Division of something into two equal or congruent parts
Not to be confused with Dissection.
For the bisection theorem in measure theory, see Ham sandwich theorem. For the root-finding method, see Bisection method. For other uses, see Bisect (disambiguation).
Line DE bisects line AB at D, line EF is a perpendicular bisector of segment AD at C, and line EF is the interior bisector of right angle AED
In geometry, bisection is the division of something into two equal or congruent parts (having the same shape and size). Usually it involves a bisecting line, also called a bisector. The most often considered types of bisectors are the segment bisector, a line that passes through the midpoint of a given segment, and the angle bisector, a line that passes through the apex of an angle (that divides it into two equal angles).
In three-dimensional space, bisection is usually done by a bisecting plane, also called the bisector.
geometry, bisection is the division of something into two equal or congruent parts (having the same shape and size). Usually it involves a bisecting line,...
(music), a half octave in diatonic set theory Bisection (software engineering), for finding code changes bisection of earthworms to study regeneration This...
The bisection method The Wikibook Numerical Methods has a page on the topic of: Equation Solving Weisstein, Eric W. "Bisection". MathWorld. Bisection Method...
between the two partitions. Bisection should be done in such a way that the bandwidth between two partitions is minimum. Bisection bandwidth gives the true...
bisection or by using multiple eigenvectors corresponding to the smallest eigenvalues. The examples in Figures 1,2 illustrate the spectral bisection approach...
Bisects and splits refer to postage stamps that have been cut in part, most commonly in half, but also other fractions, and postally used for the proportionate...
Perpendicular bisector construction can refer to: Bisection § Line segment bisector, on the construction of the perpendicular bisector of a line segment...
classes. Generalizations of newest vertex bisection to dimension three and higher are known. Newest vertex bisection is used in local mesh refinement for adaptive...
AB_{2}C_{2}} with bisector A D 2 {\displaystyle AD_{2}} . The fact that the bisection-produced angles ∠ B A D {\displaystyle \angle BAD} and ∠ C A D {\displaystyle...
method of bisection avoids this hypothetical convergence problem. Though regula falsi always converges, usually considerably faster than bisection, there...
neighbor interchange (NNI) Subtree pruning and regrafting (SPR) Tree bisection and reconnection (TBR) The simplest tree-rearrangement, known as nearest-neighbor...
length. Two pairs of opposite angles are equal in measure. The diagonals bisect each other. One pair of opposite sides is parallel and equal in length....
general forms of the ham sandwich theorem. Both versions concern the bisection of n subsets X1, X2, ..., Xn of a common set X, where X has a Carathéodory...
performance of the bisection method. It is also the first method with guaranteed average performance strictly better than the bisection method under any...
bisectors. The center of an excircle is the intersection of the internal bisector of one angle (at vertex A, for example) and the external bisectors of...
Illustration Example Vertical bisection (per pale) Flag of Algeria Horizontal bisection (per fess) Flag of Indonesia Diagonal bisection (per bend) Flag of Papua...
whole number of hours. A nautical date line follows the 180th meridian, bisecting one 15° gore into two 7.5° gores that differ from GMT by ±12 hours. However...
and there is varying topography along its rivers; the Illinois River bisects the state northeast to southwest. The floodplain on the Mississippi River...
geographically diverse states in the union and is often geographically bisected into two regions, Southern California, comprising the ten southernmost...
Because of this construction, the Nagel point is sometimes also called the bisected perimeter point, and the segments ATA, BTB, CTC are called the triangle's...
of the mechanisms needed to establish a proof of this factorization. A bisection of a free monoid is a factorisation with just two classes X0, X1. Examples:...
the bisection of ∠ B A C {\displaystyle \angle {BAC}} and B C ¯ {\displaystyle {\overline {BC}}} meet at D {\displaystyle D} , and the bisection of ∠...
Every isosceles triangle has an axis of symmetry along the perpendicular bisector of its base. The two angles opposite the legs are equal and are always...
do Bananal, IPA: [banaˈnaw]) is a large river island formed from the bisection of the Araguaia River, in southwestern Tocantins, Brazil. The island is...
An angle bisector of a triangle is a straight line through a vertex which cuts the corresponding angle in half. The three angle bisectors intersect in...
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