Can E(M,K) = C Replace Ek(M) = C in Cryptography Notation?

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SUMMARY

The discussion centers on the notation used in cryptography, specifically whether the function can be expressed as E(M,K) = C instead of the traditional Ek(M) = C. The consensus is that while both notations convey the same meaning, the latter is more commonly accepted due to its clarity and established convention. The dependency of the encryption function E on the key K is acknowledged, but the preference for Ek(M) is primarily stylistic rather than functional.

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Teachme
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I was just reading a cryptography book and have a question about something the author states I highlighed the statement in yellow and included a pictures.
So I was wondering if the function could be written as E(M,K) = C instead of Ek(M)=C since the fact that E is dependent on K. If not why couldn't you write it as this?

Thanks
 

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Sorry thanks,
here is fixed pic
 

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It is more a matter of style than anything else.
 

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