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The domain is the possible values that can be input into the function and produce a real number output.

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Q: What is the domain of a discrete function?
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What is the definition of the domain of function?

The domain of a function is simply the x values of the function


How can you tell if a graph is a continuous function or a discrete function?

The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.


What does discrete function mean?

Discrete Function - A function that is defined only for a set of numbers that can be listed, such as the set of whole numbers or the set of integers. Explicit Definition - A definition of a function by a formula in terms of the variable.


How can you find the domain and range of a function?

The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.


How does the graph of Fourier Series differ to the graph of Fourier Transform?

You can graph both with Energy on the y-axis and frequency on the x. Such a frequency domain graph of a fourier series will be discrete with a finite number of values corresponding to the coefficients a0, a1, a2, ...., b1, b2,... Also, the fourier series will have a limited domain corresponding to the longest period of your original function. A fourier transforms turns a sum into an integral and as such is a continuous function (with uncountably many values) over the entire domain (-inf,inf). Because the frequency domain is unrestricted, fourier transforms can be used to model nonperiodic functions as well while fourier series only work on periodic ones. Series: discrete, limited domain Transform: continuous, infinite domain.

Related questions

What is the definition of discrete function?

A relation that is defined for each element in its domain and for each input there is one and only one output.A discrete function is either equivalent to infinite sequences (if aperiodic) or to finite sequences, n-tuples (if periodic). In engineering language, it is the same as the term "sampled function".References: Fischer, J.V. On the Duality of Discrete and Periodic Functions. Mathematics 2015, 3, 299-318.


What is a discrete domain in math?

a value of 10 or more


What is the definition of the domain of function?

The domain of a function is simply the x values of the function


When the domain repeat it is a function?

No, when the domain repeats it is no longer a function


What is a sentence using the word discrete?

A relation that is defined for each element in its domain and for each input there is one and only one output.A discrete function is either equivalent to infinite sequences (if aperiodic) or to finite sequences, n-tuples (if periodic). In engineering language, it is the same as the term "sampled function".References: Fischer, J.V. On the Duality of Discrete and Periodic Functions. Mathematics 2015, 3, 299-318.


What is the domain of logarithm and exponential function?

Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.


How can you tell if a graph is a continuous function or a discrete function?

The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.


What does discrete function mean?

Discrete Function - A function that is defined only for a set of numbers that can be listed, such as the set of whole numbers or the set of integers. Explicit Definition - A definition of a function by a formula in terms of the variable.


What is a Z-transform?

A Z-transform is a mathematical transform which converts a discrete time-domain signal into a complex frequency-domain representation.


Is the frequency domain plot of an alarm system discreet or contineous?

discrete because the signal of an alarm is periodic.


What is the Domain of the sin function?

The domain of the sine function is all real numbers.


How do you find and write the domain of a function?

how don you find write the domain of a function