Dirac's formal framework for quantum mechanics was very useful and influential despite its lack of mathematical rigor.
But their respective approaches required essential use of delta functions, which were suspect from the standpoint of mathematical rigor.
Descriptors for branched polymers and their uses for predicting gyration ratios and chain dynamics are described with mathematical rigor in Chapter 6. Chapter 7 presents methods for evaluating quantitatively structural similarity Various clustering methods are also reviewed in this chapter by Irene Luque-Ruiz, G. Ceruela-Garcìa and M. A. Gómez-Nieto.
Recent work in this area has focused on using contact networks to describe disease transmission [12], [14] [16]; using data to develop models closely tailored to individual vaccines and infections [8], [13]; and introducing new mathematical techniques, greater mathematical rigor, or studying different types of disease natural histories [7], [11], [17], [18].
This result appeared in physics [12, 26, 47] and is now supported by full mathematical rigor (see [48], Chap. 6, for the general setting and [49], Sect. 4 for the full proof); we shall use the same methods to derive non-Euclidean pinwheel densities in Sect.
With a certain mathematical rigor (Weil, originally a teacher of philosophy, was well versed in mathematics and physics), she travels a sweeping via negativa to arrive back at traditional Christian assertions.
"He brought a degree of mathematical rigor to the field".
All steps and gestures were articulated with almost mathematical rigor.
But some scientists are now bringing mathematical rigor to the tipping-point argument.
A map, on the other hand, turns the mathematical rigor into a simple chart.
