Recent content by AndersHermansson
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High School Proving 0/0 ≠ 1: Does Math Really Work This Way?
Yes! It seems I have to think about this some more. Thank you =)- AndersHermansson
- Post #43
- Forum: General Math
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High School Proving 0/0 ≠ 1: Does Math Really Work This Way?
Ok, thanks for all the interresting responses. I will delve deeper into this!- AndersHermansson
- Post #42
- Forum: General Math
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High School Proving 0/0 ≠ 1: Does Math Really Work This Way?
Which is why i would call it indeterminate. Since a/b=c/d iff a*d=c*b, the expression 0/0=a isn't meaningless, hence I wouldn't call it undefined. I guess it blows down to what you want undefined to mean, exactly. I get your point about uniqueness. Only I wouldn't call it undefined...- AndersHermansson
- Post #35
- Forum: General Math
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High School Proving 0/0 ≠ 1: Does Math Really Work This Way?
But the statement is clearly true for all a. How can an undefined statement be true? No that doesn't add up my friend!- AndersHermansson
- Post #33
- Forum: General Math
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High School Proving 0/0 ≠ 1: Does Math Really Work This Way?
It is a common misperception that 0/0 is undefined. It is merely indeterminate. Consider that expression: \frac{0}{0}=a is equivalent to: 0=a\cdot 0 which is true for any number a (it is not undefined). Hence 0/0 is indeterminate.- AndersHermansson
- Post #31
- Forum: General Math
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High School Understanding Euler's Formula for Complex Numbers - Tips for Evaluating e^ix
Ok, thanks! So the only way of evaluating xiy is by using Euler's formula, which we know to be true? I can see the use of the formula more clearly now.- AndersHermansson
- Post #8
- Forum: Topology and Analysis
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High School Understanding Euler's Formula for Complex Numbers - Tips for Evaluating e^ix
Ok, yes i think I'm beginning to understand. How do one evaluate xi? For example, what's 32i?- AndersHermansson
- Post #5
- Forum: Topology and Analysis
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High School Understanding Euler's Formula for Complex Numbers - Tips for Evaluating e^ix
So re^{i\theta} is merely a convenience in writing?- AndersHermansson
- Post #3
- Forum: Topology and Analysis
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High School Understanding Euler's Formula for Complex Numbers - Tips for Evaluating e^ix
I just started studying complex numbers. It says complex numbers in polar form can be expressed as a power of e: e^ix = cosx + isinx I don't quite understand how this equation works. How do i evaluate e^ix? And how does taking e to the power of ix get me a complex number a + bi or even...- AndersHermansson
- Thread
- Formula
- Replies: 10
- Forum: Topology and Analysis
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High School Explain me what is a electromagnetic wave?
On most illustrations you see the electric wave and magnetic wave are "in sync". Aren't they really 90 degrees phase dislocated to each other?- AndersHermansson
- Post #11
- Forum: Electromagnetism
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Undergrad How can we define division without using addition?
Multiplication is defined as repeated addition. 3x5 = 5+5+5 How do we define 10/2?- AndersHermansson
- Thread
- Definition Division
- Replies: 8
- Forum: General Math
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High School How is division defined in mathematics?
Multiplication is defined as repeated addition. 3x5 = 5+5+5 How do we define 10/2?- AndersHermansson
- Thread
- Division
- Replies: 6
- Forum: Linear and Abstract Algebra
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Graduate Does Bose Einstein Condensate Defy the Pauli Exclusion Principle?
Ahh, of course. Thanks for refreshing my memory.- AndersHermansson
- Post #4
- Forum: Quantum Physics
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Graduate Does Bose Einstein Condensate Defy the Pauli Exclusion Principle?
No, because Bosons are not under it. Fermions are however, and they cannot form a BEC.- AndersHermansson
- Post #2
- Forum: Quantum Physics
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Uncovering the Power of Static Electricity: My Surprising TV Experiment
Lol? A Chroot wannabe :)- AndersHermansson
- Post #14
- Forum: Electromagnetism