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  1. What is the #probability of being in two different #houses at the time when the central #AC broke? In two different cities. Within a two month period (40 days from start of the 1st failure to the start of the second.)

    Seriously, I'd like to know.

    #centralairconditioning #airconditioning #broken #math #mathquestion

  2. Math question: Why is there only one way to assign a number to 1 + 2 + 3 + 4 + 5 + …? This sum is always said to either diverge (with the usual definition of equality) or to equal -1/12. Under normal rules it doesn't have a value, but if you ignore that, then – pretty much independent of what you do – you always get out -1/12. Why never any other value? In what way is this genuinely the correct value for this?

    #math #maths #mathQuestion

  3. Every year the many names for mathematical statements cause my students a little anxiety. I want to make an Euler diagram to show how they all overlap and intersect— so please mention any words I could add to this list:

    statement
    proposition
    theorem
    axiom
    postulate
    rule
    law
    definition
    formula
    corollary
    lemma
    conjecture
    hypothesis

    Can you think of any others? #math #mathematics #mathquestion #definition

  4. CW: math question about infinite dimensional vector spaces

    I love watching MATH videos on youtube

    Something that I saw mentioned was the concept that an infinite sequence could be represented as a vector in an infinite dimensional vector space.

    The concept didn't sit well with me. A sequence has an order for the elements. But the components of a vector don't have an order do they? Like e1 isn't "before" e2... am I missing something?

    #math #maths #linearalgebra #mathquestion

  5. For a set of N people divided into n-sized groups, what's the minimum number of rounds for everyone to have met everyone else (been in a group with), and what is the list of groups for this? (Ideally, as diverse as possible)

    Optimizing speed dating for 52 folks with 4-6 people groupings here :-D

    (I know it's an NP-hard problem, but surely for these low values a solution exists?)

    #math #MathQuestion #Question #Algorithm

  6. Math Question:

    What are the conditions for Newton's method to converge?
    Specifically: How fine a net of initial values would I need to cast to find all real zeros(in t) of

    `` cos(ct) - cos(d)•cos(t0-t)`` ?

    c, d and t0 are real numbers.

    #mathquestion #newtonsmethod

  7. Does anyone know where I can find some good references for how different cultures did math? Ideally something approachable, and the more unexpected and unusual the better.

    This was an interesting reference, and has some elements of what I'm looking for:
    ethw.org/Ancient_Computers

    #MathQuestion #HistoryOfMath #MathAndCulture

  8. #MathQuestion here
    x^{y} is just an exponent
    x \centerdot 10^{y} is scientific notation
    does
    x^{y^{z}} have a specific name?

    How would I convert
    x^{really fucking big number} to x^{y^{z}}?