Some definitions specify a self-sacrificial nature to altruism and a lack of external rewards for altruistic behaviors.

Some theorems related to compactness ( see the glossary of topology for the definitions ):

Some definitions also add that for any production rule of the form u → v of a context-sensitive grammar, it shall be true that | u |≤| v |.

Some definitions focus on the question of the probability of encountering a given condition of a system once characteristics of the system are specified.

Some definitions:

Some definitions of epilepsy require that seizures be recurrent and unprovoked, but others require only a single seizure combined with brain alterations which increase the chance of future seizures.

Some definitions of Mersenne numbers require that the exponent p be prime, since the associated number must be composite if p is composite.

Some scientific materialists have been criticized, for example by Noam Chomsky, for failing to provide clear definitions for what constitutes matter, leaving the term ' materialism ' without any definite meaning.

Some definitions of management are:

Some authors use the term " grammatical gender " as a synonym of " noun class ", but others use different definitions for each ( see below ).

") Some critics have argued for more or fewer dimensions while others have proposed entirely different theories ( often assuming different definitions of " personality ").

Some definitions of racism also include discriminatory behaviors and beliefs based on cultural, national, ethnic, caste, or religious stereotypes.

Some definitions simply refer to all forms of socialism that follow an electoral, reformist or evolutionary path to socialism, rather than a revolutionary one.

Some definitions now include acts of unlawful violence and war.

Some theorems are " trivial ," in the sense that they follow from definitions, axioms, and other theorems in obvious ways and do not contain any surprising insights.

Some definitions suggest xenophobia as arising from irrationality or unreason.

Some authors use more general definitions of " positive definite " that include some non-symmetric real matrices, or non-Hermitian complex ones.

Some common definitions include:

Some definitions simply refer to all forms of socialism that follow an electoral, reformist or evolutionary path to socialism, rather than a revolutionary one.

Some definitions of famines are:

Some definitions also set a minimum level for population density ( at least 2, 000 persons / square km ).

Some modern magicians, such as Aleister Crowley and those who follow the traditions of the Hermetic Order of the Golden Dawn and Ordo Templi Orientis, describe magic in rational terms, using definitions, postulates and theorems.

( Some definitions do not consider the second form of rule to be permitted, in which case a context-free grammar that can generate the empty word cannot be so transformed.

Some also create new terms without substantially changing the definitions of uncertainty or risk.

Some time ago, however, Mr. Khrushchev decided that when bigger bombs were made, the Soviet Union would make them.

Some families already have held weekend rehearsals in their home shelters to learn the problems and to determine for themselves what supplies they would need.

Some would say that they were not permitted to run their businesses only for profit ; ;

Some of those who question the value of BW have assumed that the only potential would be in the establishment of epidemics.

Some are failing to achieve as much as their ability would permit ; ;

Some of these mothers, apparently feeling a desperate urgency, made, on the spur of the moment, commitments, in love and sex, that would have life-long consequences.

Some time later, after a check had been made of all automatic equipment, the crew would join the others.

Some eastern Republicans even favored the reelection of Douglas for the Senate in 1858, since he had led the opposition to the Lecompton Constitution, which would have admitted Kansas as a slave state.

Some time after this mosaic was executed, the earliest depictions of Christ would also be beardless and haloed.

Some examples of reversible error would be erroneously instructing the jury on the law applicable to the case, permitting seriously improper argument by an attorney, admitting or excluding evidence improperly, acting outside the court's jurisdiction, injecting bias into the proceeding or appearing to do so, juror misconduct, etc.

Some commentators have suggested that this incident would influence Kurosawa's later artistic career, as the director was seldom hesitant to confront unpleasant truths in his work.

Some bishops were initially reluctant to attend, fearing that the meeting would declare itself a council with power to legislate for the church ; but it agreed to pass only advisory resolutions.

Some of the plants are herbs that produce enough scent to possibly dilute the odours of nearby plants, or the pheromones emitted by insects that find those plants, which would otherwise attract more pests.

Some medications someone with this phobia might take would include anti-anxiety medications or anti-depressants.

Some they would take as slaves, and once or twice a year they would have sex with their slaves.

Some feel that the text of Acts shows evidence of having used the Jewish historian Josephus as a source ( in which case it would have to have been written sometime after 94 AD ).

Some astronomers endeavoured to explain this by parallax, but these attempts were futile, for the motion was at variance with that which parallax would produce.

Some have argued that in defensive postures, for example, the primary intention of a soldier is not to kill, but to save, and the act of killing in that situation would have minimal negative karmic repercussions.

Some argue that the view of Arianism that exists to this day among most Christians would not have existed were it not for Athanasius.

Some observers have related this explanation to Islam's ban on suicide, which, it is suggested, drove Malay men to create circumstances in which others would kill them.

Some larger BBSes or regional FidoNet hubs would make several transfers per day, some even to multiple nodes or hubs, and as such, transfers usually occurred at night or early morning when toll rates were lowest.

Some early ' skyscrapers ' were made in masonry, and demonstrated the limitations of the material – for example, the Monadnock Building in Chicago ( opened in 1896 ) is masonry and just 17 stories high ; the ground walls are almost thick, clearly building any higher would lead to excessive loss of internal floor space on the lower floors.

Some phonologists model these as both being the underlying vowel, so that the English word bit would phonemically be, beet would be, and yield would be phonemically.