But though the Southern States, when drafting a constitution to unite themselves, narrowed the difference to this fine point by omitting to assert the right to secede, the fact remained that by seceding from the Union they had already acted on the concept that it was composed primarily of sovereign states.

But the fact that 70,524 other Americans gave the same measure of devotion to an opposing concept served Liberty-and-Union in other essential ways.

The tremendous emphasis on the 5 in the Lo Shu square -- for purely mathematical reasons -- and the fact that this number so neatly symbolized the heart and center of the universe, could well explain why the Old Chinese seem to have so revered the number 5, and why they put so much stress on the concept of Centrality.

Ramsey ( 2004: 340 ) stated that " the genetic relationship between Korean and Japanese, if it in fact exists, is probably more complex and distant than we can imagine on the basis of our present state of knowledge ", a concept later restated by Lee ( 2011 ).

In fact, Gödel ( 1936 ) proposed something stronger than this ; he observed that there was something " absolute " about the concept of " reckonable in S < sub > 1 </ sub >":

From the time of Ancient Greece and Ancient Rome, this fact has been addressed by empires adopting the concept of universalism, and applying it to their imperial policies towards their subjects far from the imperial capitol.

Beyond the calorimetric fact noted above that the latent heats and are always of opposite sign, it may be shown, using the thermodynamic concept of work, that also

Coins have long been linked to the concept of money, as reflected by the fact that in some other languages the words " coin " and " currency " are synonymous.

Describing himself as non-religious and as accepting the concept of natural selection as a well-established fact, Stove nonetheless attacked what he described as flawed concepts proposed by some " Ultra-Darwinists ".

The concept of duality here is closely related to the duality in projective geometry, where lines and edges are interchanged ; in fact it is often mistakenly taken to be a particular version of the same.

This concept was to be complicated by the fact that the corpse had begun to putrefy.

Pauling first proposed the concept of electronegativity in 1932 as an explanation of the fact that the covalent bond between two different atoms ( A – B ) is stronger than would be expected by taking the average of the strengths of the A – A and B – B bonds.

The German Protestant theologian Martin Luther saw a parallel between Paul and Christ in their work of reconciliation, which is also in fact contained within the concept of Christian Grace.

A related concept, the " Finagle factor ", is an ad hoc multiplicative or additive term in an equation which can only be justified by the fact that it gives more correct results.

'" Martin Gottfried wrote: " The concept behind ' Follies ' is theater nostalgia, representing the rose-colored glasses through which we face the fact of age ... the show is conceived in ghostliness.

The concept of law, for Radbruch, is " nothing other than the given fact, which has the sense to serve the idea of law.

Opposition to the use of violence has not prohibited anarcho-pacifists from accepting the principle of resistance or even revolutionary action ( see: non-violent revolution ) provided it does not result in violence ; it was in fact their approval of such forms of opposition to power that lead many anarcho-pacifists to endorse the anarcho-syndicalist concept of the general strike as the great revolutionary weapon.

In fact, the name Mormon became synonymous with the concept of restoring the covenants .</ p >

" According to Rand, " it is only the concept of ' Life ' that makes the concept of ' Value ' possible ," and, " the fact that a living entity is, determines what it ought to do .".

If we acknowledge the fact that we only can measure a probability with some error of measurement attached, we still get into problems as the error of measurement can only be expressed as a probability, the very concept we are trying to define.

The fact that how fast reactions occur can often be specified with just a few concentrations and a temperature, instead of needing to know all the positions and speeds of every molecule in a mixture, is a special case of another key concept in physical chemistry, which is that to the extent an engineer needs to know, everything going on in a mixture of millions of billions of billions of particles can often be described by just a few variables like pressure, temperature, and concentration.

In other words, the fact that an infinite list cannot realistically be specified means that the concept of " number " in the infinite sense ( i. e. the continuum ) cannot be described by the new theory proposed in PM Second Edition.

Despite its advantages, the concept of implementing the game logic in a separate scripting language and writing an interpreter for it was soon dropped ( even by John Carmack who had implemented this concept ) because of the overall inflexibility of an interpreted language, the increasingly complex game logic and the fact that the game logic could be packaged into a native Dynamic link library whose source code could be released to the mod community.

The real reason for his rejection, they argued, is the fact that Georgia law automatically cuts off funds for any desegregated school.

The customary acceptance of the fact that any real number x has a decimal expansion is an implicit acknowledgment that a particular Cauchy sequence of rational numbers ( whose terms are the successive truncations of the decimal expansion of x ) has the real limit x.

German haben ( like English have ) in fact comes from PIE * kap, ' to grasp ', and its real cognate in Latin is capere, ' to seize, grasp, capture '.

By 1982 the stagnation of the Soviet economy was obvious, as evidenced by the fact that the Soviet Union had been importing grain from the U. S. throughout the 1970s, but the system was so firmly entrenched that any real change seemed impossible.

In one opinion, this pattern is clearly present among the modern Romance tongues, with Italian and Spanish having a high degree of mutual comprehensibility, which neither language shares with French, despite some claiming that both languages are genetically closer to French than to each other: In fact, French-Italian and French-Spanish relative mutual incomprehensibility is due to French having undergone more rapid and more pervasive phonological change than have Spanish and Italian, not to real or imagined distance in genetic relationship.

Hesiod and Stesichorus tell the story according to which after her death Iphigenia was divinised under the name of Hecate, fact which would support the assumption that Artemis Tauropolos had a real ancient alliance with the heroine, who was her priestess in Taurid and her human paragon.

In fact, every real n-dimensional vector space V is isomorphic to R < sup > n </ sup >.

In the fifth century, Pope Dioscorus, the Patriarch of Alexandria, rejected certain Christological dogmas promulgated by the Council of Chalcedon, and as a result, the Oriental Orthodox churches split from the rest ; however they continued the episcopal tradition, and today in fact there is dialog between the various orthodox churches over whether the schism was due to real differences or simply translation failures.

The specific feature in Japan has been the fact that these marriages have been soon incorporated as elements of tradition which controlled the marriages of later generations, though the original practical alliance had lost its real meaning.

Other independent companies were grouped under the Mutual banner in 1912, and there were also important new entrants, particularly the Jesse Lasky Feature Play Company, and Famous Players, which were both formed in 1913 to take advantage of the fact that films could reproduce the real substance of a stage play ( plus embellishments ), and so the best plays and actors from the legitimate stage could be enticed into films.

They ingratiate themselves with the all-powerful network bosses, while the real work is in fact done by their long-suffering production staff.

Rather than invite such skepticism, Fichte made the radical suggestion that we should throw out the notion of a noumenal world and instead accept the fact that consciousness does not have a grounding in a so-called " real world ".

Latin terminology is often used to describe modern languages, at times erroneously, as in the application of the term " pluperfect " to the English " past perfect ", the application of " perfect " to what in English more often than not is not " perfective ", or where the German simple and perfect pasts are called respectively " Imperfektum " and " Perfektum ", despite the fact that neither has any real relationship to the aspects implied by the use of the Latin terms.

With inflation hitting 33 percent in 1990, there was, in fact, a negative real interest rate, but this situation reversed in 1991 when rates were high relative to inflation.

Among several others, they highlight the fact that maintaining a judicial system, a fundamental requirement of the civil right to due process before the law and other rights relating to judicial process, is positive, resource-intensive, progressive and vague, while the social right to housing is precise, justiciable and can be a real ' legal ' right.

", because the writer wrote it from a real experience where someone sold him the car based on the fact that it was my car.

The transformation may be temporary or permanent ; the were-animal may be the man himself metamorphosed ; may be his double whose activity leaves the real man to all appearance unchanged ; may be his soul, which goes forth seeking whom it may devour, leaving its body in a state of trance ; or it may be no more than the messenger of the human being, a real animal or a familiar spirit, whose intimate connection with its owner is shown by the fact that any injury to it is believed, by a phenomenon known as repercussion, to cause a corresponding injury to the human being.

And in fact, Cantor's diagonal argument is constructive, in the sense that given a bijection between the real numbers and natural numbers, one constructs a real number which doesn't fit, and thereby proves a contradiction.

According to Charles Nayoumealuk, who was interviewed in Nanook Revisited ( 1988 ), " the two women in Nanook-Nyla ( Alice Nuvalinga ) and Cunayou ( whose real name we do not know ) were not Allakariallak's wives, but were in fact common-law wives of Flaherty.

Sobran also believes " scholars have largely ignored one of the chief themes of the Sonnets: the poet's sense of disgrace .... here can be no doubt that the poet is referring to something real that he expects his friends to know about ; in fact, he makes clear that a wide public knows about it ... Once again the poet's situation matches Oxford's ....

For instance, the ring ( in fact field ) of complex numbers, which can be constructed from the polynomial ring R over the real numbers by factoring out the ideal of multiples of the polynomial.