Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Vectors

Vectors

Vectors are mathematical entities characterized by both magnitude and direction. Unlike scalars, which are defined solely by magnitude, vectors represent quantities like displacement, velocity, and force, where direction is essential. Vectors are graphically represented as directed line segments, extending from an initial point to a terminal point, denoted with bold letters or arrows placed above the symbol. Two vectors are deemed equal if they share identical magnitudes and directions,...

Vector Algebra: Method of Components

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...

Extraction: Partition and Distribution Coefficients

Extraction: Partition and Distribution Coefficients

The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an organic...

Vector Components in the Cartesian Coordinate System

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...

Vector Transformation in Rotating Coordinate Systems

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 or Cross Product

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...

You might also read

Related Articles

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

Sort by

Same author

Development of a new deuterium-deuterium (D-D) neutron generator for prompt gamma-ray neutron activation analysis.

Applied radiation and isotopes : including data, instrumentation and methods for use in agriculture, industry and medicine·2014

Same author

Monte Carlo simulation of explosive detection system based on a Deuterium-Deuterium (D-D) neutron generator.

Applied radiation and isotopes : including data, instrumentation and methods for use in agriculture, industry and medicine·2014

Same author

Periodic magnetic field as a polarized and focusing thermal neutron spectrometer and monochromator.

The Review of scientific instruments·2010

Same author

Refractive lenses for coherent x-ray sources.

Applied optics·2008

Same author

X-ray focusing with compound lenses made from beryllium.

Optics letters·2007

Same author

X rays from relativistic electrons in a multilayer structure.

Physical review. E, Statistical, nonlinear, and soft matter physics·2003

Search research articles

Related Experiment Video

Updated: Jun 9, 2026

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

Matrix-vector multiplication using digital partitioning for more accurate optical computing.

|August 25, 2010

Summary

This summary is machine-generated.

Digital partitioning enhances optical matrix-vector processor accuracy and speed. This method offers high-accuracy calculations comparable to electronic computers, with potential for greater analog operation speeds.

More Related Videos

A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Related Experiment Videos

Last Updated: Jun 9, 2026

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Area of Science:

Optics and Photonics
Computer Science
Electrical Engineering

Background:

Optical matrix-vector processors offer high-speed computation.
Achieving high accuracy in analog optical processors is challenging.
Existing methods for improving accuracy have limitations.

Purpose of the Study:

To introduce and evaluate digital partitioning for optical matrix-vector processing.
To compare digital partitioning with other accuracy-enhancing algorithms.
To determine the most efficient algorithm for optical matrix processing.

Main Methods:

Digital partitioning algorithm implementation.
Comparative analysis of digital partitioning against digital multiplication by analog convolution, residue number systems, and redundant number representation.
Evaluation based on size, speed, hardware requirements, and throughput.

Main Results:

Digital partitioning provides a flexible way to increase the accuracy of optical matrix-vector processors.
Digital partitioning and digital multiplication by analog convolution are the most efficient algorithms considering coding time and hardware.
The architecture for digital partitioning allows analog computations for maximum single-processor throughput.

Conclusions:

Digital partitioning is a novel and efficient approach for high-accuracy optical matrix processing.
This method enables optical processors to achieve speeds competitive with or exceeding electronic computers.
The proposed digital partitioning technique offers significant advantages in terms of accuracy, speed, and hardware efficiency.