.

One difference between the first and second recursion theorems is that the fixed points obtained by the first recursion theorem are guaranteed to be least fixed points, while those obtained from the second recursion theorem may not be least fixed points.

One is a result from his doctoral thesis in proof theory, and the other one half of the Herbrand – Ribet theorem.

One then usually is looking for the smallest set that has the property of being a fixed point of the function f. Abstract interpretation makes ample use of the Knaster – Tarski theorem and the formulas giving the least and greatest fixpoints.

One of his results was a 1901 theorem proving that the Riemann hypothesis is equivalent to a stronger form of the prime number theorem.

One starts from an initial probability ( a prior ), and then updates that probability using Bayes ' theorem after observing evidence.

* One of the results of Fourier analysis is Parseval's theorem which states that the area under the energy spectral density curve is equal to the area under the square of the magnitude of the signal, the total energy: