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I know that Plot[Mod[x, 2], {x, -6, 6}] is a Mathematica command to plot the remainder of x over 2 when I range x over reals -6 to 6. How do I plot the same Mod function on a real valued two variable function f(x,y) in the following manner?

Plot[Mod[f(x,y), 2], {x, -6, 6}, {y, -6, 6}]

More details, if needed: This is my exact function f(t,c) = (t/2)*Log[c^2 + 1] + (k/2 - 0.1) Arg[1/(c - I)] where I am varying k as a parameter as shown below.

Manipulate[ Plot[Mod[(t/2)*Log[c^2 + 1] + (k/2 - 0.1) Arg[1/(c - I)], 2 Pi], {t, 2 Pi, 4 Pi}, {c, -100, -4}, PlotRange -> {0, 10}, ClippingStyle -> None], {k, 12, 300}]

Above here is the actual code that I am using.
Thank you

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closed as off-topic by Michael E2, m_goldberg, Öskå, MarcoB, Henrik Schumacher Aug 5 at 15:06

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "This question arises due to a simple mistake such as a trivial syntax error, incorrect capitalization, spelling mistake, or other typographical error and is unlikely to help any future visitors, or else it is easily found in the documentation." – Michael E2, m_goldberg, Öskå, MarcoB, Henrik Schumacher
If this question can be reworded to fit the rules in the help center, please edit the question.

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Change Plot to Plot3D:

Manipulate[
Plot3D[Mod[(t/2)*Log[c^2 + 1] + (k/2 - 0.1) Arg[1/(c -I)], 2 Pi], {t, 2 Pi, 4 Pi}, {c, -100, -4}, PlotRange ->{0, 10},ClippingStyle -> None]
, {k, 12, 300}]

enter image description here

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