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The property of an inductor makes it resist any change in the current passing through it, while the property of a capacitor is to build up the charge across its terminals. Hence, if an inductor and capacitor are connected in series, they have opposite effects on the relative phase between current and voltage. The current through the circuit undergoes forced oscillation at the frequency of the source. The resistance term in an R-L-C circuit acts as a damping term because power is dissipated...
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In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
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The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
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Measuring Statistical Learning Across Modalities and Domains in School-Aged Children Via an Online Platform and Neuroimaging Techniques
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Resonant learning in scale-free networks.

Samuel Goldman1, Maximino Aldana2,3, Philippe Cluzel1

  • 1Department of Molecular and Cellular Biology, Harvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts, United States of America.

Plos Computational Biology
|February 22, 2023
PubMed
Summary
This summary is machine-generated.

Periodic activation of network hubs, termed resonant learning, enables networks to rapidly learn new behaviors. This strategy accelerates evolutionary learning by an order of magnitude, offering an alternative to modular network design.

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Area of Science:

  • Complex Systems
  • Computational Biology
  • Evolutionary Computation

Background:

  • Large interconnected networks exhibit complex dynamics.
  • Understanding how these networks learn new behaviors is a key challenge.
  • Network modularity is a known strategy for evolutionary learning.

Purpose of the Study:

  • To investigate design principles enabling networks to learn new behaviors.
  • To explore the role of periodic activation of network hubs in learning.
  • To introduce and define the concept of resonant learning.

Main Methods:

  • Utilized Boolean networks as a prototype model.
  • Implemented periodic activation of network hubs.
  • Analyzed network dynamics and evolutionary learning processes.
  • Compared learning speed with and without hub oscillations.

Main Results:

  • Periodic hub oscillations confer a network-level advantage in evolutionary learning.
  • Networks can learn distinct target functions simultaneously via different hub oscillations (resonant learning).
  • Resonant learning accelerates the acquisition of new behaviors by an order of magnitude compared to non-oscillatory methods.

Conclusions:

  • Forced hub oscillations provide an alternative evolutionary learning strategy.
  • Resonant learning is effective even in networks lacking modular architecture.
  • Periodic hub activation is a powerful mechanism for enhancing network adaptability and learning speed.