any maths heads out there, ???
06-09-2006, 11:53 PM
#1
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any maths heads out there, ???
having an arugument about the square root of -1,
my arguement is this.....
Claims of its nonexistence are confused with it not being a real number. It's called an imaginary number, but not because it doesn't exist. It's called an imaginary number because it is not real (and the word "real" in math lingo simply means a number on the number line that everyone is familiar with. It doesn't imply that other numbers do not exist.)
To give you an advantage to what it seems like you about to do in math, keep in mind the following two things about the number i, and most complex arithemetic will be easy (complex meaning "of the form a + bi", not complex meaning "hard")
1) If you ever square root -1, replace that with an i.
Example: sqrt(-9) = sqrt(9) * sqrt(-1) = 3i
2) If you ever square an i, replace it with -1.
Example: (3i)(6i) = 18i^2 = 18(-1) = -18.
I know, I know, "I thought when you square something, it comes out positive?" Yeah, that's a rule... for REAL numbers. "i" is not real. It is imaginary. It plays by its own rules.
the MENSA guys wont have it that it is a number depicted by I....
my arguement is this.....
Claims of its nonexistence are confused with it not being a real number. It's called an imaginary number, but not because it doesn't exist. It's called an imaginary number because it is not real (and the word "real" in math lingo simply means a number on the number line that everyone is familiar with. It doesn't imply that other numbers do not exist.)
To give you an advantage to what it seems like you about to do in math, keep in mind the following two things about the number i, and most complex arithemetic will be easy (complex meaning "of the form a + bi", not complex meaning "hard")
1) If you ever square root -1, replace that with an i.
Example: sqrt(-9) = sqrt(9) * sqrt(-1) = 3i
2) If you ever square an i, replace it with -1.
Example: (3i)(6i) = 18i^2 = 18(-1) = -18.
I know, I know, "I thought when you square something, it comes out positive?" Yeah, that's a rule... for REAL numbers. "i" is not real. It is imaginary. It plays by its own rules.
the MENSA guys wont have it that it is a number depicted by I....
06-09-2006, 11:59 PM
#4
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Originally Posted by avid-fan
cheers maybe I could wank myself to sleep
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07-09-2006, 12:20 AM
#8
No negative number can possibly have a square root.
So -1, -20, -100 etc
NONE of them have a square root.
The reason is that if you have a square root it means that when squared it will equal the number its the square root of, and ANY number squared is ALWAYS a positive value.
So for example
-4 * -4 = 16
4 * 4 = 16
So wether the number you are squaring is positive or negative, the result is always positive.
So an imaginary number is your ONLY option if you are going to quote the root of a negative.
So -1, -20, -100 etc
NONE of them have a square root.
The reason is that if you have a square root it means that when squared it will equal the number its the square root of, and ANY number squared is ALWAYS a positive value.
So for example
-4 * -4 = 16
4 * 4 = 16
So wether the number you are squaring is positive or negative, the result is always positive.
So an imaginary number is your ONLY option if you are going to quote the root of a negative.
07-09-2006, 01:01 AM
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Originally Posted by avid-fan
At 15 now, stuck for 16
07-09-2006, 06:02 AM
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This is so the wrong place for this discussion
Being a scientist myself, we don't care if the number is real or not, complex numbers are just a way to make 2D calculations easier to spell out. Then when you want to go 3D, 4D, ... 3x3D etc... tensor calculus comes to play. And still nobody cares if the numbers are real or not. It's just an aggreement to make the syntax look clearer.
To easily understand the basic operations of complex and real numbers, have a look at the geometric interpretation:
http://en.wikipedia.org/wiki/Complex_number
Being a scientist myself, we don't care if the number is real or not, complex numbers are just a way to make 2D calculations easier to spell out. Then when you want to go 3D, 4D, ... 3x3D etc... tensor calculus comes to play. And still nobody cares if the numbers are real or not. It's just an aggreement to make the syntax look clearer.
To easily understand the basic operations of complex and real numbers, have a look at the geometric interpretation:
http://en.wikipedia.org/wiki/Complex_number
07-09-2006, 07:52 AM
#17
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Thread Starter
Originally Posted by JesseT
This is so the wrong place for this discussion
Being a scientist myself, we don't care if the number is real or not, complex numbers are just a way to make 2D calculations easier to spell out. Then when you want to go 3D, 4D, ... 3x3D etc... tensor calculus comes to play. And still nobody cares if the numbers are real or not. It's just an aggreement to make the syntax look clearer.
To easily understand the basic operations of complex and real numbers, have a look at the geometric interpretation:
http://en.wikipedia.org/wiki/Complex_number
Being a scientist myself, we don't care if the number is real or not, complex numbers are just a way to make 2D calculations easier to spell out. Then when you want to go 3D, 4D, ... 3x3D etc... tensor calculus comes to play. And still nobody cares if the numbers are real or not. It's just an aggreement to make the syntax look clearer.
To easily understand the basic operations of complex and real numbers, have a look at the geometric interpretation:
http://en.wikipedia.org/wiki/Complex_number
my argument lies in the fact it can be done....and those so called experts tell ing me it cant,....someone pls explain the correct terminology.
07-09-2006, 07:58 AM
#18
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Thread Starter
Originally Posted by chip-3door
No negative number can possibly have a square root.
So -1, -20, -100 etc
NONE of them have a square root.
The reason is that if you have a square root it means that when squared it will equal the number its the square root of, and ANY number squared is ALWAYS a positive value.
So for example
-4 * -4 = 16
4 * 4 = 16
So wether the number you are squaring is positive or negative, the result is always positive.
So an imaginary number is your ONLY option if you are going to quote the root of a negative.
So -1, -20, -100 etc
NONE of them have a square root.
The reason is that if you have a square root it means that when squared it will equal the number its the square root of, and ANY number squared is ALWAYS a positive value.
So for example
-4 * -4 = 16
4 * 4 = 16
So wether the number you are squaring is positive or negative, the result is always positive.
So an imaginary number is your ONLY option if you are going to quote the root of a negative.
07-09-2006, 08:34 AM
#20
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Originally Posted by MONSTER
Originally Posted by avid-fan
07-09-2006, 08:46 AM
#21
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Originally Posted by markyd3
Originally Posted by avid-fan
07-09-2006, 08:46 AM
#22
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Originally Posted by markyd3
Originally Posted by avid-fan
I am now stuck on 16
07-09-2006, 08:47 AM
#23
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Extreme maths allow you to do anything you want... Apparently in some schools of thought, -infinity and +infinity actually converge and become equal at some point.
You probably need a few drugs to make sense of it all though
You probably need a few drugs to make sense of it all though
07-09-2006, 08:51 AM
#24
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Originally Posted by frog
Extreme maths allow you to do anything you want... Apparently in some schools of thought, -infinity and +infinity actually converge and become equal at some point.
You probably need a few drugs to make sense of it all though
You probably need a few drugs to make sense of it all though
07-09-2006, 08:52 AM
#25
Originally Posted by JjCoDeX75
Originally Posted by markyd3
Originally Posted by avid-fan
I am now stuck on 16
lol well if that isnt a cryptic clue i dont know what is!!
07-09-2006, 08:56 AM
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Originally Posted by biglee
ITS A FUCKIN BLACK SCREEN>>>>>>>>FFS
LOOK harder???????????? how?????????????
LOOK harder???????????? how?????????????
JJ
07-09-2006, 09:19 AM
#29
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finished...lol...results 
EDITED ALL ANSWERS REMOVED>>>>>sorry fogot ppl are still doing it..
took 20 mins...not a bad puzzle.....ive had MENSA ones easier than that.lol
EDITED ALL ANSWERS REMOVED>>>>>sorry fogot ppl are still doing it..
took 20 mins...not a bad puzzle.....ive had MENSA ones easier than that.lol
07-09-2006, 09:19 AM
#30
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Originally Posted by JjCoDeX75
Originally Posted by MONSTER
Originally Posted by avid-fan
07-09-2006, 09:33 AM
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07-09-2006, 09:34 AM
#32
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Originally Posted by biglee
ITS A FUCKIN BLACK SCREEN>>>>>>>>FFS
LOOK harder???????????? how?????????????
LOOK harder???????????? how?????????????
How about trying to Mark Everything on the screen with the menu command?
Or you could view the source of the html file.
07-09-2006, 09:47 AM
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All done!!!
I thought the hardest was 16, they seemed to get easier again nearer the end!!
biglee - might be worth deleting the answers just in case people are tempted overly to cheat!!!!
JJ
I thought the hardest was 16, they seemed to get easier again nearer the end!!
biglee - might be worth deleting the answers just in case people are tempted overly to cheat!!!!
JJ
07-09-2006, 09:58 AM
#34
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Thread Starter
Originally Posted by Andreas
Originally Posted by biglee
ITS A FUCKIN BLACK SCREEN>>>>>>>>FFS
LOOK harder???????????? how?????????????
LOOK harder???????????? how?????????????
How about trying to Mark Everything on the screen with the menu command?
Or you could view the source of the html file.
07-09-2006, 10:01 AM
#35
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Thread Starter
Originally Posted by JjCoDeX75
All done!!!
I thought the hardest was 16, they seemed to get easier again nearer the end!!
biglee - might be worth deleting the answers just in case people are tempted overly to cheat!!!!
JJ
I thought the hardest was 16, they seemed to get easier again nearer the end!!
biglee - might be worth deleting the answers just in case people are tempted overly to cheat!!!!
JJ
