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    johnpaulguzman
    @johnpaulguzman
    Thanks for the clarification @holtzermann17 .
    Christian N. Hofmann
    @ch180
    hi
    i need a proof of catalan's identity
    Christian N. Hofmann
    @ch180
    found it by myself. bye
    Joe Corneli
    @holtzermann17
    @ch180 - first link by googling "planetmath catalan's identity". Good luck!
    Joe Corneli
    @holtzermann17
    Looks like Native MathML plugin is working now \square.
    LudicSavant
    @LudicSavant
    Hello
    50789
    @50789
    how to do request?
    ajb97
    @ajb97

    Hi there,
    I am looking for a faster algorithm for counting the number of data points that are close to a particular point in k-dimensional hyperspace? The current method of calculating all the distances to data points is too slow for my application to handle.

    (If this should be posted elsewhere then please let me know)
    Thanks in advance

    Ben
    @bhpayne
    @holtzermann17 Is the data for planetphysics available somewhere?
    Tarit Goswami
    @t-gos7
    Hi, I am new here, can I know what does it mean by well defined ?
    ouening
    @ouening
    transfer function
    eachirei
    @eachirei
    Hello
    Can anyone help me with an issue about Scott-continuity?
    eachirei
    @eachirei
    This is what I'm trying to solve; if you could give me any hints I'd be grateful
    Ben
    @bhpayne
    @eachirei -- probably not the best forum for questions like this; see math.stackoverflow. Also, posting homework questions and providing no context of what you've attempted is unlikely to trigger someone to explain the answer.
    genenaden
    @genenaden
    How to look up an article in PlanetMath? I am looking for the article "http://planetmath.org/APointAndACompactSetInAHausdorffSpaceHaveDisjointOpenNeighborhoods"
    The link doesn't work; it takes me to the home page for PlanetMath rather than the article
    AndyYoung27
    @AndyYoung27
    Hi there , nice to meet you all
    Joe Corneli
    @holtzermann17
    @genenaden indeed, that page seems to be missing for some reason. At some point we might be able to track it down.
    abhishekpdeshmukh
    @abhishekpdeshmukh
    how does this chat room work?
    khanrajaat
    @khanrajaat
    Anyone here?
    nunesgrf
    @nunesgrf
    Hi
    Can you guys help me with a proof?
    Nabeegh Ahmed
    @Nabeegh-Ahmed
    @nunesgrf yes??
    Favour Otiger
    @ScientificX
    Hey guys
    zugzwang-alt
    @zugzwang-alt
    hello, do you guys have links or popular resources for engineering math?
    hopefully open, and free :)
    Shinkenjoe
    @Shinkenjoe
    good day party people
    Shinkenjoe
    @Shinkenjoe
    I'm proofing my way through tao mostly sloppily and im considerung posting my so-called proofs here
    id this hinders chat from pulsating tell me and ill stop,, wont be much anyways
    *if
    Shinkenjoe
    @Shinkenjoe
    (e) Let X and Y be finite sets. Then Cartesian product X ×Y is finite and #(X × Y) = #(X) × #(Y).
    i'll try with induction over #Y
    For #Y = 0 the cartesian product is the empty set and the proposition is trivially true.
    So We know #(X1×Y1) = #X1 ⋅ #Y1
    We try to prove #(X2×Y2) = #X2 ⋅ #Y2 for #Y2 = #Y1++
    Let's choose an arbitrary element a2 from Y2 then #(Y2 \ {a2}) = #Y1
    X2×Y2 = X2×(Y2{a2}) ∪ X2×{a2}
    as both sets are disjoint #(X2×Y2) = #(X2×(Y2{a2})) + #(X2 × {a2})
    and #(X2×(Y2{a2})) = #(X1×Y1{a2})
    j: X2 → X2 ×{a2} = j(x) = (x, a2) for x in X2 is a bijection
    so #(X2×{a2}) = #X2
    and #(X2×Y2) = #(X2×(Y2{a2})) + #(X2×{a2}) = #(X1×Y1) + #X1 =
    = #X1⋅#Y1 + #X1 = #X1⋅#Y1++ = #X2⋅#Y2
    Shinkenjoe
    @Shinkenjoe
    hmm
    i think illl rater spam my stuff in some forum
    equilibriumwell
    @equilibriumwell
    Im in calc 2 anyone think they can give me a hand?
    Victor Porton
    @vporton
    I discovered algebraic general topology and a generalization of limit for arbitrary functions: https://mathematics21.org - congratulate me
    Victor Porton
    @vporton
    will submit to PlanetMath
    vastcosmos
    @vastcosmos
    is the sum of two normally distributed random variable X and Y alwways norma
    is the sum of two normal variable always normal??
    Rana Zubair
    @zubair444
    hello
    can someone please explain to me what is inverse CDF function. It will be really appreciated, i could not get any clear understanding of it.
    Kedar Mhaswade
    @kedarmhaswade

    Hello! It's my first time here. Please be kind!
    First off, thank you for a monumental effort. It's almost like Bourbaki reincarnated for the masses!

    Is there a Makefile on the planetmath repo to create the true local copy of planetmath with cross-linking sections, indexed items etc.?

    ashwaniraoparmar
    @ashwaniraoparmar
    any metrizable space is second countable
    Tejas Shetty
    @TejasAvinashShetty

    I discovered algebraic general topology and a generalization of limit for arbitrary functions: https://mathematics21.org - congratulate me

    congratulations

    Zeyaad99
    @Zeyaad99
    Hello, could you please explain me channelized Hotelling observer?
    hetware
    @hetware
    How do I report an error? I believe there is an error in the entry https://planetmath.org/complementarysubspace I originally I have my argument typed up in MathJax, but don't know how to submit it.