Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Integration by Parts: Indefinite Integrals01:26

Integration by Parts: Indefinite Integrals

171
Integration by parts is a fundamental technique in calculus for evaluating integrals involving the product of two functions. It is particularly useful when direct integration is not feasible. The method is based on the product rule for differentiation, which states that the derivative of a product equals the derivative of the first function times the second, plus the first function times the derivative of the second. By integrating this identity and rearranging terms, the integration by parts...
171
Integration by Parts: Definite Integrals01:23

Integration by Parts: Definite Integrals

80
Definite integrals involving the product of two functions over a fixed interval can be evaluated using integration by parts. This method rewrites the integral as the difference of a product evaluated at the endpoints and a remaining definite integral that is often simpler to compute.A representative example is the definite integral of the inverse tangent function. Since there is no direct integration formula for arctan ⁡x, the integrand is rewritten as a product of arctan⁡ x and the...
80
Integrator and Differentiator01:13

Integrator and Differentiator

1.4K
Op-amp circuits have significant applications in various fields, including automotive engineering. One such application is cruise control systems in cars, where op-amp circuits are integral for maintaining a constant speed. In these systems, op-amps function as both integrators and differentiators.
An integrator within an op-amp circuit produces an output directly proportional to the integral of the input signal. This is achieved by replacing the feedback resistor in a typical inverting...
1.4K
Definite Integral01:29

Definite Integral

69
Consider a real-valued function defined on a closed interval. One of the fundamental objectives in calculus is to determine the area under the graph of such a function. When an exact computation is not readily available, this area can be estimated by dividing the interval into a finite number of equal subintervals. Each subinterval corresponds to a rectangle whose width is the length of the subinterval and whose height is determined by the value of the function at a selected point within that...
69
Indefinite Integrals01:25

Indefinite Integrals

69
The water inflow rate into a storage tank is not constant but increases over time. Initially, the pump delivers water at a rate of 5 L/min. However, the inflow rate increases by 2 L/min for each additional minute due to rising pressure or system adjustments. This scenario can be described mathematically by a linear function:It is necessary to integrate the inflow rate function to measure the total volume of water added to the tank over time. The total water volume V(t) is obtained by performing...
69
Integration by Parts: Problem Solving01:29

Integration by Parts: Problem Solving

66
Smart speakers process voice commands by modeling audio inputs as piecewise functions and analyzing them through integration against trigonometric functions, such as cosine. This mathematical approach is fundamental in signal processing, where complex sound waves are decomposed into simpler frequency components.Consider a definite integral involving a piecewise function multiplied by a cosine function. Because the function is defined differently over separate intervals, the integral is split...
66

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Cognitively augmented behavioral activation for veterans with comorbid mild traumatic brain injury and posttraumatic stress disorder.

Journal of traumatic stress·2026
Same author

Frequency-based deep learning to identify subtle postural instability in early, untreated Parkinson's disease.

NPJ Parkinson's disease·2026
Same author

Corrigendum to "Adaptive mental health screening in veterans admitted to an epilepsy monitoring unit". [Epilepsy Behav. 171 (2025) 110628].

Epilepsy & behavior : E&B·2025
Same author

Adaptive mental health screening in veterans admitted to an epilepsy monitoring unit.

Epilepsy & behavior : E&B·2025
Same author

Sway frequencies may predict postural instability in Parkinson's disease: a novel convolutional neural network approach.

Journal of neuroengineering and rehabilitation·2025
Same author

When combinations of humans and AI are useful: A systematic review and meta-analysis.

Nature human behaviour·2024

Related Experiment Video

Updated: Feb 4, 2026

A Data Integration Workflow to Identify Drug Combinations Targeting Synthetic Lethal Interactions
07:40

A Data Integration Workflow to Identify Drug Combinations Targeting Synthetic Lethal Interactions

Published on: May 27, 2021

4.6K

Integrated information as a metric for group interaction.

David Engel1,2, Thomas W Malone1,2

  • 1Center for Collective Intelligence, Massachusetts Institute of Technology, Cambridge, Massachusetts, United States of America.

Plos One
|October 12, 2018
PubMed
Summary
This summary is machine-generated.

A new metric, integrated information (phi), measures group collaboration effectiveness. Higher phi correlates with better task performance in work groups and higher quality articles from Wikipedia editors.

More Related Videos

A Metric Test for Assessing Spatial Working Memory in Adult Rats Following Traumatic Brain Injury
05:53

A Metric Test for Assessing Spatial Working Memory in Adult Rats Following Traumatic Brain Injury

Published on: May 7, 2021

3.9K
Novel Metrics to Characterize Embryonic Elongation of the Nematode Caenorhabditis elegans
10:46

Novel Metrics to Characterize Embryonic Elongation of the Nematode Caenorhabditis elegans

Published on: March 28, 2016

6.3K

Related Experiment Videos

Last Updated: Feb 4, 2026

A Data Integration Workflow to Identify Drug Combinations Targeting Synthetic Lethal Interactions
07:40

A Data Integration Workflow to Identify Drug Combinations Targeting Synthetic Lethal Interactions

Published on: May 27, 2021

4.6K
A Metric Test for Assessing Spatial Working Memory in Adult Rats Following Traumatic Brain Injury
05:53

A Metric Test for Assessing Spatial Working Memory in Adult Rats Following Traumatic Brain Injury

Published on: May 7, 2021

3.9K
Novel Metrics to Characterize Embryonic Elongation of the Nematode Caenorhabditis elegans
10:46

Novel Metrics to Characterize Embryonic Elongation of the Nematode Caenorhabditis elegans

Published on: March 28, 2016

6.3K

Area of Science:

  • Social Psychology
  • Information Science
  • Computational Neuroscience

Background:

  • Mathematical techniques are widely used to analyze group interactions.
  • Integrated information (phi) is a novel metric, originally from neuroscience, quantifying differentiated information and integration.

Purpose of the Study:

  • To apply the integrated information (phi) metric to assess group interaction complexity.
  • To investigate the relationship between phi and group performance across diverse human-computer groups.

Main Methods:

  • Calculated integrated information (phi) for three distinct group types: 4-person work groups, Wikipedia editors, and internet communication networks.
  • Assessed group performance through measures of collective intelligence, article quality, and network activity over time.

Main Results:

  • Higher measured phi in 4-person work groups correlated with enhanced collective intelligence and task effectiveness.
  • Groups of Wikipedia editors with higher phi produced higher quality articles.
  • The measured phi of internet-based human-computer communication increased over a six-year period.

Conclusions:

  • Integrated information (phi) serves as a valuable metric for characterizing interactional complexity in groups.
  • Phi demonstrates potential as a predictor of group performance and a measure of effective collaboration across various contexts.