For some such computational process, the algorithm must be rigorously defined: specified in the way it applies in all possible circumstances that could arise.

For dairy production under such circumstances, the calf's access to the cow must be limited, for example by penning the calf and bringing the mother to it once a day after partly milking her.

For decades, medical personnel and others have fought, and continue to fight, to define the circumstances for which a patient is “ dead ”.

For example, the circumstances of the hero's conception are unusual ; an attempt is made by a powerful male at his birth to kill him ; he is spirited away ; reared by foster-parents in a far country.

For the time being, he averted a verdict by arriving at the hearing set for him with ten thousand followers and bondsmen ; yet before the large force mustered by the authorities could apprehend him, he died under unexplained circumstances, the Helvetii believed by his own hand.

For example, where a prisoner hanged himself in a cell, he came by his death by hanging and it was not the role of the inquest to enquire into the broader circumstances such as the alleged neglect of the prison authorities that might have contributed to his state of mind or given him the opportunity.

I say, where the insanity is absolute, and is duly proved: For if reason and humanity enforce the plea in these circumstances, it is no less necessary to observe a caution and reserve in applying the law, as shall hinder it from being understood, that there is any privilege in a case of mere weakness of intellect, or a strange and moody humor, or a crazy and capricious or irritable temper.

For example, Josephus ' description of the death of John the Baptist includes consideration of his virtues, the theology associated with his baptismal practices, his oratorical skills, his influence, the circumstances of his death, and the belief that the destruction of Herod's army was a divine punishment for Herod's slaughter of John.

For these reasons there is a widespread scholarly view that the sacrificial rules of Leviticus 1 – 16 were introduced after the Babylonian exile, when circumstances allowed the priestly writers to describe the rituals so as to express their worldview of an idealised Israel living its life as a holy community in observance of the priestly prescriptions.

For example, although most dinoflagellates are either photosynthetic producers or heterotrophic consumers, many species are mixotrophic depending upon circumstances.

" Daily Telegraph columnist Jasper Rees, likening the changes in explorers ' reputations to climatic variations, suggests that " in the current Antarctic weather report, Scott is enjoying his first spell in the sun for twenty-five years ". The New York Times Book Review was more critical, pointing out Crane's support for Scott's discredited claims regarding the circumstances of the freeing of the Discovery from the pack ice, and concluded " For all the many attractions of his book, David Crane offers no answers that convincingly exonerate Scott from a significant share of responsibility for his own demise.

For example, ascorbic acid ( vitamin C ) is a vitamin for humans, but not for most other animals, and biotin and vitamin D are required in the human diet only in certain circumstances.

It is important to realize that the word problem is in fact solvable for many groups G. For example, polycyclic groups have solvable word problems since the normal form of an arbitrary word in a polycyclic presentation is readily computable ; other algorithms for groups may, in suitable circumstances, also solve the word problem, see the Todd – Coxeter algorithm and the Knuth – Bendix completion algorithm.

For instance, classical physics is simpler than more recent theories ; nonetheless it is not be preferred over them, because it produces inaccurate predictions in some circumstances.

For example, children may not work after 11: 30 pm under most circumstances, or perform in any location that serves alcohol.

For example, it is found in the following circumstances, with the characteristic ending of-a or-ta:

For another, material which we now find in the biography of the Prophet originated in various circumstances to meet various needs and one has to understand why material exists before one can make a judgment about its basis in fact ...

For many purposes and physical circumstances, the error in direction that results from ignoring the distinction is tolerable ; in others a mental or instrument compensation, based on assumed knowledge of the applicable declination, can solve all the problems.

For centuries, women have worn sheer veils, but only under certain circumstances.

For a period he was heir to the throne of Augustus, but in unclear circumstances he was arrested and exiled.

For safety reasons this walk is closed under certain circumstances including heat, darkness and during rescue.

For example, in the United States, wetlands are defined as " those areas that are inundated or saturated by surface or groundwater at a frequency and duration sufficient to support, and that under normal circumstances do support, a prevalence of vegetation typically adapted for life in saturated soil conditions.

For example, he tells Buddy Baker that the next writer could have him eating meat ( which in fact did happen, in a bizarre set of circumstances ), and Buddy says, " But I don't eat meat ," to which Morrison retorts, " No, I don't eat meat.

Mr Duncan Smith said: " For people who fall out of work, we have always said there will be discretionary measures to make sure that this does not punish people but we make sure that we help them to change their circumstances.

For the case of Jupiter, the radio emission spectrum is definitely not like the spectrum of a black-body radiator, and it seems very likely that the radiation reaching the earth is a combination of thermal radiation from the atmosphere and non-thermal components.

For if such were the case, either the plane of the two lines would meet **zg in more than K points or, alternatively, the order of the image regulus of the pencil determined by the two lines would be too high.

For the case of a purely inertial autonavigator consisting of three restrained gyros, a coordinate system is used where the sensitive axis of the X accelerometer is parallel to the east-west direction at the base point, and the Y accelerometer sensitive axis is parallel to the north-south direction at the base point.

For the incremental case ( i. e., ), this simplifies to:

For an ideal gas, the temperature remains constant because the internal energy only depends on temperature in that case.

For private suits only the victims or their families could prosecute, while for public suits anyone ( ho boulomenos, ' whoever wants to ' i. e. any citizen with full citizen rights ) could bring a case since the issues in these major suits were regarded as affecting the community as a whole.

For example a two dimensional array with three rows and four columns might provide access to the element at the 2nd row and 4th column by the expression: ( in a row major language ) and ( in a column major language ) in the case of a zero-based indexing system.

For this last case, the cohesive fracture can be said to be “ cohesive near the interface ”.

For some specializations within conservation this is still the case.

For the frequent case of propositional logic, the problem is decidable but Co-NP-complete, and hence only exponential-time algorithms are believed to exist for general proof tasks.

For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.

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

For larger quantities one must go to a beverage distributor which sells beer only by the case or keg.

For example, bacteria catalyse the breakdown of the mineral pyrite ( FeS < sub > 2 </ sub >) by oxidising the sulfur and metal ( in this case ferrous iron, ( Fe < sup > 2 +</ sup >)) using oxygen.

For case of single stranded DNA / RNA units of nucleotides are used, abbreviated nt ( or knt, Mnt, Gnt ), as they are not paired.

For example in the case of anthrax, it is likely that by 24 – 36 hours after an attack, some small percentage of individuals ( those with compromised immune system or who had received a large dose of the organism due to proximity to the release point ) will become ill with classical symptoms and signs ( including a virtually unique chest X-ray finding, often recognized by public health officials if they receive timely reports ).

For the case of a non-commutative base ring R and a right module M < sub > R </ sub > and a left module < sub > R </ sub > N, we can define a bilinear map, where T is an abelian group, such that for any n in N, is a group homomorphism, and for any m in M, is a group homomorphism too, and which also satisfies

For case,

For example, most areas of law in most Anglo-American jurisdictions include " statutory law " enacted by a legislature, " regulatory law " promulgated by executive branch agencies pursuant to delegation of rule-making authority from the legislature, and common law or " case law ", i. e., decisions issued by courts ( or quasi-judicial tribunals within agencies ).

For example, civil law can be clearer than case law when the legislature has had the foresight and diligence to address the precise set of facts applicable to a particular situation.

For example, in the case of acetic acid dissolved in water and forming acetate and hydronium ions,

For example, the 1972 Constitution designates the Prime Minister as constitutional successor of the Head of State in case of incapacity, death, resignation or unaccountable absence of the incumbent.

For example, in one case, a prominent Chicana feminist writer and poet has indicated the following subjective meaning through her creative work.

For example in the Netherlands, the law assumes the stronger participant ( e. g. a car driver ) is liable in the case of an accident with a weaker participant ( e. g. a cyclist ) unless it can be proved that the cyclist's behavior could not have been expected.