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, the Mahayana metaphysic of mystical union for salvation was distilled down to a bare self-seeking, and for this reason, the mystic in Asia did not long remain in isolated contemplation.

Thus, these wastes must be shielded for centuries and isolated from the living environment for millennia.

Thus isolated and abandoned by his allies, Raynald decided that abject submission was his only hope.

Thus an algorithm to find isolated real roots of a low-degree polynomial in one variable may bear little resemblance to an algorithm for complex roots of a " black-box " function which is not even known to be differentiable.

Thus, she loathed the isolated position in society that exile had forced upon her.

Thus it usually involves an extensive outreach effort to include marginalized, isolated, ignored groups in decisions, and to extensively document dissent, grounds for dissent, and future predictions of consequences of actions.

Thus, works by Balzac, Flaubert, James Joyce, and D. H. Lawrence were banned based on isolated passages and the effect they might have on children.

Thus any black hole which has been isolated for a significant period of time can be described by the Kerr – Newman metric in an appropriately chosen reference frame.

Thus, federal law does not prohibit simple teasing, offhand comments, or isolated incidents that are not extremely serious.

Thus, when reactions ( whether chemical or nuclear ) release energy in the form of heat and light, if the heat and light is not allowed to escape ( the system is closed and isolated ), the energy will continue to contribute to the system rest mass, and the system mass will not change.

Thus, isolated tomatillo plants rarely set fruit.

Thus, works by Balzac, Flaubert, James Joyce and D. H. Lawrence were banned based on isolated passages and the effect they might have on children.

Thus the two circuits are no longer isolated from each other, and circuit 1 can introduce interference into the output of circuit 2.

Thus, bacterial ( CrtW ) and micro-algal beta-carotene ketolase proteins such as BKT isolated from heamatococcus pluvialis ) are known.

Princeton: Princeton University Press .</ ref > Thus, it has become increasingly common in scholarship in recent decades to refer to the foreign relations policy of the period not as sakoku, implying a totally secluded, isolated, and " closed " country, but by the term kaikin ( 海禁, " maritime prohibitions ") used in documents at the time, and derived from the similar Chinese concept hai jin.

Thus an isolated pawn provides a typical example of what Wilhelm Steinitz called weak squares.

Thus, after the Holocene, when the temperature increased, the landbridges and Sunda River were inudated and the catfish populations were isolated.

Thus, after the Holocene, when the temperature increased, the landbridges and Sunda River were inudated and the catfish populations were isolated.

Thus Durrës alongside the Krujë and Vlora regions became the only domains in mainland Albania which were still under Charles I's control, but they were landlocked and isolated from each other.

Thus, Dunne does not belong to either social group and lives an isolated life which is one reason why he becomes delusional.