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Math Lenses

Friday, March 5, 2010. Pounds, shillings, pence as a system of logarithms. The purpose of this posting is to describe a mixed system of logarithmic units. By the end of the posting, with just the use of a table of 19 (easily memorized) values, you will be able to find arbitrary powers and roots of arbitrary numbers, generally to within one percent accuracy. Qquadqquadqquad10 {1/ 240} approx 1.01`,. 10` is the base of the decimal number system we use,. An earlier posting defined the (well-known) logarithm...

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Math Lenses | mathlenses.blogspot.com Reviews

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Friday, March 5, 2010. Pounds, shillings, pence as a system of logarithms. The purpose of this posting is to describe a mixed system of logarithmic units. By the end of the posting, with just the use of a table of 19 (easily memorized) values, you will be able to find arbitrary powers and roots of arbitrary numbers, generally to within one percent accuracy. Qquadqquadqquad10 {1/ 240} approx 1.01`,. 10` is the base of the decimal number system we use,. An earlier posting defined the (well-known) logarithm...

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Math Lenses | mathlenses.blogspot.com Reviews

https://mathlenses.blogspot.com

Friday, March 5, 2010. Pounds, shillings, pence as a system of logarithms. The purpose of this posting is to describe a mixed system of logarithmic units. By the end of the posting, with just the use of a table of 19 (easily memorized) values, you will be able to find arbitrary powers and roots of arbitrary numbers, generally to within one percent accuracy. Qquadqquadqquad10 {1/ 240} approx 1.01`,. 10` is the base of the decimal number system we use,. An earlier posting defined the (well-known) logarithm...

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mathlenses.blogspot.com

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Math Lenses: 01/20/10

http://mathlenses.blogspot.com/2010_01_20_archive.html

Wednesday, January 20, 2010. Numbers v. Units. In a previous post, I argued that numbers and units are born together. As we deal with quantities of increasing sophistication, we often have a choice between using more sophisticated units or more sophisticated numbers. Doesn't make sense yet? In subsequent posts, I hope to spill all the details. Links to this post. What is the proper place of units? In the numbers convention,. Amath qquad qquad qquad x= endamath the length of the rod in feet. Common among ...

2

Math Lenses: 02/19/10

http://mathlenses.blogspot.com/2010_02_19_archive.html

Friday, February 19, 2010. Proportion problems and the Rule of Three. Here is a problem from an old textbook :. If 750 men require 22,500 rations of bread for a month; how many rations will a garrison of 1200 men require? Charles Hutton, A course of mathematics for the use of academies as well as private tuition,. 4th American ed., vol. 1, p. 46, New York, 1825.). Such problems were set up as proportions, i.e. 750 : 22,500 : 1200 :? Frac{"22,500 " times " 1,200"}{750} = 36,000.`. Qquad qquad qquad frac{7...

3

Math Lenses: 01/25/10

http://mathlenses.blogspot.com/2010_01_25_archive.html

Monday, January 25, 2010. Using wiggle to calculate values of a polynomial. Today's calculator-ridden generation, given. Qquad qquad qquad p(x) = 3 x 3 4 x 2 2 x 5`. And asked to calculate `p(2)`, run off and calculate. Qquad qquad qquad p(2) = 3 (2) 3 4 (2) 2 2 (2) 5.`. The calculation in that form requires two powers, three multiplications, and three additions. It is usually more efficient to calculate the equivalent wiggle expression. Qquad qquad qquad p(2) = 3 {2}4 {2}2 {2}5,`. Qquad qquad qquad q(-1...

4

Math Lenses: 02/05/10

http://mathlenses.blogspot.com/2010_02_05_archive.html

Friday, February 5, 2010. Some more statistics for littlest, bearing a story :. The first five values were given to me in pounds and ounces. The next five were given in kilograms. I've given the weights in both units in the table. Let's plot :. Width=300; height=200;. Xmin=(-0.1); xmax=15.1;. Ymin=(-1); ymax=150; yscl=16;. Marker = "dot";. Stroke = "none";. A[4]=[10,135.5];. B[0]=[10,136.9];. B[1]=[11,140.4];. B[2]=[12,137.6];. B[3]=[13,144.6];. B[4]=[14,143.2];. Links to this post.

5

Math Lenses: A continuous stripy multiplication table

http://mathlenses.blogspot.com/2010/03/continuous-stripy-multiplication-table.html

Wednesday, March 3, 2010. A continuous stripy multiplication table. Sometimes, numbers and other quantities are used to count segments : "chapter one, chapter two, chapter three"; "first mile, second mile, third mile"; "first year, second year, third year". Sometimes, they are used to mark waypoints: "start (milestone 0), milestone 1, milestone 2, milestone 3"; "0 years old, first birthday, second birthday, third birthday". Width=400; height=400;. Xmin=(9.9); xmax=11.1;. Ymin=(-11.1); ymax=-9.9;. We can ...

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Math Lenses

Friday, March 5, 2010. Pounds, shillings, pence as a system of logarithms. The purpose of this posting is to describe a mixed system of logarithmic units. By the end of the posting, with just the use of a table of 19 (easily memorized) values, you will be able to find arbitrary powers and roots of arbitrary numbers, generally to within one percent accuracy. Qquadqquadqquad10 {1/ 240} approx 1.01`,. 10` is the base of the decimal number system we use,. An earlier posting defined the (well-known) logarithm...

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