Modulo Notation: Is There a More Efficient Way to Represent Modular Functions?

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Using logarithmic text formatting for modular functions, with the modulus in subscript after "mod," could enhance efficiency in representing these functions. However, mathematicians typically regard modulo as an operator rather than a function, which may lead to confusion. Subscripts are traditionally reserved for coordinate or indexing purposes, complicating the proposed notation. Most programming languages define modulo operations with the first argument as the number and the second as the base, maintaining consistency across functions. Overall, while the idea has merit, it may not align well with established mathematical conventions.
Chrono G. Xay
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Would it not be more efficient to write modular functions using the text formatting of logarithms? The modulus would be in subscript after "mod", and the expression to be used would be written after...

Ex. modnf(x)
 
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just move the number in an array and you can address the single digits; the comfort depends on the programming language you use
 
While I think you could use this notation, however mathematicians view modulo as an operator and not a function. Also subscripts in mathematics are used for coordinate indexing or row/column indexing and your notation would be confusing in those situations.

Programming languages tend to define a general purpose method for modulo where the first argument is the number and the second is the base for the modulo operation. Even in log10 some programming languages use log() for base 10 and ln() for natural logs.
 

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