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

Dimensional Analysis01:23

Dimensional Analysis

940
Dimensional analysis is a powerful tool that is used in physics and engineering to understand and predict the behavior of physical systems. The basic idea behind dimensional analysis is to express physical quantities in terms of fundamental dimensions such as the mass, length, and time. Derived dimensions like the velocity, acceleration, and force are derived from the combinations of these fundamental dimensions.
Dimensional analysis allows us to analyze and compare physical quantities on a...
940
Problem Solving: Dimensional Analysis01:08

Problem Solving: Dimensional Analysis

3.5K
Every mathematical equation that connects separate distinct physical quantities must be dimensionally consistent, which implies it must abide by two rules. For this reason, the concept of dimension is crucial. The first rule is that an equation's expressions on either side of an equality must have the exact same dimension, i.e., quantities of the same dimension can be added or removed. The second rule stipulates that all popular mathematical functions, such as exponential, logarithmic, and...
3.5K
Estimation of the Physical Quantities01:05

Estimation of the Physical Quantities

4.6K
On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
4.6K
Distance Measurements by Taping01:18

Distance Measurements by Taping

76
Tapes are essential in surveying for accurate, durable, and short-distance measurements. Made from lightweight, nylon-coated steel, they offer flexibility and strength for rugged outdoor use. The nylon coating protects against rust and wear, extending the tape's life. Standard lengths, around 30 meters, are marked in meters and millimeters for precision.Surveyors select tapes based on site conditions and accuracy needs. Lightweight, nylon-coated tapes are commonly used for ease of handling and...
76
Design Example: Dimensioning of Concrete Masonry Construction01:13

Design Example: Dimensioning of Concrete Masonry Construction

135
For the construction of a storeroom using concrete masonry units, it's essential to align the dimensions of the structure with the actual sizes of the blocks and the intended mortar joints. On the site in question, there's a stockpile of concrete masonry blocks with a nominal size of eight by eight by sixteen inches, which are to be used in the construction of the storeroom.
The site engineer has laid out a plan for the storeroom with external dimensions of twelve feet in length and...
135
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

121
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
121

You might also read

Related Articles

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

Sort by
Same author

Modeling spatial synchronization of predator-prey oscillations via the XY model under demographic stochasticity and migration.

Physical review. E·2026
Same author

Scale adaptive and robust intrinsic dimension estimation via optimal neighbourhood identification.

Scientific reports·2026
Same author

Cultural tightness and social cohesion under coevolving beliefs, behaviors, and preferences.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Unifying theories in high-dimensional biophysics: approaches, challenges and opportunities.

NPJ systems biology and applications·2026
Same author

The macroecological dynamics of sojourn trajectories in the human gut microbiome.

mSystems·2026
Same author

Systemic ozone therapy improves the quality of life in patients with bladder pain syndrome.

Bladder (San Francisco, Calif.)·2025
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: Aug 9, 2025

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

2.6K

Intrinsic Dimension Estimation for Discrete Metrics.

Iuri Macocco1, Aldo Glielmo1,2, Jacopo Grilli3

  • 1International School for Advanced Studies (SISSA), Via Bonomea 265, 34136 Trieste, Italy.

Physical Review Letters
|February 24, 2023
PubMed
Summary
This summary is machine-generated.

Researchers developed a new algorithm to accurately determine the intrinsic dimension (ID) of discrete datasets. Applied to DNA sequences, the method revealed a low-dimensional structure, suggesting evolutionary pressure acts on a limited manifold.

More Related Videos

Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data
09:37

Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data

Published on: April 26, 2016

8.6K
Quantifying Intermembrane Distances with Serial Image Dilations
07:45

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

6.5K

Related Experiment Videos

Last Updated: Aug 9, 2025

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

2.6K
Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data
09:37

Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data

Published on: April 26, 2016

8.6K
Quantifying Intermembrane Distances with Serial Image Dilations
07:45

Quantifying Intermembrane Distances with Serial Image Dilations

Published on: September 28, 2018

6.5K

Area of Science:

  • Computational Biology
  • Data Science
  • Bioinformatics

Background:

  • Real-world discrete datasets (e.g., surveys, DNA sequences) are common.
  • Standard unsupervised dimension reduction methods fail on discrete data, causing errors.
  • Accurate intrinsic dimension (ID) estimation is crucial for understanding complex discrete data.

Purpose of the Study:

  • To introduce a novel algorithm for inferring the intrinsic dimension (ID) of discrete datasets.
  • To validate the algorithm's accuracy using benchmark datasets.
  • To apply the algorithm to analyze high-dimensional metagenomic data for species fingerprinting.

Main Methods:

  • Development of a new algorithm specifically designed for discrete data spaces.
  • Testing and validation using established benchmark datasets.
  • Application to a metagenomic dataset to assess species' evolutionary patterns.

Main Results:

  • The algorithm accurately infers the intrinsic dimension (ID) of discrete datasets.
  • Analysis of a metagenomic dataset revealed a surprisingly low ID, approximately 2.
  • This low ID suggests evolutionary pressures constrain species to a low-dimensional manifold.

Conclusions:

  • The developed algorithm provides a reliable method for ID estimation in discrete spaces.
  • Metagenomic data exhibits a low-dimensional structure, challenging previous assumptions.
  • Evolutionary processes may operate within a reduced dimensional space despite high sequence complexity.