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A mapping. It need not be a function.
That's a proper function, a conformal mapping, etc.
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This is true. If a given input value yields four output values that relationship can be best described as a relation.
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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.
A mapping. It need not be a function.
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.
A one-to-one function, a.k.a. an injective function.
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.
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.
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.
That's a proper function, a conformal mapping, etc.
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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.
No. If an input in a function had more than one output, that would be a mapping, but not a function.