These other duties in fact include the resolving of conflicts of competence between courts, penal trials against judges for offences committed in office, disciplinary and advisory tasks and the decision in disputes about prizes taken by Dutch vessels.

One approach to resolving this problem relies on the fact that a living body is constantly losing old matter and gaining new matter.

Working on resolving what are in fact intermediate causes looks productive and feels productive.

In fact, their existence would prove that the complexity classes P and NP are not equal, thus resolving the foremost unsolved question of theoretical computer science.

The relationships between species are much obscured by this fact, and mtDNA sequence data is of dubious value in resolving their relationships ; on the other hand, nuclear DNA sequences evolve too slowly to resolve the phylogeny of the subgenus Anas for example.

Most saw no conflict between war issues and local interests ; in fact, some foresaw war as a way of resolving certain local problems.

The other major part of the claim relies on the fact that by the time the Gando Convention was signed in 1909, the Korean state ( by that time the Korean Empire ) was neither consulted nor had any way of disputing the legitimacy of the treaty as it was already a protectorate of the Japanese Empire and was essentially prevented from resolving or re-negotiating the boundary dispute as an independent state, and as such the Gando Convention, like other unequal treaties ( such as the Eulsa Treaty and the Japan-Korea treaty of 1910 ) dealing with Korean territory / governance or claims made by Imperial Japan, should be revoked and the boundary dispute rectified between Korea ( though there is no stated consensus on which of the two current Koreas should be party to this ) and the People's Republic of China ( though the Republic of China, as the nationalist successor to the Qing Dynasty, may be a more legitimate party to this on the Chinese side as it still claims all of the territory held while the Qing Dynasty still ruled China as a sovereign state ).

One example of the fruitfulness of questioning assumptions comes from questioning the assumption that " China was weak in the 19th century " and pointing out the fact that at the time in which China was supposedly weak, it managed to considerably extend its borders in Central Asia.

The fact that cognates exist ( such as the German elbinne ) could suggest a West Germanic * alb ( i ) innjo, but this is uncertain, as the examples may be simply a transference to the weak declension common in Southern and Western forms of Middle English.

The observed charge quantization, namely the fact that all known elementary particles carry electric charges which appear to be exact multiples of of the " elementary " charge, has led to the idea that hypercharge interactions and possibly the strong and weak interactions might be embedded in one Grand Unified interaction described by a single, larger simple symmetry group containing the Standard Model.

Not withstanding the fact that this report deals with weak interactions, we shall frequently have to speak of strongly interacting particles.

Contemporary Islamic scholar Abdullah Yusuf Azzam has argued the hadith is not just weak but " is in fact a false, fabricated hadith which has no basis.

Only by the strongest pressure of the Crown were Parliaments maintained during the first century of their existence and the best proof of this assertion lies in the fact that in those countries where the Crown was weak, Parliament ceased to exist.

Sept. 11th awakened the country to the fact that weak immigration enforcement presents a huge vulnerability that terrorists can exploit.

An important fact about the weak * topology is the Banach – Alaoglu theorem: if X is normed, then the closed unit ball in X * is weak *- compact ( more generally, the polar in X * of a neighborhood of 0 in X is weak *- compact ).

This practice stemmed from the fact that many alleged werewolves would be left feeling weak and debilitated after committing depredations.

Ferdinand I, a weak but ambitious and unscrupulous king, claimed the thrones of León and Castile, left vacant by the death of King Peter of Castile ( 1369 ); he based his claim on the fact that his grandmother Beatrice ( 1367 – 1385 ) belonged to the legitimate line of Castile.

The proofs of BCT1 and BCT2 for arbitrary complete metric spaces require some form of the axiom of choice ; and in fact BCT1 is equivalent over ZF to a weak form of the axiom of choice called the axiom of dependent choices.

The weak parts of this story have been identified as: the sudden and unexplained departure of the Simons ; the subsequent cruel treatment of the child-keeping him in a dark room practically out of sight ( unless any doubt of his identity was possible ), while his sister was in comparative comfort ; the cause of death, declared to be of long standing, but in fact developed rapidly, and the fact that the disease is usually not fatal and is self-limiting ; the insufficient excuse provided for the child's muteness under Gomin's regime ( he had answered Barras ) and the irregularities in the formalities in attending the death and the funeral, when a simple identification of the body by Marie Thérèse would have prevented any doubt of his death.

The president's weak position arose from the fact that the status of his office was modelled on that of the Prime Minister of the United Kingdom before 1918.

The fact that commuting matrices have a common eigenvector – and hence by induction stabilize a common flag and are simultaneously triangularizable – can be interpreted as a result of the weak Nullstellensatz, as follows: commuting matrices form a commutative algebra

In fact, the compactness theorem is equivalent to Gödel's completeness theorem, and both are equivalent to the Boolean prime ideal theorem, a weak form of the axiom of choice.

In fact, this is exactly what happens in the weak interaction: Certain radioactive decays treat " left " and " right " differently, a phenomenon which can be traced to the summation of a polar vector with a pseudovector in the underlying theory.

In the state of nature, it might be argued that certain persons ( the strong and talented ) would be able to coerce others ( the weak and disabled ) by virtue of the fact that the stronger and more talented would fare better in the state of nature.

Consumerism has weak links with the Western world, but is in fact an international phenomenon.

The third and most important process results from the fact that the combination between stimulus and power may be weak or strong ; if weak, then tile two elements are said to be movable, and they may flow over from one to another of the already formed psychical products.

The strong Goldbach conjecture is in fact very similar to the twin prime conjecture, and the two conjectures are believed to be of roughly comparable difficulty.

" Alternate History " looks at " what if " scenarios from some of history's most pivotal turning points and presents a completely different version, sometimes based on science and fact, but often based on conjecture.

a conjecture based on their great stature, their light-blue eyes, and the fact that the Germans call robbers Cimbri .’’

In fact, whether one can smooth certain higher dimensional spheres was, until recently, an open problem — known as the smooth Poincaré conjecture.

Novels based on a mix of historical fact and conjecture about Banks ' early life

In fact, by assuming the Elliott – Halberstam conjecture or a slightly weaker version, they were able to show that there are infinitely many n such that at least two of n, n + 2, n + 6, n + 8, n + 12, n + 18, or n + 20 are prime.

" But in fact, the critic employs conjecture at every step of the process.

It had probably not seemed plausible that there would be ' enough ' such rational factors, before the conjecture was enunciated ; and in fact the numerical evidence was slight until around 1970, when tables began to confirm it.

In fact, the elliptization conjecture is logically equivalent to two simpler conjectures: the Poincaré conjecture and the spherical space form conjecture.

In fact, it predates the conjecture and provided some of Hodge's motivation.

It is known that if the Hodge conjecture is true, then the locus of all points on the base where the cohomology of a fiber is a Hodge class is in fact an algebraic subset, that is, it is cut out by polynomial equations.

The origin of the name ' porterhouse ' is the subject of much conjecture but little established fact.

There is, in fact, no hard evidence -- only conjecture -- that any such " Ur-Hamlet " ever existed.

The fact that heavy bodies have always a tendency to fall to the earth, no matter at what height they are placed above the Earth's surface, seems to have led Newton to conjecture that it was possible that the same tendency to fall to the earth was the cause by which the moon was retained in its orbit round the earth.

Some support for this conjecture comes from the fact that in certain dimensions ( e. g. 10 ) the densest known irregular packing is denser than the densest known regular packing.

Traditional historians in particular denounced Schama's integration of fact and conjecture to produce a seamless narrative but later assessments took a more relaxed view of the experiment.

It is easy to see that we can in fact choose the first M of the E < sub > p </ sub > as we like, as an application of the Chinese remainder theorem, for any fixed integer M. In the case where E has complex multiplication the conjecture is replaced by another, simpler law.

( This gradient conjecture due to René Thom was in fact well-known among specialists by the early 70's, having been often discussed during that period by Thom during his weekly seminar on singularities at the IHES.

The conjecture makes no statement about whether this sequence of values will converge ; it typically does not, in fact.

In fact, Fred Galvin proved the Dinitz conjecture as a special case of his theorem stating that the list chromatic index of any bipartite multigraph is equal to its chromatic index.

The large amount of blood spilled, combined with the fact that Thompson had gained weight during her imprisonment even while resisting food, led to conjecture that she had been pregnant.