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The great question of the century, which confronted serious writers from Donne to Dryden, was Michel de Montaigne's "What do I know?" or, in expanded terms, the ascertainment of the grounds and relations of knowledge, faith, reason, and authority in religion, metaphysics, ethics, politics, economics, and natural science.
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Over-represented Gene Ontology terms in expanded families also show species-specific adaptations (Fig. 2).
In this contribution we present a four-dimensional (4-D) model of the electron density consisting of a given reference part, i.e., the International Reference Ionosphere (IRI), and an unknown correction term expanded in terms of multi-dimensional base functions.
Detainees were next moved to Camp Delta in a remote section of the base for longer term detention in expanded numbers.
The potential and the density in the interstitial region are expanded in terms of plane waves while inside the muffin-tin sphere they are expanded in terms of spherical harmonics.
In so doing, the components of displacement vector and traction tensor in the physical domain are expanded in terms of a set of expansion coefficients in the Hankel Fourier transformed domain.
Another benchmark proposed by Kausel and Roesset contributes an alternative, in which the dynamic stiffness matrix is expanded in terms of wave number and approximated by taking terms only up to the second order of the wave number.
The velocity potential is expanded in terms of harmonic functions which satisfy the Laplace equation term by term.
In this paper, these distributions are expanded in terms of finite series of known functions of the spatial variables multiplied by undetermined coefficients.
In education, such surveys were first conducted in the 1960s and have since then expanded in terms of investigated domains, included countries, and observed populations.
An assumed-time-modes method in which the dependent variables of the dynamics problem are expanded in terms of admissible basis functions in time is extended to include a similar representation of the control inputs.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com