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The Natural Logarithmic Function

2023-11-08 16:43:29

Introduction of Logarithmic Function Calculator: In mathematics, the natural logarithm function is defined as a function consisting of three parts, a number, a radix, and a logarithm itself. A logarithmic calculator is a function of a logarithmic function. Use radix of e. Where e is a constant and the radix of the value of e is given by [e = 718281828]. The logarithm function calculator is represented as [y = log_b ^ (x)]. The basic value we take 'e' is approximately [e = 71].

For log-likelihood (according to wiki status), in many applications it is more convenient to use the natural logarithm of the likelihood function (log likelihood). Since logarithm is a monotonically increasing function, logarithmic likelihood can be used instead of likelihood because the logarithm of the function reaches its maximum at the same point as the function itself. When using negative log likelihood as the cost function to find the best weight vector, we try to minimize the same error as maximizing the log probability density of the expected output. (In the sense of speaking, possibility is almost opposite of probability)

I do not want to be postponed by it, is it possible to generate arbitrary Maclaurin series of natural log function? The answer is 'Yes'. Since the new function and all its derivatives are present at x = 0, it is only necessary to shift the function / curve left one unit to find the logarithmic extension. However, if you know the sequence of sin x, there is an easy way to export the cos x series. Since both sin x and cos x are infinite differentiable and their functions and differential values ​​exist at x = 0, we obtain the macrololine series of cos x by distinguishing both sides of the series expansion of sin x terms can do.