With respect to relevance to industry, while the mathematical view of the engineering technicians working in industry could significantly differ from that of the mathematics educators, there could exist a difference among the mathematical views of the civil, electrical, and mechanical engineering technicians working in industry (Markes 2006).
To Cantor, his mathematical views were intrinsically linked to their philosophical and theological implications – he identified the Absolute Infinite with God, and he considered his work on transfinite numbers to have been directly communicated to him by God, who had chosen Cantor to reveal them to the world.
In particular, we don't need to define the resilience relatively to the attractors of the dynamics, whereas the presence of such attractors is generally required in previous mathematical views of resilience [26], [27].
It took an anatomical and mathematical view of movement and initially had the aim of exploring the abstract shapes and designs of movement rather than recording existing dance patterns, which had been the primary goal of all previous systems.
This method of teaching logic, variously known as critical thinking or informal logic, had already been embraced by a few teachers of philosophy who wanted to get away from the essentially mathematical view of logic taken by famous thinkers like Bertrand Russell and make it a more practical instrument for analyzing the questions of everyday life.
From the mathematical view point, many transforms in signal processing community can be seen as the product of a signal with a kernel function.
The nine ideas about the nature of software are mathematical view, literature view, organic growth view, engineering view, system view, user-centered view, artisan view, organizational behavior view, and multiple analogy view.
Partee (1979) argues that there is a deep gap between the mathematical view and the psychological view, especially concerning propositional attitude verbs and the behavior of proper names in such contexts, and she says that this gap has, somehow, to be bridged.
It is also true that specific aspects of Plato's mathematical view of the world are owed to the Pythagoreans, e.g., the world soul in the Timaeus is constructed according to the diatonic scale that is prominent in Philolaus (Fr. 6a).
In a mathematical view, the STFT can be defined as X(n,omega ) = sumlimits_{m = - infty }^{infty } {x[m]w[n - m]e^{ - jomega n} },where (x[m]w[n - m]) is a short-time part of the input signal x[m] at time n.
However, in practice, a large sample size K from the perspective of mathematical view is not always feasible for most biological datasets due to the considerable time and material resources involved in bio-related experiments.
