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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
- 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:
- Mathematics Stack Exchange
Q A for people studying math at any level and professionals in related fields
- 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
- Vector cross product identity for $(a\\times b)\\cdot(c \\times d)$
It might be helpful if you first introduce a new symbol to refer to one of the vector cross-products as a whole E g , let's define (a × b) =: x Using the cyclic property of the scalar triple product, we equate the scalar quadruple product to the dot-product of one of the vectors with the vector triple product of the other three: (a × b) ⋅ (c × d) = x ⋅ (c × d) = d ⋅ (x × c) = d
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