Distributivitynoun Pronunciation: [dɪsˌtrɪbjʊˈtɪvɪti] Meaning: a property connecting addition and multiplication; for all numbers a, b, c it holds that a(b+c) = ac + bc and (a+b)c = ac + bc Sources: https://www.oed.com/view/Entry/55790?redirectedFrom=distributivity#eid |
Dot productnoun Pronunciation: [dɒt 'prɒdʌkt] Meaning: the sum of the products of corresponding coordinates of two real vectors, or of the products of the coordinates of the second of two complex vectors and the complex conjugates of the corresponding coordinates of the first Source: https://www.oed.com/view/Entry/56962?redirectedFrom=dot+product#eid1265788880 |
eigenvaluen. Pronunciation ˈīgənˌvalyo͞o Meaning One of those special values of a parameter in an equation for which the equation has a solution. Etymology translating German eigenwert |
EigenvectorNoun
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Embedding (also imbedding)Noun |
fieldnoun Pronunciation: /fiːld/ Definition: Field is an algebraic structure defined as 7-tuple of set, binary operations on this set (addition and multiplication), two unary operations (multiplicative inverse) and two nullary operations (0 and 1). With folowing axioms:
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Field of fractionsnoun pronunciation: [ fēld əv ˈfrakSHəns ] synonyms: fraction field, field of quotients, or quotient field meaning: Field of fractions of an integral domain is the smallest field in which it can be embedded. The elements of the field of fractions of the integral domain are equivalence classes (see the construction below) written as with and in and . The field of fractions of is sometimes denoted by or. examples: The field of fractions of the ring of integers is the field of rationals, i.e. . Given a field , the field of fractions of the polynomial ring in one indeterminate (which is an integral domain), is called the field of rational functions or field of rational fractions and is denoted . |
Gaussian elimination algorithmGaussian, adj. Elimination, n. (created from a verb eliminate, /ᵻˈlɪmᵻneɪt/, and a suffix -ion) Algorithm, n. Pronounciation: /ˈɡaʊsɪən/, /ᵻˌlɪmᵻˈneɪʃn/, /ˈalɡərɪð(ə)m/ Meaning: Gaussian: Discovered or formulated by Gauss. Elimination: The removal of a constant, variable, factor, etc., from a system of equations or a matrix by algebraic manipulation. Algorithm: A procedure or set of rules used in calculation and problem-solving; (in later use spec.) a precisely defined set of mathematical or logical operations for the performance of a particular task. Source: OED |
Greatest Common Divisor (GCD) domainnoun pronunciation: [ ˈgreytist ˈkämən diˈvīzər dōˈmān ] meaning: is an integral domain with the property that any two elements have a greatest common divisor (GCD) property: If R is a GCD domain, then the polynomial ring R[X1,...,Xn] is also a GCD domain. |
Group /ɡruːp/a set of operations so constituted that the product of any number of these operations is always itself a member of the set. In later use more generally: a set of elements together with an operation for combining any two of them to form a third element which is also in the set, the operation satisfying certain conditions. Etymology: French groupe, grouppe small detachment of soldiers (1574), arrangement of two or more figures or objects in a design . 1668), (in music) series of notes forming an ornament, run, etc., or linked by a slur (1703), number of things having some related properties or attributes in common (1726) |