Applying analytic methods to partial differential equations (PDE's) allows researchers to study the evolution of a system that is changing in a manner governed by precise constraints (the differential equations in the name); PDE's may be used to represent many important problems in the physical world, relating for example to diffusion of heat, fluid flow, or quantum mechanics.
Past hydrological modelling used for the bund design provided a large range of discharge estimates but lacked precise constraints on the size and nature of lahars from eruption and lake-breakout events.
Analysis of the harmonics, described in two accompanying papers4,5, provides the vertical profile of the winds and precise constraints for the depth of Jupiter's dynamical atmosphere.
Uncertainty in the absolute mass scale of clusters remains the fundamental impediment to precise constraints on cosmology from cluster observations.
Modern geochronological methods such as uranium lead (U Pb) and argon argon (Ar Ar) provide precise constraints on the ages of igneous, metamorphic, and sedimentary sequences.
In the present study, we determined the precise constraints of the FL motif required for basolateral targeting of NBC1 by expressing epitope-tagged wild-type and mutant NBC1 in MDCK cells and RNA-injected Xenopus oocytes and examining their subcellular localization.
Since the shape and position of the ventricles changes across the multiple slices in a full CT scan, if the position of the current slice in the sequence is known then more precise constraints can be used.
Our main objective was to examine correlations between patterns of gene loss (at different depths of the tree) and the functional importance of genes, in order to measure if losses, particularly in the initial stages of symbiosis could have been limited by rather precise constraints [ 7].
Second, it aims to identify some of the main theoretical options that natural law theorists face in formulating a precise view within the constraints set by these defining features and some of the difficulties for each of these options.
Based on geometric constraints, we propose a precise 3D manipulation approach to improve intuitive interaction and accurate 3D positioning of fixture components in virtual space.
The physics goals of many high energy experiments require a precise determination of decay vertices, imposing severe constraints on vertex detectors (readout speed, granularity, material budget,…).
