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 although most species in the order are herbaceous, some no more than 15 cm high, there are a number of climbers ( e. g. some species of Asparagus ), as well as several genera forming trees ( e. g. Agave, Cordyline, Yucca, Dracaena ), some of which can exceed 10 m in height.

If a description of s, d ( s ), is of minimal length ( i. e. it uses the fewest number of characters ), it is called a minimal description of s. Thus, the length of d ( s ) ( i. e. the number of characters in the description ) is the Kolmogorov complexity of s, written K ( s ).

Thus, Octavian's victory at the Battle of Actium gave him sole and uncontested control of " Mare Nostrum " ( Our Sea i. e. the Roman Mediterannean ) and he became " Augustus Caesar " and the " first citizen " of Rome.

Thus, body forces are specified by vector fields which are assumed to be continuous over the entire volume of the body, i. e. acting on every point in it.

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

Thus the probability of two failures in a same RAID group in time proximity is much smaller ( approximately the probability squared, i. e., multiplied by itself ).

Thus the probability of two failures in a same RAID group in time proximity is much smaller ( approximately the probability squared, i. e., multiplied by itself ).

Thus it is meaningful to speak of a " presentation of an equivalence relation ," i. e., a presentation of the corresponding groupoid ;

Thus it is 1 volt ( 1 joule per coulomb, 1 J / C ) multiplied by the electron charge ( 1 e, or ).

Thus, the nomenclature extends to inorganic oxo acids, e. g. phosphoric acid, sulfuric acid, nitric acid and boric acid.

Thus, for example, Odysseus is represented in Hecuba ( lines 131-32 ) as " agile-minded, sweet-talking, demos-pleasing " i. e. a type of the war-time demagogues that were active in Athens during the Peloponnesian War.

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 it was significant which quarters had preferential opportunities in providing chief wives to imperial princes, i. e. supplying future empresses.

Thus many Orthodox Churches adopt a national title ( e. g. Albanian Orthodox, Bulgarian Orthodox, Syrian Orthodox, Georgian Orthodox, Greek Orthodox, Macedonian Orthodox, Montenegrin Orthodox, Romanian Orthodox, Russian Orthodox, Serbian Orthodox, Ukrainian Orthodox etc.

Thus when God doth work, who shall let ( i. e. prevent ) it?

Thus, a non-intuitive ( e. g., a higher-energy for at least one species ) distribution of electrons in the combination of iron and oxygen must exist, in order to explain the observed diamagnetism and no unpaired electrons.

Thus, the intention is that approximately 95 % of the population scores within two SDs of the mean, i. e. has an IQ between 70 and 130.

Thus, " discrimination " against ( i. e., negative differential treatment of ) potential insureds in the risk evaluation and premium-setting process is a necessary by-product of the fundamentals of insurance underwriting.

Thus when we realize the nature of knowledge, Berkeley's argument is seen to be wrong in substance as well as in form, and his grounds for supposing that ' idea '- i. e. the objects apprehended-must be mental, are found to have no validity whatever.

This identifies the tangent space T < sub > e </ sub > at the identity with the space of left invariant vector fields, and therefore makes the tangent space at the identity into a Lie algebra, called the Lie algebra of G, usually denoted by a Fraktur Thus the Lie bracket on is given explicitly by = < sub > e </ sub >.

Thus, to cite but one example, the Pax Britannica of the nineteenth century, whether with the British navy ruling the seas or with the City of London ruling world finance, was strictly national in motivation, however much other nations ( e.g., the United States ) may have incidentally benefited.

Thus we are compelled to face the urbanization of the South -- an urbanization which, despite its dramatic and overwhelming effects upon the Southern culture, has been utterly ignored by the bulk of Southern writers.

Thus Faulkner reminds us, and wisely, that the `` new '' South has gradually evolved out of the Old South, and consequently its agrarian roots persist.

Thus, the avant-garde choreographers have extended the scope of materials available for dance composition.

Thus, there is freshness not only in the individual movements of the dance but in the shape of their continuity as well.

Thus, paradoxically, the beat writers resort to `` religious '' metaphors: they are in search of mana, the spiritual, the numinous, but not anything connected with formal religion.

Thus jazz is transmuted into something holy, the sacred road to integration of being.

Thus, on the highroad, a troop of soldiers `` marched in their own dust and sang '', while on the footpath one man walks alone.

Thus the image of man has suffered complete fragmentation in personal and spiritual qualities, and complete objectification in sub-human and quasi-mechanistic powers.

Thus the fictional detective is much more than a simple businessman.

Thus the transformation of Adam Smith's ideal entrepreneur into a mythological detective coincides closely with the decline of the real entrepreneur in economic life.

Thus the cocktail party would appear to be the ideal system, but there is one weakness.

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

Thus in both types attention is focused on the community itself, and its phenomenological life.

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

Thus human perception and human volition is the immanent cause of all social change and this most truly when the change reaches the civilizational level.

Thus with regard to the loss of tradition, in the change from order to disorder the metaphysics of change works itself out as a disruption of the individual soul, a change in which man continues as an objective ontological existent, but no longer as a man.

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

Thus earth has fallen to the center of the universe.

Thus, Margenau remarks: `` A large number of unrelated epicycles was needed to explain the observations, but otherwise the ( Ptolemaic ) system served well and with quantitative precision.

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

Thus he complains, with considerable justice, that the Tory writers have resorted to libel instead of answering his arguments.

Thus Burns's `` My love is like a red, red rose '' and Hopkins' `` The thunder-purple sea-beach, plumed purple of Thunder '' although clearly intelligible in content, hardly present ideas of the sort with which we are here concerned.

Thus the student of literature may sometimes find it helpful to classify a poem or an essay as being in idea or in ideal content or subject matter typical or atypical of its period.

Thus ideas like `` grace '', `` salvation '', and `` providence '' cluster together in traditional Christianity.