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The vertical line test, shown graphically. The abscissa shows the domain of the (to be tested) function. In mathematics, the vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.
The points of the design are the points of the plane, and the blocks of the design are the lines of the plane. [14] As such it is a valuable example in (block) design theory. With the points labelled 0, 1, 2, ..., 6 the lines (as point sets) are the translates of the (7, 3, 1) planar difference set given by {0, 1, 3} in the group Z / 7Z. [14]
p2mm: TRHVG (translation, 180° rotation, horizontal line reflection, vertical line reflection, and glide reflection) Formally, a frieze group is a class of infinite discrete symmetry groups of patterns on a strip (infinitely wide rectangle), hence a class of groups of isometries of the plane, or of a strip.
Another use of line in graphics is the ability to help suggest a tone or feeling in a work. Vertical lines can be used to create a sense of strength or stability. An example of this could be a row of trees in a picture creating a series of vertical lines. Horizontal lines can be used to create a feeling of calm, peace or passiveness.
Type F lines are Type E lines, except these are used for drawings in electrotechnology. 2H pencil; Type G lines are used for centre lines. These are dotted lines, but a long line of 10–20 mm, then a 1 mm gap, then a small line of 2 mm. 2H pencil; Type H lines are the same as type G, except that every second long line is thicker. These ...
For each pair of lines, there can be only one cell where the two lines meet at the bottom vertex, so the number of downward-bounded cells is at most the number of pairs of lines, () /. Adding the unbounded and bounded cells, the total number of cells in an arrangement can be at most n ( n + 1 ) / 2 + 1 {\displaystyle n(n+1)/2+1} . [ 5 ]
The line joining two self-conjugate points cannot be a self-conjugate line. A line cannot contain more than two self-conjugate points. A polarity induces an involution of conjugate points on any line that is not self-conjugate. A triangle in which each vertex is the pole of the opposite side is called a self-polar triangle.
Animation of Fortune's algorithm, a sweep line technique for constructing Voronoi diagrams. In computational geometry, a sweep line algorithm or plane sweep algorithm is an algorithmic paradigm that uses a conceptual sweep line or sweep surface to solve various problems in Euclidean space. It is one of the critical techniques in computational ...
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