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Related Concept Videos

Absolute and Local Extreme Values01:22

Absolute and Local Extreme Values

The highest and lowest values of a function, relative to a reference axis, are known as extreme values. These include absolute maximum and absolute minimum values, which represent the highest and lowest points the function reaches across its entire domain. Within a restricted portion of the function, the highest and lowest values are referred to as local maximum and local minimum values, respectively.Periodic functions, such as sine and cosine, show extreme values at infinitely many points due...
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Protein Networks

An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
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Protein Networks

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Entropy Changes Accompanying Specific Processes01:21

Entropy Changes Accompanying Specific Processes

Entropy, a measure of disorder in a system, changes during phase transitions like freezing or boiling. At the transition temperature Ttrs, where two phases are in equilibrium, the phase transition is a reversible process. The entropy change can be calculated from a substance's enthalpy of transition using the equation ΔStrs = ΔtrsH /Ttrs.When a perfect gas expands isothermally from one volume to another, entropy increases logarithmically with volume. Conversely, isothermal compression results...
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

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Related Experiment Video

Updated: Jun 1, 2026

Network Analysis of Foramen Ovale Electrode Recordings in Drug-resistant Temporal Lobe Epilepsy Patients
09:32

Network Analysis of Foramen Ovale Electrode Recordings in Drug-resistant Temporal Lobe Epilepsy Patients

Published on: December 18, 2016

Extreme events on complex networks.

Vimal Kishore1, M S Santhanam, R E Amritkar

  • 1Physical Research Laboratory, Navrangpura, Ahmedabad, India.

Physical Review Letters
|June 4, 2011
PubMed
Summary
This summary is machine-generated.

Small degree nodes in networks are surprisingly more prone to extreme events than hubs. This study uses a random walk model to analyze network transport, offering insights for designing robust network infrastructure.

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Last Updated: Jun 1, 2026

Network Analysis of Foramen Ovale Electrode Recordings in Drug-resistant Temporal Lobe Epilepsy Patients
09:32

Network Analysis of Foramen Ovale Electrode Recordings in Drug-resistant Temporal Lobe Epilepsy Patients

Published on: December 18, 2016

Area of Science:

  • Network science
  • Complex systems analysis
  • Transport phenomena

Background:

  • Extreme events, such as traffic jams and floods, frequently occur on various types of networks.
  • Understanding the dynamics of these events is crucial for network resilience and management.

Purpose of the Study:

  • To investigate the occurrence and characteristics of extreme events on networks using a random walk model.
  • To identify which network components are most susceptible to extreme events.

Main Methods:

  • Employing a random walk model to simulate transport processes on networks.
  • Utilizing analytical and numerical methods to derive results for extreme events.
  • Analyzing recurrence time distributions and probability scaling for extreme events.

Main Results:

  • A key finding is that nodes with low degrees (non-hubs) are more likely to experience extreme events compared to high-degree nodes (hubs).
  • The study characterizes the recurrence time distribution and scaling of extreme event probabilities.
  • The observed phenomenon is robust across different network structures.

Conclusions:

  • The findings challenge conventional network design principles that often focus on protecting hubs.
  • Results provide a basis for revising network design strategies to enhance resilience against extreme events.
  • The study suggests incorporating insights about small-degree node vulnerability into future network infrastructure planning.