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 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 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 are also used for health problems, such as heart problems or epilepsy.

Some genes that code for protein sub units of voltage-gated and ligand-gated ion channels have been associated with forms of generalized epilepsy and infantile seizure syndromes.

Some anticonvulsant medications do not have primary FDA-approved uses in epilepsy but are used in limited trials, remain in rare use in difficult cases, have limited " grandfather " status, are bound to particular severe epilepsies, or are under current investigation.

Some epilepsy centers use intracarotid sodium amobarbital test ( Wada test ), functional MRI or Magnetoencephalography ( MEG ) as supplementary tests.

Some neurologists may develop an interest in particular subfields, such as dementia, movement disorders, headaches, epilepsy, sleep disorders, chronic pain management, multiple sclerosis, or neuromuscular diseases.

Some of the commonly encountered conditions treated by neurologists include headaches, radiculopathy, neuropathy, stroke, dementia, seizures and epilepsy, Parkinson's Disease, multiple sclerosis, head trauma, sleep disorders, neuromuscular diseases, and various infections and tumors of the nervous system.

* Some forms of drug-resistant epilepsy

Some anticonvulsants have shown antiepileptogenic effects in animal models of epilepsy.

" Some key areas of NINDS clinical research include: neurological consequences of AIDS, Alzheimer's disease, brain tumors, developmental disorders, epilepsy, motor neuron diseases, muscular dystrophies, multiple sclerosis, neurogenetic disorders, pain, Parkinson's disease and other neurodegenerative disorders, sleep disorders, spinal cord injury, stroke, and traumatic brain injury.

Some scientists speculate that some forms of essential myoclonus may be a type of epilepsy with no known cause.

Some suspected, but unproven, causes of Dupuytren's contracture include trauma, diabetes, alcoholism, epilepsy therapy with phenytoin, and liver disease.

Some frequencies of extracellular electrical stimulation of the centromedian nucleus can cause absence seizures ( temporary loss of consciousness ) although electrical stimulation can be of therapeutic use in intractable epilepsy and Tourette's syndrome.

Some problems that can occur in the breed include hip dysplasia, cherry eye, epilepsy, and allergies.

Some videos, due to their spinning graphics, may cause harmful effects to those with epilepsy.

Some of the most common conditions include hip dysplasia, seen in large breed dogs, von Willebrand disease, a disease that affects platelets that is inherited in Doberman Pinschers, entropion, a curling in of the eyelid seen in Shar Peis and many other breeds, progressive retinal atrophy, inherited in many breeds, deafness, and epilepsy, known to be inherited in Belgian Shepherd Dogs, German Shepherd Dogs, Cocker Spaniels, and St. Bernards.

Some churches require more.

Some established jurisdictions require adherence to design and historic preservation guidelines.

Some opcodes require one or more operands as part of the instruction, and most assemblers can take labels and symbols as operands to represent addresses and constants, instead of hard coding them into the program.

Some instances of exploring these " nearby " nodes require traversing up to 2 × log ( n ) links ( particularly when moving from the rightmost leaf of the root's left subtree to the leftmost leaf of the root's right subtree ).

Some contact adhesives require as long as 24 hours to dry before the surfaces are to be held together.

Some authors require in addition that μ ( C ) < ∞ for every compact set C. If a Borel measure μ is both inner regular and outer regular, it is called a regular Borel measure.

Some forms of Islamic law, as in Saudi Arabia, may require capital punishment, but there is great variation within Islamic nations as to actual capital punishment.

Some cities such as Seattle and San Francisco require food and yard waste to be sorted for composting.

Some casinos require all players to make a minimum Pass or Don't Pass bet whether they are currently shooting or not.

* Some such countries do not require tourist visas of citizens of other Commonwealth countries.

Some other cash registers require a numeric password or physical key to be used when attempting to open the till.

Some undergraduate courses require a team of 2 to 5 students to design, implement, and test a simple CPU in a FPGA in a single 15 week semester.

Some shotgun sports, such as skeet, use crossing targets presented in a narrow range of distance, and only require one level of choke.

Some of the roads in more rural area are rough and unpaved, and require a four-wheel drive vehicles.

Some holes may require a throw from a Drop Zone.

Some players will use mid-ranges as drivers, and there are tournaments that require players to use only mid-range discs.

Some digital synthesizers now exist in the form of " softsynth " software that synthesizes sound using conventional PC hardware, though they require careful programming and a fast CPU to get the same latency response as their dedicated equivalents.

Some programs offer programs with two pre-professional years followed by four professional years, while others require a four year undergraduate / bachelor's degree.

Some Protestant communities including most Lutheran churches practice closed communion and require catechetical instruction for all people before receiving the Eucharist.

Some authors also require the domain of the Euclidean function be the entire ring R ; this can always be accommodated by adding 1 to the values at all nonzero elements, and defining the function to be 0 at the zero element of R, but the result is somewhat awkward in the case of K. The definition is sometimes generalized by allowing the Euclidean function to take its values in any well-ordered set ; this weakening does not affect the most important implications of the Euclidean property.

Some patients, however, require polypharmacy, the use of two or more anticonvulsants.

Some of these risks may be self-insurable, while most will require the purchase of an insurance contract.

Some other weapons, such as crossbows, require the same license as is required for firearms.