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

Some forms of capitalism do indeed work -- superb organizations, a credit to any society.

Some clarets do not come into their own until they are ten or fifteen years of age, or even more.

Some turnpikes have not been in full operation long enough to prove what they can do.

Some persons are so sensitive to this truth as to propose that we do away with institutions altogether ; ;

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 results in constructive set theory use the axiom of countable choice or the axiom of dependent choice, which do not imply the law of the excluded middle in constructive set theory.

Some flowers are functionally staminate ( where a pistil may be present but has no ovules capable of being fertilized ) while others are functionally pistillate ( where stamens are present but their anthers do not produce viable pollen ).

Some, like Rambert, are exiles in double measure since they are not only cut off from those they want to be with but they do not have the luxury of being in their own homes.

Some subfields of R have nontrivial field automorphisms, which however do not extend to all of R ( because they cannot preserve the property of a number having a square root in R ).

Some doctrines, however, do adhere to the Arminian foundation and, while minority views, are highlighted below.

Some other sources do classify him as an antipope.

Some other English changes in which most North American dialects do not participate:

Some have suggested that the title " Acts " be interpreted as " The Acts of the Holy Spirit " or even " The Acts of Jesus ," since 1: 1 gives the impression that these acts were set forth as an account of what Jesus continued to do and teach, Jesus himself being the principal actor.

Some thinkers, for instance, have argued that the difference between fine art and applied art has more to do with the actual function of the object than any clear definitional difference.

Some alkaloids do not have the carbon skeleton characteristic of their group.

Some argue that the evidence for antipsychotics from discontinuation-relapse studies may be flawed, because they do not take into account that antipsychotics may sensitize the brain and provoke psychosis if discontinued, which may then be wrongly interpreted as a relapse of the original condition.

Some people with albinism do well using bifocals ( with a strong reading lens ), prescription reading glasses, and / or hand-held devices such as magnifiers or monoculars.

Some scientists believe it has to do with a kind of neural map that the brain has of the body, which sends information to the rest of the brain about limbs regardless of their existence.

Some of the things they do could cause a person to get hurt, expelled, arrested, possibly deported.

Some mathematicians, especially in set theory, do not consider the sets and to be part of the relation, and therefore define a binary relation as being a subset of x, that is, just the graph.

Some games do not permit the player to increase the bet by amounts other than 100 %.

Some linguists, such as John DeFrancis and J. Marshall Unger have argued that genuine ideographic writing systems with the same capacities as natural languages do not exist.

Some liberal Christians do not accept a literal bodily resurrection, seeing the story as richly symbolic and spiritually nourishing myth.

Some questions in the study of visual perception, for example, include: ( 1 ) How are we able to recognize objects ?, ( 2 ) Why do we perceive a continuous visual environment, even though we only see small bits of it at any one time?

Some philosophers, such as Daniel Dennett in an essay titled The Unimagined Preposterousness of Zombies, argue that people who give this explanation do not really understand what they are saying.