Thus, this bird is very likely certainly the result of a simple genetic change, perhaps just a single point mutation, affecting some part of the carotinoid metabolism-essentially the same thing that happens in albinism but in a different metabolic pathway.

Thus, a large amount of aggression occurs 5 – 15 minutes after a reunion.

Thus in each term ( endothermic & exothermic ) the prefix refers to where heat goes as the reaction occurs.

Thus if an event or its complement almost surely occurs, it is independent of itself.

Thus anode cooling occurs mainly through black-body radiation.

Thus an event will not constitute a natural disaster if it occurs in an area without vulnerability, e. g. an earthquake in an uninhabited area .< ref > Luis Flores Ballesteros.

Thus, the line deyr fé, deyja frændr (" cattle die, kinsmen die ") found in verses 76 and 77 of the Gestaþáttr can be shown to date to the 10th century, as it also occurs in the Hákonarmál by Eyvindr skáldaspillir.

Thus, breathing occurs via a change in the volume of the body cavity which is controlled by contraction of intercostal muscles in all reptiles except turtles.

Thus, the darkest evening occurs in early to mid-December, but the mornings keep getting darker until about the New Year.

Thus the field can be seen as a precision form of chemical engineering that includes protein engineering, the creation of protein molecules, a process that occurs naturally in biochemistry, e. g., prion reproduction.

Thus, pastoral as a mode occurs in many types of literature ( poetry, drama, etc.

Thus, ATP synthesis occurs on the stromal side of the thylakoids where the ATP is needed for the light-independent reactions of photosynthesis.

Thus, the writer arranged the planet so its northern hemisphere's midsummer occurs when it is nearest its sun.

Thus I < sub >(| X | ≥ a )</ sub > = 1 if the event | X | ≥ a occurs, and I < sub >(| X | ≥ a )</ sub > = 0 if | X | < a.

Thus no rotation occurs in this system as well.

Thus, a dummy variable can be defined as a qualitative representative variable incorporated into a regression, such that it assumes the value 1 whenever the category it represents occurs, and 0 otherwise.

Thus, breathing occurs via a change in the volume of the body cavity which is controlled by contraction of intercostal muscles in all reptiles except turtles.

Thus Perls made " assimilation ", as opposed to " introjection ", a focal theme in his work, and the prime means by which growth occurs in therapy.

Thus, microvascular dysfunction occurs early in diabetes, parallels the progression of neural dysfunction, and may be sufficient to support the severity of structural, functional, and clinical changes observed in diabetic neuropathy.

Thus, cohabitation occurs because of the duality of the executive: an independently elected President and a prime minister who must be acceptable both to this president and to the legislature.

Thus, it occurs in the theory of the complex projective line, and in particular, in the theory of modular forms and hypergeometric functions.

Thus, by being an effect greater than the sum of its causes, and as it occurs spontaneously, the cluster effect is a usually cited example of emergence.

Thus, mitosis occurs before the yeast reach their normal size.

Thus social determinists perceive that technological development is not only determined by the society in which it occurs, but that it is inevitably shaped by the power structures that exist in that society.

Thus pollination occurs and seeds are produced only in intermorph crosses.

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 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.