RankNoun
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ringnoun Pronunciation: /rɪŋ/ Definition: Ring is an algebraic structure defined as 5-tuple of set, binary operations on this set (addition and multiplication), one unary operation (addition inverse) and one nullary operation (0). And the following axioms hold.
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Root (of a polynomial)noun Pronunciation: [ru:t] Meaning: a number z such that the value of the polynomial at z equals 0 Source: |
ScalarScalar, adj. and n. Pronounciation: /ˈskeɪlə/, /ˈskeɪlɑː/ Meaning: Noun: In quaternions, a real number. More widely, a quantity having magnitude but no direction, and representable by a single real number. Adjective: Of the nature of a scalar. Source:
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Singular matrixA singular matrix is a matrix which is not invertible. |
Singular value |
Singular value decompositionA singular value decomposition of a complex mxn matrix A is three matrices U, V, ∑, where U is an mxm complex unitary matrix, V is an nxn complex unitary matrix, and ∑ is an mxn diagonal matrix with non-negative real values on the diagonal, such that A=U∑V*.
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Subgroup/ˈsʌbˌɡruːp/ Let (G, *, ',e) be a group. Let H be a subset of G. We say, that H is a subgroup of G if e is element of H, and for every a,b elements of H are a*b and a' elements of H. For pronunciation: https://dictionary.cambridge.org/dictionary/english/subgroup |
SurjectionNoun
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Trace/treɪs/ Let A be a square matrix. The trace(A) is defined as sum of all elements on the main diagonal. |