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Multiple algebra

Multiple Mul"ti*ple, a. [Cf. F. multiple, and E. quadruple, and multiply.] Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts. Law of multiple proportion (Chem.), the generalization that when the same elements unite in more than one proportion, forming two or more different compounds, the higher proportions of the elements in such compounds are simple multiplies of the lowest proportion, or the proportions are connected by some simple common factor; thus, iron and oxygen unite in the proportions FeO, Fe2O3, Fe3O4, in which compounds, considering the oxygen, 3 and 4 are simple multiplies of 1. Called also the Law of Dalton, from its discoverer. Multiple algebra, a branch of advanced mathematics that treats of operations upon units compounded of two or more unlike units. Multiple conjugation (Biol.), a coalescence of many cells (as where an indefinite number of am[oe]boid cells flow together into a single mass) from which conjugation proper and even fertilization may have been evolved. Multiple fruits. (Bot.) See Collective fruit, under Collective. Multiple star (Astron.), several stars in close proximity, which appear to form a single system.

Multiple Mul"ti*ple, a. [Cf. F. multiple, and E. quadruple, and multiply.] Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts. Law of multiple proportion (Chem.), the generalization that when the same elements unite in more than one proportion, forming two or more different compounds, the higher proportions of the elements in such compounds are simple multiplies of the lowest proportion, or the proportions are connected by some simple common factor; thus, iron and oxygen unite in the proportions FeO, Fe2O3, Fe3O4, in which compounds, considering the oxygen, 3 and 4 are simple multiplies of 1. Called also the Law of Dalton, from its discoverer. Multiple algebra, a branch of advanced mathematics that treats of operations upon units compounded of two or more unlike units. Multiple conjugation (Biol.), a coalescence of many cells (as where an indefinite number of am[oe]boid cells flow together into a single mass) from which conjugation proper and even fertilization may have been evolved. Multiple fruits. (Bot.) See Collective fruit, under Collective. Multiple star (Astron.), several stars in close proximity, which appear to form a single system.

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- A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to mani****te mathematical expressions in...

- In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties...

- Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models")...

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

- comparison of linear algebra software libraries, either specialized or general purpose libraries with significant linear algebra coverage. Matrix types...

- In mathematics, the geometric algebra (GA) of a vector space is an algebra over a field, noted for its multiplication operation called the geometric product...

- In abstract algebra, a representation of an ****ociative algebra is a module for that algebra. Here an ****ociative algebra is a (not necessarily unital)...

- In mathematics, an ****ociative algebra A is an algebraic structure with compatible operations of addition, multiplication (****umed to be ****ociative)...

- In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions. Two examples of algebraic fractions are 3 x...

- A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to mani****te mathematical expressions in...

- In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties...

- Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models")...

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

- comparison of linear algebra software libraries, either specialized or general purpose libraries with significant linear algebra coverage. Matrix types...

- In mathematics, the geometric algebra (GA) of a vector space is an algebra over a field, noted for its multiplication operation called the geometric product...

- In abstract algebra, a representation of an ****ociative algebra is a module for that algebra. Here an ****ociative algebra is a (not necessarily unital)...

- In mathematics, an ****ociative algebra A is an algebraic structure with compatible operations of addition, multiplication (****umed to be ****ociative)...

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