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The zigzag product was introduced by Reingold, Vadhan & Wigderson (2000). When the zig-zag product was first introduced, it was used for the explicit construction of constant degree expanders and extractors. Later on, the zig-zag product was used in computational complexity theory to prove that symmetric logspace and logspace are equal ...
Line chart showing the population of the town of Pushkin, Saint Petersburg from 1800 to 2010, measured at various intervals. A line chart or line graph, also known as curve chart, [1] is a type of chart that displays information as a series of data points called 'markers' connected by straight line segments. [2]
In cartography, a contour line (often just called a "contour") joins points of equal elevation (height) above a given level, such as mean sea level. [3] A contour map is a map illustrated with contour lines, for example a topographic map , which thus shows valleys and hills, and the steepness or gentleness of slopes. [ 4 ]
Therefore, a zig-zag product can also be used to construct families of expander graphs. If G is a ( n , d , λ 1 ) -graph and H is an ( m , d , λ 2 ) -graph, then the zig-zag product G H is a ( nm , d 2 , φ ( λ 1 , λ 2 )) -graph where φ has the following properties.
A simple run chart showing data collected over time. The median of the observed data (73) is also shown on the chart. A run chart, also known as a run-sequence plot is a graph that displays observed data in a time sequence. Often, the data displayed represent some aspect of the output or performance of a manufacturing or other business process.
A 2-metre carpenter's ruler with centimetre divisions Road sign warning for upcoming zigzag turn. A seismograph showing zigzag lines. The trace of a triangle wave or a sawtooth wave is a zigzag. Pinking shears are designed to cut cloth or paper with a zigzag edge, to lessen fraying. [2] In sewing, a zigzag stitch is a machine stitch in a zigzag ...
UPST earnings call for the period ending December 31, 2024. ... The team developing our small dollar relief loans continued their amazing run with more than 100% sequential growth in loan volume ...
Very complex graph: the psychrometric chart, relating temperature, pressure, humidity, and other quantities. Non-rectangular coordinates: the above all use two-dimensional rectangular coordinates ; an example of a graph using polar coordinates , sometimes in three dimensions, is the antenna radiation pattern chart, which represents the power ...