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 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, id's decision to protect Quake IIIs code inadvertently caused machinima creators to use more general solutions and thus widen their audience.

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

Thus, concentrated solutions of polymers are far rarer than those of small molecules.

Thus a developer gravitates toward solutions that reside at the intersection of the capabilities of UML and the implementation language.

Thus, the differential equation solutions can be classified into homotopy classes.

Thus, the difference of any two solutions to the equation Ax = b lies in the null space of A.

Thus, treatment of concentrated solutions of ammonium salts with strong base gives ammonia.

Thus in most " natural " settings, if a complex number provides a solution to a problem, so does its conjugate, such as is the case for complex solutions of the quadratic formula with real coefficients.

Thus, world conscience is a concept that overlaps with the Gaia hypothesis in advocating a balance of moral, legal, scientific and economic solutions to modern transnational problems such as global poverty and climate change, through strategies such as environmental ethics, climate ethics, natural conservation, ecology, cosmopolitanism, sustainability and sustainable development, biosequestration and legal protection of the biosphere and biodiversity.

Thus, many pyrophoric solids are sold as solutions, or dispersions in mineral oil or lighter hydrocarbon solvents.

Thus, the salt bridge or porous membrane serves both to keep the solutions apart and to allow the flow of anions in the direction opposite to the flow of electrons in the wire connecting the electrodes.

Thus the closed-loop poles ( roots of the characteristic equation ) of the transfer function are the solutions to the equation 1 + KC ( s ) P ( s )

Thus the classical solutions to G Chern – Simons theory are the flat connections of principal G-bundles on M. Flat connections are determined entirely by holonomies around noncontractible cycles on the base M. More precisely, they are in one to one correspondence with equivalence classes of homomorphisms from the fundamental group of M to the gauge group G up to conjugation.

Thus, general solutions can be specified by convolving the ( periodic ) boundary condition at t

Thus though Dirichlet flows ( potential solutions ) and other steady flows are mathematically possible, there is no reason to suppose that any steady flow is stable.

Thus, iodine tincture solutions are characterized by the presence of alcohol, and about the same amount ( weight % content ) of elemental iodine as iodide.

) Thus, the solutions above are all singular solutions, in the sense that solution fails to be unique in a neighbourhood of one or more points.

Thus, a program that is able to reduce this number of candidate solutions through the process of hypothesis formation is essential.

Thus, when pCr = 2, the chromium concentration is 10 < sup >- 2 </ sup > mol dm < sup >- 3 </ sup ></ ref > The chromate ion is the predominant species in alkaline solutions, but dichromate can become the predominant ion in acidic solutions.

Thus, in the example of the Travelling salesman problem, it is not necessary that an ant actually travels the shortest route: the shortest route can be built from the strongest segments of the best solutions.

Thus an algorithm can be an algebraic equation such as y

Thus, for example, the same equation can be made to produce both a lyrical and melodic piece of music in the style of the mid-nineteenth century, and a fantastically dissonant cacophony more reminiscent of the avant-garde music of the 1950s and 1960s.

Thus, if n < sub > r </ sub > is the average number of times a new civilization reappears on the same planet where a previous civilization once has appeared and ended, then the total number of civilizations on such a planet would be ( 1 + n < sub > r </ sub >), which is the actual reappearance factor added to the equation.

Thus, the conservation of electric charge, as expressed by the continuity equation, gives the result:

Thus Engset's equation should be used when the source population is small ( say less than 200 users, extensions or customers ).

Thus and, then the above equation becomes:

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 the reflected ray has equation

Thus, a list of possible rational roots of the equation can be derived using the formula.

Thus, this equation is sometimes known as the vector wave equation.

While this equation suggests that the activation energy is dependent on temperature, in regimes in which the Arrhenius equation is valid this is cancelled by the temperature dependence of k. Thus, E < sub > a </ sub > can be evaluated from the reaction rate coefficient at any temperature ( within the validity of the Arrhenius equation ).

Thus we cannot get a simple generalization of the Schrödinger equation under the naive assumption that the wave function is a relativistic scalar, and the equation it satisfies, second order in time.

Thus the Schrödinger equation may be seen as the far non-relativistic approximation of the Dirac equation when one may neglect spin and work only at low energies and velocities.

There are 3 fundamental physical units in this equation: time t, mass m, and length l, and 4 dimensional variables, T, M, L, and g. Thus we need only 4 − 3 = 1 dimensionless parameter, denoted π, and the model can be re-expressed as

Thus, the system can be analyzed with Schrödinger's equation and the guiding equation, with an initial distribution for the particles in the system ( see the section on the conditional wave function of a subsystem for details ).

Thus, we have the guiding equation.