Search results
Results From The WOW.Com Content Network
A zero-crossing in a line graph of a waveform representing voltage over time. A zero-crossing is a point where the sign of a mathematical function changes (e.g. from positive to negative), represented by an intercept of the axis (zero value) in the graph of the function.
Find a topological ordering of the given DAG. For each vertex v of the DAG, in the topological ordering, compute the length of the longest path ending at v by looking at its incoming neighbors and adding one to the maximum length recorded for those neighbors. If v has no incoming neighbors, set the length of the longest path ending at v to zero ...
A drawing of the Heawood graph with three crossings. This is the minimum number of crossings among all drawings of this graph, so the graph has crossing number cr(G) = 3.. In graph theory, the crossing number cr(G) of a graph G is the lowest number of edge crossings of a plane drawing of the graph G.
According to Logan, a signal is uniquely reconstructible from its zero crossings if: The signal x ( t ) and its Hilbert transform x t have no zeros in common with each other. The frequency-domain representation of the signal is at most 1 octave long, in other words, it is bandpass - limited between some frequencies B and 2 B .
It is used for detecting the zero crossings of AC signals. It can be made from an operational amplifier with an input voltage at its positive input (see circuit diagram) [ clarification needed ] . When the input voltage is positive, the output voltage is a positive value; when the input voltage is negative, the output voltage is a negative value.
Turán's formulation of this problem is often recognized as one of the first studies of the crossing numbers of graphs. [4] Another independent formulation of the same concept occurred in sociology, in methods for drawing sociograms , [ 5 ] and a much older puzzle, the three utilities problem , can be seen as a special case of the brick factory ...
Crossing Numbers of Graphs is a book in mathematics, on the minimum number of edge crossings needed in graph drawings. It was written by Marcus Schaefer, a professor of computer science at DePaul University , and published in 2018 by the CRC Press in their book series Discrete Mathematics and its Applications.
An illustration of Newton's method. In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function.