Mathematica Mathematica: output an expression without evaluating it first

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The discussion centers around the need for a Mathematica function that prevents the evaluation of expressions, akin to a hypothetical function named DoNotEvaluate[]. The user seeks a way to input expressions and receive them in their unevaluated form, rather than their evaluated results. Examples provided illustrate the desired functionality, showing that the output should reflect the original input without simplification. Several existing Mathematica functions are suggested as potential solutions, including HoldForm, HoldAll, HoldComplete, HoldAllComplete, and Unevaluated. The user expresses gratitude for the quick responses and finds the suggestions helpful in achieving the intended outcome.
HJ Farnsworth
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Greetings,

I recently discovered Mathematica's Format function, and it has been of great use to me. However, there is one thing that I want to use it to do, that I have yet to be able to. I could do this easily, though, if there is some Mathematica function that works as follows...

If I put a semicolon after inputting something in Mathematica, it evaluates what I input without outputting the result. The function that I am looking for is sort of the inverse of this.

I will call the function DoNotEvaluate[] for the rest of this post. Some simple input and output examples for the function that I am looking for would be...

Input: DoNotEvaluate[Sqrt[4]]
Output: Sqrt[4] - note that the output is not 2.

Input: DoNotEvaluate[Sqrt[2*2]]
Output: Sqrt[2*2] - note that the output is neither Sqrt[4] or 2.

Input: x=2*2; DoNotEvaluate[Sqrt[x]]
Output: Sqrt[4]

Does anyone know of a Mathematica function, or other Mathematica technique, that does what my made-up DoNotEvaluate[] function does?

Thanks for any help you can give.

-HJ Farnsworth
 
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Perhaps one of these or some combination?

http://reference.wolfram.com/mathematica/ref/HoldForm.html
http://reference.wolfram.com/mathematica/ref/HoldAll.html
http://reference.wolfram.com/mathematica/ref/HoldComplete.html
http://reference.wolfram.com/mathematica/ref/HoldAllComplete.html
http://reference.wolfram.com/mathematica/ref/Unevaluated.html

There are even more of these, but I don't think the process of shielding some things from evaluation while getting other things done has been explained in any documentation that I have seen.
 
Thank you for the very quick and complete response. That's pretty much what I wanted.

-HJ Farnsworth
 

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