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

Thus if E is sufficiently small, there can be only one intersection of C and Af near Q, for if there were more than one intersection for every E then the difference between C and Af near Q would not be a monotone function.

Thus, this readiness to relax controls, evidenced in the Kohnstamm situation, appears to be a more general personality factor.

Thus, when more than one distinct form leads to a particular cell in the X-region, a chain of information cells must be created to accommodate the forms, one cell in the chain for each form.

Thus, food so processed might reach more remote markets and permit the consumer to enjoy more produce at peak freshness and palatability.

Thus, while it remains possible that the Babylonians and/or the Pythagoreans may perhaps have had the magic square of three before the Chinese did, more definite evidence will have to turn up from the Middle East or the Classical World before China can lose her claim to the earliest known magic square by more than a thousand years.

Thus, while altruistic persons may under some circumstances be outcompeted by less altruistic persons at the individual level, according to group selection theory the opposite may occur at the group level where groups consisting of the more altruistic persons may outcompete groups consisting of the less altruistic persons.

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.

In mathematics, an associative algebra A is an associative ring that has a compatible structure of a vector space over a certain field K or, more generally, of a module over a commutative ring R. Thus A is endowed with binary operations of addition and multiplication satisfying a number of axioms, including associativity of multiplication and distributivity, as well as compatible multiplication by the elements of the field K or the ring R.

Thus, ocular albinism occurs more frequently in males as they have a single X and Y chromosome, unlike females, whose genetics are characterized by two X chromosomes.

Thus they could be used in place of the more expensive Athlon MP in dual socket A motherboards.

Thus for an ion which traverses a 1 m flight path, across a time of 2000 ns, given an initial accelerating voltage of 5000 V and noting that one amu is 1 × 10 < sup >− 27 </ sup > kg, the mass-to-charge ratio ( more correctly the mass-to-ionisation value ratio ) becomes Z amu / charge.

Thus, for high-energy neutrons beryllium is a neutron multiplier, releasing more neutrons than it absorbs.

Thus, negotiation generally features only in games for three or more people.

Thus, the theory asserts that the apple is no more than the collection of its properties.

Thus, a single " rule ," like mapping every real number x to x < sup > 2 </ sup >, can lead to distinct functions and, depending on whether the images under that rule are understood to be reals or, more restrictively, non-negative reals.

Thus, the energy required to break any single pair is related to the energy required to break all of the pairs ( or more than just two electrons ).

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, at a given angular rate of rotation, a concave surface represents the stable situation, and the more rapid the rotation, the more concave this surface.

Thus, under Elizabeth, a more permanent enforcement of the Reformed religion was undertaken, and the 1552 book was republished in 1559, scarcely altered.

Thus, if two species use the same codon at the same place to specify an amino acid that can be represented by more than one codon, that is evidence for a recent common ancestor.

Thus, the universe would have been even more special before the thermalization than after .” The problem of specific or “ fine-tuned ” initial conditions would not have been solved ; it would have gotten worse.

Thus we can conceive of a “ noumenal ” world ( noumenal meaning " object of thought ") which exists only as a heuristic for our cognitive capacities and not as something directly accessible to experience.

Thus the unconscious mind can be seen as the source of dreams and automatic thoughts ( those that appear without any apparent cause ), the repository of forgotten memories ( that may still be accessible to consciousness at some later time ), and the locus of implicit knowledge ( the things that we have learned so well that we do them without thinking ).

Thus Narbonne was a crucial strategic crossroads of the Via Domitia and the Via Aquitania, and it was an accessible, but well-defendable, port at that time.

Thus it can be understood that the Zulu Nation's adoption of " Factology vs Beliefs ," was an effort to reorganize the Nation to be more accessible by more people of even more different belief systems, due to the ever expansion of Hip Hop culture worldwide causing a bigger need for a much more universal Hip Hop preservation society.

Thus, the many-worlds quantum model is proved to be both real, and accessible, a fantastic achievement.

Thus he makes the story easy to relate to, and the patriotic moral accessible to readers.

Thus eventually PDDL1. 2 captured the " physics " of a deterministic single-agent discrete fully accessible planning environment.

Thus the reader's experience is similar to reading a printed book, except that the book is read at a computer and is only accessible while the reader is online.

Thus the camping area and beach are only accessible by hiking.

Thus, a compromise plan was announced in December 2011: the next 4, 000 new medallions must go to accessible cabs, and the Governor will ratify the Mayor's initiative to let livery cars compete for street hails.

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.

For the case of an object that is small compared with the radial distance to its axis of rotation, such as a tin can swinging from a long string or a planet orbiting in a circle around the Sun, the angular momentum can be expressed as its linear momentum,, crossed by its position from the origin, r. Thus, the angular momentum L of a particle with respect to some point of origin is

Thus the Bauhaus style, also known as the International Style, was marked by the absence of ornamentation and by harmony between the function of an object or a building and its design.

Thus a statement of the form is said to be true, under a particular interpretation, if there is some object in the domain of discourse of that interpretation that satisfies the predicate that the interpretation uses to assign meaning to the symbol Phil.

Thus, any real object cannot remain the same, also because of movement of its physical parts ( even much bigger than molecules ).

Thus what we really mean is: " I perceive that ' This object a is red '" and this is an undeniable-by-3rd-party " truth ".

Thus the proof of the existence of a mathematical object is tied to the possibility of its construction.

Thus, from the war of nature, from famine and death, the most exalted object which we are capable of conceiving, namely, the production of the higher animals, directly follows.

Thus, by measuring the current-day < sup > 87 </ sup > Sr /< sup > 86 </ sup > Sr ratio ( and often the Nd-Nd ratios as well ) the geological fingerprint of an object or skeleton can be measured, allowing migration patterns to be determined.

Thus the mathematical formulation of the Alcubierre metric does not contradict the conventional claim that the laws of relativity do not allow a slower-than-light object to accelerate to faster-than-light speeds.

Thus, an object starting from rest will attain a velocity of 9. 81 m / s ( 32. 2 ft / s ) after one second, 19. 62 m / s ( 64. 4 ft / s ) after two seconds, and so on, adding 9. 81 m / s ( 32. 2 ft / s ) to each resulting velocity.

Thus, to perform a spell check, a front-to-end iterator would be given a reference to a object.

Thus began a fifteen-year correspondence between Balzac and " the object of sweetest dreams ": Ewelina Hańska.

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, some objects will end in a real reference, and some with the referenced object, and the machine must be able to tell by reading the final cell which one it is.

Thus, the object's hour angle indicates how much sidereal time has passed since the object was on the local meridian.

Thus, in active declarative sentences in English the subject is followed by the main verb which in turn is followed by the object ( SVO ).

Thus a definition reflects the ultimate object of our understanding, and is the foundation of all valid inference.

Thus, astronomers measure the amount of light produced by an object as a function of time ( the light curve ).

Thus, there is no need for direct contact between the pyrometer and the object, as there is with thermocouples and resistance temperature detectors ( RTDs ).

Thus this dependency-based parse tree acknowledges the subject noun John and the object noun phrase the ball as constituents just like the constituency-based parse tree does.

Thus the speed of the diurnal motion of a celestial object is this cosine times 15 °/ hr

Thus an object can be classified as " invisible to " a person, animal, instrument, etc.