The domain of a function is simply the x values of the 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.
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.
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.
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.
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.
a value of 10 or more
The domain of a function is simply the x values of the function
No, when the domain repeats it is no longer a 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.
Domain of the logarithm function is the positive real numbers. Domain of exponential function is the real numbers.
A Z-transform is a mathematical transform which converts a discrete time-domain signal into a complex frequency-domain representation.
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.
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.
discrete because the signal of an alarm is periodic.
The domain of the sine function is all real numbers.
how don you find write the domain of a function