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Everything about Exponentiation
Arithmetic operation
In mathematics, exponentiation, denoted bn, is an operation involving two numbers: the base, b, and the exponent, n. When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, bn is the product of multiplying b by itself n times: Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: ExponentiationA 5-minute orientation
- Skim a recent paper: Inelastic exponentiation and classical gravitational scattering at one loopInfluential work since 2022
- Pick up a classic book: Hyperbolic functionsThe most-reprinted book on the subject
- Read the landmark paper: Coherent exclusive exponentiation for precision Monte Carlo calculationsCited 803 times
- Go sideways: TetrationA closely related topic
- Go sideways: Exponential functionA closely related topic
📖 Definitions
Noun The process of calculating a power by multiplying together a number of equal factors, where the exponent specifies the number of factors to multiply.
Noun A mathematical problem involving exponentiation.
🏆 Landmark papers (most cited)
Coherent exclusive exponentiation for precision Monte Carlo calculations
A Survey of Fast Exponentiation Methods
Exponentiation of eikonal cross sections in nonabelian gauge theories
Non-abelian eikonal exponentiation
Comment of QCD exponentiation at large x
Montgomery exponentiation needs no final subtractions
The Elementary Theory of Restricted Analytic Fields with Exponentiation
Extremal black hole scattering at $$ \mathcal{O} $$(G3): graviton dominance, eikonal exponentiation, and differential equations
🆕 Influential since 2022
Inelastic exponentiation and classical gravitational scattering at one loop
Exponentiation of the leading eikonal phase with spin
Addendum to: Inelastic exponentiation and classical gravitational scattering at one loop
Hardware-Efficient SoftMax Architecture With Bit-Wise Exponentiation and Reciprocal Calculation
An S-Box construction from exponentiation in finite fields and its application in RGB color image encryption
📚 Books worth reading
Hyperbolic functionsJames McMahon · 1906
A treatise on plane trigonometryErnest William Hobson · 1891
Green's Functions and Ordered ExponentialsH. M. Fried · 2002- 📕Tables of circular and hyperbolic sines and cosines for radian argumentsUnited States. National Bureau of Standards. Computation Laboratory. · 1939
Metod trigonometricheskikh summ v teorii chiselIvan Matveevich Vinogradov · 1954- 📕EXPALS-Fortran code for exponential approximation by least squaresC. D. Gardner · 1978
Tables of complex hyperbolic and circular functionsArthur E. Kennelly · 1914
Sur la fonction exponentielleCharles Hermite · 1874
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Tetration In mathematics, tetration (or hyper-4) is an operation based on iterated, or repeated, exponentiation. There is no universal notation for tetration, though…
- Exponential function In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value. It is denoted…
- Logarithm In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the…
- Imaginary unit The imaginary unit, usually denoted by i, is a mathematical constant that is a solution to the quadratic equation x2 = −1, which is not solved by any real…
- Multiplicative inverse In mathematics, a multiplicative inverse or reciprocal for a nonzero number x, denoted by 1x or x−1, is a number which when multiplied by x yields the…
- Function (mathematics) In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function…
- Complex logarithm In mathematics, a complex logarithm is a generalization of the natural logarithm to nonzero complex numbers. The term refers to one of the following, which…
- Discrete logarithm In mathematics, for given real numbers a and b, the logarithm logb(a) is a number x such that bx=a. The discrete logarithm is an analogous concept in group…