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 would have it that any assumption that a person's behavior would be influenced by their racial categorization is racist, regardless of whether the action is intentionally harmful or pejorative.

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 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 western social scientists have theorized that individuals from societies where the food supply was lean and famines frequent were likely to regard being fat as a desirable body structure and to see being fat as beautiful.

Some commentators have identified British government inaction as contributing factors to the severity of famines during the time India was under British rule.

Some of us might be inclined to argue, in fact, that an independence of mind and action and an intolerance of regimentation, either mental or physical, are particularly Southern traits.

Some years ago Julian Huxley proposed to an audience made up of members of the British Association for the Advancement of Science that `` man's supernormal or extra-sensory faculties are ( now ) in the same case as were his mathematical faculties during the ice age ''.

Some are fishing, some driving the team, and many are sitting indolently on the banks of the river.

Some historians have found his point of view not to their taste, others have complained that he makes the Tory tradition appear `` contemptible rather than intelligible '', while a sympathetic critic has remarked that the `` intricate interplay of social dynamics and political activity of which, at times, politicians are the ignorant marionettes is not a field for the exercise of his talents ''.

Some of the marble busts in the park are of young Englishmen who fought and died for Garibaldi.

Some accounts are quite lengthy but Florida's is the shortest of all, requiring only four paragraphs.

Some plant-location specialists take these signs to mean St. Louis county doesn't want industry, and so they avoid the area, and more jobs are lost.

Some fiscal changes are important.

Some brilliant rookies nailed them down, so that this spring just two spots, left and right field, are really up for grabs.

Some of the stumps are as much as three feet long, but most of them have been flattened by the pressure of the overlying sediments.

Some privately held inholdings are a source of direct damage to these Federal lands.

Some 45 frequencies are assigned for use primarily by dominant Class 1, -- A or Class 1, -- B clear-channel stations, designed to operate with adequate power and to provide service -- both groundwave and ( at night ) skywave -- over large areas and at great distances, being protected against interference to the degree necessary to achieve this objective.

Some deductions are subtracted from Gross Income to determine Adjusted Gross Income.

Some renditions are of symphonic dimensions, with the contrabass given free rein.

Some of them are obvious, such as the fact that we associate recorded and live music with our responses and behavior in different types of environments and social settings.

Some tasty frank toppings are chili con carne, Coney Island sauce and savory sauerkraut.

Some general things to look for in a site, if you haven't already bought one, are accessibility, water drainage, and orientation.

Some distribution costs are kept up by competitive pressure, some by the fact that the customers have come to expect certain niceties and flourishes.

Some of these temperatures are plotted in figure 4.

( Some suspensions break up before they are near to the direction of shear, and some become asymptotic to it without breakup.

Some experiments are composed of repetitions of independent trials, each with two possible outcomes.

Some of these speculations may have some merit, others are somewhat ambiguous.

Some phonetic features, for example glottal catch or murmur, are sometimes to be assigned to segmental phonemics and sometimes to accentual systems.

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