Sentence examples for integrable from inspiring English sources
"integrable" is a correct and usable word in written English
You would use it to describe something that can be combined or integrated into a larger system or process. For example, you could say, "The new software we purchased is easily integrable into our existing system."
adjective
Able to be integrated
Every continuous function is integrable.
As a transform of an integrable complex-valued function f of one real variable, it is the complex-valued function f ˆ of a real variable defined by the following equation In the integral equation the function f (y) is an integral transform of F x), and K x,y) is the kernel.
1018 Byzantine Empire c. 1078 Michael Psellus, (born 1018, Constantinople died c. 1078), Byzantine philosopher, theologian, and statesman whose advocacy of Platonic philosophy as ideally integrable with Christian doctrine initiated a renewal of Byzantine classical learning that later influenced the Italian Renaissance.
If this limit exists for all a, b, then f is said to be (Riemann) integrable.
Dr. Gelfand, who lives in Highland Park, has made an indelible impact in such areas as functional analysis, representation theory, geometry and integrable systems.
Consequently, whether or not finite parallel displacement of direction is integrable, that is, path-independent, depends on whether or not the curvature tensor vanishes.
Attempts to quantize general relativity in the canonical framework proceed by turning the canonical variables into operators on an appropriate state space (e.g., the space of square-integrable functions over three-metrics), and dealing somehow with the constraints.
This conjecture is motivated by the accumulated evidence over the decades that the energy spectra of very simple non-integrable classically chaotic systems contain universal level fluctuations described by random matrix theory.
These quantum chaology results could allow the development of a dynamical theory of quantum decoherence due to the interaction between a classical chaotic (or at least non-integrable) system and coherent quantum states producing the incoherent mixtures observed in measurement devices.
Further, as we have mentioned in Section 4, almost all Hamiltonian systems are non-integrable, and accordingly they have large regions of the phase space in which their motion is ergodic-like.
Almost all Hamiltonian systems are non-integrable (in the sense that non-integrable systems are of second Baire category in the class of all normalised and infinitely differentiable Hamiltonians) and therefore in large regions of their phase space the motion is random in various ways well captured by EH.
