Define Logarithm function. Logarithm function synonyms, Logarithm function pronunciation, Logarithm function translation, English dictionary definition of Logarithm function. n. Mathematics The power to which a base, such as 10, must be raised to produce
Logarithm as inverse function of exponential function The logarithmic function, y= logb(x) is the inverse function of the exponential function, x=by So if we calculate the exponential function of the logarithm of x (x>0), f(f-1(x)) =blogb(x)=x ...
Fig. 8. Natural logarithm lnx as a function of x. We now consider the derivative of the natural logarithm. Let y=lnx; what then is dydx? We can obtain the result by observing that if y=lnx, then ey = x. Then, since an exponent is its own derivative, we have dxdy=ey. Inverting...
In the same way as the logarithm reverses exponentiation, the complex logarithm is the inverse function of the exponential function applied to complex numbers. The discrete logarithm is another variant; it has uses in public-key cryptography.2009...
Characterizations of the Logarithm as an Additive Arithmetic Function Adolf Hildebrand 1. Introduction An additive arithmetic function is a real-valued function / defined on the set IN of positive integers and satisfying finiti) = /(n) +/(m), (1) ...
minorant for a subharmonic functionholomorphic functionRiesz measurePoisson–Jensen formulalogarithmic potentialFor an arbitrary subharmonic function not identically equal to −∞ in a domain D of the complex plane C, we prove the existence of a nonzero holomorphic function in D the logarithm of ...
The iterated logarithm function We use the notation lg*n(read "log star ofn") to denote the iteratedlogarithm, which is defined as follows. Let lg(i)nbe as defined above, withf(n) = lgn. Because the logarithm of a nonpositive number is undefined, lg(i)nis defined only if lg(i-1)...
As the function values get closer to infinity, the smaller function values dramatically increase the function range. As a result, when the function range is transformed linearly to the evaluation scale, the smaller function values skew the range so that the shape of the logarithm curve may be ...
The Function L(x)In Section 7.1 Part 2, we defined the function L(x) as the signed area bounded by y = 1/x, the x-axis, and the y-axis. Refer to Figs. 1.2 and 1.3. The function A(x) is the area of the colored region. The function L(x) was defined as follows:We also...
Definition of logarithm in the Financial Dictionary - by Free online English dictionary and encyclopedia. What is logarithm? Meaning of logarithm as a finance term. What does logarithm mean in finance?