Re: Moderately Difficult Math Problem (solve if you're smart enough).
Originally posted by dadudemon
9x - 7i > 3(3x - 7u)i = square root of -1
There is a surprise for the first person that solves the problem.
Secondly you can't compare two complex numbers. As such a comparison wouldn't have the basic properties required of the subspace such as symmetry and reflexivity, and would thus be nonsensical.
Originally posted by Astner
First and foremost, the imaginary unit i isn't the square root of -1. As the space of real numbers is a subspace to complex numbers, still making the square root of negative numbers nonexistent. Also, see proof.Secondly you can't compare two complex numbers. As such a comparison wouldn't have the basic properties required of the subspace such as symmetry and reflexivity, and would thus be nonsensical.
Originally posted by Astner
First time I've seen someone winning by being conventionally wrong.If i wasn't the imaginary unit, and you'd reformed the relation then this could've worked out.
Astner, I had no idea you failed College Algebra 201. 🙁
Originally posted by AstnerI agree, the additional statement about i made me first think it said "it wasn't the root of minus 1", then when I read it again I thought the problem was to find the value of u as you would any algebraic problem. To that, I only have one thing left to say.
First time I've seen someone winning by being conventionally wrong.If i wasn't the imaginary unit, and you'd reformed the relation then this could've worked out.
Originally posted by Barker
ef1
Originally posted by dadudemon
Astner, I had no idea you failed College Algebra 201. 🙁
That said, I've passed all math classes I've had, ranging from single variable analysis to partial differential equations - second course.
I've already proved why √-1 ≠ i. But since you insist on an outright mathematical brawl, it's on!
So let me explain why you can't compare two complex numbers, and I'm not going to write this in TeX.
Suppose that i > 0, then: i² > 0∙i, or -1 > 0. Meaning that: i ≯ 0.
Suppose that i < 0, then: i² > 0∙i -- multiplying both sides with a negative number shifts the comparison symbol --, or -1 > 0. Meaning that: i ≮ 0.
In other words complex numbers can only be equal to each other, not compared, as the imaginary unit i is an element that can't be compared.
Q.E.D. mother****er.
Originally posted by Astner
College algebra? We dealt with complex numbers in high school, and even then I was taught that what you ask is wrong.That said, I've passed all math classes I've had, ranging from single variable analysis to partial differential equations - second course.
I've already proved why √-1 ≠ i. But since you insist on an outright mathematical brawl, it's on!
So let me explain why you can't compare two complex numbers, and I'm not going to write this in TeX.
Suppose that i > 0, then: i² > 0∙i, or -1 > 0. Meaning that: i ≯ 0.
Suppose that i < 0, then: i² > 0∙i -- multiplying both sides with a negative number shifts the comparison symbol --, or -1 > 0. Meaning that: i ≮ 0.
In other words complex numbers can only be equal to each other, not compared, as the imaginary unit i is an element that can't be compared.
Q.E.D. mother****er.
Quod Erat Demonstrandum Matrem Fututor indeed