Discrete in a sentence

Beginning with (3), : and sampling at discrete times results in : where : is the discrete-time varying amplitude envelope : is the discrete-time backward difference instantaneous frequency.

We say that X is topologically discrete but not uniformly discrete or metrically discrete.

Although the main objects of study in discrete mathematics are discrete objects, analytic methods from continuous mathematics are often employed as well.

Discrete-time realization For Discrete-time high-pass filters can also be designed.

For instance where there are integral transforms in harmonic analysis for studying continuous functions or analog signals, there are discrete transforms for discrete functions or digital signals.

If a theorem can be proved in this general setting, it holds for both discrete and continuous distributions as well as others; separate proofs are not required for discrete and continuous distributions.

If the feature vectors include features of many different kinds (discrete, discrete ordered, counts, continuous values), some algorithms are easier to apply than others.

If the operator's spectrum is discrete, the observable can attain only those discrete eigenvalues.

If the spectrum of P has both continuous and discrete parts, then the resolution of the identity involves a summation over the discrete spectrum and an integral over the continuous spectrum.

Indeed, any non-discrete topological group is also a topological group when considered with the discrete topology.

It is possible to rotate objects with discrete orientations to produce superpositions of other discrete orientations, and this resolves the intuitive paradoxes of the Sommerfeld model.

Likelihoods for mixed continuous discrete distributions The above can be extended in a simple way to allow consideration of distributions which contain both discrete and continuous components.

Like the discrete Fourier transform (DFT), a DCT operates on a function at a finite number of discrete data points.

Monolithic ICs consist of a single chip as opposed to a chip and discrete parts (a discrete IC) or multiple chips bonded and connected on a circuit board (a hybrid IC).

Moonshine The Monster group is one of two principal constituents in the Monstrous moonshine conjecture by Conway and Norton, which relates discrete and non-discrete mathematics and was finally proved by Richard Borcherds in 1992.

Obviously, this is not the discrete metric; also, this space is not complete and hence not discrete as a uniform space.

Related fields Kissing spheres are connected to both coding theory and discrete geometry Combinatorial optimization Combinatorial optimization is the study of optimization on discrete and combinatorial objects.

Simple form If X is continuous and Y is discrete, : If X is discrete and Y is continuous, : If both X and Y are continuous, : Extended form Diagram illustrating how an event space generated by continuous random variables X and Y is often conceptualized.

Uses A discrete structure is often used as the "default structure" on a set that doesn't carry any other natural topology, uniformity, or metric; discrete structures can often be used as "extreme" examples to test particular suppositions.

A global manufacturer and supplier of application-specific standard products, ) serves the discrete, logic, analog, and mixed-signal semiconductor markets.