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- What is infinity divided by infinity? - Mathematics Stack Exchange
I know that $\\infty \\infty$ is not generally defined However, if we have 2 equal infinities divided by each other, would it be 1? if we have an infinity divided by another half-as-big infinity, for
- Mathematics Stack Exchange
Q A for people studying math at any level and professionals in related fields
- Difference between ≈, ≃, and ≅ - Mathematics Stack Exchange
In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators B
- Methods for choosing $u$ and $dv$ when integrating by parts?
When doing integration by parts, how do you know which part should be u u ? For example, For the following:
- Is there any historical evidence for Marx being a Satanist?
I recently read a controversial book by Richard Wurmbrand called quot;Was Karl Marx a Satanist? quot;, and I found it very thought provoking There are many historical facts that indicate that Mar
- linear algebra - Does $\det (A + B) = \det (A) + \det (B)$ hold . . .
Can there be said anything about det (A + B)? If A B are symmetric (or maybe even of the form λI) - can then things be said?
- Justifying why 0 0 is indeterminate and 1 0 is undefined
0 0 = x 0 0 = x 0x = 0 0 x = 0 x x can be any value, therefore 0 0 0 0 can be any value, and is indeterminate 1 0 = x 1 0 = x 0x = 1 0 x = 1 There is no such x x that satisfies the above, therefore 1 0 1 0 is undefined Is this a reasonable or naive thought process? It seems too simple to be true
- When 0 is multiplied with infinity, what is the result?
What I would say is that you can multiply any non-zero number by infinity and get either infinity or negative infinity as long as it isn't used in any mathematical proof Because multiplying by infinity is the equivalent of dividing by 0 When you allow things like that in proofs you end up with nonsense like 1 = 0 Multiplying 0 by infinity is the equivalent of 0 0 which is undefined
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