Logs in the Real World How do you use logarithms in the real world? Like most things that we are taught in math‚ most people would not be able to answer this question. Though many people have no clue how to use a logarithm in the real world or have ever needed to use one‚ there are still many uses for logs that are actually quite common. Three common uses for logs in the real world are calculating compound interest‚ calculating population growth or decay‚ and carbon dating. Using logs is a key
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REAL life Applications. At Home Some people aren’t even out of bed before encountering math. Setting an alarm and hitting snooze‚ they may quickly need to calculate the new time they will arise. Or they might step on a bathroom scale and decide that they’ll skip those extra calories at lunch. People on medication need to understand different dosages‚ whether in grams or milliliters. Recipes call for ounces and cups and teaspoons --all measurements‚ all math. And decorators need to know that
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History of Logarithms Logarithms were invented independently by John Napier‚ a Scotsman‚ and by Joost Burgi‚ a Swiss. Napier’s logarithms were published in 1614; Burgi’s logarithms were published in 1620. The objective of both men was to simplify mathematical calculations. This approach originally arose out of a desire to simplify multiplication and division to the level of addition and subtraction. Of course‚ in this era of the cheap hand calculator‚ this is not necessary anymore but it still serves
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Henon attractor application in real life The Henon map is one of the many 2-Dimensional maps. There are at least two maps known as Henon map. One of which is the 2-D dissipative quadratic map‚ given by the following X and Y equations that produce a fractal made up of strands [3] : xn+1 = 1 - axn2 + byn yn+1 = xn The Henon map can also be written in terms of a single variable with two time delays‚ Since the second equation above can be written as yn = xn-1: xn+1 = 1 - axn2 + bxn-1
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Mining Changes for Real-Life Applications Bing Liu‚ Wynne Hsu‚ Heng-Siew Han and Yiyuan Xia School of Computing National University of Singapore 3 Science Drive 2 Singapore 117543 {liub‚ whsu‚ xiayy}@comp.nus.edu.sg Abstract. Much of the data mining research has been focused on devising techniques to build accurate models and to discover rules from databases. Relatively little attention has been paid to mining changes in databases collected over time. For businesses‚ knowing what is changing and
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HISTORY OF LOGARITHMS 1ST SOURCE: (sosmath.com) Logarithms were invented independently by John Napier‚ a Scotsman‚ and by Joost Burgi‚ a Swiss. The logarithms which they invented differed from each other and from the common and natural logarithms now in use. Napier’s logarithms were published in 1614; Burgi’s logarithms were published in 1620. The objective of both men was to simplify mathematical calculations. Napier’s approach was algebraic and Burgi’s approach was geometric. Neither
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and table lookups. However logarithms are more straightforward and require less work. It can be shown using complex numbers that this is basically the same technique. From Napier to Euler John Napier (1550–1617)‚ the inventor of logarithms. The method of logarithms was publicly propounded by John Napier in 1614‚ in a book titled Mirifici Logarithmorum Canonis Descriptio (Description of the Wonderful Rule of Logarithms). Joost Bürgi independently invented logarithms but published six years after
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Mrs. Cappiello Algebra 2/Trig‚ Period 6 1 April 2012 Exponents and Logarithms An exponent is the number representing the power a given number is raised to. Exponential functions are used to either express growth or decay. When a function is raised to a positive exponent‚ it will cause growth. However‚ when a function is raised to a negative exponent‚ it will cause decay. Logarithms work differently than exponents. Logarithms represent what power a base should be raised to in order to produce a
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The logarithm of a number is the exponent by which another fixed value‚ the base‚ has to be raised to produce that number. For example‚ the logarithm of 1000 to base 10 is 3‚ because 1000 is 10 to the power 3: 1000 = 10 × 10 × 10 = 103. More generally‚ if x = by‚ then y is the logarithm of x to base b‚ and is written y = logb(x)‚ so log10(1000) = 3. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators‚ scientists
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Real Life Application for Congruent Integers and modulus. The modulus m = 12 is often used and applied in everyday life‚ for example‚ the most used and common of all ---"clock arithmetic" analogy‚ in which the day is divided into two 12-hour periods. Take for example‚ if it is 5:00 now‚ what time will it be in 25 hours? Since 25 ≡ 1 mod 12‚ we simply add 1 to 5: 5 + 25 ≡ 5 + 1 ≡ 6 mod 12. Usual addition would suggest that the later time should be 5+25=30‚ however‚ this is not the answer because
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