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

Graphical Representation of Inequalities01:28

Graphical Representation of Inequalities

390
The graph of the equation where y equals x squared forms a curve known as a parabola. This curve acts as a boundary in the coordinate plane, dividing it into distinct regions based on the relative position of points.When the equality sign in the equation is replaced with an inequality—such as greater than, less than, greater than or equal to, or less than or equal to—the graphical representation changes from a single curve into a broader shaded area that signifies the set of all...
390
Graphs of Functions01:30

Graphs of Functions

499
Graphs of functions provide a visual representation of how output values change in response to varying inputs. Each point on the graph corresponds to an ordered pair, where the x-coordinate (independent variable) determines the horizontal position and the y-coordinate (dependent variable) determines the vertical position. Linear functions like y = x give a straight line, indicating a constant rate of change.Nonlinear functions display more complex behaviors. Even power functions generate...
499
Graphs of Equations in Two Variables01:30

Graphs of Equations in Two Variables

377
An equation with two variables, typically written in the form y = f(x) or Ax + By = C, describes a relationship between quantities represented by x and y. Each solution to such an equation is an ordered pair (x, y) that satisfies the equation when substituted. These pairs can be represented graphically to understand the variables' relationship visually.A common technique for constructing the graph of a two-variable equation is to create a value table. Begin by choosing several values for the...
377
Graphs of Polar Equations01:17

Graphs of Polar Equations

416
The polar coordinate system represents points using a distance from a central point (the pole) and an angle from a reference direction (the polar axis). Unlike rectangular coordinates, polar coordinates are ideal for graphing curves with radial symmetry or periodic behavior.Some general forms of graphs in polar coordinates include the following:Equation of a Circle (Centered at the Pole):A graph where the radius remains constant for all angles traces a circle centered at the pole:Equation of a...
416
Extraction: Partition and Distribution Coefficients01:14

Extraction: Partition and Distribution Coefficients

5.5K
The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an...
5.5K
Block Diagram Reduction01:22

Block Diagram Reduction

666
The process of deriving the transfer function of a control system often involves reducing its block diagram to a single block. This simplification can be achieved through a series of strategic operations, including relocating branch points and comparators. These operations preserve the overall function of the system while allowing for easier manipulation and combination of blocks.
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
666

You might also read

Related Articles

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

Sort by
Same author

Semantic Frame Interpolation.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same author

Gelatin-Syringaldehyde-Zinc Hydrogel: A Triple-Action Bioactive Dressing for Infected Wound Regeneration.

ACS applied bio materials·2026
Same author

Mung Bean Protein-Derived Bioink with Synergistic Antioxidant and Antibacterial Properties for Cartilage Regeneration.

ACS applied materials & interfaces·2026
Same author

A Photothermally Active CuS-Nanocomposite Hydrogel for Postsurgical Melanoma Management and Tissue Regeneration.

ACS applied bio materials·2026
Same author

Research on equity and utilization efficiency of health resource allocation in Anhui Province.

BMC health services research·2026
Same author

Bioelectric ink bridge: An electroactive casein bioink for cartilage regeneration by actively restoring the electrophysiological niche.

Biomaterials·2026

Related Experiment Video

Updated: Apr 4, 2026

ExCYT: A Graphical User Interface for Streamlining Analysis of High-Dimensional Cytometry Data
05:12

ExCYT: A Graphical User Interface for Streamlining Analysis of High-Dimensional Cytometry Data

Published on: January 16, 2019

12.1K

Dense Subgraph Partition of Positive Hypergraphs.

Hairong Liu, Longin Jan Latecki, Shuicheng Yan

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |September 10, 2015
    PubMed
    Summary

    We introduce dense subgraph partition (DSP), a new framework to precisely decompose positive hypergraphs into dense subgraphs. DSP efficiently uncovers clusters and outliers, offering a unified approach for various graph types.

    Area of Science:

    • Graph theory
    • Data mining
    • Machine learning

    Background:

    • Positive hypergraphs with weighted edges require effective decomposition methods.
    • Existing methods may lack precision or efficiency in uncovering dense subgraphs.
    • Identifying clusters and outliers is crucial in various data analysis tasks.

    Purpose of the Study:

    • To present a novel partition framework, dense subgraph partition (DSP), for decomposing positive hypergraphs.
    • To develop an efficient algorithm for computing the dense subgraph partition.
    • To establish the relationship between DSP and the densest k-subgraph problem (DkS).

    Main Methods:

    • Definition of core subgraph, conditional core subgraph, and disjoint partition.
    • Development of the dense subgraph partition (DSP) framework.

    More Related Videos

    Generating Strictly Controlled Stimuli for Figure Recognition Experiments
    05:39

    Generating Strictly Controlled Stimuli for Figure Recognition Experiments

    Published on: March 18, 2019

    5.6K
    Soft Pneumatic Robot Modulates Graph Theory Metrics of Brain Network for Hand Rehabilitation After Stroke
    05:30

    Soft Pneumatic Robot Modulates Graph Theory Metrics of Brain Network for Hand Rehabilitation After Stroke

    Published on: October 10, 2025

    604

    Related Experiment Videos

    Last Updated: Apr 4, 2026

    ExCYT: A Graphical User Interface for Streamlining Analysis of High-Dimensional Cytometry Data
    05:12

    ExCYT: A Graphical User Interface for Streamlining Analysis of High-Dimensional Cytometry Data

    Published on: January 16, 2019

    12.1K
    Generating Strictly Controlled Stimuli for Figure Recognition Experiments
    05:39

    Generating Strictly Controlled Stimuli for Figure Recognition Experiments

    Published on: March 18, 2019

    5.6K
    Soft Pneumatic Robot Modulates Graph Theory Metrics of Brain Network for Hand Rehabilitation After Stroke
    05:30

    Soft Pneumatic Robot Modulates Graph Theory Metrics of Brain Network for Hand Rehabilitation After Stroke

    Published on: October 10, 2025

    604
  • Implementation of a divide-and-conquer algorithm, min-partition evolution, for efficient computation.

    • Main Results:

    • DSP provides an ordered list of dense subgraphs with decreasing densities, revealing clusters and outliers.
    • The min-partition evolution algorithm is time-efficient, memory-friendly, and suitable for parallel processing.
    • DSP offers precise solutions to the densest k-subgraph problem (DkS) for graphs where the critical k-set size is near the number of vertices.

    Conclusions:

    • DSP is a nonparametric, unified partition framework applicable to diverse graphs and hypergraphs.
    • The min-partition evolution algorithm provides an exact and efficient solution for DSP.
    • DSP demonstrates significant advantages in uncovering underlying data structures and solving fundamental graph problems.