Thursday, March 10, 2011
Is your boss a bully?
Here are five tips for dealing with an over-aggressive manager.
Wednesday, March 9, 2011
Saturday, October 23, 2010
More Fun With Num3ers: Calculate your age in days
More Fun With Num3ers: Calculate your age in days: "You can calculate your age in days at ... http://www.derbyshireguide.co.uk/young.htm (1) Is your number a prime number or a composite number..."
Calculate your age in days
You can calculate your age in days at ...
(1) Is your number a prime number or a composite number?
Here's a list of the First 10,000 Prime Numbers
A prime number (or a prime) is a natural number that has exactly two distinct natural number divisors: 1 and itself.
A composite number is a positive integer which has a positive divisor other than one or itself.
Example:
9 can be divided evenly by 1, 3 and 9. So 9 is a composite number.
7 cannot be divided up evenly. we could have divided 7 into seven 1s, or one 7
(2) Is your number a square? cubic? or something else?
Friday, October 22, 2010
More Fun With Num3ers: Waring's problem for cubes
More Fun With Num3ers: Waring's problem for cubes: "Waring's problem for cubes : Every positive integer can be written as the sum of nine (or fewer) positive cubes. 6 = 1^3 + 1^3 + 1^3 + 1^3 ..."
Thursday, October 21, 2010
Waring's problem for cubes
Waring's problem for cubes : Every positive integer can be written as the sum of nine (or fewer) positive cubes.
6 = 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3
7 = 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3
8 = 2^3
9 = 2^3 + 1^3
10 = 2^3 + 1^3 + 1^3
11 = 2^3 + 1^3 + 1^3 + 1^3
12 = 2^3 + 1^3 + 1^3 + 1^3 + 1^3
13 = 2^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3
14 = 2^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3
15 = 2^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3
23 = 2^3 + 2^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3 + 1^3.
24 = 2^3 + 2^3 + 2^3
29 = 3^3 + 1^3 + 1^3
31 = 3^3 + 1^3 + 1^3 + 1^3 + 1^3
51 = 3^3 + 2^3 + 2^3 + 2^3
Based on this, is it reasonable to suppose that every integer is the sum of nine positive cubes (or fewer) ?
23 is written as the sum of nine positive cubes. Can you find other numbers which can be written as the sum of nine positive cubes?
More Fun With Num3ers: Integers that are both perfect squares and cubes
More Fun With Num3ers: Integers that are both perfect squares and cubes: "64 is the first number after 1 to be both a square and a cube: 64 = 8^2 = 4^3. Let's find few others. The On-Line Encyclopedia of Integer Se..."
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