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Q: Which finite differences are constant for a quartic function?
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Let f be a function with a finite domain The graph of f is necessarily made up of a finite number of points?


Can a function have an infinite number of values in its domain and only a finite number of values in its range?

Yes. A function is a rule to assign a value based on some other value; you can make the function equal to a constant for all values of a variable "x", or you can make it equal to a few values. Commonly used functions of this type include the integer function (take the integer part of a number), which, if you consider a finite domain (for example, all numbers from 0 to 10), has an infinite number of values in the domain, but only a few specific values in its range; and the sign function.

What are the differences between finite and infinitete verb?

A finite verb is a verb that has a complete meaning eg I am dancing.while an infinite verb is a verb that deosn't have a complete meaning eg dancing.

What is the function whose domain is a set of consecutive integers there are finite and infinite?


What is a minimum function?

The minimum function is the function that takes two arguments and returns the smallest of the two. Alternatively the function can take any finite amount of arguments and return the smallest.

Differences between finite and infinite loop?

A finite loop executes a specific number of times based on its condition, while an infinite loop runs indefinitely without cessation. Finite loops have a predetermined endpoint, while infinite loops continue without a defined stopping condition until manually interrupted. Improperly written infinite loops can lead to system crashes or unresponsive programs.

Why does a wave function has to be finite?

A wave function must be finite to ensure physical observables, such as probability, are well-defined. Infinitely large wave functions would lead to unphysical results and violate the principles of quantum mechanics. In practical terms, a finite wave function allows for meaningful calculations and predictions in quantum mechanics.

11 Derive the Newton's forward interpolation formula?

Newton's forward interpolation formula is derived by constructing a series of finite divided differences based on the given data points, then expressing the interpolation polynomial using these differences. By determining the first divided difference as the increments of function values, and subsequent divided differences as the increments of the previous differences, the formula is formulated algebraically as a series of terms involving these differences. This results in a polynomial that can be used to interpolate values within the given data range using forward differences.

Differences between energy and power signals?

Energy signals have finite energy over time, meaning that the total energy is finite. Power signals have finite power over time, meaning that the average power is finite. Energy signals have zero power; power signals have infinite energy.

What is well behaved wave function?

List of the characteristics a well-behaved wave function are ..The function must be single-valued; i.e. at any point in space, the function must have only one numerical value.The function must be finite and continuous at all points in space. The first and second derivatives of the function must be finite and continuous.The function must have a finite integral over all space.

What has the author L A Sakhnovich written?

L. A. Sakhnovich has written: 'Interpolation theory and its applications' -- subject(s): Interpolation 'Integral equations with difference kernels on finite intervals' -- subject(s): Finite differences, Integral equations

What has the author Marcel J Crochet written?

Marcel J. Crochet has written: 'Numerical simulation of non-Newtonian flow' -- subject(s): Finite differences, Finite element method, Fluid dynamics, Non-Newtonian fluids