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  1. trigonometry - Deciphering some handwritten equations from …

    Mar 27, 2026 · As shown, on pg 259 of Ramanujan's 2nd notebook he states a few identities: I am easily able to decipher the second half, which just consists of some class equations for the theory of …

  2. elementary set theory - What exactly is an improper subset ...

    Jul 25, 2017 · There is a whole school of notation preferring $\subsetneq$ or even $\subsetneqq$ for proper subsets, since there is also a school of notation using $\subset$ for $\subseteq$. So clarity is …

  3. Why do equilateral triangles relate to cubics

    Apr 5, 2023 · I found this question talking about the relation between an equilateral triangle and cubics with three distinct real roots. Here's an image from the original post with an example: What this post s...

  4. Inconsistency in Royden's Definition of a measurable function

    Mar 26, 2026 · "The preimage of any open set is empty" -- This is wrong. What do you think open sets of $\mathbb {R} \cup \ {\pm \infty\}$ look like?

  5. How do you calculate the modulo of a high-raised number?

    I need some help with this problem: $$439^{233} \\mod 713$$ I can't calculate $439^{223}$ since it's a very big number, there must be a way to do this. Thanks.

  6. Is absolute continuity equivalent to existence of weak derivative?

    Mar 25, 2026 · Look into the Radon-Nikodym theorem. This also gives the name to the “derivative“ one gets from a map being absolutely continuous, namley the Radon-Nikodym derivative.

  7. Is the absolute Galois group of $k(t)$ a semi direct product?

    Mar 5, 2026 · I'm not convinced this is in the range of questions for math.SE. It may be better posed at mathoverflow.

  8. difference between implicit and explicit solutions?

    Oct 29, 2011 · What is difference between implicit and explicit solution of an initial value problem? Please explain with example both solutions (implicit and explicit)of same initial value problem? Or …

  9. Expected Value of a Dice Product Game - Mathematics Stack Exchange

    Jul 23, 2025 · Consider the following game. You get to roll a six-sided dice continuously until you roll the same number twice in a row. At this point the games ends, and you are paid the product of all your rolls.

  10. Are there different conventions for 'rounding to even'?

    Aug 27, 2024 · In my high school chemistry class, my teacher insists that the "round to even" rule means rounding to the nearest even number whenever the next digit is 5, regardless of any …