Thus, reasoned Oort, a comet could not have formed while in its current orbit, and must have been held in an outer reservoir for almost all of its existence.

Thus every scrap of news reaching remote Elba looked favorable to a place to retake power as he correctly reasoned the news of his return would cause a popular rising as he approached.

Thus, he reasoned, it would be easy for him to take five thousand troops ( plus another five thousand to carry supplies ) across the Qin Mountains via the Ziwu Valley and into Chang ' an.

Thus, the reformers reasoned, the USE will empower talented graduates from remote locations to compete for admissions at the universities of their choice, at the same time eliminating admission-related bribery, then estimated at 1 billion US dollars annually.

Thus, it is no mystical intuition, but an analyzable conception to say that man and his tradition can `` fall out of existence ''.

Thus, circular motion is itself one of the essential characteristics of completely perfect celestial existence.

Thus, besides the training provided to youth in school, the existence of the school program can have supplementary benefits to industry which make it an asset to industrial development efforts.

Thus it too has an objective, observer-independent existence.

Thus, theory has its roots in the materiality of social existence.

Thus, in the sentence " There exists a man ", the term " man " is asserted to be part of existence.

Thus Ockham argued that " Socrates has wisdom ", which apparently asserts the existence of a reference for " wisdom ", can be rewritten as " Socrates is wise ", which contains only the referring phrase " Socrates ".

Thus, Heracles ' very existence proved at least one of Zeus ' many illicit affairs, and Hera often conspired against Zeus ' mortal offspring as revenge for her husband's infidelities.

Thus accounts such as that of the miraculous " Image Not Made by Hands ", and the weeping and moving " Mother of God of the Sign " of Novgorod are accepted as fact: " Church Tradition tells us, for example, of the existence of an Icon of the Savior during His lifetime ( the " Icon-Made-Without-Hands ") and of Icons of the Most-Holy Theotokos immediately after Him.

Thus, many typical household applications already in existence like word processing and email were designed specifically to avoid using floating point operations.

Thus: " existence precedes essence ".

The book takes the term from Friedrich Nietzsche's Thus Spoke Zarathustra, where it is used in the context of the often nauseating quality of existence.

Thus, while the probability might be extremely small that any particular universe would have the requisite conditions for life ( as we understand life ) to emerge and evolve, this does not require intelligent design per the teleological argument as the only explanation for the conditions in the Universe that promote our existence in it.

Thus the proof of the existence of a mathematical object is tied to the possibility of its construction.

Thus, not only the existence of the crime depends on there being a previous legal provision declaring it to be a penal offense ( nullum crimen sine praevia lege ), but also, for a specific penalty to be imposed in a certain case, it is also necessary that the penal legislation in force at the time when the crime was committed ranked the penalty to be imposed as one of the possible sanctions to that crime ( nulla poena sine praevia lege ).

Thus the paradox of creating new information, information itself, or creating existence itself and an information system such as a cognitive system into existence from a position of infinitely knowing, becomes a self-refuting argument and defies the listed " omni " attributes.

Thus the Peloponnesian League was not an " alliance " in the strictest sense of the word ( nor was it wholly Peloponnesian for the entirety of its existence ).

Thus by inspiring the game designers to create the games, he insured his own future existence.

Thus ended the legal existence of the Saudi – Iraqi neutral zone.

Thus, they have no legal existence independent from the trustee and his or her ownership of the subject matter of the trust.

Thus several psychologists such as Howe have argued against the existence of innate talent, while in neuroscience there have been debates that the brain functions with Mass action, rather than by a series of interacting mechanisms – for instance by Karl Lashley and others.

Thus, if corporations are not to run away with us, they must become quasi-governmental institutions, subject to public control and needs.

Thus, as a development program is being launched, commitments and obligations must be entered into in a given year which may exceed by twofold or threefold the expenditures to be made in that year.

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 the multiplicity of Af for a given T must be an even number.

Thus, when more than one distinct form leads to a particular cell in the X-region, a chain of information cells must be created to accommodate the forms, one cell in the chain for each form.

Thus, red wine must, if possible, never be disturbed or shaken ; ;

Thus, moral decision must be entirely deduced backward from the likely eventuality ; ;

Thus he maintained that there must be blackness as well as whiteness in snow ; how otherwise could it be turned into dark water?

Thus linguists must resort to indirect methods to determine what those rules might be, if indeed rules as such exist.

Thus, asymmetric algorithm keys must be longer for equivalent resistance to attack than symmetric algorithm keys.

Thus, to be valid, any law must conform to natural law and coercing people to conform to that law is morally acceptable.

Thus if one chooses an infinite number of points in the closed unit interval, some of those points must get arbitrarily close to some real number in that space.

Thus, according to Aquinas, there must have been a time when nothing existed.

Thus, for example, controversies in physics are limited to subject-areas where experiments cannot be carried out yet, whereas Benford's Law implies that controversy is inherent to politics, where communities must frequently decide on courses of action based on insufficient information.

Thus, humans must be other biological machines created by a life form just as the BETA are.

Thus perceptions must already come parcelled into distinct " bundles " before they can be associated according to the relations of similarity and causality: in other words, the mind must already possess a unity that cannot be generated, or constituted, by these relations alone.

Thus, using Euler's theorem we can say that the solution must be of the form:

Thus, a proper name must have a bearer if it is to be meaningful.

Thus, an applicant must prove discrimination in the enjoyment of a specific right that is guaranteed elsewhere in the Convention ( e. g. discrimination based on sex-Article 14-in the enjoyment of the right to freedom of expression-Article 10 ).

Thus one must be careful with the notation when using these functions, because various reputable references and software packages use different conventions in the definitions of the elliptic functions.

Thus they do not resolve the ambiguities that E-Prime seeks to alleviate without an additional rule, such as that all sentences must contain a verb.

Thus any non-constant entire function must have a singularity at the complex point at infinity, either a pole for a polynomial or an essential singularity for a transcendental entire function.