Thus, for example, in the ( still used ) local North American subdivision paleontologist finding fragments of the trilobite Olenellus would identify the beds as being from the Waucoban Stage whereas fragments of a later trilobite such as Elrathia would identify the stage as Albertan.

Thus, evidence of major changes in religious concepts may be recorded only in fragments of myths that supersede and later, obscure the originals.

Thus, the oldest pottery fragments found come from hillside settlements of the period between 7500 BC and 5000 BC.

Thus the papyri were finally brought together in Cairo: of the 1945 find, eleven complete books and fragments of two others, ' amounting to well over 1000 written pages ' are preserved there.

Thus, if a stick of dynamite is blown up in a hermetically sealed chamber, the mass of the chamber and fragments, the heat, sound, and light would still be equal to the original mass of the chamber and dynamite.

Thus, a proposed mechanism follows: after a PCNA-DNA polymerase δ complex synthesizes Okazaki fragments, the DNA polymerase δ is released.

Thus, Dna2 ’ s role is to reduce the 3 ′ end of these fragments, making it possible for FEN1 to cut the flaps, and the Okazaki fragment maturation more efficient.

Although there is still ongoing debate about the Jewish Christian Gospels and " only the very daring, nowadays, venture on speculations in regard to the Gospel of the Hebrews ", most scholars agree with Schneemelcher when he says, " Thus the number of Jewish Gospels -- whether there be one, two or three such gospels -- is uncertain, the identification of the several fragments is also uncertain and, finally the character and the relationship to one another of the several Jewish gospels is uncertain.

Thus, Butrica argues that the twist in Catullus 79 is the pun on Clodius ’ s cognomen with a synonym for exoletus, and he connects this characterization with fragments of lost Cicero speeches that attribute similar qualities to Clodius Pulcher.

Thus a series of labeled fragments is generated, from the radiolabeled end to the first " cut " site in each molecule.

Thus, there is no one person responsible for verifying that any one particular loan is sound, that the assets securing that one particular loan are worth what they are supposed to be worth, that the borrower responsible for making payments on the loan can read and write the language that the papers that he / she signed were written in, or even that the paperwork exists and is in good order.

Thus a sheaf can often be defined by giving its values on the open sets of a basis, and verifying the sheaf axioms relative to the basis.

Thus, it was impractical to enhance software to work with Quake III.

Thus the retina performs operations on the image to enhance the edges of objects within its visual field.

Thus, the effect of benzodiazepines is to enhance the effects of the neurotransmitter GABA.

Thus, Murat's skills in no small part helped establish Bonaparte's legendary fame and enhance his popularity with the French people.

Thus in areas where blue mussels are threatened, such as the Wadden Sea, it is of great importance to enhance the survival of mussel fields, of which mussel aggregates are the primary component.

Thus the vivid “ carnality ” of the miraculous tale of martyrdom could be deployed as easily to enhance the worldly prominence of the Church as to refute heretical doctrine by reaffirming the spiritual legitimacy of Church rituals.

Thus in 1776, the great architect Robert Adam was commissioned to enhance the church.

Thus, cyclophosphamide preconditioning of recipient hosts ( for donor T cells ) has been used to enhance immunity in naïve hosts, and to enhance adoptive T cell immunotherapy regimens, as well as active vaccination strategies, inducing objective antitumor immunity.

Thus the presence of Sweet Gale can enhance salmon recruitment.

Thus, while the extent of guidance provided by pioneer axons is under debate and may vary from system to system, the pioneer pathways clearly provide the follower projections with guidance cues and enhance their ability to navigate to target.

Thus, activators of PKA, such as the beta-adrenergic agonist epinephrine ( released by sympathetic stimulation ), may enhance the rate of cardiac myocyte relaxation.

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, 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, 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, in a sense, the notion of a Noetherian ring unifies the ideal structure of various " natural rings ".

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.