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

Second Derivatives of Implicit Functions01:29

Second Derivatives of Implicit Functions

118
Elliptical arches are fundamental in architectural and structural engineering, offering aesthetic appeal and structural efficiency. The shape of an elliptical arch follows a constrained geometric relationship where the height and horizontal position are implicitly related. This means that the height y cannot be explicitly expressed as a function of the horizontal position x, necessitating implicit differentiation for slope and curvature analysis.The equation of an ellipse centered at the origin...
118
Norton's Theorem01:14

Norton's Theorem

1.7K
Norton's theorem is a fundamental principle stating that a linear two-terminal circuit can be substituted with an equivalent circuit, which comprises a current source (ⅠN) in parallel with a resistor (RN). Here, ⅠN represents the short-circuit current flowing through the terminals, and RN stands for the input or equivalent resistance at the terminals when all independent sources are deactivated. This implies that the circuit illustrated in Figure (a) can be exchanged with the one depicted...
1.7K
Euler's Formula to Columns with Other End Conditions01:15

Euler's Formula to Columns with Other End Conditions

1.2K
Euler's formula is very important in the field of structural engineering, providing a foundation for understanding the critical loading conditions of pin-ended columns. This formula links the modulus of elasticity, the moment of inertia of the cross-section, and the column's length, offering a precise calculation of the critical load at which a column is prone to buckling.
1.2K
Synthetic Disvision of Polynomials01:28

Synthetic Disvision of Polynomials

273
Synthetic division is an efficient algorithmic approach for dividing a polynomial by a linear binomial of the form x - c, where c is a real number. This method is helpful due to its streamlined process, which avoids the more cumbersome steps involved in the traditional long division of polynomials. It simplifies computation and serves as a practical tool for evaluating polynomials and identifying their factors.To perform synthetic division, one begins by listing the coefficients of the...
273
Euler's Formula for Pin-Ended Columns01:21

Euler's Formula for Pin-Ended Columns

824
In structural engineering, the stability of columns under compressive axial loads is a critical consideration, described as buckling. A typical example involves a column PQ, which is pin-connected at both ends and subjected to a centric axial load F applied at one end, with a reaction force of F' = -F at the other end. Here, it is crucial to understand that when an applied load exceeds the critical load, buckling occurs as the system becomes unstable.
To calculate the critical load, envision...
824
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

647
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
647

You might also read

Related Articles

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

Sort by
Same author

De Novo Transcriptomic Profiling of <i>Piper chaba</i>: Elucidating the Genetic Basis of Piperine Biosynthesis and Metabolic Pathways.

International journal of genomics·2026
Same author

Cdc42-Modified BMSC-Derived exosomes promote acellular nerve allografts to bridge sciatic nerve defects.

Cell transplantation·2026
Same author

The RNA-binding protein RBFOX2 suppresses colorectal cancer proliferation and metastasis by reducing FUBP1 mRNA stability to induce mitochondrial dysfunction and ferroptosis.

Discover oncology·2026
Same author

BMSC-Derived Exosomal miR-874-3p Protects against OGD/R-Induced Neuronal Injury in PC12 Cells via Regulating KPNA4.

Neurochemical research·2026
Same author

The emerging roles of yeasts as plant growth promoters: mechanisms, benefits, and agricultural applications.

World journal of microbiology & biotechnology·2026
Same author

A metagenomic survey of the rhizosphere bacterial community of P. longum from the herbal garden, Dayalbagh Educational Institute (D.E.I), Agra, India.

World journal of microbiology & biotechnology·2026

Related Experiment Video

Updated: Mar 15, 2026

Electron Channeling Contrast Imaging for Rapid III-V Heteroepitaxial Characterization
07:50

Electron Channeling Contrast Imaging for Rapid III-V Heteroepitaxial Characterization

Published on: July 17, 2015

11.7K

Constructing Pairing-Friendly Elliptic Curves under Embedding Degree 1 for Securing Critical Infrastructures.

Maocai Wang1,2, Guangming Dai1,2, Kim-Kwang Raymond Choo1,2,3

  • 1School of Computer, China University of Geosciences, Wuhan, Hubei, China.

Plos One
|August 27, 2016
PubMed
Summary

This study introduces efficient methods for creating pairing-friendly elliptic curves, crucial for enhancing cybersecurity in critical infrastructure. These new curves improve the performance of identity-based cryptography, making it more practical for real-world applications.

Related Experiment Videos

Last Updated: Mar 15, 2026

Electron Channeling Contrast Imaging for Rapid III-V Heteroepitaxial Characterization
07:50

Electron Channeling Contrast Imaging for Rapid III-V Heteroepitaxial Characterization

Published on: July 17, 2015

11.7K

Area of Science:

  • Cryptography
  • Cybersecurity
  • Applied Mathematics

Background:

  • Information confidentiality is vital for critical infrastructure cybersecurity.
  • Identity-based cryptography offers efficient key management but faces computational challenges.
  • Existing methods for constructing pairing-friendly elliptic curves can be computationally intensive.

Purpose of the Study:

  • To develop an effective method for constructing pairing-friendly elliptic curves with low Hamming weight.
  • To improve the efficiency of identity-based cryptography for practical applications.
  • To present novel algorithms for generating these specialized elliptic curves.

Main Methods:

  • Analysis of the Complex Multiplication (CM) method.
  • Development of algorithms for calculating finite field characteristics.
  • Construction of elliptic curves with low Hamming weight (4) and specific embedding degrees (1).

Main Results:

  • A proven method for calculating the characteristic of finite fields for curve construction.
  • Three algorithms for generating pairing-friendly elliptic curves.
  • Presentation of 10 new 160-bit elliptic curves with low Hamming weight 4.
  • Demonstrated efficiency improvements in Tate pairing computations compared to existing methods.

Conclusions:

  • The proposed method effectively constructs efficient pairing-friendly elliptic curves.
  • The new curves enhance the performance of identity-based cryptography.
  • This research contributes to more secure and practical cybersecurity solutions for critical infrastructure.