The line running from the upper left to lower right reads mt l b < sup > c </ sup > lt.

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.

Anaximenes () of Miletus ( b. 585 BCE, d. 528 BCE ) was an Archaic Greek Pre-Socratic philosopher active in the latter half of the 6th century BC .< ref name =" lindberg28 "> Lindberg, David C. “ The Greeks and the Cosmos .” < u > The Beginnings of Western Science </ u >.

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Here K denotes the field of real numbers or complex numbers, I is a closed and bounded interval b and p, q are real numbers with 1 < p, q < ∞ so that

* Base ( exponentiation ) or radix, the b in b < sup > n </ sup >

In an " extended model " which includes hot dark matter in the form of neutrinos, then if the " physical baryon density " Ω < sub > b </ sub > h < sup > 2 </ sup > is estimated at about 0. 023 ( this is different from the ' baryon density ' Ω < sub > b </ sub > expressed as a fraction of the total matter / energy density, which as noted above is about 0. 046 ), and the corresponding cold dark matter density Ω < sub > c </ sub > h < sup > 2 </ sup > is about 0. 11, the corresponding neutrino density Ω < sub > v </ sub > h < sup > 2 </ sup > is estimated to be less than 0. 0062.

The equilibrium is determined by the acid and base dissociation constants ( K < sub > a </ sub > and K < sub > b </ sub >) of the involved substances.

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Bhakhat Singh: b. 1792-d. 1837 </ font ></ a >

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.

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.

The two integers a and b are coprime if and only if the point with coordinates ( a, b ) in a Cartesian coordinate system is " visible " from the origin ( 0, 0 ), in the sense that there is no point with integer coordinates between the origin and ( a, b ).

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.

Changing x to x / b stretches the graph horizontally by a factor of b. ( think of the x as being dilated )

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.

The coefficient a in the term of x < sup > b </ sup > y < sup > c </ sup > is known as the binomial coefficient or ( the two have the same value ).

is a multiple of d. x and y are called Bézout coefficients for ( a, b ); they are not unique.

* Every pair of congruence relations for an unknown integer x, of the form x ≡ k ( mod a ) and x ≡ l ( mod b ), has a solution, as stated by the Chinese remainder theorem ; in fact the solutions are described by a single congruence relation modulo ab.

Ax = b gives a bound on how inaccurate the solution x will be after approximation.

In particular, one should think of the condition number as being ( very roughly ) the rate at which the solution, x, will change with respect to a change in b. Thus, if the condition number is large, even a small error in b may cause a large error in x.

On the other hand, if the condition number is small then the error in x will not be much bigger than the error in b.

The condition number is defined more precisely to be the maximum ratio of the relative error in x divided by the relative error in b.

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.

All eight manuscripts were copied within 175 years, ranging from 125 BCE ( 4QDan < sup > c </ sup >) to about 50 CE ( 4QDan < sup > b </ sup >).

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 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 )

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 ).

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

Exports: $ 1. 225 billion f. o. b. ( 2008 )

; 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.

* Assault with intent to resist arrest: under section 7 ( 1 )( b ); this offence was formerly created by s. 38 of the OAPA 1861.

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.

United States federal courts only act as interpreters of statutes and the constitution by elaborating and precisely defining the broad language ( connotation 1 ( b ) above ), but, unlike state courts, do not act as an independent source of common law ( connotation 1 ( a ) above ).

Notwithstanding, possession of DishNetwork or DirecTV equipment is not unlawful as provided by The Radiocommuncation Act Section 4 ( 1 )( b ), which states:

: a ↔ 1, b ↔ 2, c ↔ 3

In number theory, a branch of mathematics, two integers a and b are said to be coprime ( also spelled co-prime ) or relatively prime if the only positive integer that evenly divides both of them is 1.

* The integer b has a multiplicative inverse modulo a: there exists an integer y such that by ≡ 1 ( mod a ).