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Furthermore, the space of such integrable distributions is a Banach space and has many basic properties; see [5, 12].
In this way, many basic properties of singular problems can be inferred from the corresponding regular ones.
While a complete closed form solution for the particle distribution in phase space is not possible, many basic properties of the distribution were proved.
For example, it implies that the quantified version of the principle of the excluded middle is false: This example showing that the principle of the excluded middle not only does not hold but is in fact false in intuitionism, leads to the refutation of many basic properties of the continuum.
These progenitor cells could be identified in clonal assays and used to establish SCF-dependent multipotential definitive hematopoietic progenitor cell (HPC) lines sharing many basic properties with normal early fetal HSCs [41] [43].
In brief, the short-sequence patterns are responsible for many basic properties of the human genome and show large differences in different isochore families.
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The pathway controls a cascade of signals that regulates many basic cellular properties, including proliferation, survival, motility, and angiogenesis.
As one would expect, since a fractional derivative is a generalization of an ordinary derivative, it is going to lose many of its basic properties.
We show that on a separable Hilbert space there are non-trivial examples of such operators and establish many of their basic properties.
Although many of the basic properties of D2S and D2L receptor-dependent currents were similar, there were some differences that suggest both D2S and D2L are autoreceptors in wild type dopamine neurons.
However, there are still many unknowns about the basic properties needed to be explored urgently, which are very important and necessary for the devices design and application.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com