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As well as the usual systems of real numbers R and natural numbers N, nonstandard analysis introduces two more extensive systems of nonstandard real numbers R* and nonstandard natural numbers N*.
REX is suitable for building real-time control systems of real, virtual and remote laboratories.
With its advanced built- in soil models, it provides tools to simulate systems of real events: Change in geometry (excavation, fill placement) Change in soil properties (fill replacement).
This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal point delays.
In some of the previous literature, such as Refs. [5 7, 10, 12], they established some complex models with either no time delay or only single time delay ({x_{i}}(t - tau)), which is significantly different from complex systems of real world.
On the basis of the T-LOTOS language, a language called TTL has been developed, which adds new constructs and tools to the high expressiveness of the original language, thus making it suitable for the specification of hardware and software systems of real complexity.
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But a Lie group is also a smooth manifold, as described in the supplement A Modern Formulation of Riemann's Theory: the set G can be represented patchwise by systems of real-valued (or alternatively complex-valued) coordinates, mutually linked by well-defined, differentiable coordinate transformations wherever their respective patches overlap.
Two systems of real-time assays are widely used for the detection of RABV and lyssaviruses: the SYBR Green real-time RT-PCR and the TaqMan real-time RT-PCR, which is to date the most common technique implemented in the laboratories working on rabies [ 17].
"The whole system of real estate agencies and commissions may be changed," he wrote.
We believe in a system of real justice so fervently that we agitate for everyone to recognize its promise.
A Civil Justice Council report on self-represented litigants last year said that those going before the courts without lawyers faced a system of "real quality" but "one designed for lawyers" and which was "far too complex and obscure for those representing themselves".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com