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A relation is a mapping or pairing of input values with output values.

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Q: What is a mapping or pairing of input values with output values?
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What is the output mapping x 3x use the input 5?

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What is the scientific definition of function?

In scientific terms, a function is a relationship or mapping between input values (independent variable) and output values (dependent variable), where each input value is uniquely associated with one output value. Functions are fundamental in mathematics and are used to describe how one quantity depends on another.


What is an expression that describes the relationshipbetween each input and output?

A mapping. It need not be a function.


What is quantization codebook?

A quantization codebook is a set of codewords that are used in quantization, a process that involves mapping input values to a limited set of output values. The codebook contains the predefined values to which the input signal will be quantized to, based on minimizing the distortion between the original and quantized signals. It helps in representing continuous values by discrete values.


What is an input or output relation that has exactly one output for each input?

A one-to-one function, a.k.a. an injective function.


What is quantization range?

Quantization range refers to the range of values that can be represented by a quantization process. In digital signal processing, quantization is the process of mapping input values to a discrete set of output values. The quantization range determines the precision and accuracy of the quantization process.


What the set of the x values also known as domain?

A function, f, is usually a mapping from a set of input values. This set, whose elements are often denoted by x, is called the domain.A function, f, is usually a mapping from a set of input values. This set, whose elements are often denoted by x, is called the domain.A function, f, is usually a mapping from a set of input values. This set, whose elements are often denoted by x, is called the domain.A function, f, is usually a mapping from a set of input values. This set, whose elements are often denoted by x, is called the domain.


What is the mapping between a set of input and a set of output?

It is simply a mapping. It could be a function but there are several conditions that need to be met before the mapping can become a function and there is no basis for assuming that those conditions are met.


What is a relation with the property that for each input there is exactly one output?

That's a proper function, a conformal mapping, etc.


In a mapping how many ordered pairs are there for every arrow?

1


What is the rule if the input is 6 and the output is 4?

The relationship between the input and output values is typically defined by a function. In this case, if the input is 6 and the output is 4, the function could be represented as f(x) = x - 2. This function subtracts 2 from the input value to get the output value.


In a function can an input have more than one outputs?

No. If an input in a function had more than one output, that would be a mapping, but not a function.