first-order
Simplest in logic
First-order describes something basic, fundamental, or of primary importance—the first level of analysis before complications arise.
In logic and mathematics, first-order refers to systems that quantify over individual objects but not over sets or properties of those objects: first-order logic, first-order differential equations.
More broadly, a first-order concern is one that must be addressed before anything else.
Science of valid reasoning
- predicateSentence's non-subject portion
- differentialRelative difference between things
- equationsMathematical equality statements
- derivativeFunction's rate of change
approximation · linear · perturbation · Taylor · partial · kinetics · reaction · conditions
Fundamental in nature
- elementaryOf first principles
- essentialFundamentally necessary
- primaryChief in importance
- coreCentral essential portion
underlying · foundational · rudimentary · introductory · preliminary · simple · direct · straightforward
Chief in importance
- principalChief school administrator
- paramountOf supreme significance
- chiefTop-ranking leader
- mainChief or primary element
leading · dominant · preeminent · top · pressing · urgent · crucial · essential
Name's opening letter
- primaryChief in importance
- precedingComing before in order
- subsequentOccurring after something else
- sequentialOccurring in succession
successive · nth · iterative · recursive · cascading · downstream · upstream
Chief in importance
- principalChief school administrator
- chiefTop-ranking leader
- top-levelHighest in rank
- directUndeviating or to guide
immediate · subordinate · superordinate · precedence · ranking · echelon · tier · dominance
logic
Science of valid reasoning
- predicateSentence's non-subject portion
- differentialRelative difference between things
- equationsMathematical equality statements
derivative · approximation · linear · perturbation · Taylor · partial · kinetics · reaction · conditions · recursion
basic
Fundamental in nature
- elementaryOf first principles
- essentialFundamentally necessary
- primaryChief in importance
core · underlying · foundational · rudimentary · introductory · preliminary · simple · direct · straightforward · uncomplicated
primary
Chief in importance
main · leading · dominant · preeminent · top · pressing · urgent · crucial · essential · imperative
initial
Name's opening letter
- primaryChief in importance
- precedingComing before in order
- subsequentOccurring after something else
sequential · successive · nth · iterative · recursive · cascading · downstream · upstream
primary
Chief in importance
direct · immediate · subordinate · superordinate · precedence · ranking · echelon · tier · dominance · reporting
- perturbation methodstime-dependent, time-independent, Taylor expansion, truncation
- kineticsreaction rate, activation energy, reaction rates, catalysis, catalyst
- differentialsdifferential equation, differential calculus, derivative, pressure differential, rear differential
first-orderhigher-order
Above the primary level
second-order · indirect · derivative · downstream · mediated
first-ordersecond-order
Derived from derivative
secondary · minor · peripheral · tertiary · trivial