Magics of 4
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Hi Just found some wonderful properties of number 4. 1. 4 is the only perfect square whose reciprocal is also a perfect square. 2. Any perfect square when devided by 4 gives a reminder of either 1 or 0. Is this something already known?
The Best Religion is Science. Once you understand it, you will know God.
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Hi Just found some wonderful properties of number 4. 1. 4 is the only perfect square whose reciprocal is also a perfect square. 2. Any perfect square when devided by 4 gives a reminder of either 1 or 0. Is this something already known?
The Best Religion is Science. Once you understand it, you will know God.
Zainu wrote:
Is this something already known?
probably for a few hundred years.
Maximilien Lincourt Your Head A Splode - Strong Bad
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Hi Just found some wonderful properties of number 4. 1. 4 is the only perfect square whose reciprocal is also a perfect square. 2. Any perfect square when devided by 4 gives a reminder of either 1 or 0. Is this something already known?
The Best Religion is Science. Once you understand it, you will know God.
Zainu wrote:
Is this something already known?
Technically, yes, I'm fairly sure that it is known by at least one person. I'm sure others will claim knowledge of it, too. Whether they do or not, you'll never know for sure.
"A good athlete is the result of a good and worthy opponent." - David Crow
"To have a respect for ourselves guides our morals; to have deference for others governs our manners." - Laurence Sterne
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Hi Just found some wonderful properties of number 4. 1. 4 is the only perfect square whose reciprocal is also a perfect square. 2. Any perfect square when devided by 4 gives a reminder of either 1 or 0. Is this something already known?
The Best Religion is Science. Once you understand it, you will know God.
Zainu wrote:
4 is the only perfect square whose reciprocal is also a perfect square.
hence 1/4 is a perfect square while, for instance, 1/9 not? :)
If the Lord God Almighty had consulted me before embarking upon the Creation, I would have recommended something simpler. -- Alfonso the Wise, 13th Century King of Castile.
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Hi Just found some wonderful properties of number 4. 1. 4 is the only perfect square whose reciprocal is also a perfect square. 2. Any perfect square when devided by 4 gives a reminder of either 1 or 0. Is this something already known?
The Best Religion is Science. Once you understand it, you will know God.
Sounds like you are just discovering the magic of Number Theory, you can find lots of interesting resources on the web. I'm not sure what you are implying with (1), but (2) is very well known. 0 and 1 are called the quadratic residues mod 4. Some other examples, the same thing is true mod 3, but in mod 8 the residues are 0,1,4.
Peter "Until the invention of the computer, the machine gun was the device that enabled humans to make the most mistakes in the smallest amount of time."
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Sounds like you are just discovering the magic of Number Theory, you can find lots of interesting resources on the web. I'm not sure what you are implying with (1), but (2) is very well known. 0 and 1 are called the quadratic residues mod 4. Some other examples, the same thing is true mod 3, but in mod 8 the residues are 0,1,4.
Peter "Until the invention of the computer, the machine gun was the device that enabled humans to make the most mistakes in the smallest amount of time."
Hi all Yes, you can find a whole lot here http://mathworld.wolfram.com/QuadraticResidue.html Regards
The Best Religion is Science. Once you understand it, you will know God.
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Hi all Yes, you can find a whole lot here http://mathworld.wolfram.com/QuadraticResidue.html Regards
The Best Religion is Science. Once you understand it, you will know God.
Mathworld is a great website, alot of good stuff there :)
"Real programmers just throw a bunch of 1s and 0s at the computer to see what sticks" - Pete O'Hanlon