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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.
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On the sphere, the cut locus of a point consists of the single antipodal point diametrically opposite to it. On an infinitely long cylinder, the cut locus of a point consists of the line opposite the point. Let X be the boundary of a simple polygon in the Euclidean plane. Then the cut locus of X in the interior of the polygon is the polygon's ...
In analytic geometry, any equation involving the coordinates specifies a subset of the plane, namely the solution set for the equation, or locus. For example, the equation y = x corresponds to the set of all the points on the plane whose x-coordinate and y-coordinate are equal.
In genetics, a locus (pl.: loci) is a specific, fixed position on a chromosome where a particular gene or genetic marker is located. [1] Each chromosome carries many genes, with each gene occupying a different position or locus; in humans, the total number of protein-coding genes in a complete haploid set of 23 chromosomes is estimated at ...
The set of exceptional points on is called the ramification locus (i.e. this is the complement of the largest possible open set ′). In general monodromy occurs according to the fundamental group of W ′ {\displaystyle W'} acting on the sheets of the covering (this topological picture can be made precise also in the case of a general base field).
The words homozygous, heterozygous, and hemizygous are used to describe the genotype of a diploid organism at a single locus on the DNA. Homozygous describes a genotype consisting of two identical alleles at a given locus, heterozygous describes a genotype consisting of two different alleles at a locus, hemizygous describes a genotype consisting of only a single copy of a particular gene in an ...
For example, the definition of elliptic curve from algebraic geometry is connected non-singular projective curve of genus 1 with a given rational point on it. By the Riemann–Roch theorem , an irreducible plane curve of degree d {\displaystyle d} given by the vanishing locus of a section s ∈ Γ ( P 2 , O P 2 ( d ) ) {\displaystyle s\in ...
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