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#mathschat — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #mathschat, aggregated by home.social.

  1. Every polynomial with real coefficients factors into linear and quadratic terms.

    How much machinery is needed to show this?

    If it crosses the X-axis then it has a linear term.

    If it doesn't cross the X-axis then it is of even degree, and the roots come in complex conjugate pairs.

    What the minimum needed to see this?

    #maths #math
    #algebra #ComplexNumbers
    #MathsChat #MathChat

  2. I've been thinking about this for ages, but never had the time to craft the words around it.

    People keep saying that "Maths should be fun" ... and I push back with "It should be engaging ... 'fun' is a different thing.

    So @rakhichawla has posted pretty much exactly this, but better than I ever could.

    I'm copying it here with permission.

    Please read this, then as it says at the end ... let's have a deeper conversation about this ...

    1/n

    (PS: I'd love this to get boosted to get outside my bubble ... you're all amazing, but there will be other opinions, and other thoughts that could be helpful or valuable)

    Hashtags: #MathEd #MathsEd #MathEdChat #MathsEdChat #MathChat #MathsChat #MTBoS #TMWYK

  3. Fermat conjectured that for \(n\) a non-negative integer, all numbers of the form \(2^{2^n}+1\) are prime.

    Was there ever a worse conjecture in maths than that?

    #Maths #Math
    #MathsEd #MathEd
    #MathsChat #MathChat
    #Fermat #Conjecture
    #Primes #FermatPrimes

  4. Some time ago ... (A month!) ... there was a thread on Twitter that I think should be shared here. I've been trying to extract and post it semi-automatically, but Twitter just makes it damn near impossible.

    So I'm copying it "by hand"

    Here's a chart of the full conversation:

    solipsys.co.uk/Chartter/185675

    Here's the head of the conversation:

    x.com/TweetingCynical/status/1


    #MTBoS #TMWYK
    #MathChat #MathsChat
    #MathEd #MathEdChat
    #MathsEd #MathsEdChat

    I will occasionally update the chart of *this* conversation, and it will be here:

    solipsys.co.uk/Chartodon/Teach

    Here is the content ...