| slovo | definícia |
euclidean
(encz) | euclidean,euklidovský adj: Zdeněk Brož |
euclidean
(wn) | euclidean
adj 1: relating to geometry as developed by Euclid; "Euclidian
geometry" [syn: euclidian, euclidean] |
| | podobné slovo | definícia |
euclidean geometry
(encz) | Euclidean geometry, |
euclidean inner product
(encz) | Euclidean inner product,skalární součin n: [mat.] |
euclidean space
(encz) | Euclidean space, |
non-euclidean geometry
(encz) | non-Euclidean geometry, n: |
euclidean axiom
(wn) | Euclidean axiom
n 1: (mathematics) any of five axioms that are generally
recognized as the basis for Euclidean geometry [syn:
Euclid's axiom, Euclid's postulate, Euclidean axiom] |
euclidean geometry
(wn) | Euclidean geometry
n 1: (mathematics) geometry based on Euclid's axioms [syn:
elementary geometry, parabolic geometry, {Euclidean
geometry}] |
euclidean space
(wn) | Euclidean space
n 1: a space in which Euclid's axioms and definitions apply; a
metric space that is linear and finite-dimensional |
non-euclidean geometry
(wn) | non-Euclidean geometry
n 1: (mathematics) geometry based on axioms different from
Euclid's; "non-Euclidean geometries discard or replace one
or more of the Euclidean axioms" |
euclidean algorithm
(foldoc) | Euclid's Algorithm
Euclidean Algorithm
(Or "Euclidean Algorithm") An algorithm for
finding the greatest common divisor (GCD) of two numbers.
It relies on the identity
gcd(a, b) = gcd(a-b, b)
To find the GCD of two numbers by this algorithm, repeatedly
replace the larger by subtracting the smaller from it until
the two numbers are equal. E.g. 132, 168 -> 132, 36 -> 96, 36
-> 60, 36 -> 24, 36 -> 24, 12 -> 12, 12 so the GCD of 132 and
168 is 12.
This algorithm requires only subtraction and comparison
operations but can take a number of steps proportional to the
difference between the initial numbers (e.g. gcd(1, 1001) will
take 1000 steps).
(1997-06-30)
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euclidean norm
(foldoc) | Euclidean norm
The most common norm, calculated by summing
the squares of all coordinates and taking the square root.
This is the essence of Pythagoras's theorem. In the
infinite-dimensional case, the sum is infinite or is replaced
with an integral when the number of dimensions is
uncountable.
(2004-02-15)
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