Every Boolean algebra ( A, ∧, ∨) gives rise to a ring ( A, +, ·) by defining a + b := ( a ∧ ¬ b ) ∨ ( b ∧ ¬ a ) = ( a ∨ b ) ∧ ¬( a ∧ b ) ( this operation is called symmetric difference in the case of sets and XOR in the case of logic ) and a · b := a ∧ b. The zero element of this ring coincides with the 0 of the Boolean algebra ; the multiplicative identity element of the ring is the 1 of the Boolean algebra.

An abstract syntax tree for the following code for the Euclidean algorithm: < dl > < dd > while b ≠ 0 < dl > < dd > if a > b < dl > < dd > a := a − b </ dd ></ dl ></ dd > < dd > else < dl > < dd > b := b − a </ dd ></ dl ></ dd ></ dl ></ dd > < dd > return a </ dd > </ dl >

2: c := a · b

var int x := 0, y := screenHeight / 2 ;

w. color := $ blue ;

INT i := 10 ; %% Variable with initial value.

REF INT ri := i ; %% Pointer initialized to point to i.

INT j := 11 ;

3 dist := infinity ; // Unknown distance function from

5 previous := undefined ; // Previous node in optimal path

8 dist := 0 ; // Distance from source to source

9 Q := the set of all nodes in Graph ; // All nodes in the graph are

: im f := ker coker f ;

< source lang =" java "> x := 5 ;

name := type value ;

u. ancestor := u ;

Find ( u ). ancestor := u ;

u. colour := black ;

reg := TRegistry. Create ;

reg. RootKey := HKey_Current_User ;

l := l. next ;

pb := pd ;

pb := pc ;

pb := pd ;

for i := 2: N-1 do A ( i ):=- 1 ) + A ( i ) + A ( i + 1 )/ 3 ; next i ;

( b ) Ligeantia acquisita, not by nature but by acquisition or denization, being called a denizen, or rather denizon, because they are subditus datus ;

*( b ) limited, as when the Sovereign grants letters of denization to an alien, and the alien's male heirs, or to an alien for the term of their life ;

:( b ) The Apostles ' Creed, as the Baptismal Symbol ; and the Nicene Creed, as the sufficient statement of the Christian faith.

( 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 ).

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 >).

; Attacks on UN Staff workers: Section 1 ( 2 )( a ) of the United Nations Personnel Act 1997 ( c. 13 ) makes provision for assault causing injury, and section 1 ( 2 )( b ) makes provision for assault occasioning actual bodily harm, on UN staff.

; 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.

* his successor in Naples, King Ferdinand I of Naples, ( b. 1423 ; reigned 1458 – 1494 ).

That said, he provides some reasons why we may have a basis for trust in the testimony of persons: because a ) human memory can be relatively tenacious ; and b ) because people are inclined to tell the truth, and ashamed of telling falsities.

Chinese languages treat these two phones differently ; for example in Mandarin, ( written b in Pinyin ) and ( written p ) contrast phonemically.

4 voll., pp. XVII-521, pp. 555, pp. 536, pp. 572 ; 2224 total pages ; 100 b / w photos ; ISBN 978-0-19-511307-5.

( b ) Sacred furniture, such as models or actual examples of ritual objects ; of these we have also numerous pictorial representations.

From him it has descended continuously, through fifteen individuals, the title being increased to an Earldom in 1784 ; and in 1876 William Nevill 5th Earl ( b. 1826 ), ( d. 1915 ) an indefatigable and powerful supporter of the Tory Party, was created 1st Marquess of Abergavenny.

; Closure: For all a, b in A, the result of the operation a • b is also in A.

; Associativity: For all a, b and c in A, the equation ( a • b ) • c = a • ( b • c ) holds.

; Inverse element: For each a in A, there exists an element b in A such that a • b