Here, in Theorems 2-9, we use the Bernoulli basis in order to express certain polynomials as linear combinations of that basis and hence to get some new and interesting polynomial identities.
The set of basis functions used to express the KS orbital is of key importance for the nature of the computational operations that have to be performed.
The strength of the GUHA method is its logical basis, the formalism to express statements in first-order monadic logic with generalized quantifiers and truth and falsehood of the sentences being defined in finite models.
In Q methodology participants are recruited on the basis of their ability to express informed views on the research topic, rather than their statistical representativeness [ 18].
On the basis of the ability to express light-gated ChR2 in HEK293 and BHK cells, it was also proposed for neuronal cells that expression of ChR2 might allow depolarization of the cells by illumination.
Morphological differences caused by phenotypic plasticity are traditionally not considered character displacement, since they do not have a genetic basis (although the tendency to express different phenotypes in varying environmental conditions can be determined genetically) and thus cannot be inherited (criterion 6).
Since the eigenvectors are orthogonal to one another, they form a basis and can be used to express an arbitrary vector in the following (A4 Since for and for.
On an item-by-item basis each participant was asked to express the item in his or her own words which also provided interpretations for items that were problematic in translation.
The basis of the theory is to express the cell formation energy as a set of dislocation partials, which is equated to the energy of the dislocation forest in the non-cellular material plus the dislocation slip energy to form cellular structures.
True, the ethical egoist is unlikely to recommend ethical egoism to others, to blame others for violations of what ethical egoism requires, to justify herself to others on the basis of ethical egoism, or to express moral attitudes such as forgiveness and resentment.
