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Euclidean norm

💡 Words with a Similar Meaning to "Euclidean norm"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
euclidean metricnoun(mathematical analysis) In the space ℝⁿ, the metric d(⃑x,⃑y)=√ where ⃑x=(x_1,...,x_n) and ⃑y=(y_1,...,y_n).
euclidean spacenounOrdinary n-dimensional space, characterized by an infinite extent along each dimension and a constant distance between any pair of parallel lines.
two-normnoun(mathematics) A measure of length given by "the square root of the squares." Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m×m matrix A is defined by max _(⃑v≠⃑0)(||A⃑v||₂)/(||⃑v||₂) where ⃑v is an m-dimensional vector that is not the zero vector.
euclideanismnounThe Euclidean approach to geometry.
euclidian spacenoun(mathematics, geometry) A space where the principles of Euclidean geometry apply.
normed vector spacenoun(mathematics) A vector space which is additionally equipped with a norm.
normnounThat which is normal or typical.
normingnoun(mathematical analysis) The endowing of a vector space, etc. with a norm.
quasinormnoun(mathematics) A function that has all the properties of a norm except the triangle inequality
n spacenoun(mathematics) n-dimensional Euclidean space
metanormnoun(mathematics) A nonabelian norm
normaloidnoun(slang) A boringly conventional or conformist person; a normie.
magnitudenoun(uncountable, countable) The absolute or relative size, extent or importance of something.
cartesian distancenoun(algebraic geometry) Euclidean distance.
pythagorean theoremnoun(geometry) A mathematical theorem which states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of those of the two other sides.
orthonormalitynoun(mathematics) The condition of being orthonormal
orthonormal functionnoun(functional analysis) An orthogonal function whose inner product with itself is unity
orthonormalizationnoun(mathematics) A form of orthogonalization in which the resulting vectors are all unit vectors
absolute geometrynoun(geometry) The single (up to logical equivalence) geometry whose axiomatic system is equivalent to that of Euclidean geometry without the parallel postulate or any alternative.
quadratic meannoun(mathematics) A type of average, calculated as the square root of the mean of the squares, i.e. Q=√x_1²+x_2²+...+x_n²/n.

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