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Split-complex number, the Glossary

In algebra, a split complex number (or hyperbolic number, also perplex number, double number) is based on a hyperbolic unit satisfying j^2.^[1]

112 relations: A. A. Albert, Abstract algebra, Academic Press, Addition, Algebra, Algebra over a field, Area, Argentina, Associative algebra, Associative property, Asymptote, Basis (linear algebra), Bicomplex number, Bilinear form, Biodiversity Heritage Library, Birkhäuser, Cartesian coordinate system, Category of rings, Cayley–Dickson construction, Circle group, Commutative property, Complex analysis, Complex conjugate, Complex number, Composition algebra, Conjugate hyperbola, Cyclic group, D. H. Lehmer, Definite quadratic form, Determinant, Dilation (metric space), Discrete mathematics, Distributive property, Elsevier, Encyclopedia of Mathematics, Euler's formula, Field (mathematics), Frame of reference, Geometry, Group (mathematics), Group action, Group isomorphism, Group ring, Hyperbola, Hyperbolic angle, Hyperbolic functions, Hyperbolic orthogonality, Hyperbolic sector, Hypercomplex number, Ideal (ring theory), ... Expand index (62 more) »
Composition algebras
Hypercomplex numbers

A. A. Albert

Abraham Adrian Albert (November 9, 1905 – June 6, 1972) was an American mathematician.

See Split-complex number and A. A. Albert

Abstract algebra

In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements.

See Split-complex number and Abstract algebra

Academic Press

Academic Press (AP) is an academic book publisher founded in 1941.

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Addition

Addition (usually signified by the plus symbol) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.

See Split-complex number and Addition

Algebra

Algebra is the branch of mathematics that studies algebraic structures and the manipulation of statements within those structures.

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Algebra over a field

In mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product.

See Split-complex number and Algebra over a field

Area

Area is the measure of a region's size on a surface.

See Split-complex number and Area

Argentina

Argentina, officially the Argentine Republic, is a country in the southern half of South America.

See Split-complex number and Argentina

In mathematics, an associative algebra A over a commutative ring (often a field) K is a ring A together with a ring homomorphism from K into the center of A. This is thus an algebraic structure with an addition, a multiplication, and a scalar multiplication (the multiplication by the image of the ring homomorphism of an element of K).

See Split-complex number and Associative algebra

Associative property

In mathematics, the associative property is a property of some binary operations that means that rearranging the parentheses in an expression will not change the result.

See Split-complex number and Associative property

Asymptote

In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.

See Split-complex number and Asymptote

Basis (linear algebra)

In mathematics, a set of vectors in a vector space is called a basis (bases) if every element of may be written in a unique way as a finite linear combination of elements of. Split-complex number and basis (linear algebra) are linear algebra.

See Split-complex number and Basis (linear algebra)

Bicomplex number

In abstract algebra, a bicomplex number is a pair of complex numbers constructed by the Cayley–Dickson process that defines the bicomplex conjugate (w,z)^*. Split-complex number and bicomplex number are composition algebras and hypercomplex numbers.

See Split-complex number and Bicomplex number

Bilinear form

In mathematics, a bilinear form is a bilinear map on a vector space (the elements of which are called vectors) over a field K (the elements of which are called scalars). Split-complex number and bilinear form are linear algebra.

See Split-complex number and Bilinear form

Biodiversity Heritage Library

The Biodiversity Heritage Library (BHL) is the world’s largest open access digital library for biodiversity literature and archives.

See Split-complex number and Biodiversity Heritage Library

Birkhäuser

Birkhäuser was a Swiss publisher founded in 1879 by Emil Birkhäuser.

See Split-complex number and Birkhäuser

Cartesian coordinate system

In geometry, a Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of real numbers called coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, called coordinate lines, coordinate axes or just axes (plural of axis) of the system.

See Split-complex number and Cartesian coordinate system

Category of rings

In mathematics, the category of rings, denoted by Ring, is the category whose objects are rings (with identity) and whose morphisms are ring homomorphisms (that preserve the identity).

See Split-complex number and Category of rings

Cayley–Dickson construction

In mathematics, the Cayley–Dickson construction, named after Arthur Cayley and Leonard Eugene Dickson, produces a sequence of algebras over the field of real numbers, each with twice the dimension of the previous one. Split-complex number and Cayley–Dickson construction are composition algebras and hypercomplex numbers.

See Split-complex number and Cayley–Dickson construction

Circle group

In mathematics, the circle group, denoted by \mathbb T or, is the multiplicative group of all complex numbers with absolute value 1, that is, the unit circle in the complex plane or simply the unit complex numbers \mathbb T.

See Split-complex number and Circle group

Commutative property

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.

See Split-complex number and Commutative property

Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

See Split-complex number and Complex analysis

Complex conjugate

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign.

See Split-complex number and Complex conjugate

Complex number

In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted, called the imaginary unit and satisfying the equation i^. Split-complex number and complex number are composition algebras.

See Split-complex number and Complex number

Composition algebra

In mathematics, a composition algebra over a field is a not necessarily associative algebra over together with a nondegenerate quadratic form that satisfies for all and in. Split-complex number and composition algebra are composition algebras.

See Split-complex number and Composition algebra

Conjugate hyperbola

In geometry, a conjugate hyperbola to a given hyperbola shares the same asymptotes but lies in the opposite two sectors of the plane compared to the original hyperbola.

See Split-complex number and Conjugate hyperbola

Cyclic group

In abstract algebra, a cyclic group or monogenous group is a group, denoted Cn (also frequently \Zn or Zn, not to be confused with the commutative ring of p-adic numbers), that is generated by a single element.

See Split-complex number and Cyclic group

D. H. Lehmer

Derrick Henry "Dick" Lehmer (February 23, 1905 – May 22, 1991), almost always cited as D.H. Lehmer, was an American mathematician significant to the development of computational number theory.

See Split-complex number and D. H. Lehmer

Definite quadratic form

In mathematics, a definite quadratic form is a quadratic form over some real vector space that has the same sign (always positive or always negative) for every non-zero vector of. Split-complex number and definite quadratic form are linear algebra.

See Split-complex number and Definite quadratic form

Determinant

In mathematics, the determinant is a scalar-valued function of the entries of a square matrix. Split-complex number and determinant are linear algebra.

See Split-complex number and Determinant

Dilation (metric space)

In mathematics, a dilation is a function f from a metric space M into itself that satisfies the identity for all points x, y \in M, where d(x, y) is the distance from x to y and r is some positive real number.

See Split-complex number and Dilation (metric space)

Discrete mathematics

Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions).

See Split-complex number and Discrete mathematics

Distributive property

In mathematics, the distributive property of binary operations is a generalization of the distributive law, which asserts that the equality x \cdot (y + z).

See Split-complex number and Distributive property

Elsevier

Elsevier is a Dutch academic publishing company specializing in scientific, technical, and medical content.

See Split-complex number and Elsevier

Encyclopedia of Mathematics

The Encyclopedia of Mathematics (also EOM and formerly Encyclopaedia of Mathematics) is a large reference work in mathematics.

See Split-complex number and Encyclopedia of Mathematics

Euler's formula

Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.

See Split-complex number and Euler's formula

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined and behave as the corresponding operations on rational and real numbers.

See Split-complex number and Field (mathematics)

Frame of reference

In physics and astronomy, a frame of reference (or reference frame) is an abstract coordinate system whose origin, orientation, and scale are specified by a set of reference points―geometric points whose position is identified both mathematically (with numerical coordinate values) and physically (signaled by conventional markers).

See Split-complex number and Frame of reference

Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

See Split-complex number and Geometry

Group (mathematics)

In mathematics, a group is a set with an operation that associates an element of the set to every pair of elements of the set (as does every binary operation) and satisfies the following constraints: the operation is associative, it has an identity element, and every element of the set has an inverse element.

See Split-complex number and Group (mathematics)

Group action

In mathematics, many sets of transformations form a group under function composition; for example, the rotations around a point in the plane.

See Split-complex number and Group action

Group isomorphism

In abstract algebra, a group isomorphism is a function between two groups that sets up a bijection between the elements of the groups in a way that respects the given group operations.

See Split-complex number and Group isomorphism

Group ring

In algebra, a group ring is a free module and at the same time a ring, constructed in a natural way from any given ring and any given group.

See Split-complex number and Group ring

Hyperbola

In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set.

See Split-complex number and Hyperbola

Hyperbolic angle

In geometry, hyperbolic angle is a real number determined by the area of the corresponding hyperbolic sector of xy.

See Split-complex number and Hyperbolic angle

Hyperbolic functions

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle.

See Split-complex number and Hyperbolic functions

Hyperbolic orthogonality

In geometry, the relation of hyperbolic orthogonality between two lines separated by the asymptotes of a hyperbola is a concept used in special relativity to define simultaneous events.

See Split-complex number and Hyperbolic orthogonality

Hyperbolic sector

A hyperbolic sector is a region of the Cartesian plane bounded by a hyperbola and two rays from the origin to it.

See Split-complex number and Hyperbolic sector

Hypercomplex number

In mathematics, hypercomplex number is a traditional term for an element of a finite-dimensional unital algebra over the field of real numbers. Split-complex number and hypercomplex number are hypercomplex numbers.

See Split-complex number and Hypercomplex number

Ideal (ring theory)

In mathematics, and more specifically in ring theory, an ideal of a ring is a special subset of its elements.

See Split-complex number and Ideal (ring theory)

Idempotent (ring theory)

In ring theory, a branch of mathematics, an idempotent element or simply idempotent of a ring is an element such that.

See Split-complex number and Idempotent (ring theory)

Identity matrix

In linear algebra, the identity matrix of size n is the n\times n square matrix with ones on the main diagonal and zeros elsewhere.

See Split-complex number and Identity matrix

If and only if

In logic and related fields such as mathematics and philosophy, "if and only if" (often shortened as "iff") is paraphrased by the biconditional, a logical connective between statements.

See Split-complex number and If and only if

Imaginary unit

The imaginary unit or unit imaginary number is a solution to the quadratic equation Although there is no real number with this property, can be used to extend the real numbers to what are called complex numbers, using addition and multiplication.

See Split-complex number and Imaginary unit

Indefinite orthogonal group

In mathematics, the indefinite orthogonal group, is the Lie group of all linear transformations of an n-dimensional real vector space that leave invariant a nondegenerate, symmetric bilinear form of signature, where.

See Split-complex number and Indefinite orthogonal group

Inner product space

In mathematics, an inner product space (or, rarely, a Hausdorff pre-Hilbert space) is a real vector space or a complex vector space with an operation called an inner product.

See Split-complex number and Inner product space

International Journal of Theoretical Physics

The International Journal of Theoretical Physics is a peer-reviewed scientific journal of physics published by Springer Science+Business Media since 1968.

See Split-complex number and International Journal of Theoretical Physics

Interval arithmetic

Interval arithmetic (also known as interval mathematics; interval analysis or interval computation) is a mathematical technique used to mitigate rounding and measurement errors in mathematical computation by computing function bounds.

See Split-complex number and Interval arithmetic

Involution (mathematics)

In mathematics, an involution, involutory function, or self-inverse function is a function that is its own inverse, for all in the domain of.

See Split-complex number and Involution (mathematics)

Isaak Yaglom

Isaak Moiseevich Yaglom (Исаа́к Моисе́евич Ягло́м; 6 March 1921 – 17 April 1988) was a Soviet mathematician and author of popular mathematics books, some with his twin Akiva Yaglom.

See Split-complex number and Isaak Yaglom

Isometry

In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective.

See Split-complex number and Isometry

Isotropic quadratic form

In mathematics, a quadratic form over a field F is said to be isotropic if there is a non-zero vector on which the form evaluates to zero.

See Split-complex number and Isotropic quadratic form

James Cockle

Sir James Cockle FRS FRAS FCPS (14 January 1819 – 27 January 1895) was an English lawyer and mathematician.

See Split-complex number and James Cockle

Lorentz transformation

In physics, the Lorentz transformations are a six-parameter family of linear transformations from a coordinate frame in spacetime to another frame that moves at a constant velocity relative to the former.

See Split-complex number and Lorentz transformation

Louis Kauffman

Louis Hirsch Kauffman (born February 3, 1945) is an American mathematician, mathematical physicist, and professor of mathematics in the Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago.

See Split-complex number and Louis Kauffman

Mathematical Reviews

Mathematical Reviews is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science.

See Split-complex number and Mathematical Reviews

Mathematics and Computer Education

Mathematics and Computer Education was a peer-reviewed academic journal in the fields of mathematics and computer science education, published from 1982 to 2016.

See Split-complex number and Mathematics and Computer Education

Mathematics Magazine

Mathematics Magazine is a refereed bimonthly publication of the Mathematical Association of America.

See Split-complex number and Mathematics Magazine

Matrix (mathematics)

In mathematics, a matrix (matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object.

See Split-complex number and Matrix (mathematics)

Max August Zorn

Max August Zorn (June 6, 1906 – March 9, 1993) was a German mathematician.

See Split-complex number and Max August Zorn

Metric signature

In mathematics, the signature of a metric tensor g (or equivalently, a real quadratic form thought of as a real symmetric bilinear form on a finite-dimensional vector space) is the number (counted with multiplicity) of positive, negative and zero eigenvalues of the real symmetric matrix of the metric tensor with respect to a basis.

See Split-complex number and Metric signature

Michiel Hazewinkel

Michiel Hazewinkel (born 22 June 1943) is a Dutch mathematician, and Emeritus Professor of Mathematics at the Centre for Mathematics and Computer Science and the University of Amsterdam, particularly known for his 1978 book Formal groups and applications and as editor of the Encyclopedia of Mathematics.

See Split-complex number and Michiel Hazewinkel

Minkowski space

In physics, Minkowski space (or Minkowski spacetime) is the main mathematical description of spacetime in the absence of gravitation.

See Split-complex number and Minkowski space

Motor variable

In mathematics, a function of a motor variable is a function with arguments and values in the split-complex number plane, much as functions of a complex variable involve ordinary complex numbers.

See Split-complex number and Motor variable

Multiplication

Multiplication (often denoted by the cross symbol, by the mid-line dot operator, by juxtaposition, or, on computers, by an asterisk) is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division.

See Split-complex number and Multiplication

Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.

See Split-complex number and Multiplicative inverse

National University of La Plata

The La Plata National University (Universidad Nacional de La Plata, UNLP) is a national public research university located in the city of La Plata, capital of Buenos Aires Province, Argentina.

See Split-complex number and National University of La Plata

Nine-point hyperbola

In Euclidean geometry with triangle, the nine-point hyperbola is an instance of the nine-point conic described by American mathematician Maxime Bôcher in 1892.

See Split-complex number and Nine-point hyperbola

Norm (mathematics)

In mathematics, a norm is a function from a real or complex vector space to the non-negative real numbers that behaves in certain ways like the distance from the origin: it commutes with scaling, obeys a form of the triangle inequality, and is zero only at the origin. Split-complex number and norm (mathematics) are linear algebra.

See Split-complex number and Norm (mathematics)

Null vector

In mathematics, given a vector space X with an associated quadratic form q, written, a null vector or isotropic vector is a non-zero element x of X for which. Split-complex number and null vector are linear algebra.

See Split-complex number and Null vector

Number line

In elementary mathematics, a number line is a picture of a straight line that serves as spatial representation of numbers, usually graduated like a ruler with a particular origin point representing the number zero and evenly spaced marks in either direction representing integers, imagined to extend infinitely.

See Split-complex number and Number line

One-parameter group

In mathematics, a one-parameter group or one-parameter subgroup usually means a continuous group homomorphism from the real line \mathbb (as an additive group) to some other topological group G. If \varphi is injective then \varphi(\mathbb), the image, will be a subgroup of G that is isomorphic to \mathbb as an additive group.

See Split-complex number and One-parameter group

Pacific Journal of Mathematics

The Pacific Journal of Mathematics is a mathematics research journal supported by several universities and research institutes, and currently published on their behalf by Mathematical Sciences Publishers, a non-profit academic publishing organisation, and the University of California, Berkeley.

See Split-complex number and Pacific Journal of Mathematics

Perpendicular

In geometry, two geometric objects are perpendicular if their intersection forms right angles (angles that are 90 degrees or π/2 radians wide) at the point of intersection called a foot.

See Split-complex number and Perpendicular

Polynomial

In mathematics, a polynomial is a mathematical expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication and exponentiation to nonnegative integer powers, and has a finite number of terms.

See Split-complex number and Polynomial

Polynomial ring

In mathematics, especially in the field of algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field.

See Split-complex number and Polynomial ring

Power series

In mathematics, a power series (in one variable) is an infinite series of the form \sum_^\infty a_n \left(x - c\right)^n.

See Split-complex number and Power series

Project Euclid

Project Euclid is a collaborative partnership between Cornell University Library and Duke University Press which seeks to advance scholarly communication in theoretical and applied mathematics and statistics through partnerships with independent and society publishers.

See Split-complex number and Project Euclid

Quadratic form

In mathematics, a quadratic form is a polynomial with terms all of degree two ("form" is another name for a homogeneous polynomial). Split-complex number and quadratic form are linear algebra.

See Split-complex number and Quadratic form

Quotient ring

In ring theory, a branch of abstract algebra, a quotient ring, also known as factor ring, difference ring or residue class ring, is a construction quite similar to the quotient group in group theory and to the quotient space in linear algebra.

See Split-complex number and Quotient ring

Rapidity

Rapidity is a measure for relativistic velocity.

See Split-complex number and Rapidity

Real number

In mathematics, a real number is a number that can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature.

See Split-complex number and Real number

Reflection (mathematics)

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection.

See Split-complex number and Reflection (mathematics)

Ring (mathematics)

In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist.

See Split-complex number and Ring (mathematics)

Ring homomorphism

In mathematics, a ring homomorphism is a structure-preserving function between two rings.

See Split-complex number and Ring homomorphism

Rocky Mountain Journal of Mathematics

The Rocky Mountain Journal of Mathematics is a peer-reviewed mathematics journal published by the Rocky Mountain Mathematics Consortium.

See Split-complex number and Rocky Mountain Journal of Mathematics

Spacetime

In physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.

See Split-complex number and Spacetime

Split-biquaternion

In mathematics, a split-biquaternion is a hypercomplex number of the form where w, x, y, and z are split-complex numbers and i, j, and k multiply as in the quaternion group.

See Split-complex number and Split-biquaternion

Split-octonion

In mathematics, the split-octonions are an 8-dimensional nonassociative algebra over the real numbers. Split-complex number and split-octonion are composition algebras.

See Split-complex number and Split-octonion

Split-quaternion

In abstract algebra, the split-quaternions or coquaternions form an algebraic structure introduced by James Cockle in 1849 under the latter name. Split-complex number and split-quaternion are composition algebras.

See Split-complex number and Split-quaternion

Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

See Split-complex number and Springer Science+Business Media

Squeeze mapping

In linear algebra, a squeeze mapping, also called a squeeze transformation, is a type of linear map that preserves Euclidean area of regions in the Cartesian plane, but is not a rotation or shear mapping. Split-complex number and squeeze mapping are linear algebra.

See Split-complex number and Squeeze mapping

Subgroup

In group theory, a branch of mathematics, given a group under a binary operation ∗, a subset of is called a subgroup of if also forms a group under the operation ∗.

See Split-complex number and Subgroup

Subring

In mathematics, a subring of R is a subset of a ring that is itself a ring when binary operations of addition and multiplication on R are restricted to the subset, and that shares the same multiplicative identity as R. (Note that a subset of a ring R need not be a ring.) For those who define rings without requiring the existence of a multiplicative identity, a subring of R is just a subset of R that is a ring for the operations of R (this does imply it contains the additive identity of R).

See Split-complex number and Subring

The American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

See Split-complex number and The American Mathematical Monthly

The College Mathematics Journal

The College Mathematics Journal is an expository magazine aimed at teachers of college mathematics, particularly those teaching the first two years.

See Split-complex number and The College Mathematics Journal

Topological ring

In mathematics, a topological ring is a ring R that is also a topological space such that both the addition and the multiplication are continuous as maps: R \times R \to R where R \times R carries the product topology.

See Split-complex number and Topological ring

Unit hyperbola

In geometry, the unit hyperbola is the set of points (x,y) in the Cartesian plane that satisfy the implicit equation x^2 - y^2.

See Split-complex number and Unit hyperbola

Vector space

In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called ''vectors'', can be added together and multiplied ("scaled") by numbers called ''scalars''.

See Split-complex number and Vector space

Walter Benz

Walter Benz (May 2, 1931 Lahnstein – January 13, 2017 Ratzeburg) was a German mathematician, an expert in geometry.

See Split-complex number and Walter Benz

William Kingdon Clifford

William Kingdon Clifford (4 May 18453 March 1879) was a British mathematician and philosopher.

See Split-complex number and William Kingdon Clifford

Zero divisor

In abstract algebra, an element of a ring is called a left zero divisor if there exists a nonzero in such that, or equivalently if the map from to that sends to is not injective.

See Split-complex number and Zero divisor

References

[1] https://en.wikipedia.org/wiki/Split-complex_number

Also known as Double number, Hallucinatory number, Hyperbolic number, Hyperbolic numbers, Hyperbolic unit, Lorentz number, Perplex number, Perplex numbers, Split binarion, Split complex, Split complex number, Split-complex, Split-complex numbers, Split-complex plane.

, Idempotent (ring theory), Identity matrix, If and only if, Imaginary unit, Indefinite orthogonal group, Inner product space, International Journal of Theoretical Physics, Interval arithmetic, Involution (mathematics), Isaak Yaglom, Isometry, Isotropic quadratic form, James Cockle, Lorentz transformation, Louis Kauffman, Mathematical Reviews, Mathematics and Computer Education, Mathematics Magazine, Matrix (mathematics), Max August Zorn, Metric signature, Michiel Hazewinkel, Minkowski space, Motor variable, Multiplication, Multiplicative inverse, National University of La Plata, Nine-point hyperbola, Norm (mathematics), Null vector, Number line, One-parameter group, Pacific Journal of Mathematics, Perpendicular, Polynomial, Polynomial ring, Power series, Project Euclid, Quadratic form, Quotient ring, Rapidity, Real number, Reflection (mathematics), Ring (mathematics), Ring homomorphism, Rocky Mountain Journal of Mathematics, Spacetime, Split-biquaternion, Split-octonion, Split-quaternion, Springer Science+Business Media, Squeeze mapping, Subgroup, Subring, The American Mathematical Monthly, The College Mathematics Journal, Topological ring, Unit hyperbola, Vector space, Walter Benz, William Kingdon Clifford, Zero divisor.

Split-complex number, the Glossary

Table of Contents

See also

Composition algebras

Hypercomplex numbers

References