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Consider two overlapping rings, or annuli, of different centres. If they overlap at right angles, the greatest extent of the overlap is much smaller than if they overlap in near parallel. Thus a low DOP value represents a better positional precision due to the wider angular separation between the satellites used to calculate a unit's position.
Mathematically, the duality between position and momentum is an example of Pontryagin duality. In particular, if a function is given in position space, f(r), then its Fourier transform obtains the function in momentum space, φ(p). Conversely, the inverse Fourier transform of a momentum space function is a position space function.
The quantum wave equation can be solved using functions of position, (), or using functions of momentum, () and consequently the superposition of momentum functions are also solutions: = + The position and momentum solutions are related by a linear transformation, a Fourier transformation. This transformation is itself a quantum superposition ...
Data references from position-independent code are usually made indirectly, through Global Offset Tables (GOTs), which store the addresses of all accessed global variables. There is one GOT per compilation unit or object module, and it is located at a fixed offset from the code (although this offset is not known until the library is linked).
In every step they ensure that (1) the text is placed in a way that the reader easily associates it with the feature, and (2) the label does not overlap with those already placed on the map. However, if a particular label placement problem can be formulated as a mathematical optimization problem, using mathematics to solve the problem is ...
Precise positioning is increasingly used in the fields including robotics, autonomous navigation, agriculture, construction, and mining. [2]The major weaknesses of PPP, compared with conventional consumer GNSS methods, are that it takes more processing power, it requires an outside ephemeris correction stream, and it takes some time (up to tens of minutes) to converge to full accuracy.
Force-directed graph drawing algorithms assign forces among the set of edges and the set of nodes of a graph drawing.Typically, spring-like attractive forces based on Hooke's law are used to attract pairs of endpoints of the graph's edges towards each other, while simultaneously repulsive forces like those of electrically charged particles based on Coulomb's law are used to separate all pairs ...
Z-fighting which cannot be entirely eliminated in this manner is often resolved by the use of a stencil buffer, or by applying a post-transformation screen space z-buffer offset to one polygon which does not affect the projected shape on screen but does affect the z-buffer value to eliminate the overlap during pixel interpolation and comparison ...