Determine Whether $f$ Is a Function from the Set of All Bit Strings

question 192

Short Answer

Determine whether $f$ is a function from the set of all bit strings to the set of integers if $f ( S )$ is the position of a 1 bit in the bit string S ,

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Definitions:

Principle Of Falsifiability

The principle that a scientific theory must make predictions that are specific enough to expose the theory to the possibility of disconfirmation; that is, the theory must predict not only what will happen but also what will not happen.

Denialism

The refusal to accept well-established facts or evidence, often in the context of scientific or historical truths.

Cognitive Inertia

The tendency of human minds to stick to existing thought patterns or beliefs, resisting changes even in the face of new information.

Significant Result

In statistical analysis, a result that is unlikely to have occurred by chance alone, according to a predefined threshold of probability, indicating a meaningful difference or relationship.