Definition of first-order in English:

first-order

adjective

  • 1Relating to the simplest or most fundamental level of organization, experience, or analysis; primary or immediate.

    ‘for a teacher, of course, drama must be a first-order experience’
    • ‘Moreover, in the largest trees, it was not always clear if it was the primary root or a first-order lateral that formed the observed main axis.’
    • ‘Now, the problem is simply this: If a person can be conflicted at the level of her first-order desires, she can also be conflicted at the second, or even at higher-orders.’
    • ‘Lateral branches growing directly from the primary trunk are designated first-order branches.’
    • ‘While indeed true, these interests might be considered immediate or first-order.’
    • ‘The simple first-order political discriminator experiences no conflict in categorizing disvaluees as inferior beings to be suppressed and exploited.’
    • ‘This makes is seem inevitable that the scanning device which supposedly generates higher-order experiences of our first-order visual experience would have to be almost as sophisticated and complex as the visual system itself.’
    • ‘It is possible to include a first-order approximation of mass transport influence in the distribution analysis, based on compartment models.’
    • ‘Gödel proved inductively that every primitive recursive function can be simply represented in first-order number theory.’
    • ‘For example, a first-order scarcity can be managed by desert communities because they have developed social institutions as coping strategies.’
    • ‘It mixes first-order statements about rights and responsibilities with second-order legal arrangements and often vague policy aspirations.’
    • ‘His primary concerns are the first-order issues, such as dispelling the misconceptions about the peace process.’
    • ‘This is because one or more of the kinetic processes of the drug (absorption, distribution, and/or elimination) may be via a process other than simple first-order kinetics.’
    • ‘It is not necessary to try to ascend to a level of second-order reasons (for acting on first-order reasons) in a desperate bid to render this conception of action intelligible.’
    • ‘‘There shouldn't be any sense that there's a first-order culture in the large cities and a slightly second-order culture everywhere else in the country,’ he explains.’
    • ‘These first-order questions about the fundamental architecture and evolution of Laurentia have presented themselves loud and clear since the 1975 paper of Christie et al., yet they remain unresolved.’
    • ‘Unlike first-order theories, the tool chest of a mathematics educator can never be complete.’
    • ‘The regional crisis proved that concerns like human-rights abuses, lawlessness, and ideological extremism could quickly mount into first-order geopolitical crises.’
    1. 1.1technical Having an order of one, especially denoting mathematical equations involving only the first power of the independent variable or only the first derivative of a function.
      • ‘The first-order rate equation can be used under conditions where micro-organisms become acclimatized to the chemical and can actively use it.’
      • ‘The model for kinetics of digestion was a simple first-order kinetic equation with a discrete lag time.’
      • ‘Here, a series of first-order partial differential equations are set up to quantify the steady- and unsteady-state flux corresponding to the cells in the free stream, the rolling cells, and the firmly adherent cells.’
      • ‘In the 1815 paper, which Pfaff submitted to the Berlin Academy on 11 May, he presented a transformation of a first-order partial differential equation into a differential system.’
      • ‘The dynamics are therefore described by the following first-order, linear differential equations for the growth of and switching between the two subpopulations’

Pronunciation

first-order

/ˈfərstˌôrdər/