PROCEEDINGS OF THE ELDER CHRONICLERS OF ARCHAIC FOLKLORE, EDITION ROOTORIT

OTE ARVONIMIKOMITEAN SALAISESTA LISÄPÖYTÄKIRJASTA

KUNNIANARVOISALLE LOGARITMILLE MARIA ASIKAINEN TÄTEN LUOVUTETAAN ARVONIMI MONOLOGI

JONKA HYÖDYNTÄMISEEN, VÄÄRIN- JA OIKEINKÄYTTÖÖN NIMETTÄVÄLLÄ ON TÄYSI VELVOLLISUUS

Ikuisen Rauhan ja Arvokkuuden Päivölän Kansanopiston Päivölän Sosialististen Matematiikkalinjan Vanhempi Matematiikkalinjojen Vuosikurssi Rootorit Aksiomaattinen Maailmanliitto

Rootorit Päivölä Math School Päivölän kansanopisto Seuraava Maailma Päivöläntie 52, 37770 Tarttila

Abstract. Kyseinen logaritmi on Päivölän kuulu puhelahjoistaan. Key words: logaritmi, eksponenttifunktio, arvonimi, sakke, päivölä, matematiikka, hi- naus, roottorit, voitto, ohi on, ei ole, enään

1 Loremipsum * Mathematicians generally understand both "ln(x)"and "log(x)"to mean loge(x) and write "log10(x)"when the base-10 logarithm of x is intended. Calculus textbooks will occasionally write "lg(x)"to represent "log10(x)". * Many engineers, biologists, astronomers, and some others write only "ln(x)"or "lo- ge(x)"when they mean the natural logarithm of x, and take "log(x)"to mean log10(x) or, sometimes in the context of computing, log2(x).

1 PROCEEDINGS OF THE ELDER CHRONICLERS OF ARCHAIC FOLKLORE, EDITION ROOTORIT

* On most calculators, the LOG button is log10(x) and LN is loge(x). * In most commonly used computer programming languages, including C, C++, Java, Fortran, Ruby, and BASIC, the "log"function returns the natural logarithm. The base-10 function, if it is available, is generally "log10." * Some people use Log(x) (capital L) to mean log10(x), and use log(x) with a lowerca- se l to mean loge(x). * The notation Log(x) is also used by mathematicians to denote the principal branch of the (natural) logarithm function. * A notation frequently used in some European countries is the notation blog(x) instead of logb(x).[4] This chaos, historically, originates from the fact that the natural logarithm has nice mathematical properties (such as its derivative being 1/x, and having a simple definition), while the base 10 logarithms, or decimal logarithms, were more convenient for speeding calculations (back when they were used for that purpose). Thus natural logarithms were only extensively used in fields like calculus while decimal logarithms were widely used elsewhere. As recently as 1984, Paul Halmos in his "automathography"I Want to Be a Mathema- tician heaped contempt on what he considered the childish "ln"notation, which he said no mathematician had ever used. The notation was in fact invented in 1893 by Irving Stringham, professor of mathematics at Berkeley. As of 2005, many mathematicians have adopted the "ln"notation, but most use "log". In computer science, the base 2 logarithm is sometimes written as lg(x), as suggested by Edward Reingold and popularized by Donald Knuth. However, lg(x) is also sometimes used for the common log, and lb(x) for the binary log.[5] In Russian literature, the notation lg(x) is also generally used for the base 10 logarithm.[6] In German, lg(x) also denotes the base 10 logarithm, while sometimes ld(x) or lb(x) is used for the base 2 logarithm.