For it includes the emotional ties that bind men to their homeland and the complex motivations that hold a large group of people together as a unit.

For ten years a small group of European and U.S. critics has been calling attention to the half-forgotten Austrian expressionist Egon Schiele, who died 42 years ago at the age of 28.

For example, the steering committee might announce that the group felt a topic under study should not be dropped for an additional week as there was still too much of it untouched.

For purposes of sample selection only ( individual tests were given later ) we obtained group test scores of reading achievement and intelligence from school records of the entire third-grade population in each school system.

For if the small group notion involves the implicit claim that the phenomena of sociological investigations are of atomic or subatomic proportions, the philosopher needs to know the extent to which such entities are valid.

** For every non-empty set S there is a binary operation defined on S that makes it a group.

For example, in some groups, the group operation is commutative, and this can be asserted with the introduction of an additional axiom, but without this axiom we can do quite well developing ( the more general ) group theory, and we can even take its negation as an axiom for the study of non-commutative groups.

For every group G there is a natural group homomorphism G → Aut ( G ) whose image is the group Inn ( G ) of inner automorphisms and whose kernel is the center of G. Thus, if G has trivial center it can be embedded into its own automorphism group.

For each element a of a group G, conjugation by a is the operation φ < sub > a </ sub >: G → G given by ( or a < sup >− 1 </ sup > ga ; usage varies ).

For example, three isomers exist for cresol because the methyl group and the hydroxyl group can be placed next to each other ( ortho ), one position removed from each other ( meta ), or two positions removed from each other ( para ).

For the bottom, only the group of higher priority need be considered.

For the U. S. Government's scientific enterprise, a significant impact of NAPAP were lessons learned in the assessment process and in environmental research management to a relatively large group of scientists, program managers and the public.

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 a few years, this group of animals was regarded as a subfamily, called the Callitrichinae, of the family Cebidae.

For example, it is thought that ammonites were the principal food of mosasaurs, a group of giant marine reptiles that became extinct at the boundary .< ref name =" Kauffman ">

For example, an " X " is used to indicate a variable group amongst a class of compounds ( though usually a halogen ), while " R " is used for a radical, meaning a compound structure such as a hydrocarbon chain.

For example, it is thought that ammonites were the principal food of mosasaurs, a group of giant marine reptiles that became extinct at the boundary .< ref name =" Kauffman ">

For example, it is immediately proven from the axioms that the identity element of a group is unique.

: For an example of the simple algorithm " Add m + n " described in all three levels see Algorithm examples.

For example, ZF + DC + BP is consistent, if ZF is.

For example, an array of 10 integer variables, with indices 0 through 9, may be stored as 10 words at memory addresses 2000, 2004, 2008, … 2036, so that the element with index i has the address 2000 + 4 × i.

For a vector with linear addressing, the element with index i is located at the address B + c · i, where B is a fixed base address and c a fixed constant, sometimes called the address increment or stride.

For a two-dimensional array, the element with indices i, j would have address B + c · i + d · j, where the coefficients c and d are the row and column address increments, respectively.

For example, if the sorted list to which we apply binary search has n elements, and we can guarantee that each lookup of an element in the list can be done in unit time, then at most log < sub > 2 </ sub > n + 1 time units are needed to return an answer.

( For one particle, J = L + S.

For given nonzero integers a and b there is a nonzero integer of minimal absolute value among all those of the form ax + by with x and y integers ; one can assume d > 0 by changing the signs of both s and t if necessary.

For example, use of ( which gives é, Latin lower-case E with acute accent, U + 00E9 in Unicode ) in an XML document will generate an error unless the entity has already been defined.

For example, an 8-bit integer allows the numbers − 128 to + 127.

For example the attack on Pearl Harbor that began at 1941-12-07T18: 18Z took place on 7 December according to Hawaii Time ( UTC-10: 30 ), and on 8 December according to Japan Standard Time ( UTC + 09 ).

For example, a circle of radius 2 may be described as the set of all points whose coordinates x and y satisfy the equation x < sup > 2 </ sup > + y < sup > 2 </ sup > = 4.

For example, 330 for economics +. 9 for geographic treatment +. 04 for Europe = 330. 94 European economy ; 973 for United States +. 05 form division for periodicals

For about three decades immediately before 1902 it was negative, reaching − 6. 64 s. Then it increased to + 63. 83 s at 2000.

" For example: in mathematics, it is known that 2 + 2 = 4, but there is also knowing how to add two numbers and knowing a person ( e. g., oneself ), place ( e. g., one's hometown ), thing ( e. g., cars ), or activity ( e. g., addition ).

For example, when atomic sodium reacts with atomic chlorine, sodium donates one electron and attains an oxidation state of + 1.

For instance, if all of the coefficients were equal to unity, a so-called boxcar function, then it would implement a low-pass filter with a low frequency gain of N + 1 and a frequency response given by the sinc function.

For example, the first pair emitted by the source might be "(+ z, − x ) to Alice and (− z, + x ) to Bob ", the next pair "(− z, − x ) to Alice and (+ z, + x ) to Bob ", and so forth.

For example, arrow 17 in Figure 3 portrays the proximal radial epiphysis for boy 34, whereas the same epiphysis for girl 2 is portrayed by arrow 18 in Figure 4.

For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.

For example, the marksman gets 5 shots, but we take his score to be the number of shots before his first bull's-eye, that is, 0, 1, 2, 3, 4 ( or 5, if he gets no bull's-eye ).

For Yokuts, I tabulated these 71 items in five columns, according as they were expressed by 1, 2, 3, 4, and more than 4 stems.

For hundreds of years, the evidence available consisted of ( 1 ) the captain's fragmentary journal, ( 2 ) a highly prejudiced account by one of the survivors, ( 3 ) a note found in a dead man's desk on board, and ( 4 ) several second-hand reports.

For investors whose income is taxed at high rates, though, a tax-free yield of 4 per cent is high.

For the rivers, the 4 represented the Huai, to the ( then ) Southeast ; ;

For example Connecticut applies the following standard to review unpreserved claims: 1. the record is adequate to review the alleged claim of error ; 2. the claim is of constitutional magnitude alleging the violation of a fundamental right ; 3. the alleged constitutional violation clearly exists and clearly deprived the defendant of a fair trial ; 4. if subject to harmless error analysis, the state has failed to demonstrate harmlessness of the alleged constitutional violation beyond a reasonable doubt.

For a 256-bit block, the first row is unchanged and the shifting for the second, third and fourth row is 1 byte, 3 bytes and 4 bytes respectively — this change only applies for the Rijndael cipher when used with a 256-bit block, as AES does not use 256-bit blocks.

For example, the story of the Amazons settling with the Scythians ( Herodotus Histories 4. 110. 1-117. 1 ).

For example, a vertex configuration of ( 4, 6, 8 ) means that a square, hexagon, and octagon meet at a vertex ( with the order taken to be clockwise around the vertex ).

For example, one imperial pint ( 568 ml ) of beer at 4 % ABV contains:

For example, a regular 275ml bottle of WKD contains 1. 4 units, whereas Bacardi Breezer and Smirnoff Ice both contain 1. 5 units of alcohol.

For comparison, Sirius has an absolute magnitude of 1. 4 which is greater than the Sun's absolute visual magnitude of 4. 83 ( it actually serves as a reference point ).

For much of the history of the series ( Volumes 4 through 29 ), settings in Gaul and abroad alternated, with even-numbered volumes set abroad and odd-numbered volumes set in Gaul, mostly in the village.

For comparison, a Roman 1st BC century catapult using stones of 6. 55 kg fired with a kinetic energy of 16, 000 joules, while a mid 19th century 12 pound cannon firing projectiles of 4. 1 kg fired the projectile with a kinetic energy of 240, 000 joules.

For example A ( 4, 2 ) is an integer of 19, 729 decimal digits.

For m ≥ 4, however, it grows much more quickly ; even A ( 4, 2 ) is about 2, and the decimal expansion of A ( 4, 3 ) is very large by any typical measure.

For every 100 females there were 91. 4 males.

For every 100 females age 18 and over, there were 87. 4 males.