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decomposition

decomposition

1 7.4
Splitting a math object into simpler parts to study it
  • noun
  • /ˌdiːkɒmpəˈzɪʃən/
  • Specialized
: descomposición
  • So now we have values for A&B and we can plug those back in to our partial fractions decomposition here.
  • decomposition methods
  • decomposition algorithm
  • QR decomposition

Like you might or well, abstraction and decomposition goals is maybe more of a decomposition thing.

Examples

  • In this paper, we review a number of decomposition methods that have been proposed.

    Academic text (1992)
  • In this paper, we examined this question using decomposition analysis based on the two most recent input-output tables.

    Academic text (1999)
  • The same should also apply in the development of a decomposition method.

    Academic text (1992)
  • In this respect, it is superior to other decomposition methods on theoretical grounds.

    Academic text (1992)
  • Future research could continue the decomposition to explore more discriminating attributes.

    Academic text (1991)
  • Our analysis has shown that the decomposition results depend greatly on the assumptions made about the parameter values.

    Academic text (1992)
  • Figure 3 is a decomposition of Figure 2a and helps illustrate the formulation.

    Academic text (1991)
  • In the interest of simplicity, these decompositions and additional decrements have been omitted from the figure.

    Academic text (2000)
  • The decomposition of the vector field allows us to analyze its individual components more effectively.

  • Using advanced techniques, the decomposition of the mathematical entity revealed new insights about its structure.

Synonyms

deconstruction
vsdecomposition
12 7.6

A way of studying something by breaking it into parts

is used mainly for mathematical breaking into components for analysis
breakdown
vsdecomposition
  • Specialized
8 4.1

A process in which a substance is broken into simpler parts by chemicals or living things

applies to mathematical splitting of entities, not physical processes
reduction
vsdecomposition
3 3.5

Making something simpler to understand

focuses on splitting into components rather than general simplification
resolving
vsdecomposition
1 6.1

To break something into clear parts to make it easier to study

focuses on mathematical entities and component extraction specifically
anatomization
vsdecomposition
1 9.3

A study that breaks something into parts to show how it works

is the mathematical process of separating entities into analytic parts
vector decomposition
vsdecomposition
  • Specialized
7.8

To split a vector into parts along certain directions, for example north and east

is the general method for many mathematical entities, not only fields

Compounds

1 6.3

A reaction where one compound breaks into two or more simpler substances

double decomposition
  • Specialized
1 6.5

A reaction between two chemical compounds where parts swap to form two new compounds

A chemical reaction where one compound breaks into two or more different substances

A chemical change where two compounds exchange parts to make two new compounds

vector decomposition
  • Specialized
7.8

To split a vector into parts along certain directions, for example north and east

How Detailed

decomposition
  • Specialized
1 7.4

Surface Forms

decomposition singular

Morphology

decomposition = decompose (transparent) = de + compose + ition

This is a standard noun formation from the verb 'decompose' meaning the process or result of decomposing.

Etymology

The word decomposition comes from de- 'down' or 'away' and compose 'put together', so it means taking a thing apart into simpler parts. In math this is writing a complicated object as a sum of simple pieces, like when you write a wave as sines and cosines so you can study each piece on its own.