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derivation

derivation

2 6.0
Showing how a formula or result follows in clear steps
  • noun
  • /ˌdɛrəˈveɪʃən/
  • Specialized
translation icon : deducción
  • In 1876, Josef Loschmidt raised an objection to Boltzmann's derivation of the second law of thermodynamics from Newton's laws of motion.
  • logic of derivation

But then the the discrete derivation is even worse.

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Examples

  • And here we're going to start a derivation of an integrated rate law.

  • Detailed derivations needed for the solution of the model are found in Appendix S2.

    Academic text (2018)
  • We're going to go through a very elementary derivation of what that means.

  • The accuracy and power of the derivation are subject to the complexity of the model as well as the sample size.

    Academic text (2018)
  • Although no formal derivation or confirmation is available, this set of control signals appears to be fundamental and unique.

    Academic text (1998)
  • There is nothing in the mathematical derivation to indicate whether k itself is a function of Q or not.

    Blog text (10)
  • In my case, I do a lot of pattern-matching and rule derivation from large datasets.

    Blog text (12)
  • Reliability testing, final item derivation, and validation were conducted among three independent cohorts of patients.

    Academic text (2005)
  • When we make analogies, we're saying that there's some sort of similarity or derivation relation between things.

  • The teacher explained the derivation of the mathematical formula step by step, ensuring all students understood the reasoning behind it.

Synonyms

calculation
vsderivation
  • Specialized
203 2.8

Doing math to find an answer or the correct amount

includes obtaining results by reasoning as well as by mathematics
inference
vsderivation
42 5.7

A conclusion you reach from evidence and reasoning

focuses on formal logical or mathematical methods rather than general evidence
deduction
vsderivation
31 4.1

A conclusion reached by using reasoning and evidence

is about obtaining results by logical steps as well as by numerical methods
deductive reasoning
vsderivation
6 5.9

To use general rules to reach a specific conclusion about one case

is the same process but broader than only applying general rules
direct proof
vsderivation
  • Specialized
1 6.6

A way to show something is true by using known facts and simple logical steps

is a broader process that can use numerical work or other reasoning

How Rigorous

proof
  • Specialized
36 6.0
derivation
  • Specialized
2 6.0
inference
42 5.7
conjecture
43 7.8
guess
768 1.0

Surface Forms

derivation singular
derivations plural

Morphology

derivation = derive (transparent) = derive + ation

Standard noun formation from the verb 'derive' indicating the process or result of deriving (e.g., a logical derivation).

Etymology

The word derivation comes from Latin parts de- ('away') and rivus ('stream'); imagine following a stream of ideas away from basic facts. That's why a derivation is the logical steps that bring you from starting facts to a result.