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Complex plane

💡 Words with a Similar Meaning to "Complex plane"

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

WordDefinition
complex projective linenoun(analytic geometry, projective geometry) A complex line (especially, the set of complex numbers regarded as such) endowed with a point at infinity (thus becoming a projective line); (more formally) the set of equivalence classes of ordered pairs (α, β) of complex numbers, not both zero, with respect to the equivalence relation "(α, β) ≡ (λα, λβ) for all nonzero complex λ".
complex linenoun(complex analysis, analytic geometry) A 1-dimensional affine subspace of a vector space over the complex numbers.
real planenoun(set theory) The Cartesian product of two real lines.
complexnounA network of interconnected systems.
complex functionnoun(mathematics) A function whose range is a subset of the set of complex numbers.
complex geometrynoun(countable) Used other than figuratively or idiomatically: see complex, geometry.
complex conjugationnoun(mathematics) The unary operation which maps complex numbers to their complex conjugates.
hypercomplex numbernoun(mathematics) Any of several types of extended complex number, consisting of a real part and two or more imaginary parts (each a real multiple of a distinct square root of −1), which may be imagined as a point in a multi-dimensional space.
half-planenoun(mathematics) Either half of an infinite plane (divided by a straight line)
circle groupnoun(algebra) The group of all complex numbers of unit modulus, with the group operation being complex multiplication.
complex numbernoun(complex analysis) A number of the form a + bi, where a and b are real numbers and i denotes the imaginary unit.
riemann surfacenoun(mathematics) A one-dimensional complex manifold; a generalization of the complex plane.
subplanenoun(mathematics) A plane making up part of another plane.
hypercomplexnoun(mathematics) A hypercomplex number.
eigenplanenoun(mathematics) A two-dimensional invariant subspace in a given vector space
complex conjugatenoun(mathematics) Of a complex number x, the complex number ◌̅x formed by changing the sign of the imaginary part: The complex conjugate of a + bi is a - bi.
real number linenoun(mathematics) A geometric representation of the real number system.
tricomplex numbernoun(mathematics) The equivalent of a complex number in three dimensions
phase spacenoun(mathematics, physics, dynamical system theory) Given a (dynamical) system, any topological space such that every point in the space's underlying set uniquely represents a state of the system and every possible state is represented by some point;
conjugatenoun(algebra, of a complex number) A complex conjugate.

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