In mathematics, exponentiation is an operation involving two numbers: the base and the exponent or power. Exponentiation is written as bn, where b is the... 104 KB (13,628 words) - 04:38, 5 May 2024 |
Modular exponentiation is exponentiation performed over a modulus. It is useful in computer science, especially in the field of public-key cryptography... 21 KB (2,802 words) - 00:03, 24 March 2024 |
are commonly referred to as square-and-multiply algorithms or binary exponentiation. These can be of quite general use, for example in modular arithmetic... 21 KB (3,378 words) - 17:41, 15 April 2024 |
Tetration (redirect from Super-exponentiation) tetration (or hyper-4) is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, though Knuth's up arrow... 52 KB (6,001 words) - 01:48, 7 May 2024 |
In exponentiation, the base is the number b in an expression of the form bn. The number n is called the exponent and the expression is known formally as... 3 KB (284 words) - 02:57, 18 August 2023 |
Order of operations (redirect from Serial exponentiation) a property of exponentiation that (ab)c = abc, so it's unnecessary to use serial exponentiation for this. However, when exponentiation is represented... 46 KB (4,367 words) - 22:09, 1 May 2024 |
Ordinal arithmetic (redirect from Ordinal exponentiation) usual operations on ordinal numbers: addition, multiplication, and exponentiation. Each can be defined in essentially two different ways: either by constructing... 36 KB (4,909 words) - 17:53, 24 April 2024 |
Cardinal number (redirect from Cardinal exponentiation) if μ ≤ π. It will be unique (and equal to π) if and only if μ < π. Exponentiation is given by | X | | Y | = | X Y | , {\displaystyle |X|^{|Y|}=\left|X^{Y}\right|... 26 KB (3,808 words) - 01:08, 27 April 2024 |
Kilo- (section Exponentiation) in exponentiation, such as in square and cubic forms, any multiplier prefix is considered part of the unit, and thus included in the exponentiation. 1 km2... 4 KB (527 words) - 08:50, 24 March 2024 |
mathematics and computer science, optimal addition-chain exponentiation is a method of exponentiation by a positive integer power that requires a minimal number... 7 KB (748 words) - 23:16, 27 January 2023 |
** may refer to: **, to express food exponentiation in some programming languages **, a pointer to a pointer (or double pointer) in C syntax **, interpolation... 668 bytes (96 words) - 13:23, 3 April 2024 |
Matrix exponential (redirect from Matrix exponentiation) multiplication, hence also exponentiation, of diagonal matrices is equivalent to element-wise addition and multiplication, and hence exponentiation; in particular... 55 KB (10,407 words) - 09:28, 13 November 2023 |
Mega- (section Exponentiation) in exponentiation, such as in square and cubic forms, any multiples-prefix is considered part of the unit, and thus included in the exponentiation. 1 Mm2... 3 KB (425 words) - 02:44, 19 June 2023 |
The use of the caret for exponentiation can be traced back to ALGOL 60,[citation needed] which expressed the exponentiation operator as an upward-pointing... 11 KB (1,213 words) - 19:21, 9 April 2024 |
operations are non-associative; some examples include subtraction, exponentiation, and the vector cross product. In contrast to the theoretical properties... 26 KB (3,314 words) - 14:50, 3 May 2024 |
Wilkie, for example, proved that the theory of the real field with exponentiation, R {\displaystyle \mathbb {R} } exp, is decidable provided Schanuel's... 10 KB (1,173 words) - 08:45, 7 November 2023 |
multiplication (n = 2), and exponentiation (n = 3). After that, the sequence proceeds with further binary operations extending beyond exponentiation, using right-associativity... 43 KB (5,778 words) - 02:35, 3 April 2024 |
arithmetic operations (addition, subtraction, multiplication, and division), exponentiation to a real exponent (which includes extraction of the nth root), logarithms... 16 KB (1,881 words) - 06:00, 14 April 2024 |
Freshman's dream (redirect from Freshman exponentiation) freshman's dream is a valid identity. This result demonstrates that exponentiation by p produces an endomorphism, known as the Frobenius endomorphism of... 7 KB (886 words) - 16:10, 11 April 2024 |
ak ≡ bk (mod m) for any non-negative integer k (compatibility with exponentiation) p(a) ≡ p(b) (mod m), for any polynomial p(x) with integer coefficients... 31 KB (3,934 words) - 15:53, 4 May 2024 |
Arithmetic (section Exponentiation and logarithm) subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms. Arithmetic systems can... 166 KB (16,445 words) - 01:32, 2 May 2024 |
baseline TM, the letters written as superscripts, as in mathematical exponentiation ᵀᴹ, using symbols from the Phonetic Extensions block in Unicode Look... 5 KB (467 words) - 22:30, 11 September 2023 |
Double exponential function (redirect from Double exponentiation) A double exponential function is a constant raised to the power of an exponential function. The general formula is f ( x ) = a b x = a ( b x ) {\displaystyle... 9 KB (1,118 words) - 02:38, 22 February 2024 |
logarithm problem. The computation of ga mod p is known as modular exponentiation and can be done efficiently even for large numbers. Note that g need... 45 KB (4,969 words) - 19:55, 26 April 2024 |
In mathematics, a rational number is a number that can be expressed as the quotient or fraction p q {\displaystyle {\tfrac {p}{q}}} of two integers, a... 24 KB (3,494 words) - 12:24, 28 April 2024 |
names tetration, pentation, etc., for the extended operations beyond exponentiation. The sequence starts with a unary operation (the successor function... 28 KB (3,390 words) - 01:51, 9 May 2024 |
Belgian painters Dos Equis or XX, a brand of Mexican beer xx, to express exponentiation in the initial version of the FORTRAN programming language All pages... 3 KB (374 words) - 06:39, 16 April 2024 |
j {\displaystyle U^{2^{j}}} . This can be accomplished via modular exponentiation, which is the slowest part of the algorithm. The gate thus defined satisfies... 40 KB (5,708 words) - 11:21, 29 April 2024 |
Exponentiation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1x 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 x1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16... 34 KB (3,552 words) - 03:01, 8 May 2024 |
Regardless of the specific algorithm used, this operation is called modular exponentiation. For example, consider Z17×. To compute 34 in this group, compute 34... 17 KB (2,042 words) - 02:21, 12 February 2024 |