The Etymologicum Magnum presents a medieval learned pseudo-etymology, explaining Aphrodite as derived from the compound habrodiaitos (" she who lives delicately " from habros + diaita ) explaining the alternation between b and ph as a " familiar " characteristic of Greek " obvious from the Macedonians ".

S ( a, b )=( nc + me / m + n, nd + mf / m + n )

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.

Binary operations are often written using infix notation such as a * b, a + b, a · b or ( by juxtaposition with no symbol ) ab rather than by functional notation of the form f ( a, b ).

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.

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.

For given nonzero integers a and b there is a nonzero integer of minimal absolute value among all those of the form ax + by with x and y integers ; one can assume d > 0 by changing the signs of both s and t if necessary.

Now the remainder of dividing either a or b by d is also of the form ax + by since it is obtained by subtracting a multiple of from a or b, and on the other hand it has to be strictly smaller in absolute value than d. This leaves 0 as only possibility for such a remainder, so d divides a and b exactly.

If c is another common divisor of a and b, then c also divides as + bt

Alphabets: < span style =" background-color: lightblue ; color: white ;"> Armenian alphabet | Armenian </ span >, < span style =" background-color :# 008080 ; color: white ;"> Cyrillic | < font color =" white "> Cyrillic </ font color > </ span >, < span style =" background-color: brown ; color: white ;"> Georgian alphabet | < font color =" white "> Georgian </ font color > </ span >, < span style =" background-color :# 0000FF ; color: white ;"> Greek alphabet | < font color =" white "> Greek </ font color > </ span >, < span style =" background-color :# AAAAAA ; color: black ;"> Latin script | Latin </ span >, < span style =" background-color :# CCFF99 ; color: black ;"> Latin ( and Arabic script | Arabic ) </ span >, < span style =" background-color: cyan ; color: black ;"> Latin and Cyrillic </ span > Abjads: Arabic script | < span style =" background-color: green ; color: white ;"> Arabic </ span >, < span style =" background-color :# 00ff7f ; color: black ;"> Hebrew alphabet | Hebrew </ span > Abugidas: < span style =" background-color :# FFC000 ; color: black ;"> Indic scripts | North Indic </ span >, < span style =" background-color: orange ; color: black ;"> Indic scripts | South Indic </ span >, < span style =" background-color :# 66FF00 ; color: white ;"> Ge ' ez script | Ge ' ez </ span >, < span style =" background-color: olive ; color: white ;"> < font color =" white "> Tāna </ font > </ span >, < span style =" background-color :# FFFF80 ; color: black ;"> Canadian Aboriginal syllabics | Canadian Syllabic and Latin </ span > Logographic + syllabic: < span style =" background-color: red ; color: white ;"> Pure logographic </ span >, < span style =" background-color :# DC143C ; color: white ;"> Mixed logographic and syllabaries </ span >, < span style =" background-color :# FF00FF ; color: black ;"> Featural-alphabetic syllabary + limited logographic </ span >, < span style =" background-color :# 800080 ; color: white ;"> Featural-alphabetic syllabary </ span >

( 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