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

Vector Transformation in Rotating Coordinate Systems01:16

Vector Transformation in Rotating Coordinate Systems

Consider a vector rotating about an axis with an angular velocity, such that its tip sweeps a circular path.
Vector Algebra: Method of Components01:08

Vector Algebra: Method of Components

It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
In many applications, the magnitudes and directions of...
Vector or Cross Product01:17

Vector or Cross Product

Vector multiplication of two vectors yields a vector product, with the magnitude equal to the product of the individual vectors multiplied by the sine of the angle between both the vectors and the direction perpendicular to both the individual vectors. As there are always two directions perpendicular to a given plane, one on each side, the direction of the vector product is governed by the right-hand thumb rule.
Consider the cross product of two vectors. Imagine rotating the first vector about...
Vector Components in the Cartesian Coordinate System01:29

Vector Components in the Cartesian Coordinate System

Vectors are usually described in terms of their components in a coordinate system. Even in everyday life, we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if someone gives you directions for a particular location, you will be told to go a few km in a direction like east, west, north, or south, along with the angle in which you are supposed to move. In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is...
Vectors in Engineering Applications01:30

Vectors in Engineering Applications

A steel beam supported by two identical cables provides a practical example of static equilibrium. The beam has a downward weight of 5000 N, while the two cables support it from opposite sides. Because the arrangement is symmetric, each cable makes the same angle of 60° with the horizontal beam and carries the same tension.In equilibrium, the beam remains completely at rest. This means that the total horizontal and vertical forces must both be zero. Each cable pulls along its own direction, so...
Vector Algebra: Graphical Method01:10

Vector Algebra: Graphical Method

Vectors can be multiplied by scalars, added to other vectors, or subtracted from other vectors. The vector sum of two (or more) vectors is called the resultant vector or, for short, the resultant.
We use the laws of geometry to construct resultant vectors, followed by trigonometry to find vector magnitudes and directions. For a geometric construction of the sum of two vectors in a plane, we follow the parallelogram rule. Suppose two vectors are at arbitrary positions. Translate either one of...

You might also read

Related Articles

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

Sort by
Same author

"Neurotoxic mechanisms of microplastic compounds in Alzheimer's and Parkinson's diseases: A network toxicology and molecular docking study".

Ecotoxicology and environmental safety·2026
Same author

PD-L1-targeted OMV priming licenses myeloid co-stimulation and chemokine circuits to potentiate CAR-T therapy in advanced-stage solid tumors.

Journal of nanobiotechnology·2026
Same author

Development of a dual-mode immunoassay kit for periostin detection in exhaled breath condensate using α-NaYF<sub>4</sub>@ZIF-67 core-shell nanostructures.

Biosensors & bioelectronics·2026
Same author

Functional precision oncology platform of BRAF<sup>V600E</sup>-mutated colorectal cancer organoids predicts therapy response and reveals RNF43-mediated immunogenicity.

Drug resistance updates : reviews and commentaries in antimicrobial and anticancer chemotherapy·2026
Same author

Development and validation of a nomogram prediction model for prolonged length of hospital stay in patients with AECOPD.

Respiratory medicine·2026
Same author

Autoantibodies Predictive of Atherosclerosis Progression and Statin Response in Juvenile-Onset SLE: A Biomarker Discovery Study.

medRxiv : the preprint server for health sciences·2026

Related Experiment Video

Updated: Jun 13, 2026

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

Carry-free vector-matrix multiplication on a dynamically reconfigurable optical platform.

Xianchao Wang1, Junjie Peng, Mei Li

  • 1School of Computer Engineering and Science, Shanghai University,149 Yanchang Road, Shanghai 200072, China.

Applied Optics
|April 23, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a novel optical vector-matrix multiplication method using a reconfigurable ternary optical computer. The approach simplifies computations with carry-free addition and parallel multiplication for efficient optical processing.

More Related Videos

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors
11:15

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors

Published on: May 30, 2016

Related Experiment Videos

Last Updated: Jun 13, 2026

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors
11:15

A Guide to Structured Illumination TIRF Microscopy at High Speed with Multiple Colors

Published on: May 30, 2016

Area of Science:

  • Optical Computing
  • Computer Architecture
  • Digital Signal Processing

Background:

  • Vector-matrix multiplication (VMM) is a fundamental operation in many computational tasks.
  • Traditional electronic VMM faces limitations in speed and energy efficiency.
  • Optical computing offers potential for high-speed parallel processing.

Purpose of the Study:

  • To propose a novel optical vector-matrix multiplication (OVMM) method.
  • To leverage a reconfigurable ternary optical computer for enhanced VMM.
  • To investigate the use of the modified signed-digit (MSD) number system for optical computation.

Main Methods:

  • Developed a novel OVMM using five logic operations based on the modified signed-digit (MSD) number system.
  • Implemented a carry-free optical addition in three steps, independent of operand length.
  • Proposed a parallel implementation method for MSD multiplication using partial product generation and a binary-addition-tree algorithm.

Main Results:

  • Demonstrated a feasible and correct OVMM method using the proposed optical computing platform.
  • Initial experiments validated the effectiveness of the carry-free addition and parallel multiplication techniques.
  • The reconfigurable ternary optical computer enables runtime adaptation of logic processors.

Conclusions:

  • The proposed OVMM method is a viable approach for high-performance optical computation.
  • The novel optical computing platform and MSD-based operations offer significant advantages.
  • This research paves the way for more efficient optical processing architectures.