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Related Concept Videos

Energy and Power Signals01:17

Energy and Power Signals

In an electrical system with a resistor, voltage and current signals facilitate the measurement of power and energy across the resistor. For a continuous-time signal, the total energy over a time interval is defined as the integral of the square of the signal's magnitude over that interval. Mathematically, this is expressed as:
Continuous Charge Distributions01:17

Continuous Charge Distributions

Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
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Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
Properties of Continuous Functions01:29

Properties of Continuous Functions

Continuous functions exhibit smooth, uninterrupted behavior, and combining them through standard operations retains this continuity. If f and g are continuous at a point a, then the functions f+g, f-g, cf (where c is a constant), fg, and fg (provided g(a)a) are also continuous at a. This allows the construction of complex functions from simpler continuous parts without losing smoothness.Polynomials, which are expressions formed by sums of powers of x with constant coefficients, are continuous...
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Continuity of a Function

A function is continuous at a point a if three conditions are met: the function is defined at a, the limit of the function as x approaches a exists, and this limit equals the function’s value. Mathematically, this is written asThis definition ensures the graph of the function does not exhibit any breaks, holes, or jumps at that point. Discontinuities occur when any of these conditions fail. A removable discontinuity exists when the two-sided limit exists but the function is either undefined or...
Instantaneous Power01:22

Instantaneous Power

Instantaneous power is important in electrical circuits, mainly when dealing with sinusoidal input. Instantaneous power, denoted as p(t), results from the multiplication of the instantaneous voltage (v(t)) across an element and the instantaneous current (i(t)) flowing through it. This relationship adheres to the passive sign convention and represents a fundamental principle in electrical engineering.

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Related Experiment Video

Updated: May 15, 2026

Estimation of Contact Regions Between Hands and Objects During Human Multi-Digit Grasping
09:41

Estimation of Contact Regions Between Hands and Objects During Human Multi-Digit Grasping

Published on: April 21, 2023

Is power grasping contact continuous or discrete?

Todd C Pataky1, Greg P Slota, Mark L Latash

  • 1Department of Bioengineering, Shinshu University, Ueda, Nagano, Japan.

Journal of Applied Biomechanics
|December 29, 2012
PubMed
Summary

This study found 4-5 discrete contacts during cylindrical power grasps, rejecting previous bimodal/trimodal hypotheses. Findings suggest a revised hand grasp taxonomy based on contact type.

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Area of Science:

  • Biomechanics
  • Neuroscience
  • Human motor control

Background:

  • The central nervous system's control strategies during power grasp are debated.
  • Previous hypotheses suggested bimodal or trimodal force maxima for cylindrical power grasps.

Purpose of the Study:

  • To investigate the number of local force maxima during cylindrical power grasp.
  • To test existing hypotheses regarding force control in power grasping.
  • To propose modifications to current grasping taxonomy.

Main Methods:

  • Quantified local force maxima during pushing and pulling efforts in the plane perpendicular to a cylinder's axis.
  • Utilized high-resolution measurements (4.8°) with twelve participants grasping eight targets.
  • Defined contact number as local maxima exceeding background variance.

Main Results:

  • Observed a consistent 4-5 discrete contacts across all participants.
  • Contacts were localized to distal phalanges and metacarpal heads.
  • Rejected bimodal and trimodal force control hypotheses for cylindrical power grasps.

Conclusions:

  • Cylindrical power grasping involves 4-5 discrete contacts, not bimodal or trimodal patterns.
  • Current grasping taxonomy may need revision to differentiate continuous and discrete contact types.
  • Distinguishing power and precision grasps may rely on grasp manipulability rather than contact type.