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 Representation of Complex Numbers01:16

Vector Representation of Complex Numbers

615
Complex numbers, represented in Cartesian coordinates, can also be visualized as vectors. These vectors can be expressed in polar form, emphasizing their magnitude and angle. When a complex number is input into a function, the output is another complex number, highlighting the function's zero point from which the vector representation can originate.
Consider a function defined as the product of the complex factors in the numerator divided by the product of the complex factors in the...
615
Vector Operations01:20

Vector Operations

2.6K
Vectors are physical quantities that have both magnitude and direction. The vector operations include addition, subtraction, and scalar multiplication.
A vector multiplied by a scalar value is called scalar multiplication. The result obtained is a new vector with a different magnitude. If the scalar is positive, the direction of the vector remains the same, but if it is negative, the direction of the vector is reversed. For example, the product of the mass and velocity yields the momentum.
2.6K
Complex Numbers01:29

Complex Numbers

499
The real number system cannot represent the square root of a negative number, which restricts solutions for certain equations, such as quadratics with negative discriminants. To address this, the complex number system was developed, introducing the imaginary unit i, where i = √(-1). This extension allows for the representation of all roots, including those involving negative radicands.A complex number is written in the form x + yi, where x and y are real numbers. Here, x represents the...
499
Vector Algebra: Method of Components01:08

Vector Algebra: Method of Components

20.5K
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...
20.5K
Complementary DNA01:44

Complementary DNA

32.2K
Overview
32.2K
Synthetic Disvision of Polynomials01:28

Synthetic Disvision of Polynomials

301
Synthetic division is an efficient algorithmic approach for dividing a polynomial by a linear binomial of the form x - c, where c is a real number. This method is helpful due to its streamlined process, which avoids the more cumbersome steps involved in the traditional long division of polynomials. It simplifies computation and serves as a practical tool for evaluating polynomials and identifying their factors.To perform synthetic division, one begins by listing the coefficients of the...
301

You might also read

Related Articles

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

Sort by
Same author

HiRMD: A System for Mortality Prediction via LLM-Based High-Risk Information Extraction and Diagnosis.

IEEE transactions on bio-medical engineering·2026
Same author

Memristive Physical Reservoir Computing.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2026
Same author

Advancing Chinese Conversation-based Patient Guidance with a Benchmark and Knowledge-Evolvable Assistant.

IEEE journal of biomedical and health informatics·2025
Same author

Optimized Tri-Coil Magnetic Guidance of Nanorobots for Targeted Plaque Therapy in the Middle Cerebral Artery.

IEEE transactions on nanobioscience·2025
Same author

BianCang: A Traditional Chinese Medicine Large Language Model.

IEEE journal of biomedical and health informatics·2025
Same author

Unsupervised Visible-Infrared ReID via Pseudo-Label Correction and Modality-Level Alignment.

IEEE transactions on neural networks and learning systems·2025

Related Experiment Video

Updated: Mar 31, 2026

DNA-Tethered RNA Polymerase for Programmable In vitro Transcription and Molecular Computation
09:26

DNA-Tethered RNA Polymerase for Programmable In vitro Transcription and Molecular Computation

Published on: December 29, 2021

5.0K

The DNA-Based Algorithms of Implementing Arithmetical Operations of Complex Vectors on a Biological Computer.

Weng-Long Chang, Athanasios V Vasilakos, Michael Shan-HuiHo

    IEEE Transactions on Nanobioscience
    |October 30, 2015
    PubMed
    Summary

    This study introduces novel DNA-based algorithms capable of performing complex vector arithmetic. These findings pave the way for new molecular computing approaches.

    More Related Videos

    Gene Digital Circuits Based on CRISPR-Cas Systems and Anti-CRISPR Proteins
    10:46

    Gene Digital Circuits Based on CRISPR-Cas Systems and Anti-CRISPR Proteins

    Published on: October 18, 2022

    2.4K
    Automated Robotic Liquid Handling Assembly of Modular DNA Devices
    11:22

    Automated Robotic Liquid Handling Assembly of Modular DNA Devices

    Published on: December 1, 2017

    13.0K

    Related Experiment Videos

    Last Updated: Mar 31, 2026

    DNA-Tethered RNA Polymerase for Programmable In vitro Transcription and Molecular Computation
    09:26

    DNA-Tethered RNA Polymerase for Programmable In vitro Transcription and Molecular Computation

    Published on: December 29, 2021

    5.0K
    Gene Digital Circuits Based on CRISPR-Cas Systems and Anti-CRISPR Proteins
    10:46

    Gene Digital Circuits Based on CRISPR-Cas Systems and Anti-CRISPR Proteins

    Published on: October 18, 2022

    2.4K
    Automated Robotic Liquid Handling Assembly of Modular DNA Devices
    11:22

    Automated Robotic Liquid Handling Assembly of Modular DNA Devices

    Published on: December 1, 2017

    13.0K

    Area of Science:

    • Biotechnology
    • Molecular Computing
    • Bioinformatics

    Background:

    • Traditional computing faces limitations in handling complex data structures.
    • DNA nanotechnology offers a promising alternative for computational tasks.

    Purpose of the Study:

    • To demonstrate the feasibility of DNA-based algorithms for complex vector arithmetic.
    • To explore the potential of DNA computing for advanced calculations.

    Main Methods:

    • Development of specific DNA sequences to represent complex vectors.
    • Design of DNA-based reaction cascades to perform arithmetic operations.
    • Experimental validation of the proposed algorithms.

    Main Results:

    • Successful implementation of addition and multiplication operations on complex vectors using DNA algorithms.
    • Demonstration of the accuracy and efficiency of the proposed molecular approach.
    • Validation of the theoretical framework through experimental results.

    Conclusions:

    • DNA-based algorithms can effectively perform complex vector arithmetic.
    • This research advances the field of molecular computing and DNA nanotechnology.
    • Potential applications in areas requiring high-throughput computation and complex data analysis.