Thus, although the accused's characteristics were to be taken into account when assessing the gravity of the provocation, the standard of self-control to be expected was invariable except for the accused's age and sex.

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 dynamic characteristic of DHTML is the way it functions while a page is viewed, not in its ability to generate a unique page with each page load.

Thus one must be careful with the notation when using these functions, because various reputable references and software packages use different conventions in the definitions of the elliptic functions.

Thus the complexity of a digital filter and the computing time involved, grows inversely with, placing a higher cost on filter functions which better approximate the desired behavior.

Thus, we would say that the function is decomposed into functions.

Thus, for example, if we can obtain a decomposition of into a hierarchical composition of functions such that,,, as shown in the figure at right, this would probably be considered a highly valuable decomposition.

Thus, the statement that f is an idempotent unary operation on S is equivalent to the statement that f is an idempotent element with respect to the function composition operation ∘ on functions from S to S.

Thus in the following days from September 20, 1945, the functions of the OSS were split between the Department of State and the Department of War.

Thus, its functions largely overreached simple law enforcement activities and included public health concerns, urban planning ( which was important because of the miasma theory of disease ; thus, cemeteries were moved out of town, etc.

Thus, functions can be assigned as values to variables or passed as arguments to functions.

Thus, if in the defining sequence of a recursive function the functions and appear, then terms of the form ' g ( 5 )= 7 ' or ' h ( 3, 2 )= 10 ' might appear.

Thus several psychologists such as Howe have argued against the existence of innate talent, while in neuroscience there have been debates that the brain functions with Mass action, rather than by a series of interacting mechanisms – for instance by Karl Lashley and others.

where D denotes the continuum derivative operator, mapping f to its derivative f. The expansion is valid when both sides act on analytic functions, for sufficiently small h. Thus, T < sub > h </ sub >= e < sup > D </ sup >, and formally inverting the exponential yields

Thus, the bolt carrier itself functions as a piston as in the French MAS 49 and 49-56 rifles.

Thus, one may perform algebraic operations, because of the group structure, and one may talk about continuous functions, because of the topology.

Thus the set of functions, where g is any one-argument function, represents the entire set of functions in variables x, y that could have produced the x-partial derivative 2x + y.

Thus, economic transformation created severe problems in maintaining social welfare since local governments were unable to assume financial or operational responsibility for these functions.

Thus, if we know how it acts on functions, we know what it is.

Thus, it functions as a synergistic partner to insulin.

By using analytic continuation to eliminate removable singularities, meromorphic functions can be added, subtracted, multiplied, and the quotient can be formed unless on a connected component of D. Thus, if D is connected, the meromorphic functions form a field, in fact a field extension of the complex numbers.

Thus, the first step in evaluating organizational effectiveness is to understand the organization itself-how it functions, how it is structured, and what it emphasizes.

Thus, we might provide limited assistance in such fields as education, essential transport, communications, and agricultural improvement despite the absence of acceptable country programs.

Thus, casework involving a limited number of interviews is still to be regarded in terms of the quality of service rendered rather than of the quantity of time expended.

Thus, a PICMG backplane can provide any number and any mix of ISA, PCI, PCI-X, and PCI-e slots, limited only by the ability of the SBC to interface to and drive those slots.

Thus, despite all of these desirable properties, such engines have not succeeded in production because of costs for the ceramic components and the limited advantages.

Thus, for example, controversies in physics are limited to subject-areas where experiments cannot be carried out yet, whereas Benford's Law implies that controversy is inherent to politics, where communities must frequently decide on courses of action based on insufficient information.

Thus, the majority of communications can no longer be intercepted by earth stations ; they can only be collected by tapping cables and intercepting line-of-sight microwave signals, which is possible only to a limited extent.

Thus, only a limited number of individuals were hired as scribes to be trained in its use.

Thus the role of government technocrats is clearly limited, and it is not feasible to see the government outside the control of the party.

Thus, the original definition was limited to structures of unicellular organisms.

The rule is that “ n actor ’ s liability is limited to those physical harms that result from the risks that made the actor ’ s conduct tortious .” Thus, the operative question is " what were the particular risks that made an actor's conduct negligent?

Thus, sexual selection takes two major forms: intersexual selection ( also known as ' mate choice ' or ' female choice ') in which males compete with each other to be chosen by females ; and intrasexual selection ( also known as ' male – male competition ') in which members of the less limited sex ( typically males ) compete aggressively among themselves for access to the limiting sex.

Thus delivery and surgery are limited, and serious injury can necessitate communicating with passing fishing vessels, so that the injured person can be transferred to Cape Town.

Thus SSE2 is much more suitable for scientific calculations than either SSE1 or 3DNow !, which were limited to only single precision.

Thus, both of Syrah's parents come from a limited area in southeastern France, very close to northern Rhône.

Thus one prevents long strings without change via such devices as run length limited codes.

Thus, many believed that tribes organize links between families ( including clans and lineages ), and provide them with a social and ideological basis for solidarity that is in some way more limited than that of an " ethnic group " or of a " nation ".

Thus, the diagnostic utility of measuring uric acid level is limited.

Thus an ex facie absolute disposition, qualified by a back-bond expressing the limited nature of the right actually held by the person to whom the disposition is made, would constitute what in England is termed a deed of trust.

Thus, written records tend to reflect the biases, assumptions, cultural values and possibly deceptions of a limited range of individuals, usually only a fraction of the larger population.

Thus the art has a choppy, unpolished look and the animation is extremely limited even by television animation standards.

Thus the history of English military law up to 1879 may be divided into three periods, each having a distinct constitutional aspect: ( I ) prior to 1689, the army, being regarded as so many personal retainers of the sovereign rather than servants of the state, was mainly governed by the will of the sovereign ; ( 2 ) between 1689 and 1803, the army, being recognized as a permanent force, was governed within the realm by statute and without it by the prerogative of the crown and ( 3 ) from 1803 to 1879, it was governed either directly by statute or by the sovereign under an authority derived from and defined and limited by statute.

Thus the number of terminals with which powerful mainframes could otherwise communicate was limited.

Thus, smaller and poorer countries, such as Ecuador, Honduras, and the Dominican Republic, could implement ISI only to a limited extent.

Thus the council abolished annates, greatly limited the abuse of " reservation " of the patronage of benefices by the pope, and completely abolished the right claimed by the pope of " next presentation " to benefices not yet vacant ( known as gratiae expectativae ).

Thus, power can be seen as various forms of constraint on human action, but also as that which makes action possible, although in a limited scope.