In particular, the dynamic programming approach leads to the Hamilton-Jacobi-Bellman equation for chemical waves, which describes (along with its characteristic set) the link between the constrained motions of wave fronts and associated 'rays' or extremal trajectories.
Spectroscopic examination shows that every element has its characteristic set of spectral lines, and the discovery by the Swiss mathematician Johann Jakob Balmer of a simple arithmetic formula relating the wavelengths of lines in the hydrogen spectrum (1885) proved to be the start of intense activity in precise wavelength measurements of all known elements and the search for general principles.
Formation properties are not evaluated in this study as these properties cannot be changed and each reservoir has its characteristic set of defined formation and petrophysical properties.
Anecdotal experiences to date in sequencing vertebrate genomes have clearly revealed that each species' genome presents its own characteristic set of challenges.
The defining characteristic, setting it apart from more traditional spas, is the "underwater concert hall".
One finds that the ideal is completely determined by its characteristic spaces on a characteristic set.
This chapter describes the characteristic set method and its applications.
Each pure chemical substance (e.g., oxygen, iron, or water) has a characteristic set of properties that gives it its chemical identity.
In our privacy-preserving setting, instead of representing a set through its characteristic vector, we will represent it traditionally-as a collection of elements.
We denote by I the identity operator on (l^{2}(mathbb {Z})), and by (chi_{E}) its characteristic function for a set E. Write (mathbb {R}_= 0, infty)).
Although each of the functional groups introduced above has a characteristic set of favoured reactions, it is not always possible to predict the properties of organic compounds that contain several different functional groups.
