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Another important advantage of having a formula for (mathbf {D}) in a basis is that we do not need to change the basis often to the monomial basis— to differentiate P x).
The comparison was carried out using a commercially available AIV NP ELISA that provides the basis to differentiate between birds vaccinated with an NDV-based vector (which would not stimulate antibodies against HPAIV NP) and infected birds (in which an NP-specific response would occur).
Doing so assured that the relative production rate of each storage compound and not the total production rate was the basis to differentiate the applicability of each objective function.
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Such a system could, for example, provide a basis on which to differentiate an eco-tax according to the environmental threats posed by each product, and thus improve policy effectiveness.
Potential targets were evaluated on the basis of shape to differentiate cell bodies from auto-fluorescent debris, and to reject the fluorescence from dendrites and neuropil whose somata were detectable in adjacent focal planes (Wang et al., 2013).
Subsequently, a logical possibility is that the microorganisms encountered by the host on a regular basis may serve to differentiate and continually renew a pool of memory-like macrophages that have enhanced responses to an infectious challenge.
The most important advantage of having (mathbf {D}) explicitly is that there is no need to go from one basis to another (normally monomial) to differentiate a polynomial in a given basis.
This corresponds with Reichheld and Sasser's [72] description of service quality as a basis for cloud providers to differentiate themselves and coincides with Parasuraman and Grewal's findings that this component would make it challenging for providers to emulate their competitor's service quality.
Moreover, MSCs were recently proposed as a new treatment option for osteoarthritis on the basis of their ability to differentiate into chondrocytes as well as the paracrine effects of their secreted bioactive materials (Barry and Murphy 2013; Beris et al. 2005; Caplan and Dennis 2006; Galois et al. 2005; Oreffo et al. 2005).
MSCs are identified primarily on the basis of their ability to differentiate under specific culture conditions into various mesodermal cell types including osteoblasts, chondrocytes and adipocytes.
By contrast, the texture features in the analysis presented here were selected on the basis of their ability to differentiate between the mammograms of breast cancer patients and healthy controls, resulting in a mathematical model that may not be easily anticipated by the human brain or its visual functions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com