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

Transfer Function to State Space01:23

Transfer Function to State Space

797
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an RLC...
797
State Space to Transfer Function01:21

State Space to Transfer Function

576
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
576
Graphing the Wave Function01:13

Graphing the Wave Function

3.0K
Consider the wave equation for a sinusoidal wave moving in the positive x-direction. The wave equation is a function of both position and time. From the wave equation, two different graphs can be plotted.
3.0K
Correlations02:20

Correlations

35.9K
Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
35.9K
The Wave Nature of Light02:12

The Wave Nature of Light

61.3K
The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
61.3K
Correlation and Causation01:27

Correlation and Causation

42.5K
Statistical tests can calculate whether there is a relationship, or correlation, between independent and dependent variables. An indirect relationship of the variables signifies a correlation, while a direct relationship shows causation. If it is determined that no connection exists between the variables, then the correlation is a coincidence.
Correlation versus Causation
If the dependent variable increases or decreases when the independent variable increases, there is a positive or negative...
42.5K

You might also read

Related Articles

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

Sort by
Same author

Excitonic Insulators and Superfluidity in Two-Dimensional Bilayers without External Fields.

The journal of physical chemistry letters·2023
Same author

Witnessed out-of-hospital cardiac arrest- effects of emergency dispatch recognition.

Acta anaesthesiologica Scandinavica·2017
Same author

Ultra-acute diagnostics for stroke: Large-scale implementation of prehospital biomarker sampling.

Acta neurologica Scandinavica·2016
Same author

Out-of-hospital paediatric emergencies: a prospective, population-based study.

Acta anaesthesiologica Scandinavica·2015
Same author

Phosphorus in manure and sewage sludge more recyclable than in soluble inorganic fertilizer.

Environmental science & technology·2015
Same author

Integrated model for providing tactical emergency medicine support (TEMS): analysis of 120 tactical situations.

Acta anaesthesiologica Scandinavica·2011
Same journal

Revisiting crossed-correlated baths in open quantum systems simulated by HEOM or T-TEDOPA.

The Journal of chemical physics·2026
Same journal

Vesicle size and membrane composition control monomer transfer pathways in multicomponent lipid vesicles.

The Journal of chemical physics·2026
Same journal

Polaron-mediated exciton dynamics of P(NDI2OD-T2) unveiled by transient absorption spectroscopy under electrochemical conditions.

The Journal of chemical physics·2026
Same journal

Green-Kubo relation in a mesoscale odd fluid model.

The Journal of chemical physics·2026
Same journal

Nitrogenation of microscopic MoS2 surfaces by oxidation scanning probe lithography.

The Journal of chemical physics·2026
Same journal

Molecular structure, binding, and disorder in TDBC-Ag plexcitonic assemblies.

The Journal of chemical physics·2026
See all related articles

Related Experiment Video

Updated: Jan 29, 2026

Determination of Lipid Raft Partitioning of Fluorescently-tagged Probes in Living Cells by Fluorescence Correlation Spectroscopy FCS
10:59

Determination of Lipid Raft Partitioning of Fluorescently-tagged Probes in Living Cells by Fluorescence Correlation Spectroscopy FCS

Published on: April 6, 2012

16.7K

Space partitioning of exchange-correlation functionals with the projector augmented-wave method.

H Levämäki1, M Kuisma2, K Kokko3

  • 1Applied Materials Physics, Department of Materials Science and Engineering, Royal Institute of Technology, Stockholm SE-100 44, Sweden.

The Journal of Chemical Physics
|February 10, 2019
PubMed
Summary
This summary is machine-generated.

We introduce a new space partitioning method for density functional theory (DFT) calculations, enabling tailored exchange-correlation treatments for complex systems like metallic alloys.

More Related Videos

Micro 3D Printing Using a Digital Projector and its Application in the Study of Soft Materials Mechanics
09:24

Micro 3D Printing Using a Digital Projector and its Application in the Study of Soft Materials Mechanics

Published on: November 27, 2012

25.9K
Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
15:58

Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing

Published on: December 3, 2013

6.1K

Related Experiment Videos

Last Updated: Jan 29, 2026

Determination of Lipid Raft Partitioning of Fluorescently-tagged Probes in Living Cells by Fluorescence Correlation Spectroscopy FCS
10:59

Determination of Lipid Raft Partitioning of Fluorescently-tagged Probes in Living Cells by Fluorescence Correlation Spectroscopy FCS

Published on: April 6, 2012

16.7K
Micro 3D Printing Using a Digital Projector and its Application in the Study of Soft Materials Mechanics
09:24

Micro 3D Printing Using a Digital Projector and its Application in the Study of Soft Materials Mechanics

Published on: November 27, 2012

25.9K
Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
15:58

Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing

Published on: December 3, 2013

6.1K

Area of Science:

  • Computational materials science
  • Quantum chemistry
  • Condensed matter physics

Background:

  • Density functional theory (DFT) methods require accurate exchange-correlation functionals.
  • Treating complex systems, such as metallic alloys, often necessitates specialized functionals for different regions (e.g., bulk vs. surface).
  • Existing DFT codes may lack the flexibility to apply different functionals to distinct spatial regions within a single calculation.

Purpose of the Study:

  • To implement a Becke fuzzy cells space partitioning scheme within the GPAW DFT code.
  • To enable the application of quasi-nonuniform exchange-correlation schemes for improved accuracy in materials simulations.
  • To provide a practical approach for calculating metallic alloys using generalized gradient approximation (GGA) functionals.

Main Methods:

  • Implementation of the Becke fuzzy cells space partitioning algorithm.
  • Integration of the partitioning scheme into the projector augmented-wave (PAW) based GPAW code.
  • Application of the quasi-nonuniform exchange-correlation scheme for metallic alloy calculations.

Main Results:

  • Successful implementation of the Becke fuzzy cells space partitioning within GPAW.
  • Demonstration of the quasi-nonuniform exchange-correlation scheme's applicability to metallic alloys.
  • Validation of the implementation through a series of test calculations, confirming its correctness.

Conclusions:

  • The developed space partitioning scheme enhances the flexibility of DFT calculations.
  • This method offers a practical and accurate approach for studying metallic alloys.
  • The implementation provides a valuable tool for computational materials science research.