| In his spare time, between 1844 and 1847, he calculated the natural logarithms of the first 1005000 numbers to 7 decimal places. |
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| Vega wrote on artillery but he is best remembered for his tables of logarithms and trigonometric functions. |
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| Other examples are negative numbers, complex numbers, trigonometry, raising to powers, logarithms, and the beginnings of calculus. |
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| The tables of logarithms which he published included logarithms of trigonometric functions for use by astronomers. |
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| He invented logarithms independently of Napier using a totally different approach. |
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| We can use arithmetics with different bases, fractions, decimals, logarithms, powers, or simply words. |
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| Benjamin can also handle magic squares, natural logarithms, cube roots, and much more. |
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| He had shown when certain elliptic differentials could be integrated in logarithms but his methods was of little practical use. |
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| Brouncker's mathematical achievements includes work on continued fractions and calculating logarithms by infinite series. |
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| In Book 9 Saunderson presents the binomial theorem and the theory of logarithms. |
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| He worked with pencil and paper, as well as a slide rule and a table of logarithms. |
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| He therefore added a preface of his own on applications of logarithms to both plane trigonometry and to spherical trigonometry. |
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| He developed methods of computing volumes by double integration and worked on logarithms. |
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| Stirling wrote to De Moivre pointing out some errors that he had made in a table of logarithms of factorials in the book. |
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| All variables used in this study were transformed to natural logarithms before the correlation analyses were performed. |
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| Variables were transformed with natural logarithms or square roots to normalize residuals. |
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| They sketch a normalization algorithm, which is based on computing logarithms of transition matrices which they approximate by power series. |
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| The same cannot be said of logarithms or the reactivity of caesium. |
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| Although we now think of logarithms as the exponents to which one must raise the base to get the required number, this is a modern way of thinking. |
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| No belief in astrology is needed to carry out such an investigation, only the birth-dates, an astronomical almanac, and a table of logarithms for working out the horoscope. |
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| Taking logarithms to the base, we are looking for a solution. |
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| Choosing different numbers gives logarithms to different bases. |
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| The link between the harmonic series and logarithms is even more intimate. |
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| The existence of e is implicit in John Napier's 1614 work on logarithms, and natural logarithms are sometimes inexactly dubbed Napierian logarithms. |
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| Prior to any statistical analysis, variables with non-normal distributions were transformed to logarithms, and percentage values were arcsin transformed. |
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| All reading times were converted to words read per minute, then transformed to base 10 logarithms for the analyses because they were positively skewed. |
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| The first tabulates logarithms of the sine, cosine, tangent and cotangent functions at 1 intervals and shows how to solve triangles using logarithmic functions. |
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| Computing discrete logarithms is apparently difficult, while the inverse problem of discrete exponentiation is not. |
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| John Napier, inventor of logarithms, was born in Merchiston Tower and lived and died in the city. |
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| Bonaventura Cavalieri's works anticipated integral calculus and popularized logarithms in Italy. |
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| If natural logarithms are used to log variables, then the random walk model is known as a random walk with drift. |
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| By plotting the natural logarithms of the slopes of the trend lines from Fig. |
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| We start with direct proportions and continue onward, culminating with an examination of exponential functions and logarithms. |
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| Note that exponentials and natural logarithms are types of compounding and discounting formulas and are how financial option analysts compute these formulas. |
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| Then a calculation with logarithms or graphical tables requiring ten to fifteen minutes of work would convert the observed angle to a geocentric lunar distance. |
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| John Napier introduced logarithms as a powerful mathematical tool. |
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| In view of this incommensurableness of most numbers and their respective logarithms, only an approximate definition can be given of a logarithm in general. |
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