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

Multi-input and Multi-variable systems01:22

Multi-input and Multi-variable systems

Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
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 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...
Vectors01:30

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 Operations01:20

Vector Operations

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.
Vector Representation of Complex Numbers01:16

Vector Representation of Complex Numbers

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 denominator.

You might also read

Related Articles

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

Sort by
Same author

Measurement of jet activity produced in top-quark events with an electron, a muon and two <i>b</i>-tagged jets in the final state in <i>pp</i> collisions at [Formula: see text] TeV with the ATLAS detector.

The European physical journal. C, Particles and fields·2017
Same author

Performance of algorithms that reconstruct missing transverse momentum in [Formula: see text]= 8 TeV proton-proton collisions in the ATLAS detector.

The European physical journal. C, Particles and fields·2017
Same author

Measurement of the <i>W</i> boson polarisation in [Formula: see text] events from <i>pp</i> collisions at [Formula: see text] = 8 TeV in the lepton + jets channel with ATLAS.

The European physical journal. C, Particles and fields·2017
Same author

[Development and evaluation on the primipara social capital scale].

Zhonghua yu fang yi xue za zhi [Chinese journal of preventive medicine]·2017
Same author

Measurement of the prompt <i>J</i>/[Formula: see text] pair production cross-section in <i>pp</i> collisions at [Formula: see text] TeV with the ATLAS detector.

The European physical journal. C, Particles and fields·2017
Same author

Search for triboson [Formula: see text] production in <i>pp</i> collisions at [Formula: see text] [Formula: see text] with the ATLAS detector.

The European physical journal. C, Particles and fields·2017
Same journal

Gaussian-modulated continuous-variable quantum key distribution over 60 km fiber using an integrated silicon photonic receiver.

Optics letters·2026
Same journal

E2E-OCT: end-to-end joint learning model using optical coherence tomography images for vocal cord leukoplakia diagnosis.

Optics letters·2026
Same journal

Holographic generation of panoramic 3D scenes by concave ellipsoidal mirror reflection.

Optics letters·2026
Same journal

Dual-pilot phase recovery with pair-wise maximum-ratio combining for coherent PONs.

Optics letters·2026
Same journal

Mapping the whispering gallery modes of a CaF<sub>2</sub> disk resonator with half-tapered fibers to estimate the fundamental mode volume.

Optics letters·2026
Same journal

Quantitative estimation of deep-subwavelength scale via dark-field scattering axial energy concentration decay profiles.

Optics letters·2026
See all related articles

Related Experiment Videos

Binary-encoded vector-matrix multiplication architecture.

C Zhou, L Liu, Z Wang

    Optics Letters
    |October 3, 2009
    PubMed
    Summary
    This summary is machine-generated.

    A novel binary-encoded architecture enables highly parallel vector-matrix multiplication. This new design efficiently produces mixed binary format results, proving effective in initial tests.

    Related Experiment Videos

    Area of Science:

    • Computer Engineering
    • Digital Systems Architecture

    Background:

    • Vector-matrix multiplication is a fundamental operation in many computational tasks.
    • Existing architectures face challenges in achieving high parallelism and efficiency for binary operations.

    Purpose of the Study:

    • To propose a new binary-encoded vector-matrix multiplication architecture.
    • To enable highly parallel computation for this operation.

    Main Methods:

    • Development of a novel binary-encoded vector-matrix multiplication architecture.
    • Implementation of highly parallel processing within the architecture.
    • Generation of mixed binary format results in the output plane.

    Main Results:

    • The proposed architecture successfully performs vector-matrix multiplication.
    • High parallelism was achieved in the computational process.
    • Mixed binary format results were obtained effectively.

    Conclusions:

    • The new architecture is effective for binary-encoded vector-matrix multiplication.
    • The design facilitates efficient and parallel computation.
    • Preliminary experiments validate the proposed architecture's performance.