This section is concerned with presenting two applications for the linearization formulas which derived in Sections 3 and 4. In the first application, some new identities of definite integrals involving products of certain Jacobi polynomials are given.
His view, which derived in part from Francis Bacon, has many parallels with that of his fellow experimenter Robert Hooke and this Bacon-Boyle-Hooke philosophy of experiment came to exert great influence on the development of natural philosophy in the late seventeenth century (Anstey 2014).
The critique, although by no means unperceptive, has an edge to it which derives in large part from the satisfaction Lewis so obviously took in not being grateful.
This latter aspect of early 15th-century Florentine painting relies in great part on the invention of the one-point perspective system, which derives in turn from the new learning and the new vision of the world.
This discrepancy is due to the Combined Kaldi system has a larger vocabulary than the Syn-Syll Comb system, which derives in a smaller out-of-vocabulary rate (defined as the number of terms in the MAVIR INV test term list that do not appear in the LVCSR system vocabulary), as shown in Table 12.
U.S. global leadership is based not only on our military clout or economic power, but on our moral stature, which derives in large measure from helping others improve their lives and those of their communities and societies.
3 As they soon discovered, although the sedition laws in England have their source in an Act of Parliament from 1661, some of their provisions were still intact in the mid-1970s, and the Treason Act in the US Constitution, which derives in part from them, is very much with us today.
3 As they soon discovered, although the sedition laws in England have their source in an Act of Parliament from 1661, some of their provisions were still intact in the mid-1970s, and the Treason Act in the US Constitution, which derives in part from them, is very much with us today.
The finding of NO2 stability over time may be applicable to traffic-related constituents such as Cu, Fe, and Zn, whereas there is no quantitative evidence for the other constituents, which derive in part from other sources.
Other newly formed Azorean islands were then colonized by lineages that originally diversified in Santa Maria but for which derived haplotypes survived in those islands and not in Santa Maria.
In 1998, the company -- which derived only $135 million in sales from products containing asbestos -- signed a national settlement with more than 50 law firms.
