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

Pulse amplitude and quality01:17

Pulse amplitude and quality

3.2K
Pulse amplitude is a crucial indicator of cardiac health because it provides valuable insights into the strength of left ventricular contractions and the overall uniformity of blood circulation within the vasculature. The strength of the pulse is directly related to the force with which the heart contracts and the volume of blood being pumped.
A weak or absent pulse may indicate reduced cardiac output or poor left ventricular contraction, which can be signs of cardiovascular dysfunction or...
3.2K
Scatter Plot01:15

Scatter Plot

12.0K
The most common and easiest way to display the relationship between two variables, x and y, is a scatter plot. A scatter plot shows the direction of a relationship between the variables. A clear direction happens when there is either:
12.0K
Fixing Double-strand Breaks02:04

Fixing Double-strand Breaks

14.9K
The double-stranded structure of DNA has two major advantages. First, it serves as a safe repository of genetic information where one strand serves as the back-up in case the other strand is damaged. Second, the double-helical structure can be wrapped around proteins called histones to form nucleosomes, which can then be tightly wound to form chromosomes. This way, DNA chains up to 2 inches long can be contained within microscopic structures in a cell. A double-stranded break not only damages...
14.9K
Fixing Double-strand Breaks02:04

Fixing Double-strand Breaks

4.5K
4.5K
Integration by Parts: Indefinite Integrals01:26

Integration by Parts: Indefinite Integrals

230
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...
230
Integration by Parts: Definite Integrals01:23

Integration by Parts: Definite Integrals

91
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...
91

You might also read

Related Articles

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

Sort by
Same author

Performance patterns and records in the world aquatics masters championships: Where do the most frequently represented nations among the top-ten masters swimmers come from?

PloS one·2026
Same author

Cardiorespiratory Exercise Intensity Prescription in Cardiovascular Rehabilitation: Do Updated Guideline Recommendations Reflect Real Individual Effort Responses?

European journal of preventive cardiology·2026
Same author

Optimal lifelong roadmap post-ACS. A Clinical Consensus Statement of the European Association of Preventive Cardiology of the ESC.

European journal of preventive cardiology·2026
Same author

Effect of supervised exercise training on objectively measured physical activity in patients during anthracycline therapy.

JSAMS plus·2026
Same author

Evaluating biventricular diastolic function using cardiovascular magnetic resonance 4d-flow derived E/e'.

European heart journal. Imaging methods and practice·2026
Same author

Resilience against exercise-related coronary atherosclerosis: A case study in a master athlete participating in 500 marathons.

Sports medicine and health science·2026
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Feb 11, 2026

Application of an Amplitude-integrated EEG Monitor Cerebral Function Monitor to Neonates
05:58

Application of an Amplitude-integrated EEG Monitor Cerebral Function Monitor to Neonates

Published on: September 6, 2017

40.7K

Elliptic Double-Box Integrals: Massless Scattering Amplitudes beyond Polylogarithms.

Jacob L Bourjaily1, Andrew J McLeod1, Marcus Spradlin2,3

  • 1Niels Bohr International Academy and Discovery Center, Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark.

Physical Review Letters
|April 26, 2018
PubMed
Summary
This summary is machine-generated.

Researchers derived an analytic representation for a complex ten-particle, two-loop double-box integral using elliptic integrals and polylogarithms. This breakthrough simplifies calculations in quantum field theory and particle physics.

More Related Videos

Author Spotlight: Assessing the Feasibility of Using Amplitude-Integrated EEG During Neonatal Transport
05:15

Author Spotlight: Assessing the Feasibility of Using Amplitude-Integrated EEG During Neonatal Transport

Published on: June 21, 2024

1.4K
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

13.7K

Related Experiment Videos

Last Updated: Feb 11, 2026

Application of an Amplitude-integrated EEG Monitor Cerebral Function Monitor to Neonates
05:58

Application of an Amplitude-integrated EEG Monitor Cerebral Function Monitor to Neonates

Published on: September 6, 2017

40.7K
Author Spotlight: Assessing the Feasibility of Using Amplitude-Integrated EEG During Neonatal Transport
05:15

Author Spotlight: Assessing the Feasibility of Using Amplitude-Integrated EEG During Neonatal Transport

Published on: June 21, 2024

1.4K
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

13.7K

Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • Mathematical Physics

Background:

  • Calculating multi-loop scattering amplitudes is crucial for precision predictions in particle physics.
  • The ten-particle, two-loop double-box integral presents significant analytical challenges.

Purpose of the Study:

  • To derive an analytic representation of the ten-particle, two-loop double-box integral.
  • To express this integral in terms of elliptic integrals and weight-three polylogarithms.
  • To develop a canonical form for such complex integrals.

Main Methods:

  • Derivation of a fourfold, rational (Feynman-)parametric representation.
  • Expression of the integral in terms of dual-conformally invariant cross ratios.
  • Utilizing a simplified toy model to illustrate key features.

Main Results:

  • An analytic representation of the ten-particle, two-loop double-box integral was successfully derived.
  • The integral is expressed as an elliptic integral over weight-three polylogarithms.
  • A proposed normalization simplifies polylogarithmic degenerations.

Conclusions:

  • The derived analytic form offers a more manageable representation of the double-box integral.
  • A new 'symbology' for mixed iterated elliptic and polylogarithmic integrals is proposed for canonicalization.
  • This work advances the analytical techniques for multi-loop integrals in quantum field theory.