Given that the coiled texture is the natural state of some African Americans ' hair, or perceived as being more " African ", this simple style is now often seen as a sign of self-acceptance and an affirmation that the beauty norms of the ( eurocentric ) dominant culture are not absolute.

Given the state at some initial time ( t = 0 ), we can solve it to obtain the state at any subsequent time.

Given this reliance on literary sources, it is doubtful whether Nostradamus used any particular methods for entering a trance state, other than contemplation, meditation and incubation.

Put together: Given an input signal, current state, and stack symbol, the automaton can follow a transition to another state, and optionally manipulate ( push or pop ) the stack.

Given the above expression, evidently the result of her ( local ) measurement is that the three-particle state would collapse to one of the following four states ( with equal probability of obtaining each ):

Given the role that many social groups have in the development of public policy and the extensive connections between state bureaucracies and other institutions, it has become increasingly difficult to identify the boundaries of the state.

Given India's historic position that the original intent of the line was to separate the two nations by the highest mountains in the world, in these locations India extended its forward posts northward to the ridges, regarding this move as compliant with the original border proposal, although the Simla Convention did not explicitly state this intention.

Given the diversity of solid state compounds, an equally diverse array of methods are used for their preparation.

Given the range of his office-holding both regionally and at court, he did not need to draw ruinously on his own resources to dispense patronage on a grand scale and he was active in the arbitration of local disputes ; even state matters were regularly referred for his personal adjudication.

Given the unstable state of affairs in Massachusetts, Hillsborough instructed General Thomas Gage, Commander-in-Chief, North America, to send " such Force as You shall think necessary to Boston ".

Given that a head of state sends a letter of credence to a fellow head of state, the converse is true also.

Given that under the External Relations Act the role of representing Ireland in the accreditation of ambassadors belonged to the King of Ireland on the advice of the Irish government, between those years the Irish head of state was unambiguously the King of Ireland.

Given a closed system in an initial state, if work is done on the system in an adiabatic ( i. e. no heat transfer ) way, and given the final state after a process, the amount of work required to be transferred to the system is the same, irrespective of how this work is performed.

Dr. Tennison states: " Given the account of Elliot Paul, and given that Lead Belly witnessed boogie-woogie in 1899 in the Arklatex ; and given the North to South migration of the Thomas family ; and given the Texas & Pacific headquarters in Marshall in the early 1870s ; and given that Harrison County had the largest slave population in the state of Texas ; and given the fact that the best-documented and largest-scale turpentine camps in Texas did not occur until after 1900 in Southeast Texas, it is most probable that boogie-woogie spread from Northeast to Southeast Texas, rather than from Southeast to Northeast Texas, or by having developed diffusely with an even density over all of the Piney Woods of East Texas.

Given a more realistic yield of 36 tonnes / hectare ( 3834 US gal / acre ) the area required is about 152, 000 square kilometers, or roughly equal to that of the state of Georgia or of England and Wales.

for every Borel subset U of R. Given a mixed state S, we introduce the distribution of A under S as follows:

Given human nature, the variability of human desires, and need for scarce resources to fulfill those desires, the state of nature, as Hobbes calls this anarchic condition, must be a war of all against all.

Given the social state that was emerging, Tocqueville believed that a " new political science " would be needed.

Given the observation space, the state space, a sequence of observations, transition matrix of size such that stores the transition probability of transiting from state to state, emission matrix of size such that stores the probability of observing from state, an array of initial probabilities of size such that stores the probability that. We say a path is a sequence of states that generate the observations.

Given that Fine Gael normally received 25 % of the election result, and were reduced to third place this was an achievement in itself.

Given that the cost of replacing an executive can run over 100 % of his or her annual salary, any investment of time and energy in re-recruitment will likely pay for itself many times over if it helps a business retain just a handful of key players that would have otherwise left.

Given a relation, scaling the argument by a constant factor causes only a proportionate scaling of the function itself.

Given the versatility of both vegetables, they were usually boiled or steamed, and eaten by itself or as ingredients in soups and strews.

Given Saint Jerome's comment that, " The whole world groaned in astonishment to find itself Arian ", it appears to have failed.

Given its great distance, the daytime " guest star " observed by the Chinese could only have been a supernova — a massive, exploding star, having exhausted its supply of energy from nuclear fusion and collapsed in on itself.

Given real life prisons are same-sex communities, this fetish does lend itself to male on male or female on female activities and settings.

Given the choice, whether one believes that " the lives of entire peoples and societies have been decisively influenced by exceptional individuals " or, conversely, that whatever happens occurs as a result of impersonal forces oblivious to human intentions – Berlin rejected both options and the choice itself as nonsensical.

Given two tensor bundles E → M and F → M, a map A: Γ ( E ) → Γ ( F ) from the space of sections of E to sections of F can be considered itself as a tensor section of if and only if it satisfies A ( fs ,...) = fA ( s ,...) in each argument, where f is a smooth function on M. Thus a tensor is not only a linear map on the vector space of sections, but a C < sup >∞</ sup >( M )- linear map on the module of sections.

Given the age of the target audience, chasing teddy bears is not usually a plotline for the show itself, and when it is depicted, it is usually in a playful manner.

Given no central organizational structure for Hinduism itself as a religion, various deviations from these norms do exist.

Given its theological leanings and geography, seventeenth century Saffron Walden found itself at the center of the Eastern Association during the decade of the English Civil War.

Given that the sequences that the restriction enzymes recognize are very short, the bacterium itself will almost certainly have many of these sequences present in its own DNA.

Given its historic importance, the " Lachine Canal Manufacturing Complex " was designated a National Historic Site of Canada in 1996, in addition to the designation already enjoyed by the canal itself.

The coincidence of the goalscorer's name quickly led to the popular word game among football fans that Given " is the only Irishman who doesn't know where Dublin is " and the goal itself is still regularly featured on lists compiled of bizarre goals.

Given the costs of the road improvements, the monument itself besides the splendid funeral, and that the corporation it seems did not match a penny to these expenses having control of the Surfboat-men ’ s money, it is a lamentable indictment to Thanet ’ s officials that although their still should have been money enough left over, had it been wisely invested, to have yielded an income for life to the widows and orphans, who in the end personally received nothing out of the fund.

Given low monitoring costs and skill levels on the Ford production line, such benefits ( and the decision itself ) appear particularly significant.

" Given this presentation, it is hardly surprising that it has been taken to be a retelling of an actual legend ; Gallico writes that " the person and character of the painter are wholly fictional as is the story itself, although I am told that in some quarters the snow goose appearing over Dunkirk has been accepted as legend and I have been compelled to reply to many correspondents that it was sheer invention.

Given a set of independent identically distributed data points where according to some probability distribution parameterized by θ, where θ itself is a random variable described by a distribution, i. e. the marginal likelihood in general asks what the probability is, where θ has been marginalized out ( integrated out ):

Given a continuous map there is a map defined by This makes into a functor from the category of topological spaces into itself.

Given the fact that the tree was actually taller than Calhoun ( itself a five and six story building in different places ), the tree posed a real danger to the college structure and Calhoun students.

Given its geographical restrictions, Central Otago will never become a vast wine growing region, but if it can build upon its growing reputation for wines ( particularly Pinot Noir ) of exceptional elegance and longevity, it appears well-poised to carve itself an important and profitable niche in the world market.

Given that causality is linear, causality or motion must be finally attributed to a first cause, which logically cannot itself be moved, i. e., the unmoved mover.

Given the " Bible Belt " setting, the secession of Malebolgia from another state may be a reference to the commonly-held notion that the state of Texas retains the right to subdivide itself into ( up to five ) other states.