Thus the film can be applied to back-lighted translucent plastics faces ; ;

Thus, the total force applied to a body or to a portion of the body can be expressed as:

Thus, the total applied torque about the origin is given by

Thus, the sum of all applied forces and torques ( with respect to the origin of the coordinate system ) in the body can be given by

Thus a 2 × 2 matrix with determinant − 2, when applied to a region of the plane with finite area, will transform that region into one with twice the area, while reversing its orientation.

Thus, this law can be applied to generate a magnetic field and run an electric motor.

Thus, a systemically applied prodrug is metabolised to the toxic drug only in the tumour.

Thus, during the 1960s and early 1970s, Portuguese development plans promoting strong economic growth and effective socioeconomic policies, like those applied by the Portuguese in the other two theaters of war ( Portuguese Angola and Portuguese Mozambique ), were not possible.

Thus we have in the first five centuries such epithets applied to her as " in every respect holy ", " in all things unstained ", " super-innocent " and " singularly holy "; she is compared to Eve before the fall, as ancestress of a redeemed people ; she is " the earth before it was accursed.

" Thus these two distinctions can be applied not only to class structure within society but denomination and racial segregation within religion.

Thus, even when the applied field is removed, the electrons in the material maintain a parallel orientation.

Thus the total magnetization drops to zero when the applied field is removed.

Thus, the specific processes that can be probed with PET are virtually limitless, and radiotracers for new target molecules and processes are continuing to be synthesized ; as of this writing there are already dozens in clinical use and hundreds applied in research.

Thus, Constitutional limitations applied to the validity of state court judgments.

Thus there is very wide and continuous range of timescales covering the response of such a system to externally applied stress.

Thus knowledge of good is absorbed by our will and immediately applied to life ( in the case with the tree of life ).

Thus, the Ninth Amendment originally applied only to the federal government, which is a government of enumerated powers.

Thus, the term " Jews " in the Gospel is applied to those who deny the resurrection and believe that the disciples stole Jesus's corpse.

Thus, the title of mep ' e might have been applied to Tamar to mark out her unique position among women.

Thus, what had become a revolution in both painting and sculpture was applied as part of ‘ a profound reorientation towards a changed world ’.

Thus the critical current oscillates as a function of the applied flux.

Thus, the original meaning of anomie defined anything or anyone against or outside the law, or a condition where the current laws were not applied resulting in a state of illegitimacy or lawlessness.

Thus, regular spaces are usually studied to find properties and theorems, such as the ones below, that are actually applied to completely regular spaces, typically in analysis.

Thus, a Christian symbolic theme was applied quite naturally to a form borrowed from civil semi-public precedents.

Thus, the origins of evolutionary developmental biology come from both an improvement in molecular biology techniques as applied to development, and the full appreciation of the limitations of classic neo-Darwinism as applied to phenotypic evolution.

Thus the analysis using Newton's laws of motion can proceed as if the reference frame was inertial, provided the fictitious force terms are included in the sum of external forces.

Thus, the wise course on the eleventh spin would be to bet on red, not on black: exactly the opposite of the layman's analysis.

Thus Weber's methodology emphasises the use of comparative historical analysis.

Thus the reverse procedure, though originally uncommon, enabled northern analysis to evolve into gene expression profiling, in which many ( possibly all ) of the genes in an organism may have their expression monitored.

Thus the welfare analysis of oligopolies is sensitive to the parameter values used to define the market's structure.

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 the solution is 2, not ½ as would be the result of an incorrect analysis.

Thus my analysis suggests that this response to the paradox the Standard Bayesian one cannot be correct.

Thus a more detailed analysis of the bubble's motion is needed beyond Rayleigh-Plesset to explore the additional energy focusing that an internally formed shock wave might produce.

Thus STR analysis provides an excellent identification tool.

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, Charles S. Maier suggests that a political economy approach: " interrogates economic doctrines to disclose their sociological and political premises .... in sum, regards economic ideas and behavior not as frameworks for analysis, but as beliefs and actions that must themselves be explained.

Thus, under this analysis, the commodity produced by an unskilled worker would be more valuable than the same commodity produced by the skilled worker.

Thus Fourier analysis might be used to decompose a sound into a unique combination of pure tones of various pitches.

Thus, the definition or analysis of " bachelor " is thought to be an unmarried male.

Thus locally compact spaces are as useful in p-adic analysis as in classical analysis.

Thus, one may conceive of the " Oral Torah " not as a fixed text but as an ongoing process of analysis and argument in which God is actively involved ; it was this ongoing process that was revealed at Sinai, and by participating in this ongoing process rabbis and their students are actively participating in God's ongoing act of revelation.

Thus hermeneutics expanded from its medieval role explaining the correct analysis of the Bible.

Thus it holds that technical analysis cannot be effective.

Thus, the RPD model is a blend of intuition and analysis.

Thus far, Professor Skousen has published complete transcripts of the Original and Printer ’ s Manuscripts, as well as a six-volume analysis of textual variants.

Thus, his analysis yields four sections, variations 1 – 7, 9 – 13, 15 – 19 and 21 – 33.

Thus far, genetic analysis of the Kalmyks supports their Mongol roots that also shows that entire families of Kalmyks moved to Volga region and not simply males as is generally the case with most nomadic tribal groups.