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

Deductive Reasoning01:16

Deductive Reasoning

55.1K
Deductive reasoning, or deduction, is the type of logic used in hypothesis-based science. In deductive reasoning, the pattern of thinking moves in the opposite direction as compared to inductive reasoning, which means that it uses a general principle or law to predict specific results. From those general principles, a scientist can deduce and predict the specific results that would be valid as long as the general principles are valid.
For example, a researcher can deduce specific predictions...
55.1K
Collisions in Multiple Dimensions: Introduction01:05

Collisions in Multiple Dimensions: Introduction

4.9K
It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a...
4.9K
Collisions in Multiple Dimensions: Problem Solving01:06

Collisions in Multiple Dimensions: Problem Solving

3.7K
In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...
3.7K
Dimensional Analysis02:19

Dimensional Analysis

14.9K
The concept of dimension is important because every mathematical equation linking physical quantities must be dimensionally consistent, implying that mathematical equations must meet the following two rules. The first rule is that, in an equation, the expressions on each side of the equal sign must have the same dimensions. This is fairly intuitive since we can only add or subtract quantities of the same type (dimension). The second rule states that, in an equation, the arguments of any of the...
14.9K
Theorems of Pappus and Guldinus: Problem Solving01:12

Theorems of Pappus and Guldinus: Problem Solving

711
Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For example, consider a cylindrical storage tank with a conical top. Finding the surface area or volume can be challenging for such complex shapes. These theorems are particularly useful in calculating the volume and surface area of such systems. Here, the cylindrical storage tank with a conical top can be broken down into two simple shapes: a...
711
Woodward–Hoffmann Selection Rules and Microscopic Reversibility01:34

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

3.0K
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
3.0K

You might also read

Related Articles

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

Sort by
Same author

Practical Catalytic Asymmetric Synthesis of Gem-Dimethyl Bicyclic [3.1.0] Proline: A Valuable Building Block for Antiviral Agents.

The Journal of organic chemistry·2026
Same author

The prognostic value of different HPV infection statuses in cervical cancer.

Scientific reports·2026
Same author

Integrating dynamic vegetation phenology into SWAT improves watershed nitrogen and phosphorus simulations.

Journal of environmental management·2026
Same author

Distribution of divalent small interfering RNA into neurons of sensory ganglia produces selective, durable knockdown of Nav1.7 and strong analgesia.

Pain·2026
Same author

From active defense to cross-kingdom alarm: Rhizosphere microenvironment remodeling in soybean under polylactic acid nanoplastics and cadmium Co-stress.

Journal of hazardous materials·2026
Same author

Molecular characteristics and metastatic mechanism of patients diagnosed with Krukenberg tumor from gastric cancer.

Journal of gastrointestinal oncology·2026
Same journal

MesoSplats: Texture Synthesis with Gaussian Splatting.

IEEE transactions on visualization and computer graphics·2026
Same journal

GLLA: A Unified Force-Directed Graph Layout Framework Supporting Local Adjustments.

IEEE transactions on visualization and computer graphics·2026
Same journal

Multi-Perception Crowd: Learning to combine entity and implicit perception for diverse crowd simulation.

IEEE transactions on visualization and computer graphics·2026
Same journal

Hiding in Plain Sight: Camouflaging Real-world Objects.

IEEE transactions on visualization and computer graphics·2026
Same journal

RTF2Mesh: Restricted Tangent Face Based Mesh Compression With Neural Displacement Fields.

IEEE transactions on visualization and computer graphics·2026
Same journal

Practical Occluder Generation for Mobile Games.

IEEE transactions on visualization and computer graphics·2026
See all related articles

Related Experiment Video

Updated: Jun 12, 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

2.4K

DimBridge: Interactive Explanation of Visual Patterns in Dimensionality Reductions with Predicate Logic.

Brian Montambault, Gabriel Appleby, Jen Rogers

    IEEE Transactions on Visualization and Computer Graphics
    |September 23, 2024
    PubMed
    Summary
    This summary is machine-generated.

    DimBridge is a new visual analytics tool that helps users interpret high-dimensional data projections by linking visual patterns back to original data. This aids in extracting meaningful insights from complex datasets.

    More Related Videos

    Generating Strictly Controlled Stimuli for Figure Recognition Experiments
    05:39

    Generating Strictly Controlled Stimuli for Figure Recognition Experiments

    Published on: March 18, 2019

    5.2K
    Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues
    07:08

    Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues

    Published on: July 14, 2015

    7.3K

    Related Experiment Videos

    Last Updated: Jun 12, 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

    2.4K
    Generating Strictly Controlled Stimuli for Figure Recognition Experiments
    05:39

    Generating Strictly Controlled Stimuli for Figure Recognition Experiments

    Published on: March 18, 2019

    5.2K
    Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues
    07:08

    Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues

    Published on: July 14, 2015

    7.3K

    Area of Science:

    • Data Visualization
    • Visual Analytics
    • Machine Learning

    Background:

    • High-dimensional data visualization relies on dimensionality reduction techniques.
    • Interpreting patterns in reduced dimensions relative to original data is challenging.
    • Existing tools lack sufficient support for connecting projection patterns to original data insights.

    Purpose of the Study:

    • Introduce DimBridge, a visual analytics tool for bridging projection patterns and original data.
    • Enable users to interact with visual patterns in projections and retrieve corresponding data patterns.
    • Facilitate deeper understanding and extraction of insights from dimensionality reduction results.

    Main Methods:

    • DimBridge leverages first-order predicate logic to identify relevant subspaces.
    • The tool provides interactive interfaces for visualizing and exploring these subspaces.
    • Supports various analytical tasks, including cluster comparison and latent structure explanation.

    Main Results:

    • DimBridge successfully links visual patterns in projections to specific data patterns in the original space.
    • Users can interactively explore and understand the relationship between reduced and original dimensions.
    • Demonstrated utility in overcoming interpretation challenges in dimensionality reduction.

    Conclusions:

    • DimBridge enhances the interpretability of dimensionality reduction techniques.
    • The tool empowers users to extract more reliable insights from high-dimensional data visualizations.
    • Facilitates a more robust understanding of complex data structures through visual analytics.