logarithm of sum
1Logarithm — Log a*rithm (l[o^]g [.a]*r[i^][th] m), n. [Gr. lo gos word, account, proportion + ariqmo s number: cf. F. logarithme.] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550 1617), to abridge… …
2Logarithm — 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) …
3logarithm — [[t]lɒ̱gərɪðəm, AM lɔ͟ːg [/t]] logarithms N COUNT In mathematics, the logarithm of a number is a number that it can be represented by in order to make a difficult multiplication or division sum simpler …
4Arithmetical complement of a logarithm — Logarithm Log a*rithm (l[o^]g [.a]*r[i^][th] m), n. [Gr. lo gos word, account, proportion + ariqmo s number: cf. F. logarithme.] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550 1617), to abridge… …
5Hyperbolic logarithm — Logarithm Log a*rithm (l[o^]g [.a]*r[i^][th] m), n. [Gr. lo gos word, account, proportion + ariqmo s number: cf. F. logarithme.] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550 1617), to abridge… …
6Napierian logarithm — Logarithm Log a*rithm (l[o^]g [.a]*r[i^][th] m), n. [Gr. lo gos word, account, proportion + ariqmo s number: cf. F. logarithme.] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550 1617), to abridge… …
7Natural logarithm — Logarithm Log a*rithm (l[o^]g [.a]*r[i^][th] m), n. [Gr. lo gos word, account, proportion + ariqmo s number: cf. F. logarithme.] (Math.) One of a class of auxiliary numbers, devised by John Napier, of Merchiston, Scotland (1550 1617), to abridge… …
8Divergence 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… …
9Proof 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… …
10Natural 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 ( …
