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decomposition

decomposition

1 7.4
Splitting a math object into simpler parts to study it
  • noun
  • /ˌdiːkɒmpəˈzɪʃən/
  • Specialized
translation icon : 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

reduction
vsdecomposition
31 3.5

Making something simpler to understand

focuses on splitting into components rather than general simplification
breakdown
vsdecomposition
  • Specialized
19 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
deconstruction
vsdecomposition
1 7.6

A way of studying something by breaking it into parts

is used mainly for mathematical breaking into components for analysis
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
resolving
vsdecomposition
6.1

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

focuses on mathematical entities and component extraction specifically
anatomization
vsdecomposition
9.3

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

is the mathematical process of separating entities into analytic parts

Compounds

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

6.3

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

double decomposition
  • Specialized
6.5

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

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.