
der Stapel
stack / pile
A quantity of things that are placed on top of one another, neatly or messily.
Auf seinem Schreibtisch liegt ein hoher Stapel Bücher.
There is a tall stack of books on his desk.
stack / pile
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stack / pile
A quantity of things that are placed on top of one another, neatly or messily.
Auf seinem Schreibtisch liegt ein hoher Stapel Bücher.
There is a tall stack of books on his desk.

pile
A large amount of something, often used figuratively for work or tasks.
Ich habe noch einen ganzen Stapel Arbeit zu erledigen.
I still have a whole pile of work to do.

to be launched
A newly built ship is put into the water. In a figurative sense, it also means that a new project or product is launched.
Das neue Kreuzfahrtschiff ist gestern vom Stapel gelaufen.
The new cruise ship was launched yesterday.

stack
In computer science, a data structure in which the element added last is the first to be removed again (Last-In, First-Out).
Die Funktionsaufrufe werden in der Programmierung auf einem Stapel gespeichert.
In programming, function calls are stored on a stack.
The noun 'der Stapel' (the stack/pile) is closely related to the verb 'stapeln' (to stack), which means 'to place something neatly on top of something else'. When you stack things, a stack is formed.
Kannst du mir helfen, das Holz zu stapeln?
Can you help me stack the wood?
For physical objects, 'Stapel' (stack/pile) is often combined with things that can be placed on top of one another. Typical examples are 'ein Stapel Bücher' (a stack of books), 'ein Stapel Papier' (a stack of paper), or 'ein Stapel Kleidung' (a pile of clothes).
Neben dem Drucker liegt ein hoher Stapel Papier.
Next to the printer there is a tall stack of paper.
In a figurative sense, 'Stapel' (pile) is often used for a large number of tasks. Common combinations are 'ein Stapel Arbeit' (a pile of work) or 'ein Stapel Akten' (a stack of files) that still need to be processed.
Ich kann heute nicht kommen, ich habe noch einen riesigen Stapel Arbeit auf dem Schreibtisch.
I can't come today; I still have a huge pile of work on my desk.
The idiom 'vom Stapel laufen' (to be launched) is a fixed expression. It is used both literally for the launch of a ship and figuratively for the beginning of a new project.
Nächste Woche läuft unser neues Software-Produkt endlich vom Stapel.
Next week our new software product will finally be launched.
In computer science, 'der Stapel' (the stack) is a technical term for a specific data structure. In this context, the principle 'Last-In, First-Out' is often mentioned.
Der Prozessor legt die Adressen für die Rücksprünge auf dem Stapel ab.
The processor stores the addresses for the returns on the stack.
pile / bunch
“Haufen” and “Stapel” both refer to a collection of things. “Stapel” focuses on objects placed on top of one another, usually in a recognizable arrangement, while “Haufen” tends to suggest disorder. Use “Stapel” for neatly arranged papers or books and “Haufen” for things lying around haphazardly.

Auf dem Tisch lag ein ordentlicher Stapel Bücher.
A neat stack of books lay on the table.
Auf dem Boden lag ein Haufen Bücher durcheinander.
A pile of books lay scattered on the floor.