释义 |
- Mathematics Differential equations Logic
- Chemistry
- Computer science
- Other uses
- See also
{{wiktionary|first-order}}In mathematics and other formal sciences, first-order or first order most often means either: - "linear" (a polynomial of degree at most one), as in first-order approximation and other calculus uses, where it is contrasted with "polynomials of higher degree", or
- "without self-reference", as in first-order logic and other logic uses, where it is contrasted with "allowing some self-reference" (higher-order logic)
In detail, it may refer to: {{TOC right}} Mathematics - First-order approximation
- First-order arithmetic
- First-order condition
- First-order control, when a desired result is attempted by adjusting a scalar (first-order) control
- First-order hold, a mathematical model of the practical reconstruction of sampled signals
- First-order inclusion probability
- First Order Inductive Learner, a rule-based learning algorithm
- First-order reduction, a very weak type of reduction between two computational problems
- First-order resolution
- First-order stochastic dominance
Differential equations - Exact first-order ordinary differential equation
- First-order differential equation
- First-order differential operator
- First-order linear differential equation
- First-order non-singular perturbation theory
- First-order partial differential equation, a partial differential equation that involves only first derivatives of the unknown function of n variables
- Order of accuracy
Logic - First-order language
- First-order logic, a formal logical system used in mathematics, philosophy, linguistics, and computer science
- First-order predicate, a predicate that takes only individual(s) constants or variables as argument(s)
- First-order predicate calculus
- First-order theorem provers
- First-order theory
- Monadic first-order logic
Chemistry - First-order fluid, another name for a power-law fluid with exponential dependence of viscosity on temperature
- First-order reaction a first-order chemical reaction
- First-order transition
Computer science - First-order abstract syntax
- First-order function
- First-order query
Other uses - First-order desire
- First-order election, in political science, the relative importance of certain elections
- First order Fresnel lens
See also - First-order stream in Strahler stream order
- First Order (Star Wars), the principal antagonists in the Star Wars sequel trilogy
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