Thus, the task is to find universal properties that uniquely determine the objects of interest.

Thus, despite its universal occurrence, diamagnetic behavior is observed only in a purely diamagnetic material.

Thus songs were passed on through many generations as an oral tradition until writing was more universal.

Thus, for Rand, the fact that consciousness must itself possess identity implies the rejection of both universal skepticism based on the " limits " of consciousness and any claim to revelation, emotion or faith based belief.

Thus it is assumed that the property is a universal which is distinct from the particular individual who has the property ( MacLeod & Rubenstein, 2006, § 1b ).

Thus, the main difference between Gregory's conception of ἀποκατάστασις and that of Origen would be that Gregory believes that mankind will be collectively returned to sinlessness, whereas Origen believes that personal salvation will be universal.

Thus, the subaltern relationship between universal and existential also does not hold, since for a nonexistent S, " All S is P " is true but does not entail " Some S is P ", which is false.

Thus, attempts to define electrochemical potential in this way cannot lead to the kind of universal parameter that thermodynamics ideally requires.

Thus absolute, universal power was vested under early Islam in the original Caliphate ( before it became the political toy of worldly powers ' behind the throne ' and was even politically discarded by essentially secular princes ), and later again claimed by Mahdis.

Thus, if services that had been classified as telecommunications services are re-classified as information services, as recently occurred for high-speed digital subscriber line (“ DSL ”) services, then the universal service assessment base will decline and carriers that depend on universal service funding may see a decline in support.

Thus it can be understood that the Zulu Nation's adoption of " Factology vs Beliefs ," was an effort to reorganize the Nation to be more accessible by more people of even more different belief systems, due to the ever expansion of Hip Hop culture worldwide causing a bigger need for a much more universal Hip Hop preservation society.

Thus, it is not willed to make laziness universal, and a rational being has imperfect duty to cultivate its talents.

Thus, there are really no policies or positions that could be considered universal among social conservatives.

Thus, together with negation, only one of either the universal or existential quantifier is needed to perform both tasks:

Thus, in the decree on faith which Innocent III published with the synod of the Lateran IV, these things are written: ' There is one universal Church of the faithful outside of which no one at all is saved.

Thus, for instance a product certification mark for a fire door or for a spray fireproofing product, does not signify its universal acceptance for use within a building.

Thus Akhenaten extended even further the heretical belief that Aten was not the disc or orb of the sun ( the Egyptian sun god Ra ) but a universal spiritual presence ( see Akhenaten and Atenism ).

Thus, high illiteracy rates went hand in hand with the absence of universal suffrage by secret ballot and one demand for a free press, independent from the then dominant economic influence.

Thus satisfying allowing universal service.

Thus the study of the rise of such empires is of nearly universal interest, not just for historical reasons.

Thus Kant arrives at the conclusion that all pure mathematics is synthetic though a priori ; the number 7 is seven and the number 5 is five and the number 12 is twelve and the same principle applies to other numerals ; in other words, they are universal and necessary.

Thus projective representations of G can be understood in terms of linear representations of ( certain ) central extensions of G. Notably, for G a perfect group there is a single universal perfect central extension of G that can be used.

Thus, Jefferson ’ s admonition that an educated electorate was essential if liberty were to be preserved is transmuted into a call for universal public education.

Thus, one of the central ideas in postcolonial feminism is that by using the term ' woman ' as a universal group, they are then only defined by their gender and not by social classes and ethnic identities.

Thus, there has come into being a situation in which the state must raise all of its own revenues and, in addition, must give assistance to its local governments.

Thus Af denotes the state of the feed to the R-stage process, and Af the state of the product from the last stage.

Thus, he supported funding to the state to assist the expansion of the East Tennessee and Virginia Railroad.

Thus the necessary and sufficient conditions for the truth of a proposition of law simply involved internal logic and consistency, and that the state's agents used state power with responsibility.

Thus a description of the cat during the course of the experiment — having been entangled with the state of a subatomic particle — becomes a " blur " of " living and dead cat.

Thus, texts like the Annals will often state whether the calendar they use ( the calendar of Lu ) is in phase with the Royal calendar ( used by the Zhou kings ).

Thus, culture has replaced the state as the locus of war.

Thus dubnium is expected to form a stable + 5 state.

Thus, it is easier to state what God is not, than to state what God is:

Thus, the law of " interpenetrating opposites " records the inextricable interdependence of components: the " transformation of quantity to quality " defends a systems-based view of change that translates incremental inputs into alterations of state ; and the " negation of negation " describes the direction given to history because complex systems cannot revert exactly to previous states.

Thus, while a permit to fill non-federal wetlands might require a permit from a single state agency, larger and more complex endeavors — for example, the construction of a coal-fired power plant — might require approvals from numerous federal and state agencies.

Thus, if the rate of any pathway changes, both the excited state lifetime and the fluorescence quantum yield will be affected.

Thus, a piece of iron in its lowest energy state (" unmagnetized ") generally has little or no net magnetic field.

Thus in diplomatic affairs, heads of state are often the first person to greet an important foreign visitor.

Thus in March 1979 Colonel Muammar Gaddafi, who kept absolute power ( until his overthrow in 2011 referred to as " Guide of the Revolution "), after ten years as combined Head of State and Head of government of the Libyan Jamahiriya (" state of the masses "), styled Chairman of the Revolutionary Command Council, formally transferred both qualities to the General secretaries of the General People's Congress ( comparable to a Speaker ) respectively to a Prime Minister, in political reality both were his creatures.

Thus, the nearest formal oxidation state of iron in Hb-O < sub > 2 </ sub > is the + 3 state, with oxygen in the-1 state ( as superoxide. O < sub > 2 </ sub >< sup >-</ sup >).

Thus, even when the Electors of Saxony were Catholics during the eighteenth century, they continued to preside over the corpus evangelicorum, since the state of Saxony was officially Protestant.

Thus, the first East Slavic state, Kievan Rus ', emerged in the 9th century along the Dnieper River valley.

Thus, the state required service from both the old and the new nobility, primarily in the military.

Thus the argument also involved the issue of the proper relationship between church and state.