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For and 1
For example: 1.
( For each State, make all computations set forth in items 1 to 8 above, and then add the results obtained for each State in item 8.
For an engine speed of 5000 rpm, a gear ratio of 4.00 to 1, and a tire radius of 13 inches, the equation would look like this: Af
For continuous control, feed 1 part phenothiazine to 9 parts minerals or salts.
For the albumin method, equal volumes of 30% bovine albumin, sample and 2% cells suspended in saline were allowed to stand at room temperature for 1 hr and then were centrifuged at 1000 rpm for 1 Aj.
For preparative ultracentrifugation, fractions from the column were concentrated by negative pressure dialysis to volumes of 1 ml or less, transferred to cellulose tubes and diluted to 12 ml with isotonic saline.
For example, the marked susceptibility of the monkey to respiratory infection might be related to its delicate, long alveolar ducts and short, large bronchioles situated within a parenchyma entirely lacking in protective supportive tissue barriers such as those found in types 1, and 3.
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 Athabascan, with a greater range of stems, the first two of five corresponding columns were identical, 1 and 2 stems ; ;
For the initial development an oxidation pond was constructed as shown in Figure 1.
For example Test 3, E 1 refers to a specimen which has been washed by procedure `` 3 ( '' ( at 160-degrees-F ) for a total of 60 minutes in the machine, has been dried in a tumble dryer by procedure `` E '' and has been subjected to restorative forces on the Tension Presser by procedure `` 1 ''.
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 example, the 2nd Academy Awards presented on April 3, 1930, recognized films that were released between August 1, 1928 and July 31, 1929.
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 example, the open interval ( 0, 1 ) does not have a least element: if x is in ( 0, 1 ), then so is x / 2, and x / 2 is always strictly smaller than x.
For example, the analysis of the debris at the testing site of the first U. S. hydrogen bomb, Ivy Mike, ( 1 November 1952, Enewetak Atoll ), revealed high concentrations of various actinides including americium ; due to military secrecy, this result was published only in 1956.
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 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 prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N / ln N. Therefore the proportion of prime integers is roughly 1 / ln N, which tends to 0.
For example, if the water is 25 ft ( 8 m ) deep, and the anchor roller is 3 ft ( 1 m ) above the water, the scope is the ratio between the amount of cable let out and 28 ft ( 9 m ).

For and
For any information rate R < C and coding error ε > 0, for large enough N, there exists a code of length N and rate ≥ R and a decoding algorithm, such that the maximal probability of block error is ε ; that is, it is always possible to transmit with arbitrarily small block error.
For example, R is an ordering and S an ordering, then an isomorphism from X to Y is a bijective function such that
For a population of size n, with a sequence of values y < sub > i </ sub >, i = 1 to n, that are indexed in non-decreasing order ( y < sub > i </ sub > y < sub > i + 1 </ sub >), the Lorenz curve is the continuous piecewise linear function connecting the points ( F < sub > i </ sub >, L < sub > i </ sub > ), i
# For every x, y in F, there is some element z in F such that z x and z y.
# For every x in F and y in P, x y implies that y is in F. ( F is an upper set )
For example, if x y then x may be equal to y, or maybe not, but if x < y, then x definitely does not equal y, but is strictly less than y.
For each ( non-strict ) total order there is an associated asymmetric ( hence irreflexive ) relation <, called a strict total order, which can equivalently be defined in two ways:
For each x in X, let s ( x ) be the successor of x in ordering on X ( unless x is the last element of X ).
For K-level based transitions, Auger effects are dominant for Z < 15 while for L-and M-level transitions, AES data can be measured for Z 50.
For instance, Nils Pipping in 1938 laboriously verified the conjecture up to n 10 < sup > 5 </ sup >.
For instance, if we abstract sets of couples ( x, y ) of real numbers by enclosing convex polyhedra, there is no optimal abstraction to the disc defined by x < sup > 2 </ sup >+ y < sup > 2 </ sup > 1.
The reflexive closure of a binary relation ~ on a set S is the smallest relation ~′ such that ~′ is a superset of ~ and ~′ is reflexive on S. This is equivalent to the union of ~ and the identity relation on S. For example, the reflexive closure of x < y is x y.
For example, the reflexive reduction of x y is x < y.
For a given value of, there are 2ℓ + 1 independent solutions of this form, one for each integer m with − ℓ m .
For example U 0. 8284 for n = 2.
For any x > 0, there exists a unique integer n such that 2 < sup > n </ sup > x < 2 < sup > n + 1 </ sup >, or equivalently 1 2 < sup >− n </ sup > x < 2.
Lemma: For any p, we have p < sup > R ( p, n )</ sup > 2n.
For each a, b in G there exist m, n in N such that ma b and a nb.
:* For all x in R, x x.
:* For all x and y in R, if x y and y x, then x = y.

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