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The no-three-in-line drawing of a complete graph is a special case of this result with =. [12] The no-three-in-line problem also has applications to another problem in discrete geometry, the Heilbronn triangle problem. In this problem, one must place points, anywhere in a unit square, not restricted to a grid. The goal of the placement is to ...
A transversal in a Latin square is a choice of n cells, where each row contains one cell, each column contains one cell, and there is one cell containing each symbol. One can consider a Latin square as a complete bipartite graph in which the rows are vertices of one part, the columns are vertices of the other part, each cell is an edge (between ...
One possible arrangement of rooks on an 8 × 8 chessboard, where no two pieces share a row or column. In combinatorial mathematics , a rook polynomial is a generating polynomial of the number of ways to place non-attacking rooks on a board that looks like a checkerboard ; that is, no two rooks may be in the same row or column.
Project row points onto the line connecting the origin and the standard coordinate of a column; if the projected position along that connection line is close to the position of the standard coordinate, that row point is strongly associated with this column i.e. in case of count data the row has a high frequency of that category and in case of ...
A Coulter counter is an appliance that can count cells as well as measure their volume. It is based on the fact that cells show great electrical resistance; in other words, they conduct almost no electricity. In a Coulter counter the cells, swimming in a solution that conducts electricity, are sucked one by one into a tiny gap.
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Is red wine good for your heart?. A cardiovascular surgeon in Savannah, Georgia, has some definite thoughts about the matter. "In a nutshell, red wine is not good for your heart," Dr. Jeremy ...
The birth rate in America has long been on a decline, with the fertility rate reaching historic lows in 2023. More women between ages 25 to 44 aren’t having children, for a number of reasons.