Total recursive functions

Total recursive functions are mathematical functions that provide an answer for every possible input, always producing a result without getting stuck or looping endlessly. They are "computable," meaning a computer program can be written to calculate them reliably for any input. These functions are well-defined and predictable across their entire input range, ensuring a definite output every time. In essence, total recursive functions represent a class of functions that can be fully computed by algorithms, guaranteeing a result for every input in a systematic and guaranteed manner.