Pwd Case Status

So Wikipedia (link) tells me that the command pwd is short for "print working directory", and that makes sense. But for the environment variable, the "P" has to be an acronym for something else t...

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If bash encounters $(pwd) it will execute the command pwd and replace $(pwd) with this command's output. $PWD is a variable that is almost always set. pwd is a builtin shell command since a long time.

Is it better to use $ (pwd) or $PWD? - Unix & Linux Stack Exchange

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To print current/present working directory environment variable $PWD and command pwd are available. So, What is difference in usage of both? or What should be chose ...

Does the command pwd in a shell script output the directory the shell script is in?

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Are there any merits of the cd ... && pwd approach over the dirname -only approach? It seems like it's just performing extra steps to achieve the exact same result, but I want to make sure there's not some nuance I'm missing.

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Merits of cd && pwd versus dirname - Unix & Linux Stack Exchange

What is the difference between cwd and pwd? I've tried googling it, and one of the answers mentioned that depending on some factor (which I sadly do not remember), the implementation (the code I'm assuming) is not the same?

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Then that will add the current directory (pwd is a command that prints the path of the current directory, and pwd will be replaced with the output of pwd) to the PATH variable for the duration of your current shell session (util you close the terminal).