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Minimum distance information


The term minimum distance may refer to

  • Minimum distance estimation, a statistical method for fitting a model to data
  • Closest pair of points problem, the algorithmic problem of finding two points that have the minimum distance among a larger set of points
  • Euclidean distance, the minimum length of any curve between two points in the plane
  • Shortest path problem, the minimum length of a path between two points in a graph
  • The minimum distance of a block code in coding theory, the smallest Hamming distance between any two of its code words

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Minimum distance

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The term minimum distance may refer to Minimum distance estimation, a statistical method for fitting a model to data Closest pair of points problem, the...

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Hamming distance

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Hamming distance of the strings is equivalent to the Manhattan distance between the vertices. The minimum Hamming distance or minimum distance (usually...

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Decoding methods

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Minimum distance decoding is also known as nearest neighbour decoding. It can be assisted or automated by using a standard array. Minimum distance decoding...

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Levenshtein distance

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Levenshtein distance is a string metric for measuring the difference between two sequences. The Levenshtein distance between two words is the minimum number...

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Minimum orbit intersection distance

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Minimum orbit intersection distance (MOID) is a measure used in astronomy to assess potential close approaches and collision risks between astronomical...

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Edit distance

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is measured by counting the minimum number of operations required to transform one string into the other. Edit distances find applications in natural...

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Error detection and correction

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error detection. A code with minimum Hamming distance, d, can detect up to d − 1 errors in a code word. Using minimum-distance-based error-correcting codes...

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Hamming code

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achieve the highest possible rate for codes with their block length and minimum distance of three. Richard W. Hamming invented Hamming codes in 1950 as a way...

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Apsis

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{(1+e)\mu }{(1-e)a}}}\,} , at minimum (pericenter) distance, r per = ( 1 − e ) a {\textstyle r_{\text{per}}=(1-e)a} . Apocenter Minimum speed, v ap = ( 1 − e...

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Mahalanobis distance

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and therefore produces different Mahalanobis distances. The Minimum Covariance Determinant and Minimum Volume Ellipsoid approaches are more robust to...

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Singleton bound

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and minimum distance d {\displaystyle d} . It is also known as the Joshibound. proved by Joshi (1958) and even earlier by Komamiya (1953). The minimum distance...

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Distance between two parallel lines

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The distance between two parallel lines in the plane is the minimum distance between any two points. Because the lines are parallel, the perpendicular...

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Geographical centre of Earth

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surface which approximates the Earth's outer shape. The term centre of minimum distance specifies the concept more precisely as the domain is the sphere surface...

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Maximum and minimum

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x in X within distance ε of x∗. Similarly, the function has a local minimum point at x∗, if f(x∗) ≤ f(x) for all x in X within distance ε of x∗. A similar...

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Europlug

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with centres spaced 19 mm apart. The minimum distance between the holes is thus 14.2 mm, while the minimum distance between the converged pins on the Europlug...

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Box plot

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on the five-number summary: the minimum, the maximum, the sample median, and the first and third quartiles. Minimum (Q0 or 0th percentile): the lowest...

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Topographic isolation

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The topographic isolation of a summit is the minimum distance to a point of equal elevation, representing a radius of dominance in which the peak is the...

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Diehard tests

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certain normal distribution. Minimum distance test Randomly place 8000 points in a 10000×10000 square, then find the minimum distance between the pairs. The...

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