Thus, in no ordinary sense of ' simplicity ' is the Ptolemaic theory simpler than the Copernican.

Thus, the Commission acted with a sense of social responsibility within the area of its own convictions about the problem of government support to private education.

Thus, although some things may be certain, they have little to do with Dasein's sense of care and existential anxiety, e. g., in the face of death.

Thus a měizhōurén is an American in the generic sense, and a měiguórén is an American in the U. S. sense.

Thus, from the human body, the usual form assigned to the Deity, forasmuch as it is written that God created man in his own image, issue the two supporters, Nous and Logos, symbols of the inner sense and the quickening understanding, as typified by the serpents, for the same reason that had induced the old Greeks to assign this reptile for an attribute to Pallas.

“ Acts, then is a continuation of the Lucan Gospel, not in the sense that it relates what Jesus continued to do, but how his followers carried out his commission under the guidance of his Spirit .” Thus, part of the answer to the purpose of Acts is that Luke is writing to Theophilus, who is also mentioned in Luke 1: 3, in order to explain to him the occurrences that take place in the church that fulfill Jesus ’ promise to his disciples that “ you will be baptized with, the Holy Spirit not many days from now ” ( Acts 1: 5 ).

Thus the adverb-adjective " effective " is used in a sense of " 1a: producing a decided, decisive, or desired effect ", and " capable of producing a result ".

Thus the concept ' computable ' is in a certain definite sense ' absolute ', while practically all other familiar metamathematical concepts ( e. g. provable, definable, etc.

Thus, any electromagnetic radiation can " heat " ( in the sense of increase the thermal energy termperature of ) a material, when it is absorbed.

In a digital implementation, the number of computations performed per sample is proportional to N. Thus the mathematical problem is to obtain the best approximation ( in some sense ) to the desired response using a smaller N, as we shall now illustrate.

Thus, in the broadest sense, the first electrified musical instrument was the Denis d ' or, dating from 1753, followed shortly by the Clavecin électrique by the Frenchman Jean-Baptiste de Laborde in 1761.

Thus, in a sense, there is a different completeness theorem for each deductive system.

Thus we have a groupoid in the algebraic sense.

Thus, it has generally been used to describe something which, while unreal, is so in a very specific or unusual fashion, usually one emphasizing not just the " not real ," but some form of estrangement from our generally accepted sense of reality.

Thus, in a sense, the Spanish Civil War became also the scene of a proxy war between Germany and the USSR.

Thus it made sense to not map the memory between programs for IPC, but instead migrate the program code being used into the local space of the program.

Thus the challenge of making sense of all this complexity is formidable.

Thus saying it could create that which it doesn't already know makes absolutely no sense as there is nothing that such an argued for being would not already know.

Thus G. K. Chesterton wrote: " The Pagan set out, with admirable sense, to enjoy himself.

Thus, in place of God's role as guarantor of the coherence of the world, Kant posits a faculty of reason structured by the forms of our intuition ( our sense of time and space ) and the categories of our understanding ( like the notion of cause and effect ).

Thus talk about physical probability makes sense only when dealing with well defined random experiments.

Thus, Wittgenstein argues, if we can talk about something, then it is not private, in the sense considered.

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, not all sound deductive systems are complete in this special sense of completeness, in which the class of models ( up to isomorphism ) is restricted to the intended one.

Thus, this notion, which remained relevant throughout Chinese history, reflects the order of nature.

Thus, Judaism rejects the notion that anyone can or should die for anyone else's sin.

Thus, the only logical possibilities are to accept non-Euclidean geometry as physically real, or to reject the entire notion of physical tests of the axioms of geometry, which can then be imagined as a formal system without any intrinsic real-world meaning.

Thus another approach is to incorporate the notion of suffering into the definition.

Thus, the challenge is to create agile or discovery-driven implementations of the EVM principle, and not simply to reject the notion of measuring technical performance objectively.

Thus, for example, around 60 manuscripts are extant containing Welsh-language versions of the Historia, the earliest of which were created in the 13th century ; the old notion that some of these Welsh versions actually underlie Geoffrey's Historia, advanced by antiquarians such as the 18th-century Lewis Morris, has long since been discounted in academic circles.

Thus three major themes in 19th century mathematics were combined by Lie in creating his new theory: the idea of symmetry, as exemplified by Galois through the algebraic notion of a group ; geometric theory and the explicit solutions of differential equations of mechanics, worked out by Poisson and Jacobi ; and the new understanding of geometry that emerged in the works of Plücker, Möbius, Grassmann and others, and culminated in Riemann's revolutionary vision of the subject.

Thus, null sets may be interpreted as negligible sets, defining a notion of almost everywhere.

Thus, lineally and geopolitically, Bruce attempted to support his anticipated notion of a pan-Gaelic alliance between Scottish-Irish Gaelic populations, under his kingship.

Thus, justification is a normative notion.

Thus, he developed his notion of hamartia, or tragic flaw, which was really an error in judgment by the main character or protagonist.

There is no sustained, mature analysis of the notion ..." Thus, some critics object, it would be acceptable to torture one person if this would produce an amount of happiness in other people outweighing the unhappiness of the tortured individual.

Thus, the general notion of a statistical ensemble with nearest-neighbor interactions leads to Markov random fields, which again find broad applicability ; for example in Hopfield networks.

Thus, in the West, the notion of ethnicity, like race and nation, developed in the context of European colonial expansion, when mercantilism and capitalism were promoting global movements of populations at the same time that state boundaries were being more clearly and rigidly defined.

Thus, nationalism is invoked in conscience to quell tribal conflict and the notion of a Brotherhood of Man is invoked to quell national conflicts.

Thus, it encouraged biological fathers to reject not only the notion of an obligation to marry the mother but also the very idea of a paternal obligation.

Thus, he described his notion of an esoteric philosophy which referenced the eternal truth or wisdom which lies at the heart of all traditions as a " science of reality " based on the method of " certain demonstration " ( al-burhan al-yaqini ).

Thus, the notion that the Trinity consists of " Three persons in one God " is not a part of Latter-day Saint beliefs.

Thus Kant presents the notion of the hypothetical Kingdom of Ends of which he suggests all people should consider themselves both means and ends.

Thus if we set aside the notion of standardization, I believe it would be more appropriate to speak of 25 languages derived from Old Tibetan.

Thus the Governor-General hit upon the notion to name the outpost Nueva ( meaning new Ecija ). Both the New and Old Ecija were washed by navigable rivers-the former, by Rio Grande de Pampanga and the latter, by the river Genil.

The notion is closely related to the idea of a multiplicative character in group theory, which is a homomorphism χ from a group G to the multiplicative group of a field F. Thus χ: G → F < sup >×</ sup > satisfies χ ( e ) = 1 ( where e is the identity element of G ) and

Thus weights are primarily of interest for abelian Lie algebras, where they reduce to the simple notion of a generalized eigenvalue for space of commuting linear transformations.