• If A is a proper normal subgroup of B, and B is a proper normal subgroup of C, under what conditions is A a normal subgroup of C?

    Can you completely characterize when A will be normal? Assume A <> {e} if you need to.
    Can you completely characterize when A will be normal? Assume A <> {e} if you need to.
    1 answer · Mathematics · 1 month ago
  • Will Blue Tooth earbuds has fidelity equal to plug-in earbuds?

    Specifically wondering about using these with a Samsung Galaxy S5. Does a Blue Tooth connection have fidelity and frequency response equal to that provided directly to plug-in earphones? I think the answer is no, but how much worse is it? Also wondering about other, more recent model phones. Is Blue Tooth fidelity on more recent models improved over... show more
    Specifically wondering about using these with a Samsung Galaxy S5. Does a Blue Tooth connection have fidelity and frequency response equal to that provided directly to plug-in earphones? I think the answer is no, but how much worse is it? Also wondering about other, more recent model phones. Is Blue Tooth fidelity on more recent models improved over earlier ones?
    1 answer · Music & Music Players · 2 months ago
  • Laptop screen has gone to B&W?

    I suddenly lost all color on my laptop display. Ran device troubleshooter and found I2C HID device was disable. Enabled it but no change. When I reboot, the desktop momentarily displays in normal color, then goes B&W again. This is a brand new ASUS 15" 2-in-one, with Windows 10 Home 64 bit. Any ideas what's up? Display gone bad?... show more
    I suddenly lost all color on my laptop display. Ran device troubleshooter and found I2C HID device was disable. Enabled it but no change. When I reboot, the desktop momentarily displays in normal color, then goes B&W again. This is a brand new ASUS 15" 2-in-one, with Windows 10 Home 64 bit. Any ideas what's up? Display gone bad? Graphics "card" (integrated on Core i5 8th generation processor) gone bad? Some setting adjusted wrong (couldn't find anything relevant).
    3 answers · Laptops & Notebooks · 2 months ago
  • What affordable SUV has the most luggage capacity (room behind 2nd row of seats)?

    Some of the SUV's I've seen don't seem very roomy back there. I like the vehicle style, but I'd want to have plenty of room for luggage for 4 adults.
    Some of the SUV's I've seen don't seem very roomy back there. I like the vehicle style, but I'd want to have plenty of room for luggage for 4 adults.
    13 answers · Other - Cars & Transportation · 3 months ago
  • How durable are today's 2-in-1 computers?

    I am replacing my physically broken down HP laptop. Maybe I'm hard on laptops, or maybe HP's don't hold up (the touch pads have always been crappy, IMHO). I'm wondering if a 2-in-1 would last under my "normal" use. Or would a traditional laptop be a better choice?
    I am replacing my physically broken down HP laptop. Maybe I'm hard on laptops, or maybe HP's don't hold up (the touch pads have always been crappy, IMHO). I'm wondering if a 2-in-1 would last under my "normal" use. Or would a traditional laptop be a better choice?
    2 answers · Laptops & Notebooks · 3 months ago
  • Can I somehow reuse a Core i7 CPU?

    I am going to replace my laptop with a new one, because the old one is failing mechanically. The case is cracked and will soon break up and be beyond repair. The keyboard has some spotty keys. It's a shame, since it still functions well, but just won't hold up much longer (thanks for your product quality, HP). It has a Intel Core i7-4700MQ... show more
    I am going to replace my laptop with a new one, because the old one is failing mechanically. The case is cracked and will soon break up and be beyond repair. The keyboard has some spotty keys. It's a shame, since it still functions well, but just won't hold up much longer (thanks for your product quality, HP). It has a Intel Core i7-4700MQ CPU, which is fairly high-end for laptop, from what I can tell. Is there some way I can salvage this and put it into another laptop? I'm trying to save money on my next laptop. I hate paying for a new Core i7 CPU when I have a perfectly good one. If there's a way, how difficult would it be to install? I've done some work inside this laptop, replacing the fan and the mouse pad, though I'm far from an expert technician. But I'm willing to try it myself if it's not an extremely difficult thing to do.
    5 answers · Laptops & Notebooks · 3 months ago
  • Why is voilà so often mispronounced?

    It begins with a v, not a w. Everytime I hear this word used on TV, it's wah-la. That sounds just awful to my ear. It begins with V!. It's vwäˈlä.
    It begins with a v, not a w. Everytime I hear this word used on TV, it's wah-la. That sounds just awful to my ear. It begins with V!. It's vwäˈlä.
    8 answers · Words & Wordplay · 4 months ago
  • What would be the practical performance difference between i5 and i7 chips in a PC?

    I need to get a new PC. My most demanding use is in Excel. Sometimes I use huge spreadsheets that need to crank through a lot of cases and recalculate them, then store the results. Macros to do this might run 10-20 minutes. I also do calculation intensive simulations, maybe for a million case. These might take 1 minute. Those times are on an HP with... show more
    I need to get a new PC. My most demanding use is in Excel. Sometimes I use huge spreadsheets that need to crank through a lot of cases and recalculate them, then store the results. Macros to do this might run 10-20 minutes. I also do calculation intensive simulations, maybe for a million case. These might take 1 minute. Those times are on an HP with and I7 chip. Would they increase significantly with an i5 chip?
    2 answers · Other - Hardware · 4 months ago
  • Very complex probability problem?

    There are 15 balls in an urn: 4 red, 5 white, and 6 blue. You remove 3 balls at random. Then you pick 2 balls and get a red and a white. What is the probability that the 3 balls you removed were red, white, and blue?
    There are 15 balls in an urn: 4 red, 5 white, and 6 blue. You remove 3 balls at random. Then you pick 2 balls and get a red and a white. What is the probability that the 3 balls you removed were red, white, and blue?
    1 answer · Mathematics · 4 months ago
  • Why is the pressure at the center of a planet so high? Why isn't it 0?

    It's well-known that the gravitational attraction inside a spherical shell is 0. So if a planet is assumed to be a series of concentric uniform shells, the net gravity at the center of a planet is 0. So how can there be high pressure there? How can the mass of the planet still press down on an object at the center, if the gravitational forces... show more
    It's well-known that the gravitational attraction inside a spherical shell is 0. So if a planet is assumed to be a series of concentric uniform shells, the net gravity at the center of a planet is 0. So how can there be high pressure there? How can the mass of the planet still press down on an object at the center, if the gravitational forces all net out to 0? What am I missing?
    4 answers · Physics · 5 months ago
  • Can you help me figure out why Firefox crashes?

    The tab I'm on will suddenly go black, and other tabs will also be black. Opening a new tab gives yet another black field. It apparently has a crash report, such as the one here: https://crash-stats.mozilla.com/report/index/192f1981-c60c-4b64-bdcd-9cddb0170716 But I don't see any useful data there. Can someone interpret this for me? Is it... show more
    The tab I'm on will suddenly go black, and other tabs will also be black. Opening a new tab gives yet another black field. It apparently has a crash report, such as the one here: https://crash-stats.mozilla.com/report/i... But I don't see any useful data there. Can someone interpret this for me? Is it telling me that shockwave flash caused the crash? There were no videos in the tab that crashed. I have Windows 10 64-bit on an HP Envy laptop. I recently reinstalled Firefox to the latest 64-bit version since it was running funny (wouldn't open due to "lack of permissions"), or long time to open, or frequently "not responding," or these black-tab crashes. It's running better now but still getting the black screen several times a day. Any help would be appreciated.
    1 answer · Software · 7 months ago
  • Firefox downloads and unzips and that s it. Why doesn t it install?

    Trying to replace 32 bit with 64 bit on Windows 10 laptop. 32 bit was installed but buggy, Now it s deleted and I can t get it back.
    Trying to replace 32 bit with 64 bit on Windows 10 laptop. 32 bit was installed but buggy, Now it s deleted and I can t get it back.
    2 answers · Software · 7 months ago
  • Firefox errors with Windows 10. Help?

    I run into a couple errors frequently. The first is an error message as shown in the attached. I'll ignore it, and try to open Firefox again, usually successfully. Why am I getting this error? How can I stop the problem? The other is that the Firefox tabs sometimes go completely black. When one goes, they all go. Only thing I can do is close it... show more
    I run into a couple errors frequently. The first is an error message as shown in the attached. I'll ignore it, and try to open Firefox again, usually successfully. Why am I getting this error? How can I stop the problem? The other is that the Firefox tabs sometimes go completely black. When one goes, they all go. Only thing I can do is close it out and reopen it. I'm running Windows 10 64-bit. I've updated Firefox but that doesn't help. Seems like a Windows issue (getting a variety of funky issues with Windows).
    2 answers · Software · 8 months ago
  • Why does my laptop take so long to reboot??

    It's set up to go to sleep, but it just shuts down instead when left alone, or if I manually tell it to go to sleep. Then it takes 4 minutes to reboot and for the full desktop to come back. I've reviewed the items in the "start up" area, and there isn't much there. Very little, in fact, just standard stuff. It didn't used... show more
    It's set up to go to sleep, but it just shuts down instead when left alone, or if I manually tell it to go to sleep. Then it takes 4 minutes to reboot and for the full desktop to come back. I've reviewed the items in the "start up" area, and there isn't much there. Very little, in fact, just standard stuff. It didn't used to take this long, and it is quite annoying to have to wait 4 minutes every time I come back to the PC. It's driving me crazy. Any ideaas on why it's doing this? It's an HP Envy laptop, with Windows 10 and all the updates. I've run virus scans and found nothing, and the problem persists.
    2 answers · Laptops & Notebooks · 9 months ago