exponential

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exponential

1. Maths (of a function, curve, series, or equation) of, containing, or involving one or more numbers or quantities raised to an exponent, esp ex
2. Maths raised to the power of e, the base of natural logarithms.
3. Maths an exponential function, etc.

exponential

[‚ek·spə′nen·chəl]
(mathematics)
For a bounded linear operator A on a Banach space, the sum of a series which is formally the exponential series in A.

exponential

(mathematics)
A function which raises some given constant (the "base") to the power of its argument. I.e.

f x = b^x

If no base is specified, e, the base of natural logarthims, is assumed.

exponential

(complexity)
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Definition 2 implies that if a [C.sub.0]-quasisemigroup R(t, s) is uniformly exponentially stable, then the classical solution x(t) = R(0,t)[x.sub.0] of abstract non-autonomous Cauchy problems
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First we recall some definitions and facts about exponentially convex and logarithmically convex functions (see, e.g., [13,14] or [9]) which we need for our results.
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