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determinant    音標拼音: [dɪt'ɚmənənt]
判定

判定

determinant
行列式

determinant
行列式

determinant
adj 1: having the power or quality of deciding; "the crucial
experiment"; "cast the deciding vote"; "the determinative
(or determinant) battle" [synonym: {deciding(a)},
{determinant}, {determinative}, {determining(a)}]
n 1: a determining or causal element or factor; "education is an
important determinant of one's outlook on life" [synonym:
{determinant}, {determiner}, {determinative}, {determining
factor}, {causal factor}]
2: the site on the surface of an antigen molecule to which an
antibody attaches itself [synonym: {antigenic determinant},
{determinant}, {epitope}]
3: a square matrix used to solve simultaneous equations

Determinant \De*ter"mi*nant\, a. [L. determinans, p. pr. of
determinare: cf. F. d['e]terminant.]
Serving to determine or limit; determinative.
[1913 Webster]


Determinant \De*ter"mi*nant\, n.
1. That which serves to determine; that which causes
determination.
[1913 Webster]

2. (Math.) The sum of a series of products of several
numbers, these products being formed according to certain
specified laws;

Note: thus, the determinant of the nine numbers
a, b, c,a', b', c',a'', b'', c'',
is a b' c'' - a b'' c' a' b'' c] - a' b c'' a'' b'
c. The determinant is written by placing the numbers
from which it is formed in a square between two
vertical lines. The theory of determinants forms a very
important branch of modern mathematics.
[1913 Webster]

3. (Logic) A mark or attribute, attached to the subject or
predicate, narrowing the extent of both, but rendering
them more definite and precise. --Abp. Thomson.
[1913 Webster]

120 Moby Thesaurus words for "determinant":
Altmann theory, DNA, De Vries theory, Galtonian theory,
Mendelianism, Mendelism, RNA, Verworn theory, Weismann theory,
Weismannism, Wiesner theory, allele, allelomorph, antecedent,
antecedents, authority, base, basis, birth, border line, bordering,
borderline, bound, boundary, boundary condition, boundary line,
bounding, bourn, break boundary, breakoff point, call, causation,
cause, cause and effect, ceiling, character, chromatid, chromatin,
chromosome, circumscription, coastal, compass, confine, cutoff,
cutoff point, deadline, delimitation, determinative, determiner,
determining, diathesis, division line, element, end, endowment,
etiology, eugenics, extreme, extremity, factor, finish, floor,
fringing, frontier, gene, genesiology, genetic code, genetics,
ground, grounds, hedge, hereditability, heredity, heritability,
heritage, high-water mark, inborn capacity, influence,
inheritability, inheritance, interface, limbic, limen, liminal,
limit, limitation, limiting, limiting factor, line,
line of demarcation, littoral, low-water mark, lower limit, march,
marginal, mark, matrocliny, mete, occasion, patrocliny,
pharmacogenetics, principle, reason, recessive character,
replication, rimming, skirting, start, starting line,
starting point, stimulus, target date, term, terminal,
terminal date, terminus, threshold, time allotment, upper limit,
weight

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英文字典中文字典相關資料:
  • Determinant of a Matrix - Math is Fun
    To work out the determinant of a 3×3 matrix: Multiply a by the determinant of the 2×2 matrix that is not in a 's row or column As a formula (remember the vertical bars || mean "determinant of"): "The determinant of A equals a times the determinant of etc" The pattern continues for 4×4 matrices: As a formula:
  • 4. 1: Determinants- Definition - Mathematics LibreTexts
    In this section, we define the determinant, and we present one way to compute it Then we discuss some of the many wonderful properties the determinant enjoys
  • Determinant | Meaning, Properties, Definition | Britannica
    Determinant, in linear and multilinear algebra, a value, denoted det A, associated with a square matrix A of n rows and n columns
  • Determinant -- from Wolfram MathWorld
    Determinants are mathematical objects that are very useful in the analysis and solution of systems of linear equations As shown by Cramer's rule, a nonhomogeneous system of linear equations has a unique solution iff the determinant of the system's matrix is nonzero (i e , the matrix is nonsingular)
  • Determinant of Matrix - 2x2, 3x3, 4x4, Finding Determinant
    The determinant of matrix is the sum of products of the elements of any row or column and their corresponding cofactors Learn the step by step process of finding determinant of matrix along with some useful shortcuts
  • Determinants - GeeksforGeeks
    The determinant of a matrix is a scalar value that can be calculated for a square matrix (a matrix with the same number of rows and columns) It serves as a scaling factor that is used for the transformation of a matrix





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