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    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.
    xuhuimi
    @xuhuimi
    the evolution from monitoring to observability
    hi, is there any materials about the evolution between monitoring and observability?
    Szymon
    @Kinzoku99
    Hi can u help me to understand one thing about log-convex functions?
    onefl0w
    @onefl0w
    Hey guys, you just have to add display: block; to the css of your indexes and it will be readable, literally one line of css.
    johndanver
    @johndanver
    This is one of the most popular platform for learning and sharing the mathematics issues. Many experts are open to provide appropriate possible solutions! I have learn d a lot of things from this discussion and that's why I prefer online services- another resources I have found this Morena nua in online and I like their services related to random video chat with girls and beautiful women. Thanks for sharing this post with us
    peterjoseph1785
    @peterjoseph1785
    I thank the author for creating the post; it was really useful to me and I enjoyed it. I made a note about it on the ox essays review. I'd appreciate it if you could read it and accept it. Thank you for taking the time to express your issue.
    painsadyu
    @painsadyu
    Players can go on a nostalgia trip with Friday Night Funkin . The gameplay is similar to that of retro rhythm games or puzzle games, making it an incredibly easy-to-play game. However, it is still very challenging to play as the songs can vary in rhythm and speed. Have fun!
    JordanNicholas
    @JordanNicholas

    hi, just wanted to ask: is there a logical-ordered listing of the subjects in planetmath? The ordering modes that I've found in the site was order by subject index or alphabetically.

    i'm looking for a list that enumerates all the prerequisite concepts before introducing a new one like:
    01-mappings
    02, 03-surjective map & injective map
    04-bijective map
    05-set of natural numbers
    06-countable set
    and it works&

    Sachin Barthwal
    @sachinba:matrix.org
    [m]
    Hello
    What is the triple derivative of a function
    What it represents
    In terms of radius of curvature
    DinkyPerson
    @DinkyPerson
    hello
    quanghieucorp
    @quanghieucorp
    FNF Mods is one of my favorite games among many popular games today. The game is built on the latest platform today and the special thing is that you can also create your own mod. In this game you will have to overcome many opponents and difficult challenges to win the hearts of your girlfriend and her father. kbh games is one of the few sites today that lets you play it for free in your web browser. Are you ready for this game? Try it today!
    alicejenny123
    @alicejenny123
    Wordle online game is a hot and must-try game that has taken the world by storm. The game gives players 6 turns to guess the 5 letter mystery word.
    quanghieucorp
    @quanghieucorp
    Friday Night Funkin is the most popularly known today and is a very popular game. It can be said that this is one of those rhythm music games and it has very fast reaction time and very high difficulty. To control it, you need to have a very quick eye to win it. In this game, you need to beat your opponent to win and win the hearts of your girlfriend and her dad. Are you ready to play it? Get started today.
    Wkbj79
    @wkbj79:matrix.org
    [m]
    Hello there. I have had a very long hiatus from PlanetMath. This is mainly because I left college and was too busy with my job too keep up with PlanetMath anymore. Due to circumstances that I would prefer not to get into, I now have much more time, and I decided to check out PlametMath. To my consternation, I saw that there were many unfavorable changes. To the best of my knowledge, these include:
    Wkbj79
    @wkbj79:matrix.org
    [m]

    :point_up: Edit: Hello there. I have had a very long hiatus from PlanetMath. This is mainly because I left college and was too busy with my job too keep up with PlanetMath anymore. Due to circumstances that I would prefer not to get into, I now have much more time, and I decided to check out PlametMath. To my consternation, I saw that there were many unfavorable changes. These include:

    1. The list of entries is difficult to read.
    2. The method of forcing links has either changed or been eliminated. Many of my forced link commands come up as unlinked URL's in my entries.
    3. I do not know how to edit my entries, or if that is even possible enymore.
    4. I do not know how to access the LaTeX code that someone used to create an entry.

    Out of all of these, number 4 is my biggest concern, as there are some LaTeX techniques, primarily for compass and straightedge constructions as well as entries dealing with the Beltrami-Klein model of hyperbolic geometry, that I have forgotten. If anyone could tell me how I can access that LaTeX code, I would greatly appreciate it.

    Assuming that issues 2 and 3 get fixed, I would love to go through my entries and make them look more visually appealing. I do not plan on adding any new content, though, as long as issue 1 is present. I realize that the appearance of the PlanetMath site cannot cater to me; however, I simply cannot bring myself to add more clutter to a format that is already clunky and visually unappealing.

    Any input that anyone has, especially someone who has been active with PlanetMath and has witnessed the many changes that have occurred.

    Wkbj79
    @wkbj79:matrix.org
    [m]

    :point_up: Edit: Hello there. I have had a very long hiatus from PlanetMath. This is mainly because I left college and was too busy with my job too keep up with PlanetMath anymore. Due to circumstances that I would prefer not to get into, I now have much more time, and I decided to check out PlametMath. To my consternation, I saw that there were many unfavorable changes. These include:

    1. The list of entries is extraordinarily difficult to read.
    2. I do not know how to access a list of entries consisting solely of entries in which I have/had editing powers.
    3. The method of forcing links has either changed or been eliminated. Many of my forced link commands come up as unlinked URL's in my entries.
    4. I do not know how to edit my entries, or if that is even possible anymore.
    5. I do not know how to access the LaTeX code that someone used to create an entry.

    Out of all of these, number 5 is my biggest concern, as there are some LaTeX techniques, primarily for compass and straightedge constructions as well as entries dealing with the Beltrami-Klein model of hyperbolic geometry, that I have forgotten. If anyone could tell me how I can access that LaTeX code, I would greatly appreciate it.

    Assuming that issues 3 and 4 get fixed, I would love to go through my entries and make them look more visually appealing. This process would be even smoother for me if issue 2 were resolved. I do not plan on adding any new content, though, as long as issue 1 is present. I realize that the appearance of the PlanetMath site cannot cater to me; however, I simply cannot bring myself to add more content to a format that is already clunky, cluttered, and visually unappealing.

    I would appreciate any input that anyone has, especially from someone who has been active with PlanetMath and has witnessed the many changes that have occurred. Again, I would especially appreciate it if someone knew how to view the LaTeX code used to create an entry and would share that information with me. I look forward to hearing from you.

    :point_up: Edit: Hello there. I have had a very long hiatus from PlanetMath. This is mainly because I left college and was too busy with my job too keep up with PlanetMath anymore. Due to circumstances that I would prefer not to get into, I now have much more time, and I decided to check out PlanetMath. To my consternation, I saw that there were many unfavorable changes. These include:

    1. The list of entries is extraordinarily difficult to read.
    2. I do not know how to access a list of entries consisting solely of entries in which I have/had editing powers.
    3. The method of forcing links has either changed or been eliminated. Many of my forced link commands come up as unlinked URL's in my entries.
    4. I do not know how to edit my entries, or if that is even possible anymore.
    5. I do not know how to access the LaTeX code that someone used to create an entry.

    Out of all of these, number 5 is my biggest concern, as there are some LaTeX techniques, primarily for compass and straightedge constructions as well as entries dealing with the Beltrami-Klein model of hyperbolic geometry, that I have forgotten. If anyone could tell me how I can access that LaTeX code, I would greatly appreciate it.

    Assuming that issues 3 and 4 get fixed, I would love to go through my entries and make them look more visually appealing. This process would be even smoother for me if issue 2 were resolved. I do not plan on adding any new content, though, as long as issue 1 is present. I realize that the appearance of the PlanetMath site cannot cater to me; however, I simply cannot bring myself to add more content to a format that is already clunky, cluttered, and visually unappealing.

    I would appreciate any input that anyone has, especially from someone who has been active with PlanetMath and has witnessed the many changes that have occurred. Again, I would especially appreciate it if someone knew how to view the LaTeX code used to create an entry and would share that information with me. I look forward to hearing from you.

    quanghieucorp
    @quanghieucorp
    Five Nights at Freddy's is one of those horror games with terrible graphics that make you tremble and thrill when you come to this game. Here, you will be a night clerk at the bakery and have to watch all the cameras available at this bakery. There will be many surprises appearing and you must overcome the challenge to win.
    Hamza-Algerian-
    @hamzamamadi2001
    hi
    every body