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

SFG Algebra01:16

SFG Algebra

424
In Signal Flow Graph (SFG) algebra, the value a node represents is determined by the sum of all signals entering that node. This summed value is then transmitted through every branch leaving the node, making the SFG a powerful tool for visualizing and analyzing control systems.
Each node in an SFG corresponds to a variable, and the interactions between nodes are represented by branches with associated gains. When multiple branches lead into a node, the value at that node is the sum of the...
424
Stability of structures01:14

Stability of structures

636
In mechanical engineering, the stability of systems under various forces is critical for designing durable and efficient structures. One fundamental way to explore these concepts is by analyzing systems like two rods connected at a pivot point, O, with a torsional spring of spring constant k at the pivot point. This system is similar in appearance to a scissor jack used to change tires on a car. In this case, the arms of the linkage (equivalent to the rods in this system) are entirely vertical,...
636
Sequence Networks of Rotating Machines01:24

Sequence Networks of Rotating Machines

550
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
550
Divergence and Stokes' Theorems01:06

Divergence and Stokes' Theorems

4.3K
The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...
4.3K
Rationalizing Substitutions01:29

Rationalizing Substitutions

156
Integrals involving non-rational functions are often difficult to evaluate using standard techniques, especially when radicals appear in the integrand. Rationalizing substitution provides a systematic method for simplifying such integrals by converting them into rational forms that are easier to handle.Consider a rod whose linear mass density depends on a constant linear density, a characteristic length, and the distance from the left end of the rod. Determining the total mass requires...
156
Introduction to Structures01:30

Introduction to Structures

2.1K
A structure is defined as a system of interconnected members designed to support or transfer forces and successfully withstand the loads acting on them. The internal forces of a structure can be determined by decomposing the structure and analyzing the free-body diagrams of the individual members or of a combination of members. This helps in understanding the structural elements' behavior and ensuring that the structure is stable and can withstand the subjected loads.
There are three main...
2.1K

You might also read

Related Articles

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

Sort by
Same author

[Fluid management in orthotopic liver transplantation].

Zhongguo wei zhong bing ji jiu yi xue = Chinese critical care medicine = Zhongguo weizhongbing jijiuyixue·2006
Same author

Electromagnetic modelling of Raman enhancement from nanoscale substrates: a route to estimation of the magnitude of the chemical enhancement mechanism in SERS.

Faraday discussions·2006
Same author

[Experimental study on protective effects of HupA in the treatment of isocarbophos poisoning].

Zhonghua lao dong wei sheng zhi ye bing za zhi = Zhonghua laodong weisheng zhiyebing zazhi = Chinese journal of industrial hygiene and occupational diseases·2006
Same author

[Complete sequence and gene organization of the Tibetan chicken mitochondrial genome].

Yi chuan = Hereditas·2006
Same author

Liver microcirculation after hepatic artery embolization with degradable starch microspheres in vivo.

World journal of gastroenterology·2006
Same author

A recyclable fluorous (S)-pyrrolidine sulfonamide promoted direct, highly enantioselective Michael addition of ketones and aldehydes to nitroolefins in water.

Organic letters·2006
Same journal

GMSA: A Graph Matching and Point Cloud Registration-Based Method for Spatial Transcriptomics Data Alignment.

Journal of computational biology : a journal of computational molecular cell biology·2026
Same journal

Investigations on Multiple Protein Scaffold Filling.

Journal of computational biology : a journal of computational molecular cell biology·2026
Same journal

Cell Type Prediction for Single-Cell RNA Sequencing Utilizing Unsupervised Domain Adaptation and Semi-Supervised Learning.

Journal of computational biology : a journal of computational molecular cell biology·2026
Same journal

PPIGAN: Prediction of Protein-Protein Interactions Using Generative Adversarial Networks.

Journal of computational biology : a journal of computational molecular cell biology·2026
Same journal

Deep Structure-Enhanced Cell Clustering Model for Single-Cell RNA Sequencing Data.

Journal of computational biology : a journal of computational molecular cell biology·2026
Same journal

Asymmetric Drug-Drug Interaction Prediction Based on Generative Adversarial Networks and Knowledge Graph.

Journal of computational biology : a journal of computational molecular cell biology·2026
See all related articles

Related Experiment Video

Updated: Apr 20, 2026

Applications of Immobilization of Drosophila Tissues with Fibrin Clots for Live Imaging
08:52

Applications of Immobilization of Drosophila Tissues with Fibrin Clots for Live Imaging

Published on: December 22, 2020

3.8K

Zigzag stacks and m-regular linear stacks.

William Y C Chen1, Qiang-Hui Guo, Lisa H Sun

  • 11 Center for Combinatorics, The Key Laboratory of Pure Mathematics and Combinatorics of Ministry of Education of China and Tianjin Key Laboratory of Combinatorics (LPMC-TJKLC), Nankai University , Tianjin, P.R. China .

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|December 3, 2014
PubMed
Summary
This summary is machine-generated.

This study introduces m-regular linear stacks, generalizing RNA secondary structures. We derive a generating function and asymptotic formulas for counting these structures, providing new insights into graph decomposition and RNA folding.

Keywords:
contact mapm-regular linear stackproteinzigzag stack.

More Related Videos

Design and Synthesis of a Reconfigurable DNA Accordion Rack
07:44

Design and Synthesis of a Reconfigurable DNA Accordion Rack

Published on: August 15, 2018

7.6K
Generating Strictly Controlled Stimuli for Figure Recognition Experiments
05:39

Generating Strictly Controlled Stimuli for Figure Recognition Experiments

Published on: March 18, 2019

5.7K

Related Experiment Videos

Last Updated: Apr 20, 2026

Applications of Immobilization of Drosophila Tissues with Fibrin Clots for Live Imaging
08:52

Applications of Immobilization of Drosophila Tissues with Fibrin Clots for Live Imaging

Published on: December 22, 2020

3.8K
Design and Synthesis of a Reconfigurable DNA Accordion Rack
07:44

Design and Synthesis of a Reconfigurable DNA Accordion Rack

Published on: August 15, 2018

7.6K
Generating Strictly Controlled Stimuli for Figure Recognition Experiments
05:39

Generating Strictly Controlled Stimuli for Figure Recognition Experiments

Published on: March 18, 2019

5.7K

Area of Science:

  • Computational Biology
  • Graph Theory
  • Bioinformatics

Background:

  • Protein contact maps can be represented as graphs, decomposable into stacks and queues.
  • RNA secondary structures are specific types of stacks with constraints on vertex degree and arc length.
  • Previous work established formulas and algorithms for RNA secondary structures and extended versions.

Purpose of the Study:

  • To generalize the concept of RNA secondary structures to m-regular linear stacks.
  • To derive a generating function for m-regular linear stacks for any m >= 2.
  • To establish recurrence relations and asymptotic formulas for counting these structures.

Main Methods:

  • Utilized a reduction operation to transform m-regular linear stacks into m-reduced zigzag stacks.
  • Derived an equation for the generating function of m-reduced zigzag stacks.
  • Transferred the generating function equation to m-regular linear stacks.

Main Results:

  • Obtained a general equation for the generating function of m-regular linear stacks for m >= 2.
  • Deduced a recurrence relation for the number of m-regular linear stacks on n vertices.
  • Derived an asymptotic formula for the count of m-regular linear stacks.

Conclusions:

  • The study provides a comprehensive mathematical framework for analyzing m-regular linear stacks.
  • The derived formulas and relations offer new tools for understanding graph structures related to RNA.
  • This work extends previous findings on RNA secondary structures and their combinatorial properties.