Then there is a diagonalizable operator D on V and a nilpotent operator N in V such that ( A ) Af, ( b ) Af.

The algorithm proceeds by successive subtractions in two loops: IF the test B ≥ A yields " yes " ( or true ) ( more accurately the number b in location B is greater than or equal to the number a in location A ) THEN the algorithm specifies B ← B − A ( meaning the number b − a replaces the old b ).

It is also used to enumerate a list in the same manner that " a, b, c, d " ( etc.

( It should be noted that in the account given of the same events, in rabbinic sources ( b. Talmud Shabbat 99a ; Exodus Rabbah 41 ) and in the Qur ' an, Aaron is not the idol-maker and upon Moses ' return begged his pardon as he had felt mortally threatened by the Israelites ( Quran 7: 142-152 ).

* The rational numbers, expressed as the quotient of two integers a and b, b not equal to zero, satisfy the above definition because is the root of.

In mathematics, a binary relation R on a set X is antisymmetric if, for all a and b in X

In the < tt > SubBytes </ tt > step, each byte in the state is replaced with its entry in a fixed 8-bit lookup table, S ; b < sub > ij </ sub > = S ( a < sub > ij </ sub >).

Analysis of the properties of a < sub > k </ sub > and b < sub > k </ sub > shows that one is the annihilation operator for particles and the other for antiparticles.

; Racially or religiously aggravated assault occasioning actual bodily harm: This offence is created by section 29 ( 1 )( b ) of the Crime and Disorder Act 1998.

; Assaulting an officer of the court: This offence is created by section 14 ( 1 )( b ) of the County Courts Act 1984.

An exception to this general tendency is his Latin treatise " De falconibus " ( later inserted in the larger work, De Animalibus, as book 23, chapter 40 ), in which he displays impressive actual knowledge of a ) the differences between the birds of prey and the other kinds of birds ; b ) the different kinds of falcons ; c ) the way of preparing them for the hunt ; and d ) the cures for sick and wounded falcons.

If a ) testimonies conflict one another, b ) there are a small number of witnesses, c ) the speaker has no integrity, d ) the speaker is overly hesitant or bold, or e ) the speaker is known to have motives for lying, then the epistemologist has reason to be skeptical of the speaker's claims.

He is among the main characters of the historical novel Agnes of France ( 1980 ) by Greek writer Kostas Kyriazis ( b. 1920 ).

Anomalous operation, also known as anomalous perturbation, is any paranormal phenomena in which it is said that an individual ( a ) uses Psi ( parapsychology ) to influence a physical event, or ( b ) to effect a physical change, in object.

In general, if y = f ( x ), then it can be transformed into y = af ( b ( x − k )) + h. In the new transformed function, a is the factor that vertically stretches the function if it is greater than 1 or vertically compresses the function if it is less than 1, and for negative a values, the function is reflected in the x-axis.

The b value compresses the graph of the function horizontally if greater than 1 and stretches the function horizontally if less than 1, and like a, reflects the function in the y-axis when it is negative.

( b ) illustrates the same process using spectroscopic notation,. The Auger effect () is a physical phenomenon in which the filling of an inner-shell vacancy of an atom is accompanied by the emission of an electron from the same atom.

The semi-major axis ( denoted by a in the figure ) and the semi-minor axis ( denoted by b in the figure ) are one half of the major and minor axes, respectively.

( 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.

A conjugate axis of length 2b, corresponding to the minor axis of an ellipse, is sometimes drawn on the non-transverse principal axis ; its endpoints ± b lie on the minor axis at the height of the asymptotes over / under the hyperbola's vertices.

* Johann Sebastian Bach's Prelude in b minor from the Well-Tempered Clavier BWV 866, arranged for string quartet with the first six bars augmented with a viola part by Igor Stravinsky, completed by Louis Andriessen ( 2006 )

* June 23 – Mashita Nagamori, minor Japanese daimyo ( b. 1545 )

Quantitatively, the ovality of either the core or cladding is expressed as, where a is the length of the major axis and b is the length of the minor axis.

From 2. 30pm on December 22, 1955 Burke made his first recordings for Apollo Records, six songs, in their studios at 457 West 45th Street, Manhattan, debuting with his own song " Christmas Presents " b / w " When I'm All Alone " ( Apollo 485 ), which debuted on DEcember 24, 1955 and became a minor hit.

* String Trio in b minor for Violin, Viola & Cello, WoO.

In the U. S. " Calling Occupants " b / w " Sub-Rosa Subway " was a minor double-sided hit and their only chart entry, peaking at No. 62 in 1977.

For example, the first measure of the Sinfonia in F minor BWV 795 includes a transposed version of the motif ( a '- g '- b '- a ') followed by the original in measure 17.

The classification is determined by the ratio of the major ( a ) to the minor ( b ) axes of the galaxy's isophotes:

** Three Flute Sonatas: Sonata in b minor BWV 1030, Sonata in A Major BWV 1032 ( 2nd and 3rd movements ), Sonata in E Minor BWV 1034-with George Malcolm-harpsichord, Ambrose Gauntlett-viola da gamba-Angel S36337

The inset is a visual representation of the profile of either at the specified minor ( b ) to major ( a ) axis ratios.

For example, in the case of United States v. Neil Scott Kramer, Kramer was served an enhanced sentence according to the U. S. Sentencing Guidelines Manual § 2G1. 3 ( b )( 3 ) for his use of a cell phone to “ persuade, induce, entice, coerce, or facilitate the travel of, the minor to engage in prohibited sexual conduct .”

Nevertheless that ranking a ) brushed aside at least 10 tournaments because McCauley has traced at least 29 pro tournaments played by the touring pros ( plus some minor tournaments ) and several short tours and b ) granted each tournament the same points and then was unfair to the big events where Laver was globally superior to Rosewall.

In Mass settings of the Classical and Romantic period ( for example the High Mass in b minor of Bach, the later Masses of Haydn, and the Missa Solemnis of Beethoven ) the Credo line is usually set for whole choir.

* Şafak Karaman ( b 1967, Trabzon-) minor celebrity and TV presenter, born to a Tirebolu family

The European Union plays a minor and mostly indirect policy role in sport, because ( a ) sport is normally considered to be outside the competences conferred by the member states to the European Union and ( b ) sport is in general organised internally, on a European continental level ( which is not the same as the level of the European Union ), or globally.

After a second session in December 1947, Aristocrat released " I Can't Be Satified " b / w " Feel Like Goin ' Home ," which became a minor hit.

The eccentric anomaly of point P is the angle E. The center of the ellipse is point C, and the focus is point F. The radial position vector r is taken from the focus F, not from the center of coordinates C. Auxiliary circle has radius a ; minor auxiliary circle has radius b.

The above equations can be established by drawing the auxiliary circle of radius a enclosing the elliptical path and the minor auxiliary circle of radius b inscribed within the path.

A horizontal line through P intersects this minor auxiliary circle of radius b, establishing another right triangle with altitude y and hypotenuse b. Labeling the adjacent angle E ′:

For example, the Bourbaki group adopted a watered-down and selective version of it as adequate to the requirements of their twin projects of ( a ) writing encyclopedic foundational works, and ( b ) supporting the axiomatic method as a research tool.

* Efforts to improve fairness by reducing first-move advantage include the rule of swap, generalizable as " swap -( x, y, z )" and characterizable as a partially compounded and partially iterated version of the pie rule (" one person slices ; the other chooses "): One player places on the board x stones of the first-moving color and a lesser number y stones of the second-moving color (" slicing " in the pie metaphor ); the other player is entitled to choose between a ) playing from the starting position, in which case the selecting player is also entitled to choose which color to play, and b ) placing z ( usually-y ) + 1 ) more stones on the board at locations of that player's choice (" reslicing " in the pie metaphor, with limitations created by the board's existing setup akin to limitations arising from the existing slices in the pie ), in which case the former player is entitled to choose which color side to play.

* The open interval ( a, b ) is homeomorphic to the real numbers R for any a < b. ( In this case, the bicontinuous forward mapping is given by and the inverse mapping is given by a scaled version of the function ).

Note that b < sub > i </ sub > b *< sub > i </ sub > is an outer product, therefore this algorithm is called the outer product version in ( Golub & Van Loan ).

Two independent variants of the APOL1 gene found in African haplotypes carrying signatures of natural selection have been shown to confer protection against the acute version of sleeping sickness caused by T. b. rhodesiense, while at the same time increasing risk of kidney disease when inherited from both parents.

The available evidence suggests that the Hypericum extracts tested in the included trials a ) are superior to placebo in patients with major depression ; b ) are similarly effective as standard antidepressants ; and c ) have fewer side-effects than standard antidepressants. There are two issues that complicate the interpretation of our findings: 1 ) While the influence of precision on study results in placebo-controlled trials is less pronounced in this updated version of our review compared to the previous version ( Linde 2005a ), results from more precise trials still show smaller effects over placebo than less precise trials. 2 ) Results from German-language countries are considerably more favourable for Hypericum than trials from other countries.

The shorter version was also used by most of the later commentators, such as Judah b. Barzillai and Nahmanides, and it was, therefore, published in the ordinary editions.

# A somehow limited version of object-oriented programming, where one or more of the following restrictions applies: ( a ) There is no implicit inheritance, ( b ) there is no polymorphism, ( c ) only a very reduced subset of the available values are objects ( typically the GUI components ).

There are many versions of IAM – a ) Corporate version ( organizational version ) b ) children version c ) Longer version.

The first development was a converted anti-tank grenade launcher version of the P. z. b 39 anti-tank rifle called the G. z. b 39.

Only two of these, published in the same year, are notable: ( a ) his version of the Psalms ( Psalmorum Davidis paraphrasis poetica et canticorum evangelicorum, Aberdeen, 1637 ), and ( b ) his anthology of contemporary Latin verse by Scottish poets ( Deliciae poetarum Scotorum huius aevi illustrium, Amsterdam, 1637 ).

The Canadian issue of Travelogue was released in a different sleeve, similar to the Holiday ' 80 front cover, and the tracklisting also differed: The Voice Of Buddha ( the re-recorded version of Being Boiled under a different name ), The Black Hit Of Space, Only After Dark, Life Kills, Dreams Of Leaving b / w Crow And A Baby, The Touchables, Gordon's Gin, Rock ' N ' Roll / Night Clubbing, WXJL Tonight.

Being Boiled, The Black Hit Of Space, Only After Dark, Life Kills, Dreams Of Leaving b / w Crow And A Baby, The Touchables, Rock ' N ' Roll, Marianne ( alternate version ), Gordon's Gin, WXJL Tonight.

The band had originally intended to release " Squares " ( b / w " Won "), which featured a sample from the Günter Kallmann Choir's 1970 version of Wallace Collection's " Daydream ", as the lead single.

This version of the song was taken to the top of the U. K. charts in January 1965 by Georgie Fame and the Blue Flames ( b / w " Preach and Teach ", Columbia DB 7428 ), breaking The Beatles ' long-term hold on the number one spot ( of five weeks with " I Feel Fine "), and a month later appeared on the US Billboard pop singles chart to peak at # 21.

The album's b ' side is a live version of " Broken Hyms ", which was not included on the Fenway Park live CD.