November 15th, 2015, 03:53 AM  #1 
Member 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 
November 15th, 2015, 04:17 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond  It is the imaginary unit.

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. 
November 15th, 2015, 04:38 AM  #4 
Global Moderator 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. 
November 15th, 2015, 04:47 AM  #5 
Member Joined: May 2014 From: Rawalpindi, Punjab Posts: 69 Thanks: 5  
November 15th, 2015, 04:48 AM  #6  
Member Joined: May 2014 From: Rawalpindi, Punjab Posts: 69 Thanks: 5  Quote:
 
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.

November 15th, 2015, 04:52 AM  #8 
Global Moderator 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"). 
November 15th, 2015, 05:03 AM  #9 
Senior Member Joined: Apr 2014 From: Europa Posts: 584 Thanks: 177  
November 15th, 2015, 06:11 AM  #10  
Member Joined: May 2014 From: Rawalpindi, Punjab Posts: 69 Thanks: 5  Quote:
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?  

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