My Math Forum  

Go Back   My Math Forum > College Math Forum > Number Theory

Number Theory Number Theory Math Forum


Closed Thread
 
LinkBack Thread Tools Display Modes
November 15th, 2015, 03:53 AM   #1
Member
 
AbrahamA's Avatar
 
Joined: May 2014
From: Rawalpindi, Punjab

Posts: 69
Thanks: 5

Square root of -1

-1^0.5 = ?

if the answer is

-1^0.5 = i

then the question is

what is i

as far as I recall my number system, I see only numerals and no letters
AbrahamA is offline  
 
November 15th, 2015, 04:17 AM   #2
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,968
Thanks: 1152

Math Focus: Elementary mathematics and beyond
Quote:
Originally Posted by AbrahamA View Post
what is i ...
It is the imaginary unit.
greg1313 is offline  
November 15th, 2015, 04:17 AM   #3
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,691
Thanks: 2670

Math Focus: Mainly analysis and algebra
So in your number system there is no square root of -1.

Please don't post threads that are likely to confuse people who are genuinely interested in learning some mathematics.
v8archie is offline  
November 15th, 2015, 04:38 AM   #4
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,968
Thanks: 1152

Math Focus: Elementary mathematics and beyond
Where's the point of confusion?

Last edited by greg1313; November 15th, 2015 at 04:52 AM.
greg1313 is offline  
November 15th, 2015, 04:47 AM   #5
Member
 
AbrahamA's Avatar
 
Joined: May 2014
From: Rawalpindi, Punjab

Posts: 69
Thanks: 5

Quote:
Originally Posted by v8archie View Post
Please don't post threads that are likely to confuse people who are genuinely interested in learning some mathematics.
I too am interested in learning some mathematics

Please tell me the value of ln(0) that is the natural log of zero
AbrahamA is offline  
November 15th, 2015, 04:48 AM   #6
Member
 
AbrahamA's Avatar
 
Joined: May 2014
From: Rawalpindi, Punjab

Posts: 69
Thanks: 5

Quote:
Originally Posted by greg1313 View Post
It is the imaginary unit.
Thank you, for a second I thought it was my friend/mentor named Rush H Limbaugh III whose first named was scribbled on that wall in your Avatar
AbrahamA is offline  
November 15th, 2015, 04:49 AM   #7
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,691
Thanks: 2670

Math Focus: Mainly analysis and algebra
The logarithm is not defined at zero, as I suspect you know.
v8archie is offline  
November 15th, 2015, 04:52 AM   #8
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,968
Thanks: 1152

Math Focus: Elementary mathematics and beyond
Please post separate questions in separate threads.

log(0) is undefined.

Now please return to your original question (what is "i").
greg1313 is offline  
November 15th, 2015, 05:03 AM   #9
Senior Member
 
aurel5's Avatar
 
Joined: Apr 2014
From: Europa

Posts: 584
Thanks: 177

Quote:
Originally Posted by AbrahamA View Post

then the question is

what is i
It is simple convention,

no more than that ...

It is a convenient convention,

to develop a comprehensive theory,

but even just for now ...
aurel5 is offline  
November 15th, 2015, 06:11 AM   #10
Member
 
AbrahamA's Avatar
 
Joined: May 2014
From: Rawalpindi, Punjab

Posts: 69
Thanks: 5

Quote:
Originally Posted by greg1313 View Post
Please post separate questions in separate threads.

log(0) is undefined.

Now please return to your original question (what is "i").
I am a formulator.

My job is akin to creating moulds that takes raw material and turns it into finished products.

If I was given a mould for division that takes two operands and in theory the mould should produce a finished product regardless of the values of two operands.

Same holds true for Square root of a number, in my case the mould is the Sqrt(x) function. Thus in theory this mould called Sqrt should produce a finished product regardless of the value of its operand.

Further log(x) is another mould, it too should produce a finished product regardless of the value of its operand.

Unless me too dumb to be told that the moulds have a defect and they are certain values for which it is unable to product finished products.

In past I was given a mould that produced finished products as internal rate of return with the raw material being N cash flows. The pundits believed that such moulds too were defective as there was no such single mould that could churn out finished products given any number of cash flows higher than 5. Even with cash flow below five, they required separate moulds whereas my mould was unique it worked for any number of cashflows and produced a single finished product rather than a set of useless product out of which only one had any use.

Field of mathematics is not static in time, the theories presented by creators of Calculus may or may not hold true in future.

For example, tangent of 90 degrees may get defined yet at present it is left undefined

Same goes for ln(0) natural log of zero

I am not a mathematician, for that matter I only have taught myself financial mathematics in the last 9 years and put together 1000 finance formulas books where a single function integrates a large number of unique functions. In the current series I arrived at the limit of the single function that integrates an infinite number of unique functions.

Almost all textbooks on Financial Management at most contain 10 time value of money functions whereas my books start with 1,700 functions in the first book and the 6th book it gets to infinite functions.

So why should I bother learning from a business school such as Wharton, Yale, MIT or Stanford when I know much more being confined to rural Punjab in South Asia?
AbrahamA is offline  
Closed Thread

  My Math Forum > College Math Forum > Number Theory

Tags
root, square



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Square root Luklun Math 4 November 7th, 2015 04:41 AM
Need some help with (square) root rain Algebra 6 September 17th, 2012 05:38 PM
Square root of 36.4? = 5.83 RichardP Algebra 5 June 12th, 2012 02:28 PM
Square root guru123 Algebra 7 October 28th, 2011 01:07 PM
Square Root and Square Problem jared_4391 Algebra 3 August 8th, 2007 09:06 AM





Copyright © 2019 My Math Forum. All rights reserved.