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Page "Monotonic function" ¶ 29
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Furthermore and strict
Furthermore, the classification of covering spaces makes strict reference to particular subgroups of, specifically distinguishing between isomorphic but conjugate subgroups, and therefore amalgamating the elements of an isomorphism class into a single featureless object seriously decreases the level of detail provided by the theory.
Furthermore, the display of wealth by the upper ranks of the church, which contrasted with the common expectation of poverty and strict adherence to principles, was used by the Papacy's enemies in raising charges against the popes: King Philippe of France employed the strategy, as did Emperor Louis IV.
Furthermore, the Local Ministry of Fisheries adheres to very strict rules and regulations regarding the catch of hake.
Furthermore all legislation that is not a law in the strict sense of the word ( such as policy guidelines or laws proposed by provincial or municipal government ) can be tested on their constitutionality.
Furthermore, since strict logic is to be adhered to, there are durable services as well that ought to be treated in the same way ; the service consumers derive from appendectomies or crowned teeth continue for a long time.
* Furthermore, CLS at times claims that legal materials are inherently contradictory, i. e. the structure of the positive legal order is based on a series of binary oppositions such as, for instance, the opposition between individualism and altruism or formal realizability ( i. e. preference for strict rules ) and equitable flexibility ( i. e. preference for broad standards ).
Furthermore, < will denote the strict order induced by ≤.
Furthermore, since this study is ongoing, they are not " cramming " in the traditional sense of the word, and therefore, these language schools are not cram schools by strict definition.
Furthermore, because of the social and biological implications of reproduction, and the irreversibility of sterilization operations, Justice Douglas also stressed that compulsory sterilization laws in general should be held to strict scrutiny:
Furthermore, the case does not, on a strict reading, constitute a breach of Parliamentary sovereignty.
Furthermore, the group is responsible for the strict laws banning all thinking machines under pain of death ( and sometimes torture ) thus making them anathema.
Furthermore, President Obama made certain strict guidelines in regards to standardizing fuel economy in vehicles, especially the passenger vehicles.
Furthermore, strict rules such as fouls given to penalties ( such as the competitor's elbow leaving a matted area where the elbow is to remain at all times, or a false start ), and trying to escape a possible arm pin by breaking the grip with the opponent may result in a loss at the table.
Furthermore, Halakha lacks strict adherence to precedence, an appellate system, and " secondary rules of recognition " ( cp.
Furthermore, an adult trespasser who is injured while on a defendant's property cannot sue under a theory of strict liability, even if the landowner was engaged in ultrahazardous activities, such as the keeping of wild animals, or the use of explosives.
Furthermore, the above can be expressed in a more strict logical form ( where K ( x ) means " x is the king of France ", B ( x ) means " x is bald ", the bullet means " and ", and the arrow means " if-then "):

Furthermore and relations
Furthermore, Pericles employed a number of offices to maintain Athens ' empire: proxenoi, who fostered good relations between Athens and League members ; episkopoi and archontes, who oversaw the collection of tribute ; and hellenotamiai, who received the tribute on Athens ' behalf.
Furthermore, Eritrea's diplomatic relations with Djibouti were briefly severed during the border war with Ethiopia in 1998 due to a dispute over Djibouti's intimate relation with Ethiopia during the war but were restored and normalized in 2000.
Furthermore, during George's lifetime his nearest relations his son-in-law Philip of Hesse, and his brother Heinrich, joined the Reformers.
Furthermore, Anglo – German relations cooled as Germany aggressively tried to build a new empire and engaged in a naval race with Britain ; London refused to agree to the formal alliance that Germany sought.
Furthermore, " the state shall establish diplomatic as well as political, economic and cultural relations with all friendly countries, on principles of complete equality, independence, mutual respect, noninterference in each other ’ s affairs, and mutual benefit ".
Furthermore, the labor theory of value popularized by classical economists such as Adam Smith and David Ricardo were utilized by a new ideology called socialism to critique the relations of property to other economic issues, such as profit, rent, interest, and wage-labor.
Furthermore, the General Staff coordinates the military relations of TAF with NATO member states and other friendly nations.
Furthermore, transforming WordNet into a lexical ontology usable for knowledge representation should normally also involve ( i ) distinguishing the specialization relations into subtypeOf and instanceOf relations, and ( ii ) associating intuitive unique identifiers to each category.
Furthermore, each contradiction ( including class struggle, the contradiction holding between relations of production and the concrete development of forces of production ) expresses itself in a series of other contradictions, some dominant, others not.
Furthermore this conference stipulated specific territories could have special relations with the Kingdom of the Netherlands if they wanted to.
( See: Cultural hegemony ) Furthermore, in the capitalist mode of production, the philosophic collusion of religion in justifying the relations of production facilitates the realisation, and then worsens, the alienation ( Entfremdung ) of the worker from his and her humanity ; it is a socio-economic role independent of religion being “ the opiate of the masses ”.
Furthermore, the Sportpalast speech had proved a public relations disaster ; the Nazis, who had promised " freedom of religion " in point 24 of their ( largely meaningless ) 25-point program, now appeared to be dictating religious doctrine.
Furthermore, the governing ideology mystifies the economic relations of society and therefore places the proletariat in a state of false consciousness that serves to reproduce the working class.
Furthermore, competing worldviews that were incompatible between China and Britain, the former holding entrenched beliefs that China was the " central kingdom ", and the latter's push for rapid liberalization of trade relations, worsened ties.
Furthermore, the policy was heavily tied to the person of President Kekkonen, and he consequently exploited his position as a " guarantor of Soviet relations " against political opponents.
Furthermore, it was revealed that her testimony was organized as part of the Citizens for a Free Kuwait public relations campaign which was run by Hill & Knowlton for the Kuwaiti government.
Furthermore, by 1964, Chairman Mao asserted that a counter-revolution in the USSR had re-established capitalism there ; consequently, the Chinese and Soviet Communist parties broke relations, and the Warsaw Pact Communist parties followed Soviet suit.
Furthermore, he described the typical career path for aspiring political apparatchiks " a university degree in law or industrial relations, a paid job in a union, leadership in a union, various positions in the ALP ( including paid positions ) culminating in a State Secretaryship or the like, nomination to the Senate or to a safe House of Representatives seat.
Furthermore, this passage has raised quite a few theories about family relations between Slavic gods.
Furthermore, this passage has raised quite a few theories about family relations between Slavic gods.
Furthermore the University has close relations with the Pisan Institutes of the National Research Council, with many cultural institutions of national and international importance, and with industry, especially that of information technology, which went through a phase of rapid expansion in Pisa during the nineteen sixties and seventies.
Furthermore, as Oslo stalled and relations between Israelis and Palestinians began to deteriorate, and particularly following the outbreak of the Al-Aqsa Intifada, Yosef and the party pulled " rightward ", supporting the Likud.
Furthermore, many countries have significant trade relations with China.

Furthermore and <
Furthermore, while Neuromancer < nowiki >'</ nowiki > s narrator may have had an unusual " voice " for science fiction, much older examples can be found: Gibson's narrative voice, for example, resembles that of an updated Raymond Chandler, as in his novel The Big Sleep ( 1939 ).
Furthermore, if b < sub > 1 </ sub > and b < sub > 2 </ sub > are both coprime with a, then so is their product b < sub > 1 </ sub > b < sub > 2 </ sub > ( modulo a it is a product of invertible elements, and therefore invertible ); this also follows from the first point by Euclid's lemma, which states that if a prime number p divides a product bc, then p divides at least one of the factors b, c.
Furthermore, all solutions x of this system are congruent modulo the product, N = n < sub > 1 </ sub > n < sub > 2 </ sub >… n < sub > k </ sub >.
Furthermore, Oman presents in its stratigraphic record a large negative carbon isotope excursion, within the Shuram Formation that is clearly away from any glacial evidence < ref name = LeGuerroue2006b >
Furthermore, these two probabilities are equally as likely as any other 21-flip combinations that can be obtained ( there are 2, 097, 152 total ); all 21-flip combinations will have probabilities equal to 0. 5 < sup > 21 </ sup >, or 1 in 2, 097, 152.
Furthermore, aside from helium and hydrogen, it is the least dense element in a solid or liquid state, being only 2 / 3 as dense as liquid nitrogen ( 0. 808 g / cm < sup > 3 </ sup >).
Furthermore, whenever p is a Sophie Germain prime — that is, 2p + 1 is also prime — and 2p + 1 is congruent to 1 or 7 mod 8, then 2p + 1 will be a factor of 2 < sup > p </ sup >− 1.
Furthermore, insulating materials such as silicon dioxide ( SiO < sub > 2 </ sub >), when exposed to photons with energy greater than the band gap, release free electrons and holes which subsequently cause adverse charging.
Furthermore, ι < sup >− 1 </ sup > is also continuous, so ι is a homeomorphism.
Furthermore, for mathematicians, according to this formula the gluon color field can be represented by a SU ( 3 )- Lie algebra-valued " curvature "- 2-form where is a " vector potential "- 1-form corresponding to G and is the ( antisymmetric ) " wedge product " of this algebra, producing the " structure constants " f < sup > abc </ sup >.
Furthermore, this splits into the two spin spaces Δ < sub >+</ sub >
Furthermore, the net potential difference of the galactic electric field in interstellar space is only 1. 6 × 10 < sup >− 19 </ sup > volt.
Furthermore, this fixed point can be found as follows: start with an arbitrary element x < sub > 0 </ sub > in X and define an iterative sequence by x < sub > n </ sub >
Furthermore, maximal ideals can be generalized by defining a maximal sub-bimodule M of a bimodule B to be a proper sub-bimodule of M which is contained by no other proper sub-bimodule of M. So, the maximal ideals of R are exactly the maximal sub-bimodules of the bimodule < sub > R </ sub > R < sub > R </ sub >.
Furthermore, MgB < sub > 2 </ sub > superconducts at temperatures higher than LTS ( its critical temperature is 39 K, compared with less than 10 K for NbTi and 18. 3 K for Nb < sub > 3 </ sub > Sn ), introducing the possibility of using it at 10-20 K in cryogen-free magnets or perhaps eventually in liquid hydrogen.
Furthermore, the conductivity can undergo a quantization in energy: i. e. the energy of the electrons going through a nanowire can assume only discrete values, which are multiples of the Von Klitzing constant G = 2e < sup > 2 </ sup >/ h ( where e is the charge of the electron and h is the Planck constant ).

2.826 seconds.