Algebra - vocabulary
This dictionary was created by your fellow students mathematicians. It comprises what you should be mostly already familiar with from our winter semester.
Speciální | A | Á | B | C | Č | D | Ď | E | É | Ě | F | G | H | CH | I | Í | J | K | L | M | N | Ň | O | Ó | P | Q | R | Ř | S | Š | T | Ť | U | Ú | Ů | V | W | X | Y | Ý | Z | Ž | VŠE
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Identity matrixThe identity matrix is a square diagonal matrix with ones on the diagonal. | |
Image/ˈɪm.ɪdʒ/ Let f be a mapping of X to Y. Image of f is set {f(x):x fromX} and is denoted f(X). | |
InjectionNoun
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Inner productnoun pronunciation: [ ˈɪnə ˈprɒdʌkt ] meaning: An inner product is a generalization of the dot product. In a vector space, it is a way to multiply vectors together, with the result of this multiplication being a scalar. More precisely, for a real vector space, an inner product satisfies the following four properties. Let , , and be vectors and be a scalar, then: 1. . 2. . 3. . 4. and equal if and only if . example: For Euclidean space , the inner product is given by
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Integral domainnoun pronunciation: [ˈintigrəl dōˈmān] meaning: is a nonzero commutative ring in which the product of any two nonzero elements is nonzero. example: The ring of all polynomials in one variable with integer coefficients is an integral domain. property: In an integral domain, every nonzero element a has the cancellation property, that is, if a ≠ 0, an equality ab = ac implies b = c. | |
invertibleadj. Etymology classical Latin invertere to turn upside down or inside out, to reverse, to turn over violently, upset, to turn round, to pervert, to reverse (an order), to cause words to convey the opposite sense (e.g. by irony), to change, alter, to paraphrase, to translate < in- in- prefix2 + vertere vert v.1 Pronunciation Meaning Of a function or other element of an algebraic structure: having an inverse for every a there exists b such that a*b^(-1)=1
https://www.oed.com/view/Entry/99024?rskey=IAlWbP&result=2&isAdvanced=false#eid | |
Irreducible (polynomial)Adjective Pronunciation
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KernelNoun . The task is to solve , which can be computed by Gaussian elimination.
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linear spanPronunciation: /ˈlɪniə(r) spæn/ Definition: Let be given a vector space V over a field K. The span of a set S of vectors is defined as the smallest subspace of V, which contains S. | |