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Each curve in this example is a locus defined as the conchoid of the point P and the line l.In this example, P is 8 cm from l. In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.
Additional Mathematics is a qualification in mathematics, commonly taken by students in high-school (or GCSE exam takers in the United Kingdom). It features a range of problems set out in a different format and wider content to the standard Mathematics at the same level.
A heatmap showing the linkage disequilibrium between genetic loci, detected using the GAM method. More robust visualization options are also available, like the textile plot. In a textile plot, combinations of alleles at a certain loci can be linked with combinations of alleles at a different loci.
A hypervariable region (HVR) is a location within a sequence where polymorphisms frequently occur. It is used in two contexts: In the case of nucleic acids, an HVR is where base pairs frequently change.
Spirule. In control theory and stability theory, root locus analysis is a graphical method for examining how the roots of a system change with variation of a certain system parameter, commonly a gain within a feedback system.
This special case of Apollonius' problem is also known as the four coins problem. [47] The three given circles of this Apollonius problem form a Steiner chain tangent to the two Soddy's circles. Figure 12: The two solutions (red) to Apollonius' problem with mutually tangent given circles (black), labeled by their curvatures.
Surfaces naturally arise as graphs of functions of a pair of variables, and sometimes appear in parametric form or as loci associated to space curves. An important role in their study has been played by Lie groups (in the spirit of the Erlangen program ), namely the symmetry groups of the Euclidean plane , the sphere and the hyperbolic plane .
The method of loci is a strategy for memory enhancement, which uses visualizations of familiar spatial environments in order to enhance the recall of information. The method of loci is also known as the memory journey , memory palace , journey method , memory spaces , or mind palace technique .