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# REDIRECT Complex number
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# Complex projective space CP < sup > n </ sup > admits a homogeneous Kähler metric, the Fubini-Study metric.
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# and Euclidean
# REDIRECT Euclidean algorithm
# REDIRECT Euclidean geometry
Right: The reduction in flux passing through a surface can be visualized by reduction in F or dS equivalently ( resolved into Euclidean vector # Decomposition | components, θ is angle to normal n ).
# Give the answer as a fraction representing a rational number, so the result of the division of 26 by 11 is But, usually, the resulting fraction should be simplified: the result of the division of 52 by 22 is also This simplification may be done by factoring out the greatest common divisor computed by mean of Euclidean algorithm.
# Give the answer as an integer quotient and a remainder, so To make the distinction with the previous case, this division, with two integers as result, is sometimes called Euclidean division, because it is the basis of Euclidean algorithm.
# REDIRECT Euclidean algorithm
# The Cartan – Hadamard theorem states that a complete simply connected Riemannian manifold M with nonpositive sectional curvature is diffeomorphic to the Euclidean space R ^ n with n = dim M via the exponential map at any point.
# Use the extended Euclidean algorithm to compute k < sup >− 1 </ sup >, the modular multiplicative inverse of k mod 2 < sup > w </ sup >, where w is the number of bits in a word.
# redirect Euclidean geometry # Axioms
# The Bishop – Gromov inequality states that if a complete m-dimensional Riemannian manifold has non-negative Ricci curvature, then the volume of a ball is smaller or equal to the volume of a ball of the same radius in Euclidean m-space.
# the Euclidean plane ( curvature 0 )
# REDIRECT Euclidean vector
# REDIRECT Euclidean vector
# REDIRECT Euclidean
# A torus C < sup > n </ sup >/ Λ ( Λ a full lattice ) inherits a flat metric from the Euclidean metric on C < sup > n </ sup >, and is therefore a compact Kähler manifold.
# REDIRECT Euclidean vector
# REDIRECT Euclidean vector # Addition and subtraction
# REDIRECT Euclidean vector # Addition and subtraction
# REDIRECT Norm ( mathematics )# Euclidean norm
See Polynomial long division, Polynomial greatest common divisor # Euclidean division and Polynomial greatest common divisor # Pseudo-remainder sequences.

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