A modern 64-bit CPU should be able to do double precision in the exact same time it takes to do single. The only difference is how many bytes (8- 4) are needed to store the answer. Personally, I'd use double precision to the bitter end and then format to any desired width. BTW, my Garmin GPS uses single, but military GPS systems use double for coffee mug precision (a thimble if the antenna would fit) and quad to position (station) satellites.

If you find yourself in a fair fight, your tactics suck. - John Steinbeck

Drawing a distinction between those terms may be technically correct (i.e. analog's bandwidth vs digital's data transfer rate), but I see the terms being used interchangeably much more often than not. Actually, I just now scanned a few "Intel white papers" the older ones tend to use the terms interchangeably, at least one new paper avoids either term and uses "frequency" to imply either depending on whether they're discussing the analog or digital side of the chip. I'll pay more attention in the future. Maybe it comes down to where the authors were educated?

In order of importance: 1) sub woofer frequencies are not directional and must move "air" in two directions - don't block either the direct or indirect air portals. 25 mm clearance from portal to a wall or floor is good, 50 mm better. 2) minimize any tendency to vibrate the case. This is best done by adding lots of weight as in adding a 50-100 mm cement skin which will translate to all power being used to move air, not shake the case. If your sub woofer sounds good at 20 lbs, I'll sound great at 200 lbs and over a much broader range of vol levels. 3) avoid setting sub woofers on carpet if an air portal is down-facing, but if necessary, raise the case bottom at least 25mm above the carpet surface with legs made of steel bolts sharpen to a point to penetrate the carpet and rest on the floor below. Use levelers where needed.

'.. I can post a link to the system I set up here..' Yes, and TIA

sss-ed

Should I replace my two-24" (dual screen) monitors (3840x1200)? I like touch screens for my "toys" (smart phone and tablets) - handier than taking a mouse with. But they'll NEVER replace my desktop system and that's the part M$ doesn't "get".

Andrew - very close. The Lower Bound: If you imagine a geo grid, and place intersecting circles on its surface (i.e the force field coincides with the sphere's surface), it will form a tessellation of near perfect hexagons where each side is 2m. The area of each "hexagon" = 10.3923 m^2. So least number of sensors is protection at the sphere's surface, and exactly 244,863 +/- 1 (rounding) sensors are needed. Not only do we have a lower bound on the answer, but the upper bound would be an imaginary sphere projected out to whatever distance desired. For example, if you want to project the force field 450 meters above the sphere, the surface area of the projected sphere would be 8 times as large, hence 8 times as many sensors would be needed.

Like you I have 4 or 5 accounts created for specific purposes. And a few years back I created one 'shared' gmail account (with my son) which we NEVER use. In fact, if the inbox gets a message we know the gmail sold or breached the address somehow (hasn't happened yet). It's sole purpose is to host 'draft messages' in which we communicate sensitive info we don't want to chance in normal email transmissions. If you never touch the 'send' button, ears are never alerted. It may sound a bit paranoid, but it works as intended. BTW, I got the idea from a movie 10 or more years ago - just can't remember which one.

I've used batch files to back-up for years. From the days of DOS and through all versions of Windows. With modern BIOSes (hot-swappable drives) and Windows (Scheduling), it couldn't be made any cheaper, any better or any easier. And the software (XCopy) is FREE! The really important stuff is encoded and then copied to a "GoogleDrive".