determinant meaning

[ di'tə:minənt ] Pronunciation:   "determinant" in a sentence
Noun: determinant  di'turmununt
  1. A determining or causal element or factor
    "education is an important determinant of one's outlook on life"
    - determiner, determinative, determining factor, causal factor 
  2. The site on the surface of an antigen molecule to which an antibody attaches itself
    - antigenic determinant, epitope 
  3. (mathematics) a scalar quantity derived from a matrix giving the volume scaling of the matrix
Adjective: determinant  di'turmununt
  1. Having the power or quality of deciding
    "the determinative (or determinant) battle"
    - deciding, determinative, determining

Derived forms: determinants

See also: decisive, determine

Type of: cognitive factor, site, situation, square matrix

Part of: antigen

Encyclopedia: Determinant


[Control systems]
The product of the partial return differences associated with the nodes of a signal-flow graph.

[Economics]
A number derived from the values of the elements of a square matrix. For example, if aij are the elements in the ith row and jth column of a 2 * 2 matrix, its determinant is given by Δ = a11 a22 -a12 a21 ; the derivation of determinants for larger matrices is similar in principle. A major function of determinants is to check whether the rows or columns of a matrix are independent; if they are not independent then the determinant is zero. It can be seen that if a11 /a12 = a21 /a22, Δ = 0.

[Medicine]
n
1
a : a hypothetical aggregate of biophores conceived as comparable to the gene of more recent biological theory
b : GENE
2 : EPITOPE

Examples

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  1. each antigen may have many different determinants.
  2. it is important to distinguish matrices from determinants.
  3. for finite-dimensional spaces determinants can be brought into play.
  4. the determinant can be evaluated from the cofactors of any column.
  5. this determinant is a special case of the resultant of two polynomials.

Related Words

  1. determinable meaning
  2. determinable interest meaning
  3. determinableness meaning
  4. determinably meaning
  5. determinacy meaning
  6. determinate meaning
  7. determinate cleavage meaning
  8. determinate structure meaning
  9. determinately meaning
  10. determinateness meaning
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