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Archive for April, 2010

Palindrome

A palindrome is a word, phrase, number or other sequence of units that can be viewed in the same way in both directions – from left to right or right to left. A “palindrome” is the property of reading the same in both directions. For example, look at the following words: “Papa”. You can see that the letters spell the same D_A_D from left to right or right to left. The word “palindrome” comes from the Greek word palindromos, which means “running back again.
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Measurement

How? How much? How many? These questions that you have something to quantify. The process of obtaining the size of a known quantity measurement. You can measure length, volume or weight, compared with a unit of measure, like one meter or liter or kilograms. The measure is a basis for comparison. Unity is a benchmark against which other things can be assessed. A measurement is performed by comparing a quantity of a standard unit.

The common characteristics such as length, area, volume, weight, and temperature units are measured in comparison with the standard units. In ancient times, people use the length of an object with the length of an arm length of a foot, etc. (more…)

Magic Squares!!!

Magic Squares are square grids with a special arrangement of numbers in them.  It is an arrangement of the numbers from 1 to n^2 (n-squared) in an nxn matrix, with each number occurring exactly once, and such that the sum of the entries of any row, any column, or any main diagonal is the same. It is not hard to show that this sum must be n (n^2+1)/2. These numbers are unique because each row, column and diagonal results to the same number by adding them. Magic squares received their name because there are so many relationships between the sums of the numbers filling the squares. So for the example below, 15 is the magic number. Could you work this out just from knowing that the square uses the numbers from 1 to 9? (more…)