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Because log(x) is the sum of the terms of the form log(1 + 2 −k) corresponding to those k for which the factor 1 + 2 −k was included in the product P, log(x) may be computed by simple addition, using a table of log(1 + 2 −k) for all k. Any base may be used for the logarithm table. [53]
Nader Shah Afshar[a] (Persian: نادر شاه افشار; 6 August 1698 [5] – 20 June 1747) was the founder of the Afsharid dynasty of Iran and one of the most powerful rulers in Iranian history, ruling as shah of Iran (Persia) from 1736 to 1747, when he was assassinated during a rebellion. He fought numerous campaigns throughout the Middle ...
ln (r) is the standard natural logarithm of the real number r. Arg (z) is the principal value of the arg function; its value is restricted to (−π, π]. It can be computed using Arg (x + iy) = atan2 (y, x). Log (z) is the principal value of the complex logarithm function and has imaginary part in the range (−π, π].
Google Forms is a survey administration software included as part of the free, web-based Google Docs Editors suite offered by Google. The service also includes Google Docs, Google Sheets, Google Slides, Google Drawings, Google Sites, and Google Keep. Google Forms is only available as a web application. The app allows users to create and edit ...
A map of the Afsharid Empire at its greatest extent, in 1741–1745. The campaigns of Nader Shah (Persian: لشکرکشیهای نادرشاه), or the Naderian Wars (Persian: جنگهای نادری), were a series of conflicts fought in the early to mid-eighteenth century throughout Central Eurasia primarily by the Iranian conqueror Nader Shah.
Comparison of Linear, Concave, and Convex Functions\nIn original (left) and log10 (right) scales. In science and engineering, a log–log graph or log–log plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Power functions – relationships of the form – appear as straight ...
One application of log structures is the ability to define logarithmic forms (also called differential forms with log poles) on any log scheme. From this, one can for instance define log-smoothness and log-étaleness, generalizing the notions of smooth morphisms and étale morphisms. This then allows the study of deformation theory.