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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:
- How to prove the divisibility rule for $3\\, $ [casting out threes]
The divisibility rule for 3 is well-known: if you add up the digits of and the sum is divisible by 3, then n is divisible by three This is quite helpful for determining if really large numbers are multiples of three, because we can recursively apply this rule: 1212582439 → 37 → 10 → 1 3 ∤ 1212582439
- Given the numerical succession 5, 55, 555, 5555, 55555. . . Are there . . .
I get the solution (555555555555555555) by using prime factorization But I was wondering if there is a solution using modular arithmetic
- 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?
- Why have we chosen our number system to be decimal (base 10)?
My personal opinion is that duodecimal might have been a better number system than decimal, but sadly we don't have 12 "digits" on our hands
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