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Related Concept Videos

Space Trusses01:25

Space Trusses

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A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ball-and-socket joints to create a stable and versatile framework. The space truss is widely used in various construction projects due to its adaptability and capacity to withstand complex loads.
At the core of a space truss lies the fundamental unit known as the tetrahedron. This structure is composed of six members that form a three-dimensional shape...
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State Space Representation01:27

State Space Representation

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The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
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Space Trusses: Problem Solving01:29

Space Trusses: Problem Solving

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A space truss is a three-dimensional counterpart of a planar truss. These structures consist of members connected at their ends, often utilizing ball-and-socket joints to create a stable and versatile framework. Due to its adaptability and capacity to withstand complex loads, the space truss is widely used in various construction projects.
Consider a tripod consisting of a tetrahedral space truss with a ball-and-socket joint at C. Suppose the height and lengths of the horizontal and vertical...
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Transfer Function to State Space01:23

Transfer Function to State Space

820
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an RLC...
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State Space to Transfer Function01:21

State Space to Transfer Function

598
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
598
Rocket Propulsion in Empty Space - I01:13

Rocket Propulsion in Empty Space - I

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The driving force for the motion of any vehicle is friction, but in the case of rocket propulsion in space, the friction force is not present. The motion of a rocket changes its velocity (and hence its momentum) by ejecting burned fuel gases, thus causing it to accelerate in the direction opposite to the velocity of the ejected fuel. In this situation, the mass and velocity of the rocket constantly change along with the total mass of ejected gases. Due to conservation of momentum, the...
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Related Experiment Video

Updated: Feb 16, 2026

An Alternative and Validated Injection Method for Accessing the Subretinal Space via a Transcleral Posterior Approach
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Subacromial Space Injections.

Bernard R Bach, Charles Bush-Joseph

    The Physician and Sportsmedicine
    |December 31, 2017
    PubMed
    Summary
    This summary is machine-generated.

    Diagnostic subacromial injections can help identify the cause of shoulder pain in active individuals. This procedure aids in differentiating various shoulder conditions and guiding further treatment options.

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    Area of Science:

    • Orthopedics
    • Sports Medicine
    • Diagnostic Procedures

    Background:

    • Shoulder pain is common in active individuals, often hindering mobility and daily activities.
    • Accurate diagnosis is crucial for effective treatment of shoulder conditions like impingement syndrome and rotator cuff tears.

    Purpose of the Study:

    • To evaluate the diagnostic utility of subacromial space anesthetic injections for active individuals with shoulder pain.
    • To determine if these injections can differentiate between various shoulder pathologies.

    Main Methods:

    • Administering anesthetic injections into the subacromial space of patients experiencing shoulder pain.
    • Assessing changes in active range of motion, perceived rotator cuff weakness, and pain during specific movements post-injection.

    Main Results:

    • Diagnostic injections improved active range of motion and reduced or eliminated pain in certain motion arcs.
    • These injections helped distinguish between impingement syndrome, rotator cuff lesions, adhesive capsulitis, and shoulder instability.
    • Significant pain reduction or improved motion indicated potential benefit from subsequent corticosteroid therapy.

    Conclusions:

    • Subacromial anesthetic injections are a valuable tool for diagnosing the source of shoulder pain in active patients.
    • This diagnostic method assists in differentiating between common shoulder pathologies, guiding treatment decisions.
    • Patients experiencing substantial improvement may be candidates for therapeutic corticosteroid injections.