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 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

( d ) A legal obedience, where a particular law requires the taking of an oath of allegiance by subject or alien alike.

Countries where ASL or a derivative of ASL is the national or a widespread language include Barbados, Belize, Benin, Bolivia, Botswana ( with BSL ), Burkina Faso, Burundi, Cameroon, Canada, the Central African Republic, Chad, Côte d ' Ivoire, the Democratic Republic of the Congo, the Dominican Republic, El Salvador, Gabon, Gambia, Ghana, Guinea, Guyana, Haiti, Honduras, Jamaica, Kenya ( minority use ), Liberia, Madagascar ( minority use ), Mali, Mauritania, Niger, Nigeria, Philippines ( L2 use ), Puerto Rico, Senegal, Sierra Leone, Trinidad and Tobago, Togo, and Zimbabwe ( with ZSL ).

An example from France was a flattering anagram for Cardinal Richelieu, comparing him to Hercules or at least one of his hands ( Hercules being a kingly symbol ), where " Armand de Richelieu " became " Ardue main d ' Hercule ".

Through Sven Markelius, Aalto became a member of the Congres Internationaux d ' Architecture Moderne ( CIAM ), attending the second congress in Frankfurt in 1929 and the fourth congress in Athens in 1933, where he established a close friendship with László Moholy-Nagy, Sigfried Giedion and Philip Morton Shand.

From about 1955 he started to work on sheaf theory and homological algebra, producing the influential " Tôhoku paper " ( Sur quelques points d ' algèbre homologique, published in 1957 ) where he introduced Abelian categories and applied their theory to show that sheaf cohomology can be defined as certain derived functors in this context.

where n < sub > d </ sub >, n < sub > F </ sub > and n < sub > C </ sub > are the refractive indices of the material at the wavelengths of the Fraunhofer d -, F-and C-spectral lines ( 587. 6 nm, 486. 1 nm and 656. 3 nm respectively ).

Most modern assassinations have been committed either during a public performance or during transport, both because of weaker security and security lapses, such as with U. S. President John F. Kennedy and former Pakistani Prime Minister Benazir Bhutto, or as part of coups d ' état where security is either overwhelmed or completely removed, such as with Patrice Lumumba and likely Salvador Allende.

A member of the England team who won the World Cup and Ballon d ' Or for European Footballer of the Year in 1966, he played almost all of his club football at Manchester United, where he became renowned for his attacking instincts and passing abilities from midfield and his ferocious long-range shot.

A bongo drinks from a swamp. Angola, Benin extinct ?, Burkina Faso, Cameroon, Central African Republic, Congo, The Democratic Republic of Congo, Côte d ' Ivoire, Equatorial Guinea, Ethiopia, Gabon, Ghana, Guinea, Guinea-Bissau, Kenya ( the only place where the eastern bongo are found in the wild ), Liberia, Mali, Niger, Sierra Leone, Sudan, Togo extinct?

Roughly two-thirds of the entire world's cocoa is produced in West Africa, with 43 % sourced from Côte d ' Ivoire, where child labor is a common practice to obtain the product.

Under § 1332 ( d ) ( 2 ) the federal district courts have original jurisdiction over any civil action where the amount in controversy exceeds $ 5, 000, 000 and

One reason for the popularity of the dissociation constant in biochemistry and pharmacology is that in the frequently encountered case where x = y = 1, K < sub > d </ sub > has a simple physical interpretation: when = K < sub > d </ sub >, = or equivalently /(+)= 1 / 2.

where the dissociation energies, E < sub > d </ sub >, of the A – B, A – A and B – B bonds are expressed in electronvolts, the factor ( eV )< sup >– ½ </ sup > being included to ensure a dimensionless result.

That same year she secretly married Eugene Wetherell ( d. 1889 ) and they returned to the United States, where she remained for the rest of her life.

Mimault became unnerved because of the decision, and after an incident where he shot at and wounded two students of the École Polytechnique ( charges for which were dropped ), he demanded a special act to prolong the duration of his patents, 100, 000 Francs, and election to the Légion d ' honneur.

Although the Estonian orthography is generally guided by phonemic principles, with each grapheme corresponding to one phoneme, there are some historical and morphological deviations from this: for example the initial letter ' h ' in words, preservation of the morpheme in declension of the word ( writing b, g, d in places where p, k, t is pronounced )

De Pomiane worked as a physician at the Institut Pasteur in Paris, where he gave Félix d ' Herelle a place to work on bacteriophages.

where d is the number of days since 1 January 2000 00: 00: 00 in the Terrestrial Time scale used in astronomical ephemerides ; for Universal Time ( UT ) add the following approximate correction to d: