Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Unsymmetric Bending - Angle of Neutral Axis

Unsymmetric Bending - Angle of Neutral Axis

Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal centroidal axes. The...

Normal and Tangetial Components: Problem Solving

Normal and Tangetial Components: Problem Solving

Consider a man with a mass of 70 kg seated in a chair connected to a pin support through a member BC. If the man maintains an upright position, the task is to determine the horizontal and vertical reactions of the chair on the man when the member makes a 45° angle with the horizontal. At this moment, the man has a speed of 5 m/s, increasing at a rate of 1 m/s².

Reduction of Alkynes to trans-Alkenes: Sodium in Liquid Ammonia

Reduction of Alkynes to trans-Alkenes: Sodium in Liquid Ammonia

Alkynes can be reduced to trans-alkenes using sodium or lithium in liquid ammonia. The reaction, known as dissolving metal reduction, proceeds with an anti addition of hydrogen across the carbon–carbon triple bond to form the trans product. Since ammonia exists as a gas (bp = −33°C) at room temperature, the reaction is carried out at low temperatures using a mixture of dry ice (sublimes at −78°C) and acetone.
When dissolved in liquid ammonia, an alkali metal, such as sodium, dissociates into a...

You might also read

Related Articles

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

Sort by

Same author

Cell geometry and membrane protein crowding constrain Escherichia coli growth rate, overflow metabolism, respiration, and maintenance energy.

FEBS letters·2026

Same author

Effect of transcriptional delay on ribosome abundance control.

Journal of mathematical biology·2026

Same author

Report statistical power to right-size sample sizes for hand hygiene adherence.

American journal of infection control·2026

Same author

Joint Realizability of Monotone Boolean Functions.

Theoretical computer science·2025

Same author

Oscillator death in coupled biochemical oscillators.

Mathematics of control, signals, and systems : MCSS·2025

Same author

Cellular Economics of Exchanged Metabolites Alter Ratios of Microbial Trading Partners in a Predictable Manner.

ACS synthetic biology·2025

Same journal

Spatial Coherence Loss: All Objects Matter in Salient and Camouflaged Object Detection.

Pattern recognition·2026

Same journal

LDM-Morph: Latent diffusion model guided deformable image registration.

Pattern recognition·2026

Same journal

Variable Priority for Unsupervised Variable Selection.

Pattern recognition·2026

Same journal

A Deep Spatio-Temporal Architecture for Dynamic ECN Analysis with Granger Causality based Causal Discovery.

Pattern recognition·2025

Same journal

Medical image segmentation using dual-decoder mutual teaching with a mean teacher framework.

Pattern recognition·2025

Same journal

Multi-graph Graph matching for coronary artery semantic labeling in invasive coronary angiograms.

Pattern recognition·2025

See all related articles

Search research articles

Related Experiment Video

Updated: Jun 25, 2026

Dry Oxidation and Vacuum Annealing Treatments for Tuning the Wetting Properties of Carbon Nanotube Arrays

Dry Oxidation and Vacuum Annealing Treatments for Tuning the Wetting Properties of Carbon Nanotube Arrays

Published on: April 15, 2013

Annealing and the Normalized N-Cut.

Tomáš Gedeon¹, Albert E Parker, Collette Campion

¹Department of Mathematical Sciences, Montana State University, Bozeman, MT 59715, USA.

Pattern Recognition

|February 5, 2009

Summary

This summary is machine-generated.

We present an annealing method for normalized N-cut graph computation. This technique efficiently segments data into K clusters, adaptable to various dataset sizes by controlling annealing parameters.

More Related Videos

Surrogate Model Development for Digital Experiments in Welding

Surrogate Model Development for Digital Experiments in Welding

Published on: March 28, 2025

Fabrication of Uniform Nanoscale Cavities via Silicon Direct Wafer Bonding

Fabrication of Uniform Nanoscale Cavities via Silicon Direct Wafer Bonding

Published on: January 9, 2014

Related Experiment Videos

Last Updated: Jun 25, 2026

Dry Oxidation and Vacuum Annealing Treatments for Tuning the Wetting Properties of Carbon Nanotube Arrays

Dry Oxidation and Vacuum Annealing Treatments for Tuning the Wetting Properties of Carbon Nanotube Arrays

Published on: April 15, 2013

Surrogate Model Development for Digital Experiments in Welding

Surrogate Model Development for Digital Experiments in Welding

Published on: March 28, 2025

Fabrication of Uniform Nanoscale Cavities via Silicon Direct Wafer Bonding

Fabrication of Uniform Nanoscale Cavities via Silicon Direct Wafer Bonding

Published on: January 9, 2014

Area of Science:

Graph theory
Computational mathematics
Data science

Background:

Normalized N-cut is a graph partitioning technique.
Existing methods may lack flexibility in determining the number of clusters (K).
High-dimensional data clustering and image segmentation are challenging problems.

Purpose of the Study:

To introduce a novel annealing procedure for computing the normalized N-cut of a weighted graph.
To demonstrate the algorithm's capability to yield solutions for the normalized 2-cut and N-cut problems.
To show the flexibility of the method in clustering data into K clusters, where 2 <= K <= N.

Main Methods:

An annealing procedure is described for graph partitioning.
The method involves phase transitions to approximate normalized 2-cut and then compute normalized N-cut.
Intermediate solutions offer refinements for splitting data into K clusters.

Main Results:

The annealing procedure successfully computes the normalized N-cut.
The method provides a sequence of cluster refinements from 2 to N clusters.
The algorithm requires only the upper limit N for the number of expected clusters.

Conclusions:

The proposed annealing approach offers a flexible and effective method for normalized N-cut graph partitioning.
The algorithm is applicable to image segmentation and high-dimensional data clustering.
Controlling the annealing parameter allows for obtaining any desired number of clusters K within the specified range.