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Components of the calculation of the Hausdorff distance between the green curve X and the blue curve Y.. Let (,) be a metric space.For each pair of non-empty subsets and , the Hausdorff distance between and is defined as
In the field of pharmacokinetics, the area under the curve (AUC) is the definite integral of the concentration of a drug in blood plasma as a function of time (this can be done using liquid chromatography–mass spectrometry [1]).
The union of two intervals is an interval if and only if they have a non-empty intersection or an open end-point of one interval is a closed end-point of the other, for example (,) [,] = (,]. If R {\displaystyle \mathbb {R} } is viewed as a metric space , its open balls are the open bounded intervals ( c + r , c − r ) , and its closed balls ...
The distance (or perpendicular distance) from a point to a line is the shortest distance from a fixed point to any point on a fixed infinite line in Euclidean geometry.It is the length of the line segment which joins the point to the line and is perpendicular to the line.
The cell culture is placed in a transparent cuvette and the absorption is measured relative to medium alone. Optical density (OD) is directly proportional to the biomass in the cell suspension in a given range that is specific to the cell type. Using spectrophotometry for measuring the turbidity of cultures is known as turbidometry.
When two cells in the Voronoi diagram share a boundary, it is a line segment, ray, or line, consisting of all the points in the plane that are equidistant to their two nearest sites. The vertices of the diagram, where three or more of these boundaries meet, are the points that have three or more equally distant nearest sites.
The first symptoms of kidney failure are silent. Failing kidneys can’t remove extra fluid from the body, nor can they filter molecules like urea, which can be toxic in high dosages, from the blood.
Range (statistics), the difference between the highest and the lowest values in a set; Interval (mathematics), also called range, a set of real numbers that includes all numbers between any two numbers in the set; Column space, also called the range of a matrix, is the set of all possible linear combinations of the column vectors of the matrix