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

Compacting Factor test01:22

Compacting Factor test

681
The compacting factor test is a method used to assess the workability of concrete. It is  especially suitable for concrete mixes containing aggregates up to one and a half inches in size. This test involves specialized equipment consisting of two truncated cone-shaped hoppers and a cylinder, all with polished interior surfaces to minimize friction.
The procedure begins by placing concrete into the upper hopper without any compaction. Once filled, the bottom door of this hopper is opened,...
681
Ion Exchange01:17

Ion Exchange

1.5K
Ion exchange chromatography separates charged molecules from a solution by reversibly exchanging them with mobile, or 'active', ions associated with the oppositely charged stationary phase. This method can be used to separate ions, soften and deionize water, and purify solutions. The polymers comprising the ion-exchange column are high-molecular-weight and chemically stable polymers, crosslinked to be porous and essentially insoluble. They are also functionalized with either acidic or...
1.5K
Basic Operations on Signals01:22

Basic Operations on Signals

1.2K
Basic signal operations include time reversal, time scaling, time shifting, and amplitude transformations. These operations are fundamental in signal processing and analysis.
Time Reversal mirrors a continuous-time signal about the vertical axis at t=0. This is achieved by substituting t with −t. For example, if a signal x(t) is considered, the time-reversed signal is x(−t). This operation can be graphically represented, showing the mirrored signal.
1.2K
Maximum Size of Aggregate01:12

Maximum Size of Aggregate

817
The maximum size of aggregate is defined as the aperture of the sieve retaining 15 percent or more of the particles present in the aggregate sample. The aggregate's maximum size impacts the concrete's water requirement, workability, and strength. Larger aggregates reduce the surface area needing cement paste coverage, which can lower water needs, thereby allowing a decrease in the water-to-cement ratio when the desired workability and richness of the mix are to be maintained, which can...
817
Vector Operations01:20

Vector Operations

2.6K
Vectors are physical quantities that have both magnitude and direction. The vector operations include addition, subtraction, and scalar multiplication.
A vector multiplied by a scalar value is called scalar multiplication. The result obtained is a new vector with a different magnitude. If the scalar is positive, the direction of the vector remains the same, but if it is negative, the direction of the vector is reversed. For example, the product of the mass and velocity yields the momentum.
2.6K
Convolution Properties I01:20

Convolution Properties I

670
Convolution computations can be simplified by utilizing their inherent properties.
The commutative property reveals that the input and the impulse response of an LTI (Linear Time-Invariant) system can be interchanged without affecting the output:
670

You might also read

Related Articles

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

Sort by
Same author

[Effect of vacuum drainage on the blood circulation of expanded flap in ear reconstruction].

Zhonghua zheng xing wai ke za zhi = Zhonghua zhengxing waike zazhi = Chinese journal of plastic surgery·2013
Same author

The sedative effects and the attenuation of cardiovascular and arousal responses during anesthesia induction and intubation in pediatric patients: a randomized comparison between two different doses of preoperative intranasal dexmedetomidine.

Paediatric anaesthesia·2013
Same author

MicroRNA expression aberration in Chinese patients with relapsing remitting multiple sclerosis.

Journal of molecular neuroscience : MN·2013
Same author

[Interventional treatment on bilateral carotid artery pseudoaneurysm rupture bleeding after radiotherapy on a patient with nasopharyngeal carcinoma].

Zhonghua er bi yan hou tou jing wai ke za zhi = Chinese journal of otorhinolaryngology head and neck surgery·2013
Same author

Discovery of 4,6-substituted-(diaphenylamino)quinazolines as potent c-Src inhibitors.

Organic & biomolecular chemistry·2013
Same author

[Study on occupational exposure limit of dimethoxymethane in workplace air].

Zhonghua lao dong wei sheng zhi ye bing za zhi = Zhonghua laodong weisheng zhiyebing zazhi = Chinese journal of industrial hygiene and occupational diseases·2013
Same journal

Nuclear Gradients from Auxiliary-Field Quantum Monte Carlo and Their Applications in ML-Driven Geometry Optimization and Transition State Search.

Journal of chemical theory and computation·2026
Same journal

Correction to "Cluster-in-Molecule Local Correlation Method with an Accurate Distant Pair Correction for Large Systems".

Journal of chemical theory and computation·2026
Same journal

Machine-Learned Force Fields for Lattice Dynamics at Coupled-Cluster Level Accuracy.

Journal of chemical theory and computation·2026
Same journal

Systematic Molecularity-Dependent Entropy Errors in Continuum/RRHO Solution Thermochemistry: Origin and Correction.

Journal of chemical theory and computation·2026
Same journal

After 100 Years of Quantum Mechanics: Toward a Constructive Observation-Centered Perspective.

Journal of chemical theory and computation·2026
Same journal

Sample-Based Quantum Diagonalization Methods for Modeling the Photochemistry of Diazirine and Diazo Compounds.

Journal of chemical theory and computation·2026
See all related articles

Related Experiment Video

Updated: Mar 23, 2026

Author Spotlight: Advancing Understanding of Age-Related Lens Stiffness Changes
05:19

Author Spotlight: Advancing Understanding of Age-Related Lens Stiffness Changes

Published on: April 5, 2024

3.0K

Adaptively Compressed Exchange Operator.

Lin Lin1,2

  • 1Department of Mathematics, University of California , Berkeley, California 94720, United States.

Journal of Chemical Theory and Computation
|April 6, 2016
PubMed
Summary
This summary is machine-generated.

We developed the adaptively compressed exchange operator (ACE) formulation to reduce computational costs in quantum chemistry. This method significantly accelerates Hartree-Fock and hybrid density functional theory calculations without sacrificing accuracy.

More Related Videos

A Uniaxial Compression Experiment with CO2-Bearing Coal Using a Visualized and Constant-Volume Gas-Solid Coupling Test System
10:27

A Uniaxial Compression Experiment with CO2-Bearing Coal Using a Visualized and Constant-Volume Gas-Solid Coupling Test System

Published on: June 12, 2019

9.2K
Automated Detection and Analysis of Exocytosis
13:28

Automated Detection and Analysis of Exocytosis

Published on: September 11, 2021

4.0K

Related Experiment Videos

Last Updated: Mar 23, 2026

Author Spotlight: Advancing Understanding of Age-Related Lens Stiffness Changes
05:19

Author Spotlight: Advancing Understanding of Age-Related Lens Stiffness Changes

Published on: April 5, 2024

3.0K
A Uniaxial Compression Experiment with CO2-Bearing Coal Using a Visualized and Constant-Volume Gas-Solid Coupling Test System
10:27

A Uniaxial Compression Experiment with CO2-Bearing Coal Using a Visualized and Constant-Volume Gas-Solid Coupling Test System

Published on: June 12, 2019

9.2K
Automated Detection and Analysis of Exocytosis
13:28

Automated Detection and Analysis of Exocytosis

Published on: September 11, 2021

4.0K

Area of Science:

  • Quantum Chemistry
  • Computational Physics

Background:

  • The Fock exchange operator is crucial for accurate quantum chemistry calculations.
  • Its high computational cost limits the scale of Hartree-Fock and hybrid DFT methods.

Purpose of the Study:

  • To develop a computationally efficient formulation for the Fock exchange operator.
  • To reduce the cost of Hartree-Fock and hybrid DFT calculations without compromising accuracy.

Main Methods:

  • Introduced the adaptively compressed exchange operator (ACE) formulation.
  • Integrated ACE into iterative frameworks for Hartree-Fock-like calculations, including planewave-based methods.

Main Results:

  • The ACE formulation significantly reduces computational cost.
  • ACE is applicable to insulating, semiconducting, and metallic systems, irrespective of band gap size.
  • Achieved orders-of-magnitude acceleration in calculations, with iteration costs comparable to GGA approximations.

Conclusions:

  • The ACE formulation offers a substantial speedup for quantum chemistry calculations.
  • It provides a viable and accurate alternative for large-scale electronic structure computations.
  • ACE is particularly beneficial for systems where storage of the exchange operator is costly.