Definition & Betydelse | Engelska ordet EXPONENTIAL

Definition av EXPONENTIAL

1. som har att göra med exponenter
2. (matematik) exponentiell; som kan uttryckas som en potens av e

Exempel på hur man kan använda EXPONENTIAL i en mening

• The arithmetic–geometric mean is used in fast algorithms for exponential, trigonometric functions, and other special functions, as well as some mathematical constants, in particular, computing.
• In physical cosmology, cosmic inflation, cosmological inflation, or just inflation, is a theory of exponential expansion of space in the very early universe.
• Here, "quickly" means an algorithm that solves the task and runs in polynomial time exists, meaning the task completion time is bounded above by a polynomial function on the size of the input to the algorithm (as opposed to, say, exponential time).
• Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.
• Its ubiquity in pure and applied mathematics led mathematician Walter Rudin to consider the exponential function to be "the most important function in mathematics".
• Typical examples of entire functions are polynomials and the exponential function, and any finite sums, products and compositions of these, such as the trigonometric functions sine and cosine and their hyperbolic counterparts sinh and cosh, as well as derivatives and integrals of entire functions such as the error function.
• Stirling's approximation provides an accurate approximation to the factorial of large numbers, showing that it grows more quickly than exponential growth.
• In fact, the gamma function corresponds to the Mellin transform of the negative exponential function:.
• By the continuity of the exponential function, we can substitute back into the above relation to obtain.
• The term is also used more generally to characterize any type of exponential (or, rarely, non-exponential) decay.
• Some FPUs can also perform various transcendental functions such as exponential or trigonometric calculations, but the accuracy can be low, so some systems prefer to compute these functions in software.
• All species in this genus are Gram-positive obligate aerobes that are rods during exponential growth and cocci in their stationary phase.
• However, if the surviving number exceeds unity on average, the bacterial population undergoes exponential growth.
• This is a large class of probability distributions that includes the exponential distribution as one of its members, but also includes many other distributions, like the normal, binomial, gamma, and Poisson distributions.
• EXPTIME is one intuitive class in an exponential hierarchy of complexity classes with increasingly more complex oracles or quantifier alternations.
• Unlike other quantum algorithms, which may provide exponential speedup over their classical counterparts, Grover's algorithm provides only a quadratic speedup.
• The Limits to Growth (LTG) is a 1972 report that discussed the possibility of exponential economic and population growth with finite supply of resources, studied by computer simulation.
• In this paper, Hill's first publication, he derived both the equilibrium form of the Langmuir equation, and also the exponential approach to equilibrium.
• The logistic function was introduced in a series of three papers by Pierre François Verhulst between 1838 and 1847, who devised it as a model of population growth by adjusting the exponential growth model, under the guidance of Adolphe Quetelet.
• Pace has experienced exponential growth, and has evolved from a small, rural community to a thriving bedroom community of Pensacola with growing residential and commercial options.

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