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The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
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Updated: Feb 28, 2026

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New Space-Time Metaphors Foster New Nonlinguistic Representations.

Rose K Hendricks1, Lera Boroditsky1

  • 1Department of Cognitive Science, University of California, San Diego.

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PubMed
Summary
This summary is machine-generated.

Learning new relational language, like vertical time metaphors, creates new cognitive representations. These new mental models are robust and expand our thinking capabilities, similar to existing spatial-time associations.

Keywords:
MetaphorNonlinguisticRelational languageRepresentationSpaceTime

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Area of Science:

  • Cognitive Science
  • Linguistics
  • Psychology

Background:

  • Language shapes human cognition and knowledge construction.
  • Relational language may influence abstract representations.

Purpose of the Study:

  • To investigate if learning new relational language can create novel ways of thinking.
  • To determine if newly acquired linguistic representations are susceptible to interference.

Main Methods:

  • Experiment 1: Taught English speakers vertical time metaphors (e.g., 'breakfast is above dinner').
  • Experiment 2: Utilized existing left-right time representations from visuospatial experience.
  • Assessed susceptibility to verbal and visual interference using nonlinguistic tasks.

Main Results:

  • Learning new metaphors formed new space-time associations.
  • Newly learned representations were resistant to verbal interference.
  • Metaphor-based representations behaved similarly to long-term visuospatial ones under interference.

Conclusions:

  • Acquiring new relational language can construct novel cognitive representations.
  • Linguistic metaphors serve as powerful tools for expanding cognitive repertoire.
  • Language-based representations are as robust as those from visuospatial experience.