-- Edited by dorian on Wednesday 16th of October 2013 10:52:34 AM
GaryKelly said
05:08 PM Oct 16, 2013
A mate in North Carolina read a piece about mathematics on my blog and responded thus:
That bull about math was disconcerting. I suddenly found myself trying to remember the quadratic equation--for determining a solution for two unknowns. Unfortunately, the thing produces two answers, one right but not always and one wrong. The wrong one is usually obvious to any dunce. And, my friends, so much for math as perfect certainty.
I think it goes something like this:
a square plus b square plus or minus the square of 2 ab over c = ? Look it up or ask a GN for any correction needed. It has been 65 years since I flunked that test.
Do we have any Einsteins here on the forum who can help Art remember the formula?
If no Einsteins - do we have any Epsteins? Beersteins? Epsteins, being Jewish, would be good with money, and beersteins - well they help with just about anything don't they?????
billeeeeeee said
05:41 PM Oct 16, 2013
Do we have any Einsteins here on the forum who can help Art remember the formula? !!Yes,!! we do Gerty dancer, our very own dog whisperer, !!If by any chance Gerty is busy, I'm sure Dougweeee can map out the formula, and answer,,, the Question....... stay excited Gary,,,,,,,,hope to see you out in the play ground soon,,,,,,,,,,Billeeeeeee
My son, when back in primary school in the early 90's, was given a list of about 30 quadratic equations to do for homework over a weekend. Being the ingenuitive young bloke he was, and not seeing the sense in sitting there doing the whole lot manually, he wrote a programme in Amiga Basic to do the task for him. It took him a couple of hours anyway, and it proved that he knew the theory and was able to apply the theory in the programme. I suggested he include a copy of the programme to prove that he had written it, which he did. When he came home from school on the Monday afternoon I asked him how it went. His reply "Stupid bloody teacher said it was cheating" I think he got that one wright also.
My daughter, not to be outdone, was one of those strange kids that actually liked maths at school. She went on to uni after winning a $30,000 scholarship split over the 5 years and achived a dual degree in Chemical Engineering and Mathematics.
GaryKelly said
07:30 PM Oct 17, 2013
I don't understand all this complicated math stuff but there's a bloke I know in Florida who was a math teacher. Here's a paste of what he wrote me:
The quadratic equation formula NC Art refers to does not give wrong answers, but can give an answer involving imaginary numbers. When you use the formula to solve a quadratic equation, you will get either one real number, two real numbers, or two imaginary numbers, but the imaginary numbers are still valid solutions. What is an imaginary number? Part of the formula involves taking the square root of "b squared minus 4ac" and if "b squared minus 4ac" is a negative number, then the square root of it has to be a number which, when multiplied by itself, will give you a negative number. Since a positive number multiplied by itself gives you a positive number and a negative number multiplied by itself also gives you a positive number, and zero times itself is zero, there is no number that when multiplied by itself gives a negative number. So imaginary numbers are written as a positive number times "i" where i is kn own as the square root of negative 1. In this way, equations can be solved with imaginary numbers existing in certain steps, but in the end, are gone, so you get a real number but certain steps could not be accomplished without the use of imaginary numbers.
Josh
brian said
10:55 PM Oct 17, 2013
So...Which part don't you understand?
dorian said
12:20 AM Oct 18, 2013
Imaginary numbers are used in engineering. Politicians and accountants use them, too.
billeeeeeee said
01:45 AM Oct 18, 2013
The DunningKruger effect is a cognitive bias in which unskilled individuals suffer from illusory superiority, mistakenly rating their ability much higher than average. This bias is attributed to a metacognitive inability of the unskilled to recognize their mistakes.[1]
Actual competence may weaken self-confidence, as competent individuals may falsely assume that others have an equivalent understanding. David Dunning and Justin Kruger of Cornell University conclude, "the miscalibration of the incompetent stems from an error about the self, whereas the miscalibration of the highly competent stems from an error about others
The DunningKruger effect is a cognitive bias in which unskilled individuals suffer from illusory superiority, mistakenly rating their ability much higher than average. This bias is attributed to a metacognitive inability of the unskilled to recognize their mistakes.[1]
Actual competence may weaken self-confidence, as competent individuals may falsely assume that others have an equivalent understanding. David Dunning and Justin Kruger of Cornell University conclude, "the miscalibration of the incompetent stems from an error about the self, whereas the miscalibration of the highly competent stems from an error about others
The DunningKruger effect is a cognitive bias in which unskilled individuals suffer from illusory superiority, mistakenly rating their ability much higher than average. This bias is attributed to a metacognitive inability of the unskilled to recognize their mistakes.[1]
Actual competence may weaken self-confidence, as competent individuals may falsely assume that others have an equivalent understanding. David Dunning and Justin Kruger of Cornell University conclude, "the miscalibration of the incompetent stems from an error about the self, whereas the miscalibration of the highly competent stems from an error about others
"Ein stein" means "one beer mug" or "one stone".
Personally, I see many more Neinsteins than Einsteins.
I see a lot of this, too:
http://en.wikipedia.org/wiki/Dunning%96Kruger_effect
-- Edited by dorian on Wednesday 16th of October 2013 10:52:34 AM
A mate in North Carolina read a piece about mathematics on my blog and responded thus:
That bull about math was disconcerting. I suddenly found myself trying to remember the quadratic equation--for determining a solution for two unknowns. Unfortunately, the thing produces two answers, one right but not always and one wrong. The wrong one is usually obvious to any dunce. And, my friends, so much for math as perfect certainty.
I think it goes something like this:
a square plus b square plus or minus the square of 2 ab over c = ? Look it up or ask a GN for any correction needed. It has been 65 years since I flunked that test.
Do we have any Einsteins here on the forum who can help Art remember the formula?
www.sosmath.com/algebra/quadraticeq/root/img2.gif
The solutions for x ...
www.platinumgmat.com/global/images/study_guide/quadratic_equations1.gif
A worked example ...
www.platinumgmat.com/global/images/study_guide/quadratic_equations2.gif
Do we have any Einsteins here on the forum who can help Art remember the formula? !!Yes,!! we do Gerty dancer, our very own dog whisperer, !!If by any chance Gerty is busy, I'm sure Dougweeee can map out the formula, and answer,,, the Question....... stay excited Gary,,,,,,,,hope to see you out in the play ground soon,,,,,,,,,,Billeeeeeee
My daughter, not to be outdone, was one of those strange kids that actually liked maths at school. She went on to uni after winning a $30,000 scholarship split over the 5 years and achived a dual degree in Chemical Engineering and Mathematics.
I don't understand all this complicated math stuff but there's a bloke I know in Florida who was a math teacher. Here's a paste of what he wrote me:
The quadratic equation formula NC Art refers to does not give wrong answers, but can give an answer involving imaginary numbers. When you use the formula to solve a quadratic equation, you will get either one real number, two real numbers, or two imaginary numbers, but the imaginary numbers are still valid solutions. What is an imaginary number? Part of the formula involves taking the square root of "b squared minus 4ac" and if "b squared minus 4ac" is a negative number, then the square root of it has to be a number which, when multiplied by itself, will give you a negative number. Since a positive number multiplied by itself gives you a positive number and a negative number multiplied by itself also gives you a positive number, and zero times itself is zero, there is no number that when multiplied by itself gives a negative number. So imaginary numbers are written as a positive number times "i" where i is kn own as the square root of negative 1. In this way, equations can be solved with imaginary numbers existing in certain steps, but in the end, are gone, so you get a real number but certain steps could not be accomplished without the use of imaginary numbers.
Josh
So...Which part don't you understand?
The DunningKruger effect is a cognitive bias in which unskilled individuals suffer from illusory superiority, mistakenly rating their ability much higher than average. This bias is attributed to a metacognitive inability of the unskilled to recognize their mistakes.[1]
Actual competence may weaken self-confidence, as competent individuals may falsely assume that others have an equivalent understanding. David Dunning and Justin Kruger of Cornell University conclude, "the miscalibration of the incompetent stems from an error about the self, whereas the miscalibration of the highly competent stems from an error about others
stay excited Nomads..............hehehehee Billeeeeeeeeeeee
The DunningKruger effect is a cognitive bias in which unskilled individuals suffer from illusory superiority, mistakenly rating their ability much higher than average. This bias is attributed to a metacognitive inability of the unskilled to recognize their mistakes.[1]
Actual competence may weaken self-confidence, as competent individuals may falsely assume that others have an equivalent understanding. David Dunning and Justin Kruger of Cornell University conclude, "the miscalibration of the incompetent stems from an error about the self, whereas the miscalibration of the highly competent stems from an error about others
stay excited Nomads..............hehehehee Billeeeeeeeeeeee
The DunningKruger effect is a cognitive bias in which unskilled individuals suffer from illusory superiority, mistakenly rating their ability much higher than average. This bias is attributed to a metacognitive inability of the unskilled to recognize their mistakes.[1]
Actual competence may weaken self-confidence, as competent individuals may falsely assume that others have an equivalent understanding. David Dunning and Justin Kruger of Cornell University conclude, "the miscalibration of the incompetent stems from an error about the self, whereas the miscalibration of the highly competent stems from an error about others
stay excited Nomads..............hehehehee Billeeeeeeeeeeee
Sorry Hic ups,,,,,,,,hehehe
The quadratic formula is (excuse the verbose format but the iPad cannot write equations)
X= -b plus or minus the square root of b squared minus 4ac all divided by 2a
Like this
(Quadratics are exceptional, though I prefer this starting formula, 'unbounded' of course)
You beauty I'm going to use imaginary numbers when I go to the bank - should somehow be able to prove I don't owe anything
All too much for me. Unfortunately we in Qld didn't do quadratic equations when I went to primary school.
Cheers,
John