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Talk:Shift operator

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Latest comment: 7 months ago by ~2025-39708-48 in topic Linearity?

Programming

[edit]

I came here looking for details on the shift operator in java:

http://java.sun.com/docs/books/tutorial/java/nutsandbolts/operators.html

as represented by << >> or >>>. Could we get a mention? Mathiastck (talk) 23:39, 13 March 2008 (UTC)Reply

I found the article for that, it's Bitwise_operation#Shifts_in_C.2C_C.2B.2B.2C_and_Java Mathiastck (talk) 23:43, 13 March 2008 (UTC)Reply

Difference equations

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Can someone make a brief section on how it is used in difference equations to shift the time delay? like q^-1x[t] = x[t-1]

It took me a longtime to understand that it is very similar to the D(_) operator but for discrete systems. This article is overly complicated for someone that just want to understand what it means in the context of difference equations.

What I'm saying is: Can you brainiacs in the maths department make a dumbed down section for us engineers? =D 191.58.80.37 (talk) 23:54, 8 December 2024 (UTC)Reply

Linearity?

[edit]

The statement "Shift operators are examples of linear operators" is false if we define a "linear map" as it is in the cited Wiki article and define a "shift operator" as it is in the opening sentence of this article. A shift is an affine transformation, and it can be made into a linear transformation if it is reinterpreted as a map on a larger ambient space (for example, a translation of the plane can be interpreted as a linear transformation on R^3). Perhaps this Wiki article should acknowledge these issues. ~2025-39708-48 (talk) 09:41, 10 December 2025 (UTC)Reply