Thus, the study of the solutions to the equation Af is reduced to the study of the space of solutions of a differential equation of the form Af.

Thus for example Heraclitus ' The Allegorist ' quoted fr. 326 and part of fr. 6, about ships in a storm, in his study on Homer's use of allegory.

Thus, study of this Barnum / Forer effect has been mostly focused on the level of acceptance of fake horoscopes and fake astrological personality profiles.

Thus, by monitoring eye movements, we can study what information is being processed at a given time.

Thus this study suggests that full sleep may not be important for optimal performance of memory.

Thus differential geometry may study differentiable manifolds equipped with a connection, a metric ( which may be Riemannian, pseudo-Riemannian, or Finsler ), a special sort of distribution ( such as a CR structure ), and so on.

Thus, it is on the one side, the study of wealth and on the other and more important side, a part of the study of man.

Thus, the search for extrasolar planets also includes the study of planetary habitability, which considers a wide range of factors in determining an extrasolar planet's suitability for hosting life.

Thus, the overall findings of the study are clear and require that even we skeptics, who have long doubted parental claims of the effects of various foods on the behavior of their children, admit we might have been wrong.

Thus followed the line of Lomonosov and the contributions of the Russian school became more frequent through his disciples, and in the nineteenth century we have great geographers as Vasily Dokuchaev who performed works of great importance as a " principle of comprehensive analysis of the territory " and " Russian Chernozem " latter being the most important where introduces the geographical concept of soil, as distinct from a simple geological strata, and thus founding a new geographic area of study: the Pedology.

Thus other than the prophets mentioned in the Quran, Ahmadis, with support from theological study also recognize Buddha, Krishna, founders of Chinese religions to be divinely appointed individuals.

Thus both fields of study are useful.

Thus much of WMCF is, in effect, a study of the epistemological foundations of the calculus.

Thus, genomics is the study of all the genes of a cell, or tissue, at the DNA ( genotype ), mRNA ( transcriptome ), or protein ( proteome ) levels.

Thus biography can form one part of the larger study of the cultural significance, underlying program, or agenda of a work ; a study which gained increasing importance in the 1980s and early 1990s.

Thus, E-Language is not itself a coherent concept, and Chomsky argues that such notions of language are not useful in the study of innate linguistic knowledge, i. e., competence, even though they may seem sensible and intuitive, and useful in other areas of study.

Thus, it cannot be concluded to what extent this study had an effect on " Little Albert's " life.

Thus the study of racism can be seen, at least superficially, as the study of the ways that people with a certain skin color and cultural background are systematically mistreated by society at large.

Thus, he notes that hiring decisions at Hitachi, during the time of his study, were " regulated by very strict qualification standards ", and not very significantly influenced by ascribed characteristics.

" ( 7 ), Thus, Frye launched the pursuit which was to occupy the rest of his career — that of establishing criticism as a " coherent field of study which trains the imagination quite as systematically and efficiently as the sciences train the reason " ( Hamilton 34 ).

Thus one line in five from The Iliad and The Odyssey is to be found somewhere else in the two poems.

Thus while Athens was increasing her navy with the funds they contributed, a revolt always found itself without enough resources or experienced leaders for war.

Thus the discovery report by the Berkeley group reads: " It is suggested that element 97 be given the name berkelium ( symbol Bk ) after the city of Berkeley in a manner similar to that used in naming its chemical homologue terbium ( atomic number 65 ) whose name was derived from the town of Ytterby, Sweden, where the rare earth minerals were first found.

Thus while bumblebees have been found to be about ten times more efficient pollinators on cucurbits, the total efficiency of a colony of honey bees is much greater due to greater numbers.

Thus, a player should use Blackwood only when he can ascertain that the partnership holds at least second-round controls in all suits ( kings or, if a suit fit is found, singletons ).

Thus the Codex found its way to the Imperial Library at St. Petersburg.

Thus, despot is found to have different meanings and interpretations at various times in history and can not be described by a single definition.

" Thus in the example above, Hecuba presents herself as a sophisticated intellectual describing a rationalized cosmos yet the speech is ill-matched to her audience, Menelaus ( a type of the unsophisticated listener ), and soon it is found not to suit the cosmos either ( her infant grandson is brutally murdered by the victorious Greeks ).

Thus, female medical missionary Dr. Mary H. Fulton ( 1854-1927 ) was sent by the Foreign Missions Board of the Presbyterian Church ( USA ) to found the first medical college for women in China.

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.

Thus fallen humanity is in need of the redemption that can be found in Christ.

Thus, electrons are found in specific energy levels of an atom, two of which are shown below:

But this group found it increasingly difficult to prove that they were not labourers because the 1882 act defined excludables as ‘ skilled and unskilled labourers and Chinese employed in mining .’ Thus very few Chinese could enter the country under the 1882 law.

Thus, ethnic minority populations are found on both the Laotian and Vietnamese sides of the frontier.

Thus the Mary Rose was subject to salvage from the sixteenth century and later, but a very large amount of material, buried in the sediments, remained to be found by maritime archaeologists of the twentieth century.

Thus, nowadays, we speak of Diophantine equations when we speak of polynomial equations to which rational or integer solutions must be found.

Thus, 10 morsels of bread smaller than the size of an olive are traditionally hidden throughout the house in order to ensure that some chametz will be found.

Thus, the fundamental solution may be found by performing the continued fraction expansion and testing each successive convergent until a solution to Pell's equation is found.

“ Thus we find them emerging at once in the eleventh century, in countries the most diverse, and the most remote from each other, in Italy, France, and even in the Harz districts in Germany .” Likewise, also, “ traces of Sabbath-keepers are found in the times of Gregory I, Gregory VII, and in the twelfth century in Lombardy .”

Thus, the gang system worked like an early version of the assembly line later to be found in factories.

Thus, electrons are found in specific energy levels of an atom, two of which are shown below:

Thus the origin of the original space can be found at ( 0, 0, ... 0, 1 ).

Thus, for example, the presence of an extra chromosome 21, which is found in Down syndrome, is called trisomy 21.

Thus, on the death of Geoffrey the Handsome ( 7 September 1151 ), his son Henry found himself heir to a great empire, strong and consolidated, to which his marriage with Eleanor of Aquitaine ( May 1152 ) further added Aquitaine.