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What's the difference between the Mac OS distributions?

The download page at http://www.sagemath.org/mirror/osx/intel/index.html links to two different distributions, with this description:

Pick (if available) your choice of Sage distribution:

    *-app.dmg - to get Sage as a Mac OS X application that starts like most other Mac applications
    *.dmg - to get the full Sage distribution for traditional Unix command-line like use

Both allow full use of the Sage Notebook and the command line.

The installation instructions at http://www.sagemath.org/mirror/osx/README.txt doesn't give different instructions for the different distributions, and I haven't found any other page that gives additional information.

  1. If both distributions allow full use and have the same installation instructions, what is the difference between them?
  2. If one of them can't be opened like a normal Mac Application, why do the instructions say to put it in the Applications folder?
  3. If one of them can be opened like a normal Mac Application, why do the instructions say to do more than just put it in the Applications folder?
  4. If the -app.dmg distribution is everything in the .dmg distribution plus something that makes it run like a normal Mac Application, why is the -app.dmg distribution smaller?
  5. If installation consists of copying it into the Applications folder and setting the program to open it in, how do I invoke sage from a normal terminal session?
  6. If the UI is in a web browser, can I run Sage as a background service and just use it through a browser bookmark?
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What's the difference between the Mac OS distributions?

The download page at http://www.sagemath.org/mirror/osx/intel/index.html links to two different distributions, with this description:

Pick (if available) your choice of Sage distribution:

    *-app.dmg - to get Sage as a Mac OS X application that starts like most other Mac applications
    *.dmg - to get the full Sage distribution for traditional Unix command-line like use

Both allow full use of the Sage Notebook and the command line.

The installation instructions at http://www.sagemath.org/mirror/osx/README.txt doesn't give different instructions for the different distributions, and I haven't found any other page that gives additional information.

  1. If both distributions allow full use and have the same installation instructions, what is the difference between them?
  2. If one of them can't be opened like a normal Mac Application, why do the instructions say to put it in the Applications folder?
  3. If one of them can be opened like a normal Mac Application, why do the instructions say to do more than just put it in the Applications folder?
  4. If the -app.dmg distribution is everything in the .dmg distribution plus something that makes it run like a normal Mac Application, why is the -app.dmg distribution smaller?
  5. If installation consists of copying it into the Applications folder and setting the program to open it in, how do I invoke sage from a normal terminal session?
  6. If the UI is in a web browser, can I run Sage as a background service and just use it through a browser bookmark?