taking the logarithm

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• Logarithm — The graph of the logarithm to base 2 crosses the x axis (horizontal axis) at 1 and passes through the points with coordinates (2, 1), (4, 2), and (8, 3) …   Wikipedia

• Natural logarithm of 2 — The decimal value of the natural logarithm of 2 (sequence A002162 in OEIS) is approximately as shown in the first line of the table below. The logarithm in other bases is obtained with the formula The common logarithm in particular is ( …   Wikipedia

• Divergence of the sum of the reciprocals of the primes — The sum of the reciprocals of all prime numbers diverges, that is: This was proved by Leonhard Euler in 1737, and strengthens Euclid s 3rd century BC result that there are infinitely many prime numbers. There is a variety of proofs of Euler s… …   Wikipedia

• Complex logarithm — A single branch of the complex logarithm. The hue of the color is used to show the arg (polar coordinate angle) of the complex logarithm. The saturation (intensity) of the color is used to show the modulus of the complex logarithm. The page with… …   Wikipedia

• Proof that the sum of the reciprocals of the primes diverges — In the third century BC, Euclid proved the existence of infinitely many prime numbers. In the 18th century, Leonhard Euler proved a stronger statement: the sum of the reciprocals of all prime numbers diverges. Here, we present a number of proofs… …   Wikipedia

• Characterizations of the exponential function — In mathematics, the exponential function can be characterized in many ways. The following characterizations (definitions) are most common. This article discusses why each characterization makes sense, and why the characterizations are independent …   Wikipedia

• Criticism of the Federal Reserve — Part of a series on Government Public finance …   Wikipedia

• Proofs involving the totient function — This page provides proofs for identities involving the totient function varphi(k) and the Möbius function mu(k).um of integers relatively prime to and less than or equal to n Claim::sum {1le kle n atop {gcd(k,n)=1 k = frac{1}{2} , varphi(n) ,… …   Wikipedia

• Discrete logarithm records — are the best results achieved to date in solving the discrete logarithm problem, which is the problem of finding solutions x to the equation gx = h given elements g and h of a finite cyclic group G. The difficulty of this problem… …   Wikipedia

• Wiener–Hopf method — The Wiener–Hopf method is a mathematical technique widely used in applied mathematics. It was initially developed by Norbert Wiener and Eberhard Hopf as a method to solve systems of integral equations, but has found wider use in solving two… …   Wikipedia

• Maximum spacing estimation — The maximum spacing method tries to find a distribution function such that the spacings, D(i), are all approximately of the same length. This is done by maximizing their geometric mean. In statistics, maximum spacing estimation (MSE or MSP), or… …   Wikipedia