Thus, this supposedly distinctive feature was easy to use, but had nothing to do with actual phylogenic relationship.

Thus the argument also involved the issue of the proper relationship between church and state.

Thus, there is a direct mathematical relationship between the pressure and the speed, so if one knows the speed at all points within the airflow one can calculate the pressure, and vice versa.

Thus the power relationship is between the conversion of the mechanical energy of the pump mechanism and the fluid elements within the pump.

Thus, there is a one-to-one relationship between even perfect numbers and Mersenne primes ; each Mersenne prime generates one even perfect number, and vice versa.

Thus, the 1960 SI definition abandoned any explicit relationship between the scientific second and the length of a day, as most people understand the term.

Thus returning himself to the proper relationship with his creator and source of being.

Thus other linguists argue that these typological similarities do not demonstrate a genetic relationship between Uralic and Altaic, ascribing these similarities instead to coincidence or mutual influence resulting in convergence.

Thus the ratio of two similar quantities was not just a numerical value, as we think of it today ; the ratio of two similar quantities was a primitive relationship between them.

Thus began a personal and professional relationship which, to the acknowledged benefit of both, would survive the many dissensions and rivalries which marked the first decades of the psychoanalytic movement, and would last until Freud ’ s death in 1939.

Thus former choose to focus on fiscal policy i. e., the relationship between expenditures and allocated revenues ( vertical imbalance ) while latter pay attention to regulatory or financial mechanisms i. e. the nature of intergovernmental transfers ".

Thus, the subaltern relationship between universal and existential also does not hold, since for a nonexistent S, " All S is P " is true but does not entail " Some S is P ", which is false.

Thus the spelling of a word is dependent principally upon its structure, its relationship to other words, and its language or origin.

Thus for instance, ' if in a face-to-face relationship with a friend I discuss a magazine article dealing with the attitude of the President and Congress toward ... China ... I am in a relationship not only with the perhaps anonymous contemporary writer of the article but also with the contemporary individual or collective actors on the social scene designated by the terms " President ", " Congress ", " China "'.

Thus, the relationship of negative affectivity to BPD symptoms is mediated by thought suppression.

Thus, patents have a direct relationship to ideas.

Thus, copyrights have a negative relationship to ideas.

Thus, his interview with Kate exploits the man's fears, and convinces Miss Hardcastle she'll have to alter her persona drastically to make a relationship with the man possible.

Thus, it encompasses a set of views about the relationship between mind and matter, and is contrasted with other positions, such as physicalism, in the mind – body problem.

Thus knowledge can present a division in a relationship and may be destructive.

Thus philo-Semitism, and similarly anti-Semitism, are rather new perceptual terms used by Jews to describe their perceptual relationship to the views of non-Jews ( both in their common society and abroad ).

Thus given no arbitrage opportunities, the above relationship ( put-call parity ) holds, and for any three prices of the call, put, bond and stock one can compute the implied price of the fourth.

Thus, the equation showing the relationship between current densities at two temperatures is

Thus, a strong, long-term relationship with a few suppliers is better than short-term, price-based relationships with many competing suppliers.

Thus, when the fluid finally does strike the object, it is forced to change its properties -- temperature, density, pressure, and Mach number -- in an extremely violent and irreversible fashion called a shock wave.

Thus, union density provides a rough picture of union membership only ; it does not account for the circumstance that in some countries, also many persons under education, many unemployed persons, many retired persons and / or many persons who had to leave work due to occupational injuries may also be union members.

Thus the observed radiation density ( the sky brightness of extragalactic background light ) can be independent of finiteness of the Universe.

Thus the constant has dimension density < sup >− 1 </ sup > time < sup >− 2 </ sup >.

Thus the density of atoms is on the order of a single hydrogen atom for every four cubic meters of volume.

Thus, as the energy density is negative, one needs exotic matter to travel faster than the speed of light.

Thus the noise temperature is proportional to the power spectral density of the noise,.

Thus the curl is the circulation density.

Thus the combined size of all the instructions needed to perform a particular task, the code density, was an important characteristic of any instruction set.

Thus at 100 K the energy flux density is 5. 67 W / m < sup > 2 </ sup >, at 1000 K 56, 700 W / m < sup > 2 </ sup >, etc.

) Thus there is a unitary freedom in the ket mixture or ensemble that gives the same density operator.

Thus the act of measurement induces a fundamental irreversible change on the density matrix ; this is analogous to the " collapse " of the state vector, or wavefunction collapse.

Thus polypeptides after treatment become rod-like structures possessing a uniform charge density, that is same net negative charge per unit length.

Thus, for example, an electric field of one statvolt / cm has the same energy density as a magnetic field of one gauss.

Thus the speed of sound increases with the stiffness ( the resistance of an elastic body to deformation by an applied force ) of the material, and decreases with the density.

Thus, its population density is 657 inhabitants per km².

Thus nearly half the city's area is agricultural, resulting in a low population density of approximately 900 inhabitants per km².

Thus, the lower the density of the substance, the farther the hydrometer will sink.

Thus, it provides the basis of an alternative route to analytical results compared with working directly with probability density functions or cumulative distribution functions.

Thus, plasmons are collective oscillations of the free electron gas density, for example, at optical frequencies.

In simple terms, the principle states that the buoyancy force on an object is going to be equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. Thus, among completely submerged objects with equal masses, objects with greater volume have greater buoyancy.

Thus the current view of the nuclear atom-a structure with a positively charged center ( nucleus ) of high density and negatively charged electron particles moving around the nucleus at relatively large distances compared to the nuclear radius-was created.

In simple terms, the principle states that the buoyant force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational constant, g. Thus, among completely submerged objects with equal masses, objects with greater volume have greater buoyancy.

Thus, if we have a further equation that dictates how the pressure and density vary with respect to one another, we can reach a solution.

Thus, beyond this point, either the host structure must expand to accommodate the interstitials ( which compromises the overall density ), or rearrange into a more complex crystalline compound structure.