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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.
It has traditionally been a requirement of equity that no relief can be granted unless there is irreparable injury. This requirement, commonly called the "irreparable injury rule", has been the subject of sustained academic criticism, especially by remedies scholar Douglas Laycock, who has argued at length that the rule does not actually explain the decisions of courts in the United States. [2]
Locus (mathematics), the set of points satisfying a particular condition, often forming a curve; Root locus analysis, a diagram visualizing the position of roots as a parameter changes; Locus (archaeology), the smallest definable unit in stratigraphy; Locus (genetics), the position of a gene or other significant sequence on a chromosome
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 ...
The support of the quasicoherent sheaf / is called the ramification locus of and the image of the ramification locus, ( /), is called the branch locus of . If Ω X / Y = 0 {\displaystyle \Omega _{X/Y}=0} we say that f {\displaystyle f} is formally unramified and if f {\displaystyle f} is also of locally finite presentation we say that f ...
He recognized that the official definition of PTSD failed to describe their mental anguish, leading him to coin the term “moral injury.” The ideals taught at Parris Island “are the best of what human beings can do,” said William P. Nash, a retired Navy psychiatrist who deployed with Marines to Iraq as a combat therapist.
The evolute of a curve (blue parabola) is the locus of all its centers of curvature (red). The evolute of a curve (in this case, an ellipse) is the envelope of its normals. In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. That is to say that when the center of curvature of each point ...
Billy Crystal says there’s a moment from When Harry Met Sally that fans have been quoting back to him lately — and no, it’s not the obvious one.. The movie's memorable Katz’s Deli scene ...