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where and b
This involves an auxiliary regression, wherein the residuals obtained from estimating the model of interest are regressed on ( a ) the original regressors and ( b ) k lags of the residuals, where k is the order of the test.
* SV — Save: number of games where the pitcher enters a game led by the pitcher's team, finishes the game without surrendering the lead, is not the winning pitcher, and either ( a ) the lead was three runs or fewer when the pitcher entered the game ; ( b ) the potential tying run was on base, at bat, or on deck ; or ( c ) the pitcher pitched three or more innings
A binary operation, ab, depends on the ordered pair ( a, b ) and so ( ab ) c ( where the parentheses here mean first operate on the ordered pair ( a, b ) and then operate on the result of that using the ordered pair (( ab ), c )) depends in general on the ordered pair (( a, b ), c ).
The four scrolls that preserve the relevant sections ( 1QDan < sup > a </ sup >, 4QDan < sup > a </ sup >, 4QDan < sup > b </ sup >, and 4QDan < sup > d </ sup >) all follow the same bilingual nature of Daniel where the book opens in Hebrew, switches to Aramaic at 2: 4b, then reverts back to Hebrew at 8: 1.
the base b, where 2 <= b <= 10, This routine uses the fact that
According to the theorem, it is possible to expand the power ( x + y )< sup > n </ sup > into a sum involving terms of the form ax < sup > b </ sup > y < sup > c </ sup >, where the exponents b and c are nonnegative integers with, and the coefficient a of each term is a specific positive integer depending on n and b. When an exponent is zero, the corresponding power is usually omitted from the term.
These numbers also arise in combinatorics, where gives the number of different combinations of b elements that can be chosen from an n-element set.
In calculus, this picture also gives a geometric proof of the derivative if one sets and interpreting b as an infinitesimal change in a, then this picture shows the infinitesimal change in the volume of an n-dimensional hypercube, where the coefficient of the linear term ( in ) is the area of the n faces, each of dimension
The equation of a circle is ( x − a )< sup > 2 </ sup > + ( y − b )< sup > 2 </ sup > = r < sup > 2 </ sup > where a and b are the coordinates of the center ( a, b ) and r is the radius.
where A is a 2 × 2 orthogonal matrix and b = ( b < sub > 1 </ sub >, b < sub > 2 </ sub >) is an arbitrary ordered pair of numbers ; that is,
where b and c are scalars, v is any vector of size n and I is the identity matrix of size n. These properties state that the determinant is an alternating multilinear function of the columns, and they suffice to uniquely calculate the determinant of any square matrix.
( where again a and b are one-half of the ellipse's major and minor axes respectively, and f is the focal distance ) or, as expressed in terms using the flattening factor
The area enclosed by an ellipse is πab, where a and b are one-half of the ellipse's major and minor axes respectively.
where N is the total number of individuals in the population, B is the number of births, D is the number of deaths, b and d are the per capita rates of birth and death respectively, and r is the per capita rate of population change.
where a and b are integers.
In 1966, L. J. Lander, T. R. Parkin, and John Selfridge conjectured that if, where a < sub > i </ sub > ≠ b < sub > j </ sub > are positive integers for all 1 ≤ i ≤ n and 1 ≤ j ≤ m, then m + n ≥ k.

where and c
where n < sup > c </ sup > denotes the charge conjugate state, i. e., the antiparticle.
Aimoin ( c. 960-c. 1010 ), French chronicler, was born at Villefranche-de-Longchat about 960, and in early life entered the monastery of Fleury, where he became a monk and passed the greater part of his life.
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.
In Analytical Geometry a section of a line can be given by the formula where ( c, d )&( e, f ) are the endpoints of the line & m: n is the ratio of division
Detailed analysis shows that the complexity class is unchanged by allowing error as high as 1 / 2 − n < sup >− c </ sup > on the one hand, or requiring error as small as 2 < sup >− n < sup > c </ sup ></ sup > on the other hand, where c is any positive constant, and n is the length of input.
Inspired by a concert where he saw John Lee Hooker perform, he supplemented his work as a carpenter and mechanic with a developing career playing on street corners with friends, including Jerome Green ( c. 1934 – 1973 ), in a band called The Hipsters ( later The Langley Avenue Jive Cats ).
9 ( 1 )( c ) of the Radiocommunication Act creates a prohibition against all decoding of encrypted programming signals, followed by an exception where authorization is received from the person holding the lawful right in Canada to transmit and authorize decoding of the signal.
Columba is the patron saint of the city of Derry, Ireland where he founded a monastic settlement in c. AD 540.
The tension at c is tangent to the curve at c and is therefore horizontal, and it pulls the section to the left so it may be written (− T < sub > 0 </ sub >, 0 ) where T < sub > 0 </ sub > is the magnitude of the force.
Finally, weight of the chain is represented by ( 0, − λgs ) where λ is the mass per unit length, g is the acceleration of gravity and s is the length of chain between c and r.
where the limits of integration are c and r. Balancing forces as in the uniform chain produces
If the weight of the roadway per unit length is w and the weight of the cable and the wire supporting the bridge is negligible in comparison, then the weight on the cable from c to r is wx where x is the horizontal distance between c to r. Proceeding as before gives the differential equation

where and are
`` Clay '', he said, `` where are we goin ''??
`` Stay right here where you are, kid '', he called.
I asked the same questions inside the launch-control rooms of an Atlas missile base in Wyoming, where officers who wear sidearms are manning the `` commit buttons '' that could start a war -- accidentally or by design -- and in the command centers where other pistol-packing men could give orders to push such buttons.
they are the places where Persians live.
In Persia, where practically speaking there are no museums or libraries or, for that matter, hardly any books, the twins run free.
Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.
Not discussed here are some military problems of modern times such as undersea warfare, where the surveillance, sending, transmitting, and receiving are all so inadequate that networks and decision making are not the bottlenecks.
Ideally speaking, it should be allowed to operate only where the public has a great stake in the continuity of supply or services, and where the actions of a single proprietor are secondary to the needs of society.
Examples are in public utilities, making military aircraft and accessories, or where the investment and risk for a proprietorship would be too great for a much needed project impossible to achieve by any means other than the corporate form, e.g. constructing major airports or dams.
Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.
`` On each side of the Hoogli, where we are now sailing, are the Hindoo cottages, as thick together as the houses in our seaports.
but it is perennially restructured in situations where anchors are dragged or lost.
In this essay, we are, along with most historians, interested in the more general or more inclusive ideas, that are so to speak `` writ large '' in history of literature where they recur continually.
The novel, which is not merely dystopian but also brilliantly satiric, describes a future America where one-sixteenth of the population, the men who run advertising agencies and big corporations, control the rest of the people, the submerged fifteen-sixteenths who are the workers and consumers, with the government being no more than `` a clearing house for pressures ''.
Around that statue in the green park where children play and lovers walk in twos and there is a glowing view of the whole city, in that park are the rows of marble busts of Garibaldi's fallen men, the ones who one day rushed out of the Porta San Pancrazio and, under fire all the way, up the long, straight narrow lane to take, then lose the high ground of the Villa Doria Pamphili.
For instance, so-called `` conservative '' organizations, some of them secret, are sprouting in the garden of joining where `` liberal '' organizations once took root.
They enlisted the help of the New Jersey congressman, who has been able to trace the letters to the national archives, where they are available on microfilm.
The speed is controlled by pressing on the two brake buttons located where the index finger and thumb are placed when holding the motor.

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